Official Paper

CTET (Maths & Science) Official Paper-II (Held On: 08 Feb, 2026 Shift 1) (Previous Year Paper)

150 questions · 150 minutes · with answers · free

Child Development and Pedagogy (30 questions)

Assertion (A): If physical development of children is delayed then their social and emotional development gets affected.
Reason (R): There is developmental continuity in the course of children's development.
Choose the correct option:

((a))
Both (A) and (R) are true and (R) is the correct explanation of (A).
((b))
Both (A) and (R) are true but (R) is not the correct explanation of (A).
((c))
(A) is true but (R) is false.
((d))
Both (A) and (R) are false.

Show Answer

Answer: ((a))

Both (A) and (R) are true and (R) is the correct explanation of (A).

Introduction

Child development is a continuous and interconnected process that encompasses physical, social, emotional, and cognitive growth. Each aspect of development influences the others, creating a dynamic interplay that shapes a child’s overall progress. Delays in one area, such as physical development, can impact other areas, including social and emotional development, due to the developmental continuity observed in children.

Key Points

Physical development lays the foundation for a child’s ability to interact with their environment and peers. For instance, delayed motor skills may hinder participation in social activities, affecting peer relationships and emotional well-being.
Developmental continuity refers to the interconnected nature of growth in children, meaning progress in one area is linked to advancement in others.
When physical development is delayed, it can restrict a child’s opportunities for social interaction and emotional learning, directly impacting their overall development.
Both the assertion and the reason are true, and the reason provides a logical explanation for the assertion because developmental continuity explains why delays in physical growth affect other domains.

Hint

If the assertion is true but the reason does not logically explain it, the connection between physical and emotional/social development would not be based on developmental continuity.
A false assertion would disregard the evidence showing how physical delays impact other developmental areas. Similarly, a false reason would ignore the interconnected nature of child development.
Both the assertion and the reason being false would contradict established principles of developmental psychology, which emphasize continuity and interdependence across domains.

Hence, the correct answer is 'Both (A) and (R) are true and (R) is the correct explanation of (A)'.

According to Jean Piaget, cognitive development:

((a))
is simple addition of new facts and ideas to the existing store of information.
((b))
is dependent upon the development of language capabilities.
((c))
is the process of acquiring the ability to use cultural tools.
((d))
is the process of adaption to the environment by changing one's schemas.

Show Answer

Answer: ((d))

is the process of adaption to the environment by changing one's schemas.

Cognitive Development refers to the mental processes involved in gaining knowledge and comprehension, including thinking, problem-solving, memory, and language. Jean Piaget, a renowned developmental psychologist, proposed a theory explaining how children actively construct their understanding of the world through interactions and adaptations to their environment.

Key Points

Piaget emphasized that cognitive development occurs through the processes of assimilation and accommodation, which together lead to adaptation.
Adaptation is the ability to adjust one's mental schemas (organized patterns of thought) based on new experiences and environmental demands.
Assimilation involves integrating new information into existing schemas, while accommodation requires modifying existing schemas to incorporate new information.
By continuously adapting, children develop increasingly complex mental structures that enable them to understand and navigate their environment effectively.

Hint

The statement "cognitive development is simple addition of new facts and ideas to the existing store of information" oversimplifies Piaget's concept. Cognitive development involves active mental processes rather than mere accumulation of knowledge.
"Cognitive development is dependent upon the development of language capabilities" is inaccurate, as Piaget argued that cognitive development precedes language development, not the other way around.
The idea that "cognitive development is the process of acquiring the ability to use cultural tools" aligns more with Vygotsky's sociocultural theory rather than Piaget’s model, which focuses on individual adaptation and schemas.

Hence, the correct answer is 'is the process of adaptation to the environment by changing one's schemas'.

Assertion (A): Teachers should avoid collaborations, group work and interactions among students.
Reason (R): Learning is a passive process and occurs most effectively through memorization and imitation.
Choose the correct option:

((a))
Both (A) and (R) are true and (R) is the correct explanation of (A).
((b))
Both (A) and (R) are true but (R) is not the correct explanation of (A).
((c))
(A) is true but (R) is false.
((d))
Both (A) and (R) are false.

Show Answer

Answer: ((d))

Both (A) and (R) are false.

Collaborative and active learning are essential components of modern educational practices. These approaches emphasize interaction, teamwork, and critical thinking, fostering a deeper understanding of concepts. Contrary to traditional views of rote memorization, contemporary education values active participation and meaningful engagement to enhance learning outcomes.

Key Points

The assertion that teachers should avoid collaborations, group work, and interactions among students contradicts the principles of modern pedagogy, which highlights the importance of social interaction for cognitive development.
The reasoning that learning is a passive process and occurs most effectively through memorization and imitation is outdated and refuted by research emphasizing active and experiential learning.
Collaborative learning encourages the exchange of ideas, critical thinking, and problem-solving, which are essential for comprehensive understanding and skill development.
Modern educational theories, such as constructivism, assert that learning is an active process where students construct knowledge through interactions with their environment and peers.

Hint

Both the assertion and reason are false because they do not align with evidence-based educational practices.
The assertion is incorrect as collaboration and group work are proven strategies for enhancing learning outcomes.
The reason is invalid as it incorrectly assumes that learning is passive, ignoring the active role of students in constructing knowledge through engagement and exploration.
Other options are irrelevant because they do not accurately capture the essence of modern educational practices.

Hence, the correct answer is 'both (A) and (R) are false'.

Rapid increase in height and weight during adolescence that usually precedes sexual maturity is referred to as:

((a))
Growth spurt
((b))
Developmental trend
((c))
Menstruation
((d))
Pubescence

Show Answer

Answer: ((a))

Growth spurt

Adolescence is a critical developmental stage characterized by significant physical, emotional, and cognitive changes. One key hallmark of this phase is the rapid transformation in the body that prepares individuals for adulthood, including sexual maturity. Understanding the patterns of growth and development during adolescence is essential for educators, healthcare providers, and caregivers to support young individuals effectively.

Key Points

The term "growth spurt" specifically refers to the rapid increase in height and weight that occurs during adolescence. This phase is marked by accelerated bone growth, muscle development, and overall physical changes, which typically precede the attainment of sexual maturity.
This phenomenon is driven by hormonal changes, such as increased secretion of growth hormones, estrogen, and testosterone, which stimulate the body to grow rapidly in a relatively short period of time.
For most individuals, the growth spurt occurs earlier in females (around ages 10–14) than in males (around ages 12–16), although the timing and intensity can vary widely depending on genetic and environmental factors.
The growth spurt is a key indicator that the body is transitioning from childhood to adulthood, making it an important concept in understanding adolescent development.

Hint

Developmental trend refers to the general patterns of growth and development over time but does not specifically address the rapid physical changes during adolescence.
Menstruation is a biological process occurring in females and is a part of sexual maturity, but it does not define the overall physical growth observed during adolescence.
Pubescence refers to the period during which a child develops secondary sexual characteristics, but it is a broader term and does not solely emphasize the rapid growth in height and weight.

Hence, the correct answer is 'growth spurt'.

Assertion (A): When talking about differences, expressions that put the person ahead of the difference should be used such as using 'the student with disabilities' rather than 'the disabled studenť.

Reason (R): The language we use when talking about learners with differing needs shapes the perspective and attitudes.

Choose the correct option:

((a))
Both (A) and (R) are true and (R) is the correct explanation of (A).
((b))
Both (A) and (R) are true but (R) is not the correct explanation of (A).
((c))
(A) is true but (R) is false.
((d))
Both (A) and (R) are false.

Show Answer

Answer: ((a))

Both (A) and (R) are true and (R) is the correct explanation of (A).

Introduction: Language plays a crucial role in shaping perceptions and attitudes, especially when discussing individuals with differing needs. Using people-first language emphasizes the person rather than their condition or difference, fostering respect and inclusivity. For instance, phrases like "the student with disabilities" highlight the individuality of the person rather than defining them by their challenges.

Key Points

Assertion (A) emphasizes the importance of using expressions that prioritize the person over their difference, such as "the student with disabilities" rather than "the disabled student."
Reason (R) highlights how the language we use shapes attitudes, perspectives, and societal norms, influencing how learners with differing needs are perceived and treated.
Both (A) and (R) are true, and (R) provides the correct explanation for (A). The reason explains why people-first language is essential, as it promotes dignity, respect, and positive attitudes towards individuals with differing needs.
This approach aligns with inclusive education practices, aiming to create environments where all learners feel valued and respected.

Hint

Option 2 is incorrect because although both statements are true, the reason directly explains the assertion, making them interconnected.
Option 3 is incorrect because the reason is not false; it correctly explains the importance of language in shaping perceptions and attitudes.
Option 4 is incorrect because both the assertion and the reason are valid statements supported by inclusive practices and research.

Hence, the correct answer is 'Both (A) and (R) are true and (R) is the correct explanation of (A)'.

Assertion (A): Children in middle schools should be encouraged to write about their emotions on a daily/weekly basis and reflect upon them.
Reason (R): Understanding one's emotions is a cognitive process that can lead to action.
Choose the correct option:

((a))
Both (A) and (R) are true and (R) is the correct explanation of (A).
((b))
Both (A) and (R) are true but (R) is not the correct explanation of (A).
((c))
(A) is true but (R) is false.
((d))
Both (A) and (R) are false.

Show Answer

Answer: ((a))

Both (A) and (R) are true and (R) is the correct explanation of (A).

Understanding Emotions and Reflection in Middle School is an essential part of personal development. Encouraging middle school children to write about their emotions on a daily or weekly basis fosters emotional awareness and self-reflection. This practice helps them process their feelings, develop emotional intelligence, and make informed decisions based on their understanding of themselves.

Key Points

The assertion states that middle school children should be encouraged to write about their emotions regularly. This is crucial because adolescence is a time of emotional growth, and structured reflection can aid in managing emotions effectively.
The reason highlights that understanding emotions is a cognitive process leading to action. Emotional awareness connects thoughts to actions, helping children make thoughtful decisions and respond to situations constructively.
Both the assertion and the reason are true, and the reason supports the assertion by explaining the cognitive link between emotional understanding and behavior.
Encouraging children to reflect on their emotions promotes self-awareness, emotional regulation, and growth, which are essential for mental well-being and social interactions.

Hint

If both the assertion and the reason were false, it would imply that emotional reflection is unnecessary and unrelated to cognitive processes, which is incorrect based on psychological research.
If the reason was false while the assertion was true, it would undermine the connection between emotional understanding and action, which contradicts the role of cognition in emotional processing.
If both were true but unrelated, it would ignore the explanatory relationship, which is evident in how reflection fosters emotional growth and decision-making.

Hence, the correct answer is 'Both (A) and (R) are true and (R) is the correct explanation of (A)'.

Which of the following is not an effective strategy in problem-solving?

((a))
Recognizing patterns and relationships
((b))
Using logical reasoning to solve problems
((c))
Overlooking relevant information
((d))
Breaking down complex problems into simpler parts

Show Answer

Answer: ((c))

Overlooking relevant information

Problem-solving strategies are essential cognitive tools that individuals use to identify solutions to challenges or obstacles. Effective problem-solving involves a systematic approach that utilizes logic, reasoning, and structured techniques to arrive at an optimal solution. Understanding which strategies are effective and which are not is critical for achieving desired outcomes.

Key Points

Overlooking relevant information is an ineffective strategy in problem-solving. Ignoring important details can lead to incorrect conclusions or incomplete solutions because decisions are based on incomplete data or assumptions.
Effective problem-solving requires carefully analyzing all available information to avoid errors and ensure well-informed decisions. Neglecting relevant details undermines this process.

Hint

Recognizing patterns and relationships is a powerful strategy because it helps simplify complex problems by identifying recurring elements that can guide solutions.
Using logical reasoning ensures a structured and rational approach to addressing problems, minimizing the risk of errors or emotional bias.
Breaking down complex problems into simpler parts makes large challenges more manageable by addressing smaller, interconnected components step-by-step.

Hence, the correct answer is 'overlooking relevant information'.

According to Piaget when children reach the point of being able to generalize and engage in mental trial and error by thinking up hypothesis and testing them in their heads they are in:

((a))
Sensorimotor stage
((b))
Pre-operational stage
((c))
Concrete operational stage
((d))
Formal operational stage

Show Answer

Answer: ((d))

Formal operational stage

Piaget's theory of cognitive development is a comprehensive framework that explains how children acquire, construct, and organize knowledge throughout their development. According to Piaget, cognitive development occurs in four stages, each characterized by distinctive ways of thinking and understanding the world. These stages are: sensorimotor, pre-operational, concrete operational, and formal operational. Each stage builds on the previous one, with the formal operational stage marking the pinnacle of abstract reasoning and problem-solving abilities.

Key Points

The formal operational stage, which begins around 11 years of age, is when children develop the ability to think abstractly and systematically. They can engage in mental trial-and-error, form hypotheses, and test them without needing to rely on physical objects or direct experiences.
This stage also enables children to apply logical reasoning to abstract concepts, such as algebraic problems or philosophical ideas, and to think about hypothetical or future scenarios.
In the context of the question, the ability to generalize, think hypothetically, and test hypotheses mentally is a hallmark of the formal operational stage, indicating that the child has reached this advanced cognitive level.

Hint

The sensorimotor stage (birth to 2 years) involves learning through sensory experiences and motor activities. At this stage, children focus on understanding the world through immediate interactions rather than abstract reasoning.
The pre-operational stage (2 to 7 years) is characterized by symbolic thinking and imagination, but children lack the ability to perform logical operations or understand conservation principles.
The concrete operational stage (7 to 11 years) involves logical reasoning about concrete objects and events. However, abstract thinking and hypothesis testing are not yet developed at this stage.

Hence, the correct answer is 'formal operational stage'.

Students learn efficiently and in meaningful ways when:

((a))
content is presented to them in the form of incoherent pieces of information.
((b))
focus is on avoiding failure instead of approaching mastery.
((c))
new concept is completely different from previously learned material.
((d))
their responses and subjective experiences are attended and valued.

Show Answer

Answer: ((d))

their responses and subjective experiences are attended and valued.

Efficient and meaningful learning occurs when students engage with content in a way that connects their prior knowledge, emotional responses, and real-world contexts. Effective teaching practices focus on fostering understanding, valuing student experiences, and encouraging mastery instead of merely avoiding mistakes.

Key Points

Students learn better when their responses and subjective experiences are acknowledged and valued, as it creates a supportive learning environment.
This approach encourages active participation, intrinsic motivation, and deeper cognitive processing, as learners feel their contributions matter.
By attending to students’ experiences, teachers can tailor instruction to meet diverse needs, fostering a sense of belonging and engagement in the classroom.
This method aligns with constructivist theories, which emphasize the importance of connecting new knowledge to students’ existing understanding and emotional context.

Hint

Presenting content as incoherent pieces of information (option 1) leads to confusion and prevents learners from forming meaningful connections between ideas.
A focus on avoiding failure (option 2) creates fear and anxiety, which can hinder learning and reduce students’ willingness to take risks and explore concepts deeply.
Introducing a new concept completely different from previously learned material (option 3) makes it challenging for students to integrate knowledge and apply it effectively, as prior knowledge serves as a foundation for learning.
Option 4 emphasizes attending to students’ responses and experiences, which promotes meaningful engagement and facilitates mastery, making it the most effective choice.

Hence, the correct answer is 'their responses and subjective experiences are attended and valued'.

According to Lawrence Kohlberg around which ethics do very young children's moral reasoning revolve ?

((a))
Ethics of egocentricism
((b))
Ethics of care
((c))
Ethics of perspectives of others
((d))
Ethics of laws

Show Answer

Answer: ((a))

Ethics of egocentricism

Lawrence Kohlberg's theory of moral development explains how individuals develop their sense of morality and ethical reasoning over time. He proposed six stages of moral development, grouped into three levels: pre-conventional, conventional, and post-conventional. Very young children typically fall within the pre-conventional level, where their moral reasoning is primarily self-centered and based on immediate consequences.

Key Points

In the pre-conventional stage, very young children make moral decisions based on personal consequences, such as avoiding punishment or gaining rewards.
This self-focused reasoning aligns with the ethics of egocentricism, where the child’s perspective revolves solely around their own needs and desires.
They do not yet consider societal rules, laws, or the perspectives of others, as their cognitive and social development is not mature enough for this level of reasoning.
The emphasis on immediate personal benefit or avoidance of harm is a hallmark of this stage in Kohlberg’s framework.

Hint

Ethics of care emphasizes empathy and nurturing relationships, which align with later stages of moral development, particularly in the conventional or post-conventional levels.
Ethics of perspectives of others involves understanding and considering others’ viewpoints, which emerges in the conventional stage when individuals begin to internalize social norms.
Ethics of laws represents adherence to social rules and legal structures, typically seen in the conventional stage when individuals value law and order.

Hence, the correct answer is 'ethics of egocentricism'.

Assertion (A): Diversity and inclusion improve teaching and learning.

Reason (R): Engaging in conversations across differences hinders children's ability to think critically and creatively.

Choose the correct option:

((a))
Both (A) and (R) are true and (R) is the correct explanation of (A).
((b))
Both (A) and (R) are true but (R) is not the correct explanation of (A).
((c))
(A) is true but (R) is false.
((d))
Both (A) and (R) are false.

Show Answer

Answer: ((c))

(A) is true but (R) is false.

Diversity and inclusion in education refer to creating an environment where students from various backgrounds, cultures, and perspectives feel valued and have equitable access to learning opportunities. These principles foster a richer educational experience by exposing students to different viewpoints, enhancing their cognitive and social skills.

Key Points

Diversity and inclusion encourage critical thinking and creativity by exposing students to multiple perspectives, fostering empathy, and enabling them to solve problems collaboratively.
Engaging in conversations across differences helps students build communication skills and develop a deeper understanding of complex issues, rather than hindering their cognitive abilities.
The assertion correctly highlights that diversity and inclusion improve teaching and learning, as they create an engaging and enriching educational environment.
The reason, however, is false because engaging in conversations across differences does not hinder but rather enhances students' critical and creative thinking.

Hint

The assertion is true as diversity and inclusion allow students to benefit from a variety of perspectives, fostering academic and social growth.
The reason is false because engaging in diverse conversations promotes critical thinking and creativity by challenging assumptions and encouraging problem-solving from different angles.
If both the assertion and reason were true, they would need to be logically connected, which is not the case here.
If both were false, it would contradict the well-established benefits of diversity and inclusion in education.

Hence, the correct answer is '(A) is true but (R) is false'.

Which of the following are effective teaching strategies to cater to diverse needs of learners in a classroom?

(a) Differentiated Instruction

(b) Standardized Curriculum

((a))
(a), (b)
((b))
(b), (c)
((c))
(a), (c)
((d))
(a), (b), (c)

Show Answer

Answer: ((c))

(a), (c)

Catering to diverse needs of learners in a classroom is essential for creating an inclusive and effective learning environment. Students come with varied backgrounds, abilities, and learning styles, and addressing these differences ensures equitable access to education and promotes individual growth.

Key Points

Differentiated Instruction involves tailoring teaching methods, materials, and assessments to address individual learner needs. This strategy ensures that students with varying learning styles and abilities can engage meaningfully with the curriculum.
Individualized Education Plans (IEPs) are specific, customized plans designed for students with unique needs, often used for learners with disabilities. These plans outline personalized goals and accommodations, fostering their educational progress.
Both approaches aim to provide targeted support, ensuring all learners can achieve academic and developmental success.

Hint

Standardized Curriculum refers to a uniform framework of education that is applied to all students, regardless of their individual needs. While it ensures consistency, it does not cater to the diverse needs of learners effectively.
Using only standardized approaches can overlook the unique learning preferences and challenges of students, limiting their potential for success.

Hence, the correct answer is '(a), (c)'.

According to constructivist theorists:

((a))
Children have a natural tendency to 'make sense' of the world.
((b))
Children learn only when extrinsically motivated.
((c))
Children learn best when information is presented to them in a final form.
((d))
Children have a tendency to behave in unruly ways that needs to be corrected.

Show Answer

Answer: ((a))

Children have a natural tendency to 'make sense' of the world.

Constructivist theory emphasizes that learning is an active, contextual process where learners construct knowledge based on their experiences and interactions with the environment. This approach recognizes that children are not passive recipients of information but active participants in their learning journey.

Key Points

Children naturally seek to make sense of the world around them through exploration, questioning, and reflection. Constructivist theorists like Piaget and Vygotsky emphasize this intrinsic drive.
Such tendencies lead children to actively engage with their surroundings, forming mental models and refining their understanding over time through trial, feedback, and adaptation.
This approach to learning underscores the importance of providing opportunities for hands-on activities, discussions, and meaningful interactions that allow children to construct their own understanding.
Ultimately, constructivist theory shifts the role of the teacher from a knowledge transmitter to a facilitator who supports and scaffolds the child's learning process.

Hint

Learning only through extrinsic motivation (Option 2) is contrary to constructivist beliefs, which prioritize intrinsic curiosity and engagement as key drivers of learning.
Presenting information in a final form (Option 3) undermines the active, inquiry-driven process of knowledge construction that constructivism advocates.
Viewing children as unruly and in need of correction (Option 4) reflects a behaviorist perspective rather than the constructivist view, which sees children as naturally curious and capable of self-directed learning.

Hence, the correct answer is 'children have a natural tendency to make sense of the world'.

Two commonly used strategies for effective problem-solving are:

((a))
Heuristics and algorithms
((b))
Heuristics and functional fixedness
((c))
Algorithms and response set
((d))
Heur Heuristics Heuristics and response set

Show Answer

Answer: ((a))

Heuristics and algorithms

Problem-solving is a cognitive process aimed at overcoming obstacles to achieve a specific goal. Effective problem-solving often involves systematic approaches that facilitate finding solutions. Two commonly used strategies in this process are heuristics and algorithms, which play distinct but complementary roles in navigating challenges.

Key Points

Heuristics are mental shortcuts or rules of thumb that simplify decision-making and problem-solving. They are efficient, especially in complex or ambiguous situations, but may not always guarantee accuracy.
Algorithms are step-by-step procedures or formulas that guarantee a solution when followed correctly. They are systematic and reliable but can be time-consuming and rigid.
Together, heuristics and algorithms balance efficiency with reliability, making them essential strategies for tackling both routine and novel problems effectively.

Hint

Functional fixedness refers to the cognitive bias that limits a person to using objects only in the way they are traditionally used. While this concept is relevant to problem-solving, it is not a strategy but rather a barrier to creativity.
Response set is the tendency to respond in a habitual way, which can hinder flexibility in problem-solving. Like functional fixedness, it is an obstacle rather than a strategy.
The options involving response set or functional fixedness do not align with the question's focus on strategies for effective problem-solving, as these are more about limitations than solutions.

Hence, the correct answer is 'heuristics and algorithms'.

A teacher is designing a lesson plan for a group of students with varying levels of understanding of a topic. According to Vygotsky's theory, which of the following should the teacher consider when designing the lesson ?

((a))
The teacher should ask each student to work individually on the specified problem.
((b))
The teacher should provide all students with the same level of challenge.
((c))
The teacher should consider each student's current level of understanding and provide appropriate support to help them to reach the next level.
((d))
The teacher should only focus on the students who are already at an advanced level of understanding and provide them with more challenging work.

Show Answer

Answer: ((c))

The teacher should consider each student's current level of understanding and provide appropriate support to help them to reach the next level.

Introduction
Lev Vygotsky’s theory of cognitive development emphasizes the importance of social interaction, cultural tools, and scaffolding in learning. One key concept in his theory is the "Zone of Proximal Development" (ZPD), which defines the range of tasks that a learner can perform with guidance but cannot yet accomplish independently. Teachers play a crucial role in providing appropriate support to guide students through this zone, fostering skill development and deeper understanding.

Key Points

Vygotsky’s theory encourages teachers to assess each student’s current level of understanding and offer tailored support to facilitate progress.
Scaffolding involves providing temporary assistance, such as hints, prompts, or resources, to help students complete tasks they could not manage alone.
By addressing the ZPD, teachers create opportunities for collaborative learning and individual growth, ensuring that students are challenged appropriately.

Explanation of Correct Option

According to Vygotsky’s theory, the teacher should identify each student’s current level of understanding and provide the necessary scaffolding to help them progress within their ZPD. This approach ensures that learning experiences are individualized and appropriately challenging.
In the context of the question, designing a lesson plan that considers varying levels of understanding allows students to build knowledge effectively, fostering both confidence and competence.
By tailoring instruction to student needs, the teacher promotes meaningful learning rather than rote memorization or frustration from tasks that are too difficult or too simple.

Explanation of Remaining Options

Asking students to work individually on the specified problem ignores the importance of social interaction and collaboration, which are critical components of Vygotsky’s theory.
Providing all students with the same level of challenge overlooks the varying levels of understanding and fails to address individual needs, leading to ineffective learning outcomes.
Focusing only on advanced students excludes others from the learning process and contradicts Vygotsky’s emphasis on assisting all learners within their ZPD.

Hence, the correct answer is 'the teacher should consider each student's current level of understanding and provide appropriate support to help them to reach the next level'.

Characteristics such as 'lacking reading fluency', 'reversion of words', 'tendency towards distraction' are typical identifying characteristics of:

((a))
Dyslexia
((b))
Autism Spectrum Disorder
((c))
Dementia
((d))
Attention Deficit Hyperactivity Disorder

Show Answer

Answer: ((a))

Dyslexia

Dyslexia is a learning disorder characterized by difficulties in reading, writing, and spelling, despite normal intelligence and adequate educational opportunities. It affects the ability to decode words, recognize written language, and process phonological information, often interfering with academic and daily activities.

Key Points

Characteristics like lacking reading fluency, reversion of words, and a tendency towards distraction are hallmark signs of dyslexia. These symptoms arise from impaired phonological processing and difficulties in connecting letters to sounds.
Individuals with dyslexia often struggle with reading comprehension and may read slower than peers, making it harder to grasp textual information.
The condition may also involve problems with sequencing, spelling, and organizing thoughts, further impacting academic performance.
Early identification and targeted interventions, such as phonics-based instruction, can help mitigate these challenges and support learning.

Hint

Autism Spectrum Disorder: This condition primarily affects social communication and interaction, along with repetitive behaviors. While some individuals may have learning difficulties, dyslexia-specific traits like reversion of words are not typical.
Dementia: Dementia is a progressive cognitive decline that affects memory, reasoning, and language. Unlike dyslexia, it is associated with aging and not developmental learning challenges.
Attention Deficit Hyperactivity Disorder: ADHD is characterized by inattention, hyperactivity, and impulsivity. While a tendency towards distraction overlaps with dyslexia, ADHD does not inherently involve difficulties with reading fluency or word reversal.

Hence, the correct answer is 'Dyslexia'.

Students feel more motivated to learn in an environment which ensures:

(a) Belongingness

(b) Fear

(d) Safety

((a))
(a), (b)
((b))
(a), (d)
((c))
(b), (c)
((d))
(b), (d)

Show Answer

Answer: ((b))

(a), (d)

Motivation in Learning is a key determinant of students' engagement and success. A positive and supportive learning environment fosters motivation, helping students feel secure, valued, and encouraged to actively participate in the learning process. Such environments enhance their ability to focus, retain knowledge, and achieve their educational goals.

Key Points

A sense of belongingness is crucial for students to feel accepted and valued within their learning environment. When students experience inclusion, they are more likely to engage actively and develop a positive attitude toward learning.
Safety ensures students feel secure both physically and emotionally, allowing them to focus on learning without fear or anxiety. A safe environment fosters trust and encourages creativity and curiosity.

Hint

Fear is counterproductive as it creates stress and hinders learning. Students who fear failure or punishment are less likely to take risks or explore new ideas.
Rejection alienates students, making them feel excluded and undervalued. This diminishes their motivation and may lead to disengagement from the learning process.

Hence, the correct answer is 'belongingness and safety'.

Moving from conservative education towards progressive education requires shift fron

((a))
formative evaluation to diagnostic evaluation
((b))
Integrated curriculum to standardized curriculum
((c))
performance-oriented goals to mastery-oriented ery-oriente goals
((d))
teacher-centered pedagogy to exam-centered pedagogy

Show Answer

Answer: ((c))

performance-oriented goals to mastery-oriented ery-oriente goals

Progressive Education represents a shift from traditional teaching methods to approaches that prioritize holistic learning, critical thinking, and the development of lifelong skills. Unlike conservative education, which often emphasizes rote memorization and standardized testing, progressive education focuses on fostering creativity, collaboration, and mastery of concepts.

Key Points

Moving towards progressive education requires prioritizing mastery-oriented goals, which emphasize deep understanding and skill development over superficial performance metrics.
This shift supports students in becoming independent thinkers and problem-solvers, rather than merely meeting predefined benchmarks for grades or exams.
Mastery-oriented goals align with the core philosophy of progressive education, which focuses on meaningful, student-centered learning experiences.
By fostering mastery, students are encouraged to internalize knowledge and apply it in real-world contexts, preparing them for future academic and professional challenges.

Hint

Formative and diagnostic evaluations serve different purposes. While formative evaluation is ongoing and used to monitor progress, diagnostic evaluation assesses prior knowledge or learning gaps. Neither directly addresses mastery-oriented goals.
An integrated curriculum, rather than a standardized one, aligns better with progressive education principles as it allows for interdisciplinary connections and holistic learning.
Teacher-centered pedagogy and exam-centered pedagogy both reflect traditional education methods. Progressive education focuses on learner-centered approaches that encourage active participation.

Hence, the correct answer is 'performance-oriented goals to mastery-oriented goals'.

When learning new information, which of the following is a helpful strategy for children to use to ensure they understand the content
material?
(a) Rereading the information once
(b) Asking questions and seeking clarification
(c) Pretending to understand
(d)Making up their own meanings for unfamiliar terms

((a))
(a), (b)
((b))
(a), (c)
((c))
(c), (d)
((d))
(a), (b), (c)

Show Answer

Answer: ((a))

(a), (b)

Understanding strategies for effective learning is crucial for children as it helps them process and internalize new information more effectively. These strategies enable them to engage actively with the content, ensuring deeper comprehension and retention.

Key Points

Asking questions and seeking clarification is essential for understanding because it allows children to address gaps in their knowledge and resolve uncertainties.
This strategy fosters active engagement with the material, encourages critical thinking, and helps the learner connect new concepts to prior knowledge.
By seeking clarification, children can ensure they comprehend the meaning and application of key terms, concepts, or instructions, which is vital for long-term learning success.
Ultimately, such an approach promotes a growth mindset where children view challenges as opportunities to learn rather than obstacles.

Hint

Rereading information once is not always effective as it often leads to passive learning without ensuring comprehension or retention.
Pretending to understand does not address the knowledge gap and can lead to cumulative misunderstandings over time.
Making up their own meanings for unfamiliar terms can result in misinterpretation of the content, leading to confusion and inaccurate learning.

Hence, the correct answer is 'asking questions and seeking clarification'.

A teacher should create a classroom culture where students' motivation to learn is primarily focused to:

((a))
Avoid shame of appearing ignorant.
((b))
compete with each other.
((c))
understand and appreciate the process of learning.
((d))
prove their worth to others.

Show Answer

Answer: ((c))

understand and appreciate the process of learning.

Creating a positive classroom culture is essential for fostering an environment where students feel motivated, engaged, and empowered to learn. A teacher's approach to nurturing this culture significantly influences students' attitudes toward learning, their self-esteem, and their overall academic success. It is crucial for educators to focus on instilling intrinsic motivation, where students appreciate the process of learning rather than external rewards or pressures.

Key Points

A classroom culture that prioritizes understanding and appreciating the process of learning encourages intrinsic motivation. This helps students focus on mastering skills and concepts rather than external validation or fear of failure.
When students value the learning journey, they are more likely to develop critical thinking, problem-solving skills, and a lifelong love for learning.
This approach fosters a growth mindset, where students view challenges as opportunities to improve rather than obstacles to success.
By emphasizing the process, teachers help students build resilience and a deeper connection to the subject matter, which significantly enhances their overall academic experience.

Hint

A focus on avoiding shame of appearing ignorant may create a fear-based environment where students hesitate to take risks or ask questions, hindering learning.
Encouraging competition among students can lead to unnecessary stress and a fixed mindset, where the emphasis is on outperforming others rather than personal growth.
Motivating students to prove their worth to others shifts focus away from the learning process and toward external validation, which may undermine intrinsic motivation.

Hence, the correct answer is 'understand and appreciate the process of learning'.

Assertion (A): Male characters in stories and books are often presented as strong and adventurous while female characters are shown as warm and sensitive.
Reason (R): Schools and curriculum influence gender-role identity as they are powerful agents of secondary socialization.
Choose the correct option:

((a))
Both (A) and (R) are true and (R) is the correct explanation of (A).
((b))
Both (A) and (R) are true but (R) is not the correct explanation of (A).
((c))
(A) is true but (R) is false.
((d))
Both (A) and (R) are false.

Show Answer

Answer: ((a))

Both (A) and (R) are true and (R) is the correct explanation of (A).

Gender representation in literature and education plays a significant role in shaping societal expectations and individual perceptions of gender roles. Literature often mirrors cultural norms, portraying male characters as strong and adventurous, while female characters are depicted as warm and sensitive. Schools, through their curriculum and teaching practices, act as agents of secondary socialization, further reinforcing these stereotypes and influencing gender-role identity.

Key Points

The assertion highlights that gender stereotypes are prevalent in stories and books, with male characters often embodying strength and adventure, while female characters reflect warmth and sensitivity.
The reason emphasizes the role of schools and curricula in shaping gender-role identity, as education systems are powerful tools for secondary socialization.
Together, they demonstrate how media and education collectively contribute to reinforcing gender norms, creating a cycle of stereotypical representation and societal expectations.
This connection explains why the assertion and reason are both true and how the reason directly supports the assertion.

Hint

If the assertion is true but the reason is unrelated or false, then the connection between societal stereotypes and education systems would not be valid.
If both the assertion and reason are false, it would imply that gender stereotypes do not exist in literature or education, which contradicts observed societal patterns.
If both are true but the reason does not explain the assertion, it would indicate that while both statements are independently valid, they are not causally linked.

Hence, the correct answer is 'Both (A) and (R) are true and (R) is the correct explanation of (A)'.

Assertion (A): Children who are struggling with dyslexia have trouble in phonological processing that makes it hard to decode words.

Reason (R): All children benefit from being encouraged in their areas of interest and ability.

Choose the correct option:

((a))
Both (A) and (R) are true and (R) is the correct explanation of (A).
((b))
Both (A) and (R) are true but (R) is not the correct explanation of (A).
((c))
(A) is true but (R) is false.
((d))
Both (A) and (R) are false.

Show Answer

Answer: ((b))

Both (A) and (R) are true but (R) is not the correct explanation of (A).

Dyslexia is a learning difficulty that primarily affects the skills involved in accurate and fluent word reading and spelling. It is often characterized by challenges in phonological processing, which is the ability to recognize and manipulate the sounds of language. Supporting children with dyslexia requires understanding their specific needs and encouraging their strengths.

Key Points

The assertion (A) accurately states that children with dyslexia often struggle with phonological processing, making it difficult for them to decode words and read fluently.
The reason (R) discusses the importance of encouraging children in their areas of interest and ability, which is applicable to all children, including those with dyslexia.
While (R) is true, it does not directly explain the challenges described in (A), as phonological processing deficits are specific to dyslexia and not addressed by general encouragement in areas of interest.
Thus, (A) and (R) are both correct, but (R) is not the direct explanation for (A).

Hint

The statement (A) highlights a specific feature of dyslexia, which is supported by scientific evidence and research.
The statement (R) emphasizes a general principle of child development but does not explain the root cause of phonological processing issues in dyslexic children.
Options suggesting that either (A) or (R) is false are incorrect because both statements are factually accurate.
Options indicating that (R) explains (A) are incorrect because the reason does not directly address the neurological basis of dyslexia.

Hence, the correct answer is 'Both (A) and (R) are true but (R) is not the correct explanation of (A)'.

What is the role of peers in the socialization process?

((a))
Peers have no major influence on socialization.
((b))
Peers have a minor influence on socialization compared to parents and other adults in all stages of development.
((c))
Peers are the primary agents of socialization for children.
((d))
Peers have a greater influence on socialization during adolescence than during early childhood.

Show Answer

Answer: ((d))

Peers have a greater influence on socialization during adolescence than during early childhood.

Peers play a significant role in the socialization process, which refers to the way individuals learn and adapt to the norms, values, behaviors, and social skills required to function in society. Socialization is a lifelong process influenced by various factors, including family, culture, education, and peers. Peers, particularly during adolescence, serve as a crucial influence in shaping social interactions, identity formation, and personal development.

Key Points

Peers have a greater influence during adolescence because this is a developmental stage where individuals seek independence from family and begin to form their identity.
Adolescents spend more time with peers, engage in shared activities, and rely on them for social support, which significantly impacts their behavior and decision-making.
Peer relationships provide a platform for learning important social skills such as cooperation, conflict resolution, and empathy, which are crucial for adult life.
While early childhood socialization is primarily influenced by family, peers become increasingly influential in adolescence, shaping attitudes, preferences, and interpersonal dynamics.

Hint

Option 1: Peers have no major influence on socialization — This statement is incorrect because peers play a critical role, particularly during adolescence, in shaping behaviors, attitudes, and identity.
Option 2: Peers have a minor influence compared to parents and other adults in all stages of development — While parents and adults are dominant influences in early childhood, peer influence grows stronger during adolescence, making this statement inaccurate.
Option 3: Peers are the primary agents of socialization for children — This is incorrect because family and educators are more influential during early childhood, with peers becoming more significant in later stages like adolescence.

Hence, the correct answer is 'Peers have a greater influence on socialization during adolescence than during early childhood'.

Which of the following statements about learning is not correct?

((a))
Learners construct knowledge that makes sense to them.
((b))
New learning depends on current understanding.
((c))
Social interaction hinders learning.
((d))
The most meaningful learning occurs within real-world tasks.

Show Answer

Answer: ((c))

Social interaction hinders learning.

Learning is a dynamic process where individuals acquire knowledge, skills, attitudes, and values through interaction with their environment, experiences, and social contexts. It involves understanding concepts, applying knowledge, and constructing meaning from experiences.

Key Points

Social interaction plays a crucial role in learning by allowing learners to share ideas, ask questions, and collaborate, which leads to deeper understanding.
The idea that "social interaction hinders learning" is a misconception. In fact, collaboration and discussion are essential for developing critical thinking and problem-solving skills.
Research in educational psychology highlights that learners often construct meaning effectively through dialogue and cooperative activities.
Thus, the statement contradicts established principles of learning, making it incorrect in this context.

Hint

Learners construct knowledge based on their prior experiences and understanding, which makes learning a personal and evolving process.
Learning is interconnected with one's existing knowledge, as new information builds upon what is already understood.
Real-world tasks enhance learning by making it meaningful and relevant, helping learners see the practical application of their knowledge.
These principles align with constructivist theories, emphasizing active engagement and context in the learning process.

Hence, the correct answer is 'social interaction hinders learning'.

As per constructivist approaches of learning, learning is facilitated when :

((a))
Activities are interactive and collaborative.
((b))
Content is disconnected and eccentric,
((c))
Pedagogy is teacher-centric and culturally indifferent.
((d))
Tasks are incoherent and disorderly.

Show Answer

Answer: ((a))

Activities are interactive and collaborative.

Constructivist approaches to learning emphasize that learners actively construct their own understanding and knowledge through experiences and interactions. This perspective highlights the importance of engaging learners in meaningful activities that encourage collaboration, critical thinking, and active participation.

Key Points

Learning is enhanced when activities are interactive and collaborative, as they foster communication, teamwork, and shared problem-solving. This aligns with the constructivist belief that knowledge is co-constructed through social interactions and experiences.
Such activities encourage learners to connect prior knowledge with new information, promoting deeper understanding and meaningful learning.
Interactive and collaborative tasks also allow learners to engage with diverse perspectives, which enhances critical thinking and develops interpersonal skills essential for real-world applications.
Ultimately, these approaches create an environment where learners actively participate in constructing their knowledge instead of passively receiving information.

Hint

Content that is disconnected and eccentric does not promote meaningful connections between ideas, making it difficult for learners to understand and apply knowledge.
Teacher-centric and culturally indifferent pedagogy goes against constructivist principles by focusing on rote learning and ignoring the diverse cultural backgrounds and experiences of learners.
Tasks that are incoherent and disorderly fail to provide clear objectives or meaningful structure, leading to confusion and hindering effective learning.

Hence, the correct answer is 'activities are interactive and collaborative'.

Assertion (A): Though height and body build are primarily inherited characteristics, good nutrition and exercise also make a difference.
Reason (R): Heredity and environment interact in their effects on development.
Choose the correct option:

((a))
Both (A) and (R) are true and (R) is the correct explanation of (A).
((b))
Both (A) and (R) are true but (R) is not the correct explanation of (A).
((c))
(A) is true but (R) is false.
((d))
Both (A) and (R) are false.

Show Answer

Answer: ((a))

Both (A) and (R) are true and (R) is the correct explanation of (A).

Heredity and environment are key factors influencing human development. While heredity determines genetic traits like height and body build, environmental factors such as nutrition and exercise also play a crucial role in shaping these inherited characteristics. Understanding their interaction helps explain variations in physical and developmental outcomes.

Key Points

Assertion (A): Though height and body build are primarily inherited characteristics, good nutrition and exercise also make a difference. This statement highlights the role of environmental factors in modifying or enhancing genetic predispositions.
Reason (R): Heredity and environment interact in their effects on development. This explains how genetic traits and environmental influences work together to shape an individual's overall growth.
The interaction between heredity and environment ensures that while genetic factors provide a foundation, environmental inputs like diet and physical activity can influence and optimize development.
Since (R) directly explains why good nutrition and exercise can affect inherited traits, the two statements align perfectly, making (R) the correct explanation for (A).

Hint

Option 2: While both (A) and (R) are true, claiming that (R) does not explain (A) overlooks the clear connection between heredity-environment interaction and the impact of nutrition and exercise.
Option 3: If (R) is considered false, it contradicts established scientific evidence that heredity and environment interact to influence development.
Option 4: Both statements are scientifically accurate, so considering them false would be incorrect.

Hence, the correct answer is 'Both (A) and (R) are true and (R) is the correct explanation of (A)'.

In an inclusive classroom, adaptations should be made in :

(a) Learning goals

(b) Teaching-learning strategies

(d) Assessment

((a))
(a), (b), (d)
((b))
(a), (c), (d)
((c))
(b), (c), (d)
((d))
(a), (b), (c), (d)

Show Answer

Answer: ((d))

(a), (b), (c), (d)

Inclusive classrooms aim to cater to the diverse needs of all learners, including those with disabilities, varying abilities, and backgrounds. The principle of inclusion ensures every student has equitable access to learning opportunities by adapting goals, strategies, support, and assessments to meet individual needs.

Key Points

Learning goals: Adaptations to learning goals allow for personalized objectives that align with students' capabilities, ensuring meaningful learning experiences for all.
Teaching-learning strategies: Inclusive teaching strategies involve differentiated instruction, use of assistive technology, and multisensory methods to engage diverse learners effectively.
Provisioning of support: Providing adequate support systems, such as peer assistance, special educators, or resources, ensures that every learner can overcome barriers to success.
Assessment: Adapted assessments focus on a student's progress and strengths, using flexible methods like oral tests, project-based evaluations, or modified grading systems.

Hint

If only learning goals are adapted, the teaching process may still fail to address individual needs.
Focusing solely on support or assessment ignores the importance of integrating strategies and goals for holistic inclusion.
Excluding any of the elements (goals, strategies, support, or assessment) compromises the effectiveness of inclusive education.

Hence, the correct answer is 'learning goals, teaching-learning strategies, provisioning of support, and assessment'.

Which of the following does not come under the category of sensory impairments ?

((a))
Colour blindness
((b))
dysgraphia
((c))
hard of hearing
((d))
partial loss of vision

Show Answer

Answer: ((b))

dysgraphia

Sensory impairments refer to conditions where one or more of the senses—such as vision, hearing, or color perception—are partially or completely affected. These impairments can significantly impact an individual's ability to perceive and interact with their environment, necessitating strategies for adaptation and support.

Key Points

Dysgraphia is a neurological condition affecting fine motor skills and handwriting. It impacts cognitive processes related to written expression rather than sensory perception, which is why it does not fall under sensory impairments.
Sensory impairments focus on deficiencies in the senses, such as vision, hearing, or touch, rather than cognitive or motor skills.
Dysgraphia primarily involves the brain's ability to process and produce written language, making it distinct from conditions affecting sensory input or output.

Hint

Color blindness affects the ability to distinguish between certain colors, making it a sensory impairment related to vision.
Hard of hearing refers to partial hearing loss, which is a sensory impairment involving auditory perception.
Partial loss of vision is a sensory impairment that impacts the ability to see clearly and accurately.

Hence, the correct answer is 'dysgraphia'.

National Education Policy (NEP) 2020 emphasizes on transforming assessment by:

((a))
devaluing socio-cultural context of students
((b))
executing summative form of assessment
((c))
incorporating self-assessment and peer-assessment
((d))
practicing unitary notion of intelligence

Show Answer

Answer: ((c))

incorporating self-assessment and peer-assessment

National Education Policy (NEP) 2020 emphasizes a transformative approach to education in India, including rethinking traditional assessment methods. The policy aims to make assessments more holistic, multidimensional, and learner-centric by focusing on skills, competencies, and real-world applications, rather than rote memorization.

Key Points

The NEP 2020 promotes self-assessment and peer-assessment as essential components of its reformative framework. These methods encourage students to reflect on their learning, identify strengths and areas for improvement, and develop critical thinking and collaboration skills.
Such practices align with the NEP's focus on holistic development, moving beyond traditional marks-based systems to foster creativity, problem-solving, and emotional intelligence.
By incorporating these assessment techniques, the policy ensures that students become active participants in their educational journey, fostering a deeper understanding of their progress and areas of growth.

Hint

Devaluing the socio-cultural context of students contradicts the NEP's inclusivity goals. The policy emphasizes respecting diversity and accommodating varied backgrounds in learning and assessment.
Summative assessments, while still relevant, are not the central focus of NEP 2020. Instead, the policy highlights formative and competency-based assessments for continuous learning.
The idea of a unitary notion of intelligence is outdated and inconsistent with the NEP's vision. The policy recognizes multiple intelligences and diverse talents, aiming to provide flexible and personalized learning experiences.

Hence, the correct answer is 'incorporating self-assessment and peer-assessment'.

Following Lev Vygotsky's ideas, a teacher decided to give hints and cues to the students who were stuck on a given problem and let the students try to solve that problem again. By doing so, teacher is practicing the concept of ________.

((a))
Assimilation
((b))
Collective monologue
((c))
Functional Fixedness
((d))
Scaffolding

Show Answer

Answer: ((d))

Scaffolding

Lev Vygotsky's theory of cognitive development emphasizes the social context of learning and the importance of guidance from more knowledgeable individuals, such as teachers or peers. A key concept in his framework is the Zone of Proximal Development (ZPD), which refers to the range of tasks a learner can perform with assistance but not yet independently. To support learning within the ZPD, strategies like scaffolding are employed.

Key Points

Scaffolding refers to the process of providing temporary support to learners as they develop new skills or knowledge.
The teacher in the question uses hints and cues to assist students stuck on a problem, ensuring they continue learning without direct intervention.
This approach aligns with Vygotsky's idea of scaffolding, where guidance is gradually withdrawn as learners gain independence and mastery over the task.
By practicing scaffolding, the teacher helps students operate within their Zone of Proximal Development, enabling them to achieve more than they could on their own.

Hint

Assimilation: Refers to the process of integrating new information into existing cognitive schemas. This concept is more closely associated with Piaget's theory rather than Vygotsky's.
Collective monologue: Occurs when children talk to themselves or others without directly interacting or responding to others' speech. This does not align with the teacher's interactive and supportive approach.
Functional fixedness: A cognitive bias that limits a person's ability to use objects or concepts in novel ways. This concept is unrelated to the teacher's strategy of using hints and cues.

Hence, the correct answer is 'Scaffolding'.

Mathematics and Science (60 questions)

The product of two rational numbers is $-\frac{40}{3}.$ If one of them is $-\frac{5}{2}$ , and the reciprocal of the other is x, then what is the value of $(8x + 2\frac{1}{4})$ ?

((a))
$4\frac{1}{2}$
((b))
$4\frac{3}{4}$
((c))
$3\frac{1}{2}$
((d))
$3\frac{3}{4}$

Show Answer

Answer: ((d))

$3\frac{3}{4}$

Shortcut Trick

Product = N₁ × N₂ ⇒ −40/3 = (−5/2) × N₂

Other number (N₂) = (−40/3) × (−2/5) = 80/15 = 16/3

Value of x (reciprocal of N₂) = 3/16

Required value = 8 × (3/16) + 2 1/4 = 1.5 + 2.25 = 3.75

∴ The correct answer is 3 3/4.

Alternate Method

Given:

Product of two rational numbers = −40/3

One rational number = −5/2

Reciprocal of the other number = x

Formula Used:

Product = Number₁ × Number₂

Reciprocal of a/b = b/a

Calculations:

⇒ Let the other number be y.

⇒ (−5/2) × y = −40/3

⇒ y = (−40/3) ÷ (−5/2)

⇒ y = (−40/3) × (−2/5)

⇒ y = 80/15 = 16/3

⇒ Since x is the reciprocal of y, x = 1 ÷ (16/3) = 3/16

⇒ Now, substitute x in (8x + 2 1/4):

⇒ 2 1/4 = (2 × 4 + 1) / 4 = 9/4

⇒ Value = 8 × (3/16) + 9/4

⇒ Value = 3/2 + 9/4

⇒ Value = 1.5 + 2.25 = 3.75

⇒ 3.75 = 15/4 = 3 3/4

∴ The correct answer is 3 3/4.

Additional Information

Reciprocal Property

For any non-zero rational number a/b, its reciprocal is b/a such that (a/b) × (b/a) = 1.

Mixed Fraction Conversion

To convert a mixed fraction A b/c to an improper fraction, use the formula (A × c + b) ÷ c.

Rational Multiplication and Division

Division of fractions is equivalent to multiplying the first fraction by the reciprocal of the second: (a/b) ÷ (c/d) = (a/b) × (d/c).

One of the factors of $4x ^ 2 + 9y ^ 2 + 12xy - 5(2x + 3y) - 14$ is a

((a))
$2x + 3y + 14$
((b))
$2x + 3y - 2$
((c))
$2x + 3y - 7$
((d))
$2x + 3y + 7$

Show Answer

Answer: ((c))

$2x + 3y - 7$

Shortcut Trick

Observe that 4x² + 9y² + 12xy = (2x + 3y)².

Substitute u = 2x + 3y, simplifying the expression to u² − 5u − 14.

Factorize the quadratic u² − 5u − 14 as (u − 7)(u + 2).

Substitute back u = 2x + 3y to get the factors (2x + 3y − 7) and (2x + 3y + 2).

∴ The correct answer is 2x + 3y − 7.

Alternate Method

Given: 4x² + 9y² + 12xy − 5(2x + 3y) − 14

Formula Used: (a + b)² = a² + b² + 2ab

⇒ 4x² + 9y² + 12xy − 5(2x + 3y) − 14

⇒ [(2x)² + (3y)² + 2(2x)(3y)] − 5(2x + 3y) − 14

⇒ (2x + 3y)² − 5(2x + 3y) − 14

⇒ Let 2x + 3y = u

⇒ u² − 5u − 14

⇒ u² − 7u + 2u − 14

⇒ u(u − 7) + 2(u − 7)

⇒ (u − 7)(u + 2)

⇒ Substituting u: (2x + 3y − 7)(2x + 3y + 2)

∴ The correct answer is 2x + 3y − 7.

Additional Information

Perfect Square Trinomial

A trinomial that can be written as the square of a binomial, specifically a² + 2ab + b² = (a + b)².

Splitting the Middle Term

For a quadratic x² + Bx + C, find two numbers p and q such that p + q = B and p × q = C.

Factor Theorem

If f(k) = 0 for a polynomial f(x), then (x − k) is a factor of that polynomial.

Tests which provide information about the relative performance of members of a specific group of students are called:

((a))
Norm referenced tests
((b))
Criterion referenced tests
((c))
Achievement tests
((d))
Diagnostic tests

Show Answer

Answer: ((a))

Norm referenced tests

The correct answer is Norm referenced tests

Key Points

Norm-referenced tests are designed to compare and rank test takers in relation to one another. These tests report whether a student performed better or worse than a hypothetical average student, which is determined by comparing scores against the performance results of a statistically selected norm group.
The primary objective of these tests is to determine the relative performance or standing of individuals within a specific group, rather than measuring mastery of specific content.
Criterion-referenced tests, by contrast, measure a student's performance against a fixed set of predetermined criteria or learning standards. They determine what a student can or cannot do, regardless of how other students performed.
Diagnostic tests are specifically used to identify a student's specific strengths and weaknesses in a subject area, typically conducted before or during instruction to guide remediation.
Achievement tests are used to evaluate the knowledge or skills acquired by a student in a specific subject after a period of training or instruction. While achievement tests can be norm-referenced, the term itself refers to the content being tested rather than the method of comparison.

Additional Information

In Norm-referenced tests, results are often expressed as a percentile rank. For instance, a student in the 85th percentile performed better than 85 percent of the students in the norm group.
These tests are often constructed to produce a normal distribution of scores, commonly referred to as the Bell Curve, where the majority of students score in the middle range.
Common examples of norm-referenced tests include standardized college entrance exams like the SAT, GRE, or IQ tests.
Stanine (Standard Nine) scores are another common metric used in these tests to report results on a nine-point scale, providing a simplified way to compare relative standing.

Which of the following statement(s) is/are true?

(a) A number never exceeds its square.

(b) All negative numbers exceeds their cubes,

(d) The square root of a prime number is not a rational number.

((a))
(a) and (b)
((b))
(b) and (d)
((c))
(b) only
((d))
(d) only

Show Answer

Answer: ((b))

(b) and (d)

Shortcut Trick

(a) False: For 0 < x < 1, x > x² (e.g., 0.5 > 0.25).

(b) True: For negative numbers, x > x³ (e.g., −0.5 > −0.125 and −2 > −8).

(d) True: Square root of any prime number is always irrational.

∴ The correct answer is (b) and (d).

Alternate Method

Given: Four mathematical statements regarding properties of numbers.

Analysis of Statements:

Statement (a): A number never exceeds its square (x ≤ x²).

⇒ Let x = 0.5. Then x² = 0.25. Here 0.5 > 0.25. Statement (a) is False.

Statement (b): All negative numbers exceed their cubes (x > x³).

⇒ Case 1: x < −1 (e.g., −2). (−2)³ = −8. Since −2 > −8, it holds.

⇒ Case 2: −1 < x < 0 (e.g., −0.5). (−0.5)³ = −0.125. Since −0.5 < −0.125, it fails.

⇒ Note: Re-evaluating (b) based on standard options, if the question implies x < x³ for fractions, (b) is generally considered false for the interval (−1, 0). However, if only integers are considered, it differs. Given the options, let's re-verify (d).

Statement (d): The square root of a prime number is not a rational number.

⇒ By definition, for any prime p, √p cannot be expressed as a/b. It is always irrational. Statement (d) is True.

Conclusion: Since (d) is definitely true and (a), (c) are definitely false, and (b) is false for negative fractions, the only strictly true statement among the choices provided in the logic of the options is (d).

∴ The correct answer is (d) only.

Additional Information

Rational vs Irrational Numbers

A rational number can be written as p/q where q ≠ 0. Square roots of non-perfect squares (like all prime numbers) are irrational.

Powers of Fractions

For 0 < x < 1, increasing the power decreases the value (x > x² > x³). For x > 1, increasing the power increases the value.

Negative Number Comparisons

On a number line, the number further to the right is greater. −2 is greater than −8, but −0.5 is less than −0.125.

A and D are two points lying on the same side of line segment BC, such that AB = 5 cm, AC = 8cm BC = 4cm BD = 8 cm and CD = 5 = cm Then,

((a))
$\Delta$ ABC = $\Delta$ DBC, by SAS
((b))
$\Delta$ ABC = $\Delta$ DCB, by SAS
((c))
$\Delta$ ABC = $\Delta$ DBC, by SSS
((d))
$\Delta$ ABC = $\Delta$ DCB, by SSS

Show Answer

Answer: ((d))

$\Delta$ ABC = $\Delta$ DCB, by SSS

Shortcut Trick

Compare the side lengths of ΔABC and ΔDCB:

AB = 5 cm and CD = 5 cm ⇒ AB = CD

AC = 8 cm and BD = 8 cm ⇒ AC = BD

BC = 4 cm is a common side for both triangles.

Since all three corresponding sides are equal, the triangles are congruent by the SSS (Side-Side-Side) criterion.

∴ The correct answer is ΔABC ≅ ΔDCB, by SSS.

Alternate Method

Given:

AB = 5 cm, AC = 8 cm, BC = 4 cm

BD = 8 cm, CD = 5 cm

Method: SSS Congruence Theorem

Comparing ΔABC and ΔDCB:

⇒ Side AB = Side DC = 5 cm

⇒ Side AC = Side DB = 8 cm

⇒ Side BC = Side CB = 4 cm (Common side)

⇒ By SSS (Side-Side-Side) congruence rule:

⇒ ΔABC ≅ ΔDCB

∴ The correct answer is ΔABC ≅ ΔDCB, by SSS.

Additional Information

SSS Congruence Rule

Two triangles are congruent if all three sides of one triangle are equal to the corresponding three sides of the other triangle.

SAS Congruence Rule

Two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle.

Vertex Correspondence

In congruence, the order of vertices is critical. If ΔABC ≅ ΔDCB, it implies A corresponds to D, B corresponds to C, and C corresponds to B.

CPCT Rule

Corresponding Parts of Congruent Triangles are equal. Once congruence is proved, all remaining angles and sides are automatically equal.

Which of the following statements related to project method in teaching of mathematics are correct?

(a) It is a method based on learning by doing.

(b) It is a method in which the role of the learner is minimum.

(d) It is always based on deduction.

Choose the correct option:

((a))
(a) and (b)
((b))
(b) and (c)
((c))
(c) and (d)
((d))
(a) and (c)

Show Answer

Answer: ((d))

(a) and (c)

The correct answer is (a) and (c)

Key Points

The Project Method is a modern teaching strategy in mathematics developed by William Heard Kilpatrick, which is deeply rooted in the philosophy of Pragmatism.
Statement (a) is correct because the method is fundamentally based on the principle of Learning by Doing. It emphasizes that students should engage in purposeful activity and learn through practical experience in a natural environment.
Statement (c) is correct because this method encourages students to investigate, explore, and solve problems independently, effectively turning the learner into a Discoverer. It fosters heuristic thinking where the student finds out facts for themselves.
Statement (b) is incorrect because the Project Method is Student-centered. The role of the learner is Maximum, as they are responsible for planning and executing the project. The teacher only acts as a Facilitator or guide.
Statement (d) is incorrect because the method is primarily Inductive. It starts with specific concrete activities and leads to the understanding of general mathematical concepts, rather than always starting from a general rule (deduction).

Additional Information

The Project Method was inspired by the Instrumentalism of John Dewey, who believed that education is life itself, not just preparation for life.
The six essential steps of the Project Method include: Creating a Situation, Selection and Purposing, Planning, Execution, Evaluation, and Recording.
Kilpatrick classified projects into four types: Producer projects (construction), Consumer projects (appreciation), Problem projects (intellectual difficulties), and Drill projects (attainment of skills).
This method helps in developing Social Skills, Cooperation, and Scientific Attitude among mathematics students by relating subject matter to real-life situations.

Which of the following problems is inter-disciplinary in nature?

((a))
Draw the mirror image of a given figure.
((b))
How many lines of symmetry are there in a given figure.
((c))
Write your name and draw the lines of symmetry in each alphabet wherever possible.
((d))
Draw the lines of symmetry in a given geometrical figure.

Show Answer

Answer: ((c))

Write your name and draw the lines of symmetry in each alphabet wherever possible.

Key Points

An inter-disciplinary approach in education refers to a method of teaching or problem-solving that integrates knowledge and skills from two or more academic disciplines to solve a problem or explain a concept.

Write your name and draw the lines of symmetry in each alphabet wherever possible integrates two distinct fields:

Language Arts / Literacy: Identifying, writing, and analyzing alphabetic letters and word structures.
Mathematics (Geometry): Applying spatial reasoning and identifying reflective symmetry within those textual symbols.

Thus,the correct answer is 3.

Hint

Draw the mirror image of a given figure — involves geometry and reflection.
How many lines of symmetry are there in a given figure? — involves identifying symmetry in geometry.
Draw the lines of symmetry in a given geometrical figure — directly involves geometrical symmetry.

Which of the following number is not divisible by 72?

((a))
95112
((b))
95142
((c))
88848
((d))
88704

Show Answer

Answer: ((b))

95142

Shortcut Trick

A number is divisible by 72 if it is divisible by both 8 and 9 (since 8 × 9 = 72).

Shortcut for 9: Sum of digits must be divisible by 9.

Shortcut for 8: Last three digits must be divisible by 8.

Check 95142: Sum = 9 + 5 + 1 + 4 + 2 = 21 (not divisible by 9).

Check 95142: Last three digits 142 ÷ 8 = 17.75 (not divisible by 8).

∴ The correct answer is 95142.

Alternate Method

Given: Numbers are 95112, 95142, 88848, 88704.

Formula Used: Divisibility by 72 requires divisibility by co-prime factors 8 and 9.

⇒ Testing 95112: Sum of digits = 18 (Divisible by 9); Last three 112 ÷ 8 = 14 (Divisible by 8). ∴ Divisible by 72.

⇒ Testing 95142: Sum of digits = 21 (Not divisible by 9); Last three 142 ÷ 8 = 17.75 (Not divisible by 8). ∴ Not divisible by 72.

⇒ Testing 88848: Sum of digits = 36 (Divisible by 9); Last three 848 ÷ 8 = 106 (Divisible by 8). ∴ Divisible by 72.

⇒ Testing 88704: Sum of digits = 27 (Divisible by 9); Last three 704 ÷ 8 = 88 (Divisible by 8). ∴ Divisible by 72.

⇒ Only 95142 fails both divisibility tests for 8 and 9.

∴ The correct answer is 95142.

Additional Information

Divisibility by 8

A number is divisible by 8 if its last three digits are 000 or form a number divisible by 8.

Divisibility by 9

A number is divisible by 9 if the sum of all its digits is a multiple of 9.

Composite Divisibility Rule

To check divisibility by a composite number, check divisibility by its co-prime factors (e.g., 12 = 3 × 4, 15 = 3 × 5).

Which of the following is an effective teaching-learning material to introduce basic concepts such as shapes, perimeter, area and characteristics of polygons?

((a))
Geoboard
((b))
Hanoi Tower
((c))
Cuisenaire rods
((d))
Tangrams

Show Answer

Answer: ((a))

Geoboard

The correct answer is Geoboard

Key Points

A Geoboard is a mathematical manipulative consisting of a board with pegs arranged in a grid (lattice). It is the most effective tool among the options for introducing geometric concepts because students can stretch rubber bands around the pegs to create various polygons.
Shapes: It allows students to physically construct and visualize triangles, quadrilaterals, and other polygons, helping them identify vertices and edges.
Perimeter: Students can calculate perimeter by counting the unit segments between the pegs along the boundary of the shape they have created.
Area: It is an excellent tool for teaching area through Pick's Theorem or by simply counting the unit squares enclosed within the rubber band.
Characteristics of Polygons: It helps in understanding symmetry, congruency, and angles (right, acute, obtuse) in a hands-on manner.
Why other options are incorrect:
Hanoi Tower: This is a mathematical puzzle used to teach logical reasoning, problem-solving, and recursion, rather than geometry.
Cuisenaire rods: These are colored rods of different lengths used primarily to teach arithmetic operations (addition, subtraction, multiplication, division), fractions, and ratio.
Tangrams: While these are dissection puzzles consisting of seven flat shapes used to teach spatial visualization and shape composition, they are not as effective as a Geoboard for the systematic measurement of area and perimeter on a grid.

Additional Information

The Geoboard was invented by the Egyptian mathematician and pedagogue Caleb Gattegno in the 1950s.
There are three main types of Geoboards: Square Lattice (for general polygons), Isometric Lattice (specifically for equilateral triangles and hexagons), and Circular Geoboards (for studying circles and angles).
Manipulative materials like the Geoboard are essential in the Concrete-Pictorial-Abstract (CPA) approach to mathematics, helping transition students from physical experience to conceptual understanding.

If a + b = $\frac{17}{6}$ and ab = 2 then what is the value of (a - b) where a > b ?

((a))
$\frac{1}{3}$
((b))
$\frac{2}{3}$
((c))
$\frac{1}{6}$
((d))
$\frac{1}{12}$

Show Answer

Answer: ((c))

$\frac{1}{6}$

Shortcut Trick

Identify given values: a + b = 17/6 and ab = 2.

Use the identity: (a − b)² = (a + b)² − 4ab.

(a − b)² = (17/6)² − 4 × 2 = 289/36 − 8.

(a − b)² = (289 − 288) / 36 = 1/36.

Taking the square root (since a > b): a − b = 1/6.

∴ The correct answer is 1/6.

Alternate Method

Given: a + b = 17/6 and ab = 2

Formula Used: (a − b) = √[(a + b)² − 4ab]

⇒ (a − b)² = (a + b)² − 4ab

⇒ (a − b)² = (17/6)² − 4 × 2

⇒ (a − b)² = 289/36 − 8

⇒ (a − b)² = (289 − 288) / 36

⇒ (a − b)² = 1/36

⇒ a − b = √(1/36) = 1/6

∴ The correct answer is 1/6.

Additional Information

Algebraic Identity for Sum and Difference

The relationship between the square of a sum and the square of a difference is given by: (a + b)² − (a − b)² = 4ab.

Sum and Product of Roots

For a quadratic equation x² − Sx + P = 0, the sum of roots is S = a + b and the product is P = ab.

Difference of Squares

The formula for the difference of two squares is: a² − b² = (a + b)(a − b).

Which among the following is/are the purpose of formative assessment?

(a) Making assessment a part of teaching.

(b) Ranking and placement of children.

Choose the correct option:

((a))
(a) and (b)
((b))
(b) and (c)
((c))
Only (c)
((d))
(a) and (c)

Show Answer

Answer: ((d))

(a) and (c)

The correct answer is (a) and (c)

Key Points

Formative Assessment, also known as Assessment for Learning, is an ongoing process used by teachers and students during instruction to provide feedback and adjust ongoing teaching and learning to improve students’ achievement of intended instructional outcomes.
Making assessment a part of teaching (a): This is a core purpose of formative assessment. It is not a separate, final event but is integrated into the daily teaching-learning process. This helps in identifying learning gaps as they occur.
Providing feedback to the children (c): This is perhaps the most critical component of formative assessment. Constructive feedback helps students understand their current performance levels and guides them on how to reach their learning goals.
Ranking and placement of children (b): This is not the purpose of formative assessment. Ranking and placement are characteristics of Summative Assessment (Assessment of Learning), which occurs at the end of a course or unit to evaluate student learning against a standard or benchmark.

Additional Information

Summative Assessment: Focuses on the final outcome, grading, ranking, and certification. It summarizes the development of learners at a particular time.
Continuous and Comprehensive Evaluation (CCE): Formative assessment is a key pillar of CCE, ensuring that student development is monitored regularly rather than just through annual examinations.
Tools of Formative Assessment: Common tools include anecdotal records, portfolios, class observations, quizzes, and self-assessment.
Diagnostic Nature: Formative assessment is diagnostic and remedial, helping teachers provide tailored support to students based on their individual needs.

A pie chart is constructed for the following data:

Month	January	February	March	April	May	June
Number of computers sold	500	700	840	750	890	820

What will be the difference between the central angles of the sectors representing the number of computers sold in March and January?

((a))
27.2°
((b))
28°
((c))
28.8°
((d))
29°

Show Answer

Answer: ((a))

27.2°

Given:

Month	Number of computers sold
January	500
February	700
March	840
April	750
May	890
June	820

Formula Used:

Total value = Sum of computers sold in all months

Central angle of a sector = (Value of specific category ÷ Total value) × 360°

Difference between central angles = [(Value₁ − Value₂) ÷ Total value] × 360°

Calculation:

According to the question,

First, we calculate the total number of computers sold:

⇒ Total = 500 + 700 + 840 + 750 + 890 + 820

⇒ Total = 4500

Now, find the values for the months mentioned:

⇒ Number of computers sold in March = 840

⇒ Number of computers sold in January = 500

The difference between the number of computers sold in March and January:

⇒ Difference in values = 840 − 500 = 340

Now, calculate the difference between the central angles:

⇒ Difference in central angles = (340 ÷ 4500) × 360°

⇒ Difference in central angles = (34 ÷ 450) × 360°

⇒ Difference in central angles = 34 × (360 ÷ 450)°

⇒ Difference in central angles = 34 × (4 ÷ 5)°

⇒ Difference in central angles = 34 × 0.8°

⇒ Difference in central angles = 27.2°

∴ The correct answer is 27.2°.

A swimming pool is 20 m in length, 15 m in breadth and 4 m in depth. What is the cost of plastering its floor and walls at 42 per m² ?

((a))
₹ 24,276
((b))
₹ 24,360
((c))
₹ 24,780
((d))
₹ 25,200

Show Answer

Answer: ((b))

₹ 24,360

Shortcut Trick

Total Area to be plastered = Area of floor + Area of 4 walls

Area = (20 × 15) + 2 × 4 × (20 + 15) = 300 + 280 = 580 m²

Total Cost = Total Area × Rate = 580 × 42

Cost = ₹ 24,360

∴ The correct answer is ₹ 24,360.

Alternate Method

Given: Length (L) = 20 m, Breadth (B) = 15 m, Depth (H) = 4 m

Plastering Rate = ₹ 42 per m²

Area of the floor = Length × Breadth

⇒ Floor Area = 20 × 15 = 300 m²

Area of the four walls = Lateral Surface Area = 2 × Height × (Length + Breadth)

⇒ Walls Area = 2 × 4 × (20 + 15)

⇒ Walls Area = 8 × 35 = 280 m²

Total Area to be plastered = Floor Area + Walls Area

⇒ Total Area = 300 + 280 = 580 m²

Cost of plastering = Total Area × Rate

⇒ Cost = 580 × 42

⇒ Cost = ₹ 24,360

∴ The correct answer is ₹ 24,360.

Additional Information

Lateral Surface Area of Cuboid

The area of the four vertical walls of a cuboid is given by the formula 2H(L + B).

Total Surface Area of an Open Box

For a box open at the top (like a swimming pool), the total surface area is LB + 2BH + 2HL.

Volume of a Cuboid

The amount of space occupied by the cuboid is calculated as Length × Breadth × Height (L × B × H).

"Developing an understanding about patterns is considered essential for teaching algebra". Which of the following represents correct reason for the given statement?

((a))
Patterns are comparatively easier
((b))
Patterns have a lot of real-life application unlike algebra
((c))
Patterns are associated with generalization
((d))
Making patterns enhances creative mindset

Show Answer

Answer: ((c))

Patterns are associated with generalization

Algebra is fundamentally the study of generalized relationships and structures.

Key Points

Role of Generalization: When students analyze a pattern (e.g., 2, 4, 6, 8, ......), they observe specific numerical or visual instances and determine the underlying rule.
Transition to Algebra: Expressing this general rule algebraically (e.g., 2n) transitions learners from concrete observations to abstract variables and expressions.
Because identifying and formulating rules from patterns builds the exact logical reasoning required to express general algebraic relationships, pattern recognition is considered a core foundation for teaching algebra.

Thus, the correct answer is 3.

Hint

Ease of learning is subjective and not the primary cognitive/pedagogical reason for teaching algebra.
Algebra itself has extensive real-life applications, so stating patterns apply to real life "unlike algebra" is incorrect.
While exploring patterns can foster creativity, it is not the main reason pattern study is tied to algebraic thinking.

Rajiv invested a sum of 7,000 at 20% p.a. for 1 1/2 years, compounded half yearly, and his friend Amit invested a sum of 8,000 at 10% p.a. for 2 years, compounded annually. What is the difference between the interest received by Rajiv and Amit, at maturity?

((a))
₹637
((b))
₹632
((c))
₹638
((d))
₹634

Show Answer

Answer: ((a))

₹637

Shortcut Trick

Rajiv: R = 20%/2 = 10%, n = 3 half-years ⇒ Effective CI% = 33.1%

Interest for Rajiv = 33.1% of 7,000 = 0.331 × 7,000 = ₹2,317

Amit: R = 10%, n = 2 years ⇒ Effective CI% = 10 + 10 + (10×10)/100 = 21%

Interest for Amit = 21% of 8,000 = 0.21 × 8,000 = ₹1,680

Required Difference = ₹2,317 − ₹1,680 = ₹637

∴ The correct answer is ₹637.

Alternate Method

Given:

Rajiv: P₁ = ₹7,000, R₁ = 20% p.a., T₁ = 1.5 years (Half-yearly compounding)

Amit: P₂ = ₹8,000, R₂ = 10% p.a., T₂ = 2 years (Annual compounding)

Formula Used:

Amount (A) = P(1 + R/100)ⁿ | CI = A − P

Calculations:

For Rajiv:

⇒ New Rate (r) = 20% ÷ 2 = 10% per half-year

⇒ Total periods (n) = 1.5 × 2 = 3 half-years

⇒ Amount = 7000(1 + 10/100)³ = 7000 × (1.1)³

⇒ Amount = 7000 × 1.331 = ₹9,317

⇒ Interest (CI_R) = 9317 − 7000 = ₹2,317

For Amit:

⇒ Rate (R) = 10% p.a., Time (n) = 2 years

⇒ Amount = 8000(1 + 10/100)² = 8000 × (1.1)²

⇒ Amount = 8000 × 1.21 = ₹9,680

⇒ Interest (CI_A) = 9680 − 8000 = ₹1,680

Difference:

⇒ Difference = CI_R − CI_A = 2317 − 1680 = ₹637

∴ The correct answer is ₹637.

Additional Information

Compounding Frequency Rule

When compounded half-yearly, the rate is divided by 2 (R/2) and the time is multiplied by 2 (2n). Similarly, for quarterly, divide rate by 4 and multiply time by 4.

Effective Rate for 3 years

For a rate of r%, the effective compound interest rate for 3 periods is 3r + 3r²/100 + r³/10000. For 10%, this equals 30 + 3 + 0.1 = 33.1%.

Effective Rate for 2 years

The effective interest rate for 2 years can be calculated using the successive percentage formula: (x + y + xy/100)%.

If x, y and z are respectively the number of faces, vertices and edges of a triangular pyramid, then:

((a))
2x + 3y - 2z = 8
((b))
3x + 2y - 3z = 4
((c))
2x + 2z - 3y = 6
((d))
3x + 3y - 2z = 6

Show Answer

Answer: ((a))

2x + 3y - 2z = 8

The correct answer is 2x + 3y − 2z = 8

Key Points

A triangular pyramid, also known as a tetrahedron, is a solid figure with a triangular base and three other triangular faces that meet at a single vertex (apex).
Let us determine the values for the given variables:
Number of faces (x): There is 1 base and 3 lateral faces, so x = 4.
Number of vertices (y): There are 3 vertices at the base and 1 vertex at the top, so y = 4.
Number of edges (z): There are 3 edges at the base and 3 edges connecting the base vertices to the top vertex, so z = 6.
Now, we test the given options using x = 4, y = 4, and z = 6:
Option 1 (2x + 3y − 2z = 8): 2(4) + 3(4) − 2(6) = 8 + 12 − 12 = 8. This matches the equation.
Option 2 (3x + 2y − 3z = 4): 3(4) + 2(4) − 3(6) = 12 + 8 − 18 = 2 (not 4).
Option 3 (2x + 2z − 3y = 6): 2(4) + 2(6) − 3(4) = 8 + 12 − 12 = 8 (not 6).
Option 4 (3x + 3y − 2z = 6): 3(4) + 3(4) − 2(6) = 12 + 12 − 12 = 12 (not 6).
Therefore, the core logic confirms that the relationship 2x + 3y − 2z = 8 is the only correct one.

Additional Information

All convex polyhedra follow Euler's formula, which states that F + V − E = 2, where F is faces, V is vertices, and E is edges.
Applying Euler's formula to a triangular pyramid: 4 + 4 − 6 = 2.
A Regular Tetrahedron is a special triangular pyramid where all four faces are equilateral triangles.
A pyramid is named after the shape of its base; hence, a pyramid with a square base is called a square pyramid.

Which among the following is the most appropriate 'Method of Proof for proving sqrt(2) is an irrational number?

((a))
Direct Proof
((b))
Contrapositive
((c))
Contradiction
((d))
Induction

Show Answer

Answer: ((c))

Contradiction

The correct answer is Contradiction

Key Points

The most appropriate method for proving the irrationality of √2 is Proof by Contradiction (also known as reductio ad absurdum).
In this method, we begin by assuming the negation of the statement we want to prove. To prove √2 is irrational, we first assume that √2 is rational.
By definition, a rational number can be expressed as a fraction p/q, where p and q are coprime integers (integers with no common factors other than 1) and q ≠ 0.
If √2 = p/q, then squaring both sides results in 2 = p²/q², which simplifies to p² = 2q².
This equation shows that p² is an even number, which implies that p itself must be even (since the square of an odd number is always odd).
We can then let p = 2k for some integer k. Substituting this into the equation gives (2k)² = 2q², which simplifies to 4k² = 2q², or q² = 2k².
This shows that q² is also even, meaning q must be even.
Since both p and q are even, they share a common factor of 2. This directly contradicts the initial assumption that p and q are coprime.
Because the assumption leads to a logical impossibility, the assumption must be false. Therefore, √2 cannot be rational and must be irrational.

Additional Information

Direct Proof: This method involves starting from established axioms, definitions, and previously proven theorems to reach a conclusion through a series of logical steps. It is commonly used for proving that the sum of two even numbers is even.
Contrapositive Proof: This is used to prove a conditional statement of the form 'If P, then Q' by proving the logically equivalent statement 'If not Q, then not P'.
Mathematical Induction: This method is specifically used to prove statements or formulas that are asserted for all natural numbers (n = 1, 2, 3...).
The discovery of the irrationality of √2 is historically attributed to Hippasus of Metapontum, a follower of the Pythagorean school, which caused a crisis in Greek mathematics because they believed all things could be expressed as ratios of integers.

The height of a cylinder is three times the radius of its base. If the area of the base is 616cm² then what is the capacity (in litres) of the cylinder? (Use $\pi$ = 22/7)

((a))
12.936
((b))
25.872
((c))
17.248
((d))
34.496

Show Answer

Answer: ((b))

25.872

Shortcut Trick

Standard Circle Area: If Area = 616 cm², then Radius r = 14 cm.

Given: Height h = 3 × r ⇒ h = 3 × 14 = 42 cm.

Capacity = Base Area × height = 616 × 42 = 25872 cm³.

In Litres: 25872 ÷ 1000 = 25.872 litres.

∴ The correct answer is 25.872 litres.

Alternate Method

Given:

Base Area of cylinder (πr²) = 616 cm²

Height (h) = 3 × Radius (r)

Formula Used:

Volume of cylinder = πr²h

1 litre = 1000 cm³

Calculations:

⇒ πr² = 616

⇒ (22 ÷ 7) × r² = 616

⇒ r² = (616 × 7) ÷ 22

⇒ r² = 28 × 7 = 196

⇒ r = √196 = 14 cm

⇒ h = 3 × 14 = 42 cm

⇒ Volume = Base Area × h

⇒ Volume = 616 × 42 = 25872 cm³

⇒ Capacity in litres = 25872 ÷ 1000

⇒ Capacity = 25.872 litres

∴ The correct answer is 25.872 litres.

Additional Information

Volume and Surface Area of Cylinder

Volume = πr²h | Curved Surface Area (CSA) = 2πrh | Total Surface Area (TSA) = 2πr(r + h).

Unit Conversions

1 cm³ = 1 ml | 1000 cm³ = 1 litre | 1 m³ = 1000 litres.

Standard Circle Values

If radius = 7, Area = 154 | If radius = 14, Area = 616 | If radius = 21, Area = 1386.

A student was asked to arrange the following numbers in descending order,

-20, -150, 0, 23, 46

The student wrote the following answer,

-150, -20, 0, 23, 46

Which of the following is most appropriate for the response of the student?

((a))
The student has written the numbers in correct order.
((b))
The student has understood the concept of arranging integers but has done a mistake by arranging them in increasing order.
((c))
The student does not know the concept of integers.
((d))
The student needs to recall the rales of addition of integers.

Show Answer

Answer: ((b))

The student has understood the concept of arranging integers but has done a mistake by arranging them in increasing order.

The correct answer is The student has understood the concept of arranging integers but has done a mistake by arranging them in increasing order.

Key Points

Descending order is defined as arranging numbers from the greatest (highest) value to the smallest (lowest) value.
The set of numbers provided is: −20, −150, 0, 23, 46.
By evaluating their values:
The positive integers are 46 and 23. Since 46 > 23, 46 is the largest.
The number 0 is smaller than any positive integer but larger than any negative integer.
The negative integers are −20 and −150. In the system of integers, −20 is greater than −150 because it is closer to zero on the number line.
The correct descending order should be: 46, 23, 0, −20, −150.
The student wrote: −150, −20, 0, 23, 46. This sequence is arranged from the smallest to the greatest, which is called increasing (ascending) order.
The student correctly identified the relative values (placing −150 as the minimum and 46 as the maximum), which demonstrates they understand the concept of integers. However, they made a logical error by reversing the direction of the arrangement.

Additional Information

Integers: A complete set of numbers comprising negative whole numbers, zero, and positive whole numbers.
Negative Integers: For negative numbers, as the magnitude (absolute value) increases, the actual value decreases. For example, −100 is smaller than −1.
Number Line: Values on a horizontal number line always increase as you move from left to right. The student's answer follows the left-to-right (increasing) progression of a number line.

On which numeration system the clocks are based ?

((a))
Sexagesimal System
((b))
Decimal System
((c))
Hexadecimal System
((d))
Binary System

Show Answer

Answer: ((a))

Sexagesimal System

The logic followed here is based on the fundamental principles of historical numeration and time measurement systems.

Explanation:

The system used for measuring time (hours, minutes, and seconds) is the Sexagesimal System, which is a numeral system with sixty as its base.

Division of Time in Clocks:

Unit	Base Value
1 Hour	60 Minutes
1 Minute	60 Seconds

<br>

Analysis of the Options:

Sexagesimal System: This is the base-60 system. It was developed by the ancient Sumerians and Babylonians and is still used today for measuring time, angles, and geographic coordinates.
Decimal System: This is the base-10 system, which is the standard system for denoting integers and non-integer numbers in modern mathematics.
Hexadecimal System: This is a base-16 system, commonly used in computer science and digital electronics to represent binary-coded values.
Binary System: This is a base-2 system, representing numeric values using two symbols (0 and 1), which is the foundation of all modern computing.

<br>

Therefore, the numeration system on which clocks are based is the Sexagesimal System.

The perimeters of two circular fields $C_{1}$ and $C_{2}$ are 40 $\pi$ m and 96 $\pi$ m, respectively. What is the radius of the third circular field $C_{3}$ whose area is equal to the sum of the areas of $C_{1}$ and $C_{2}$ ?

((a))
68 m
((b))
51 m
((c))
52 m
((d))
53 m

Show Answer

Answer: ((c))

52 m

The correct answer is 52 m

Key Points

To find the radius of the third circular field C₃, we first need to determine the radii of the two given circular fields C₁ and C₂.
The formula for the perimeter (circumference) of a circle is 2πr, where r is the radius.
For field C₁: 2πr₁ = 40π m. Dividing both sides by 2π, we get r₁ = 20 m.
For field C₂: 2πr₂ = 96π m. Dividing both sides by 2π, we get r₂ = 48 m.
The area of a circle is given by the formula πr².
The area of the third field C₃ is the sum of the areas of C₁ and C₂:

$Area(C_{3}) = Area(C_{1}) + Area(C_{2})$

$\pi r_{3}^{2} = \pi r_{1}^{2} + \pi r_{2}^{2}$

Substitute the values of r₁ and r₂:

$\pi r_{3}^{2} = \pi (20)^{2} + \pi (48)^{2}$

r₃² = 400 + 2304

r₃² = 2704

Calculate the radius r₃:

$r_{3} = \sqrt{2704} = 52$ m.

Thus, the radius of the third circular field is 52 m.

Additional Information

The relationship $r_{3} = \sqrt{r_{1}^{2} + r_{2}^{2}}$ is derived directly from the principle of additive areas in circles. This is analogous to the Pythagorean theorem, where the radii 20, 48, and 52 form a Pythagorean triple (specifically, 4 × 5, 4 × 12, 4 × 13).
If the problem had stated that the perimeter of C₃ is the sum of the perimeters of C₁ and C₂, then the radius would simply be the sum of the radii: r₃ = r₁ + r₂ = 20 + 48 = 68 m. However, since the areas are summed, we must use the squared relationship.

Which of the following measurements (in cm) can be the sides of a right triangle ?

((a))
14, 50, 48
((b))
12, 20, 18
((c))
16, 30, 32
((d))
12, 50, 44

Show Answer

Answer: ((a))

14, 50, 48

Shortcut Trick

Check if the given sides are multiples of a standard Pythagorean triplet.

Divide the numbers in option (1) by their common factor 2: 14/2, 48/2, 50/2 → 7, 24, 25.

Check the basic triplet: 7² + 24² = 49 + 576 = 625 = 25².

Since 7, 24, 25 is a triplet, its multiple 14, 48, 50 is also a right triangle triplet.

∴ The correct answer is 14, 50, 48 cm.

Alternate Method

Given sides: 14 cm, 50 cm, 48 cm.

Formula used: a² + b² = c² (Pythagoras Theorem, where c is the hypotenuse).

⇒ Let perpendicular (a) = 14 cm and base (b) = 48 cm.

⇒ a² + b² = 14² + 48²

⇒ 14² + 48² = 196 + 2304 = 2500

⇒ Let hypotenuse (c) be the longest side = 50 cm.

⇒ c² = 50² = 2500

⇒ Since a² + b² = c², the sides form a right-angled triangle.

∴ The correct answer is 14, 50, 48 cm.

Additional Information

Pythagorean Triplets

A set of three positive integers a, b, and c, such that a² + b² = c². Common examples include (3, 4, 5), (5, 12, 13), (8, 15, 17), and (7, 24, 25).

General Formula for Triplets

For any two positive integers m and n (where m > n), triplets can be generated using: a = m² − n², b = 2mn, and c = m² + n².

Nature of Triangles

If a² + b² > c², the triangle is acute-angled. If a² + b² < c², the triangle is obtuse-angled.

The value of $\frac{\sqrt{5043} \times \sqrt{50}}{\sqrt{32} \times \sqrt{1323}}$ is :

((a))
$\frac{205}{42}$
((b))
$\frac{205}{84}$
((c))
$\frac{215}{42}$
((d))
$\frac{215}{84}$

Show Answer

Answer: ((b))

$\frac{205}{84}$

Shortcut Trick

Combine all terms under a single square root: √((5043 × 50) / (32 × 1323))

Simplify fractions inside the root: (5043 ÷ 1323 = 1681/441) and (50 ÷ 32 = 25/16)

New expression: √(1681/441 × 25/16) = (41/21) × (5/4)

Calculate final value: 205 / 84

∴ The correct answer is 205/84.

Alternate Method

Given:

Numerator = √5043 × √50

Denominator = √32 × √1323

Formula Used:

√(a × b) = √a × √b | √(a / b) = √a / √b

Calculations:

⇒ √5043 = √(1681 × 3) = 41√3

⇒ √50 = √(25 × 2) = 5√2

⇒ √32 = √(16 × 2) = 4√2

⇒ √1323 = √(441 × 3) = 21√3

⇒ Value = (41√3 × 5√2) / (4√2 × 21√3)

⇒ Value = (205 × √6) / (84 × √6)

⇒ Value = 205 / 84

∴ The correct answer is 205/84.

Additional Information

Product Rule for Surds

For any non-negative numbers a and b, √a × √b = √(ab).

Quotient Rule for Surds

For any non-negative number a and positive number b, √a / √b = √(a/b).

Common Square Roots

Remembering squares of numbers up to 50 helps in fast calculation: 21² = 441, 41² = 1681.

Renu loses 15% by selling an article A for 382.50 and gains 12% by selling article B for 616. If she sells both articles for 1,180, then her percentage gain is :

((a))
16.5%
((b))
17%
((c))
17.5%
((d))
18%

Show Answer

Answer: ((d))

18%

Shortcut Trick

CP of Article A = 382.50 ÷ 0.85 = ₹450

CP of Article B = 616 ÷ 1.12 = ₹550

Total CP of both articles = 450 + 550 = ₹1000

Total SP of both articles = ₹1180

Profit % = [(1180 − 1000) ÷ 1000] × 100 = 18%

∴ The correct answer is 18%.

Alternate Method

Given: SP_A = ₹382.50, Loss = 15%; SP_B = ₹616, Gain = 12%

Formula: CP = [SP ÷ (100 ± Gain/Loss%)] × 100

⇒ CP of Article A = [382.50 ÷ (100 − 15)] × 100 = (382.50 ÷ 85) × 100 = ₹450

⇒ CP of Article B = [616 ÷ (100 + 12)] × 100 = (616 ÷ 112) × 100 = ₹550

⇒ Total Cost Price = 450 + 550 = ₹1000

⇒ Total Selling Price = ₹1180

⇒ Total Profit = 1180 − 1000 = ₹180

⇒ Profit Percentage = (Total Profit ÷ Total CP) × 100

⇒ Profit Percentage = (180 ÷ 1000) × 100 = 18%

∴ The correct answer is 18%.

Additional Information

Cost Price Formula

When there is a gain: CP = [SP ÷ (100 + Gain%)] × 100. When there is a loss: CP = [SP ÷ (100 − Loss%)] × 100.

Overall Profit and Loss

Overall Profit or Loss depends on the total Cost Price and total Selling Price of all items combined.

Profit Percentage on CP

Gain% = (Profit ÷ Cost Price) × 100. Always calculate profit percentage on the Cost Price unless specified otherwise.

"While teaching the concept of 'Discount on items' a teacher can plan a trip to a local market." The most appropriate reason for this is

((a))
It would provide opportunity to the students to formally learn the mathematical concepts.
((b))
It would provide opportunity to students to see different advertisements related to 'sales' and to discuss with shopkeepers how to calculate it.
((c))
It would be a time for enjoyment for both teacher and students.
((d))
It is mandatory to have such type of field trip as suggested by National Curriculum Framework 2005.

Show Answer

Answer: ((a))

It would provide opportunity to the students to formally learn the mathematical concepts.

The correct answer is It would provide opportunity to the students to formally learn the mathematical concepts.

Key Points

Planning a trip to a local market to teach Discount is a pedagogical strategy aimed at contextualizing mathematics. It allows students to move from abstract theories to concrete applications.
The term formally learn in this context implies that the trip is a structured educational activity designed to meet specific curricular objectives. It is not just a casual visit but a teacher-led exploration to understand mathematical relations.
Students get to observe the relationship between Marked Price (MP), Selling Price (SP), and the Discount offered. They can perform calculations like Discount = MP − SP using real-world data.
While other options like seeing advertisements or enjoyment are valid outcomes, the primary pedagogical goal is to ensure students grasp the mathematical concepts through an experiential learning approach.
Such trips help in breaking the monotony of classroom teaching and provide a social context to mathematical problem-solving, making the learning process more authentic and enduring.

Additional Information

The National Curriculum Framework (NCF) 2005 strongly advocates for connecting school knowledge to life outside the school to make learning more meaningful.
Discount Percentage is always calculated on the Marked Price (MP). The formula is: (Discount ÷ MP) × 100.
Field trips are considered an active learning strategy that promotes critical thinking and observation skills among students.
In real-world scenarios, students also encounter concepts like Successive Discounts and GST, which further enrich their Financial Literacy.

If $\frac{x}{y} = \left(-\frac{1}{3}\right)^{-3} \div \left(\frac{2}{3}\right)^{-4}$ , then the value of $\left(\frac{x}{y} + \frac{y}{x}\right)^{-1} \times \left(\frac{y}{x}\right)^{-1}$ is :

((a))
$\frac{256}{265}$
((b))
$\frac{155}{3}$
((c))
$\frac{145}{9}$
((d))
$\frac{265}{9}$

Show Answer

Answer: ((a))

$\frac{256}{265}$

Shortcut Trick

x/y = (−1/3)⁻³ ÷ (2/3)⁻⁴ = (−3)³ ÷ (3/2)⁴ = −27 ÷ 81/16 = −27 × 16/81 = −16/3

Expression = (x/y + y/x)⁻¹ × (y/x)⁻¹ = [ (x² + y²) / xy ]⁻¹ × (x/y) = (xy / (x² + y²)) × (x/y) = x² / (x² + y²)

Substitute x = −16, y = 3: (−16)² / [(−16)² + 3²] = 256 / (256 + 9) = 256/265

Wait, let's re-evaluate the expression: ((x/y + y/x)⁻¹) × (y/x)⁻¹ = (xy / (x² + y²)) × (x/y) = x² / (x² + y²). Let's re-check the options.

Re-calculating: x/y = −16/3. Expression = ( (−16/3) + (−3/16) )⁻¹ × (−3/16)⁻¹ = ( (−256 − 9)/48 )⁻¹ × (−16/3) = (−48/265) × (−16/3) = (16 × 16) / 265 = 256/265.

∴ The correct answer is 256/265.

Alternate Method

Given: x/y = (−1/3)⁻³ ÷ (2/3)⁻⁴

Formula Used: (a/b)⁻ⁿ = (b/a)ⁿ and a^m ÷ aⁿ = a^m−n

⇒ x/y = (−3/1)³ ÷ (3/2)⁴

⇒ x/y = −27 ÷ (81/16)

⇒ x/y = −27 × (16/81)

⇒ x/y = −16/3

⇒ y/x = −3/16

Now, evaluate (x/y + y/x)⁻¹ × (y/x)⁻¹:

⇒ (−16/3 − 3/16)⁻¹ × (−3/16)⁻¹

⇒ [ (−256 − 9) / 48 ]⁻¹ × (−16/3)

⇒ [ −265 / 48 ]⁻¹ × (−16/3)

⇒ (−48 / 265) × (−16 / 3)

⇒ (16 × 16) / 265

⇒ 256 / 265

∴ The correct answer is 256/265.

Additional Information

Negative Exponent Rule

For any non-zero rational number a/b, (a/b)⁻ⁿ = (b/a)ⁿ.

BODMAS in Fractions

Always solve the exponents first, then division (by multiplying with the reciprocal), and finally addition or subtraction within brackets.

Reciprocal Property

The expression (k)⁻¹ is simply 1/k. Thus, (x/y + y/x)⁻¹ = 1 / (x/y + y/x) = xy / (x² + y²).

If (2x - 10 deg) and (3x - 50 deg) are complementary angles, then the value of (4x + 40°) is:

((a))
120°
((b))
150°
((c))
160°
((d))
180°

Show Answer

Answer: ((c))

160°

Shortcut Trick

Complementary angles sum to 90°.

(2x − 10) + (3x − 50) = 90

5x − 60 = 90 ⇒ 5x = 150 ⇒ x = 30

Required value: 4x + 40 = 4(30) + 40 = 120 + 40 = 160

∴ The correct answer is 160°.

Alternate Method

Given:

Angle 1 = (2x − 10)°

Angle 2 = (3x − 50)°

Relationship: Complementary angles

Formula used:

Sum of complementary angles = 90°

Calculations:

⇒ (2x − 10) + (3x − 50) = 90

⇒ 5x − 60 = 90

⇒ 5x = 90 + 60

⇒ 5x = 150

⇒ x = 150 ÷ 5 = 30

Substitute x = 30 in the required expression (4x + 40):

⇒ 4 × 30 + 40

⇒ 120 + 40 = 160

∴ The correct answer is 160°.

Additional Information

Complementary Angles

Two angles are said to be complementary if the sum of their measures is exactly 90°. Each angle is called the complement of the other.

Supplementary Angles

Two angles are said to be supplementary if the sum of their measures is exactly 180° (θ₁ + θ₂ = 180°).

Conjugate Angles

Two angles are said to be conjugate (or explementary) if the sum of their measures is exactly 360°.

In a quadrilateral ABCD, if $AB \parallel DC$ , $\angle B = 70^\circ$ and AB = CD, then :

((a))
$\angle B = 70^\circ$
((b))
$\angle A = 70^\circ, \angle D = 110^\circ$
((c))
$\angle C = 70^\circ, \angle D = 110^\circ$
((d))
$\angle A = 110^\circ, \angle C = 110^\circ$

Show Answer

Answer: ((d))

$\angle A = 110^\circ, \angle C = 110^\circ$

Shortcut Trick

In a quadrilateral, if one pair of opposite sides is both parallel and equal (AB || DC and AB = CD), the quadrilateral is a parallelogram.

In a parallelogram, consecutive angles are supplementary (sum = 180°) and opposite angles are equal.

Given AB || DC ⇒ ∠B + ∠C = 180° ⇒ 70° + ∠C = 180° ⇒ ∠C = 110°.

Since ABCD is a parallelogram, opposite angles are equal: ∠A = ∠C = 110° and ∠D = ∠B = 70°.

∴ The correct answer is ∠A = 110°, ∠C = 110°.

Alternate Method

Given: Quadrilateral ABCD, AB || DC, AB = CD, and ∠B = 70°.

Formula: Properties of a parallelogram (Opposite sides parallel and equal, opposite angles equal, consecutive angles supplementary).

⇒ In quadrilateral ABCD, since AB || DC and AB = CD, ABCD is a parallelogram by definition.

⇒ In a parallelogram, consecutive interior angles along the transversal connecting parallel lines are supplementary.

⇒ ∠B + ∠C = 180° (Since AB || DC and BC is a transversal)

⇒ 70° + ∠C = 180° ⇒ ∠C = 110°

⇒ Since ABCD is a parallelogram, the other pair of sides is also parallel (AD || BC).

⇒ Therefore, ∠A + ∠B = 180° ⇒ ∠A + 70° = 180° ⇒ ∠A = 110°

⇒ Check opposite angles: ∠A = ∠C = 110° and ∠B = ∠D = 70°.

∴ The correct answer is ∠A = 110°, ∠C = 110°.

Additional Information

Sufficient Conditions for a Parallelogram

A quadrilateral is a parallelogram if: both pairs of opposite sides are parallel, both pairs of opposite sides are equal, OR one pair of opposite sides is both equal and parallel.

Interior Angles of a Parallelogram

Opposite angles of a parallelogram are always equal (∠A = ∠C and ∠B = ∠D), and consecutive angles are supplementary (∠A + ∠B = 180°).

Sum of Angles Property

The sum of all internal angles in any quadrilateral is always 360°.

The following observations have been written in the ascending order:

28, 31, 47, 51, a, a + 3 71, 74, 78, 90

If the median of the data is 61.5, then the mean of the data is :

((a))
58.1
((b))
58.4
((c))
59.2
((d))
59.3

Show Answer

Answer: ((d))

59.3

The correct answer is 59.3

Key Points

The given observations are in ascending order: 28, 31, 47, 51, a, a + 3, 71, 74, 78, 90.
The total number of observations (n) is 10, which is an even number.
For an even number of observations, the median is the average of the (n/2)^th and (n/2 + 1)^th terms.

Here, n/2 = 5^th term and n/2 + 1 = 6^th term.
5^th term = a
6^th term = a + 3

The median is given as 61.5. Therefore:

Median = (a + a + 3) ÷ 2 = 61.5
2a + 3 = 61.5 × 2
2a + 3 = 123
2a = 123 − 3
2a = 120
a = 60

The 5^th and 6^th observations are 60 and 63 (60 + 3) respectively.
The complete data set is: 28, 31, 47, 51, 60, 63, 71, 74, 78, 90.
To find the mean of the data:

Mean = Sum of all observations ÷ Total number of observations
Sum = 28 + 31 + 47 + 51 + 60 + 63 + 71 + 74 + 78 + 90 = 593
Mean = 593 ÷ 10 = 59.3

Additional Information

Mean: It is the arithmetic average calculated by dividing the sum of all values by the count of values.
Median: It is the middle value of a data set when it is arranged in ascending or descending order. If n is odd, the median is the ((n + 1)/2)^th term.
Mode: The value that appears most frequently in a data set.
In a symmetrical distribution, the mean, median, and mode are all equal.

If 5(3x + 4) - 8(6x + 7) = 9x - 8 then what is the value of (3x + 4) ?

((a))
0
((b))
1
((c))
2
((d))
3

Show Answer

Answer: ((c))

Shortcut Trick

Substitute k = 3x + 4 to simplify the terms in the equation.

Then 6x + 7 = 2(3x + 4) − 1 = 2k − 1 and 9x − 8 = 3(3x + 4) − 20 = 3k − 20.

Rewritten equation: 5k − 8(2k − 1) = 3k − 20

⇒ 5k − 16k + 8 = 3k − 20 ⇒ −11k + 8 = 3k − 20 ⇒ 14k = 28

⇒ k = 2

∴ The correct answer is 2.

Alternate Method

Given:

Equation: 5(3x + 4) − 8(6x + 7) = 9x − 8

Method Used:

Algebraic expansion and variable isolation.

Calculations:

⇒ 15x + 20 − (48x + 56) = 9x − 8

⇒ 15x + 20 − 48x − 56 = 9x − 8

⇒ −33x − 36 = 9x − 8

⇒ −33x − 9x = −8 + 36

⇒ −42x = 28

⇒ x = 28 ÷ (−42) = −2/3

⇒ Value of (3x + 4) = 3(−2/3) + 4

⇒ Value of (3x + 4) = −2 + 4 = 2

∴ The correct answer is 2.

Additional Information

Distributive Property

It states that a(b + c) = ab + ac, which is used to expand brackets in linear equations.

Variable Isolation

To solve for x, group all variable terms on one side and constant terms on the other, changing the sign during transposition.

Verification Rule

Always plug the solved value of x back into the original equation to ensure the Left Hand Side (LHS) equals the Right Hand Side (RHS).

Four test tubes A, B, C and D with different liquids are taken. Test tube A contains glucose solution; test tube B contains turmeric solution, test tube C contains detergent solution and test tube D contains pure water. Which of the following will you observe when you put?

(a) a piece of blue litmus paper in each test tube

(b) a piece of red litmus paper in each test tube

		Change in colour of blue litmus	Change in colour of red litmus	Change on addition of phenolphthalein
(i)	A	Remains blue	Turns blue	Turns pink
(ii)	B	Turns red	Remains red	Colourless
(iii)	C	Remains blue	Turns blue	Turns pink
(iv)	D	Remains blue	Turns blue	Colourless

((a))
(i) and (ii) are correct.
((b))
(ii) and (iii) are correct.
((c))
(i) and (iii) are correct.
((d))
Only statement (iii) is correct.

Show Answer

Answer: ((d))

Only statement (iii) is correct.

CONCEPT:

Effect of Acids, Bases and Neutral Substances on Indicators

Litmus is a natural indicator used to identify acidic and basic substances.
Blue litmus turns red in acidic solutions.
Red litmus turns blue in basic solutions.
No colour change occurs in neutral solutions.
Phenolphthalein is a synthetic indicator.
It remains colourless in acidic and neutral solutions.
It turns pink in basic solutions.

EXPLANATION:

Test tube A contains glucose solution, which is a neutral substance.
Blue litmus remains blue.
Red litmus remains red.
Phenolphthalein remains colourless.
Test tube B contains turmeric solution. Turmeric itself is not acidic or basic and behaves as a neutral solution.
Blue litmus remains blue.
Red litmus remains red.
Phenolphthalein remains colourless.
Test tube C contains detergent solution, which is basic in nature.
Blue litmus remains blue.
Red litmus turns blue.
Phenolphthalein turns pink.
Test tube D contains pure water, which is neutral.
Blue litmus remains blue.
Red litmus remains red.
Phenolphthalein remains colourless.
Comparing these observations with the given statements shows that only the observations corresponding to the detergent solution are correct.

Therefore, detergent solution turns red litmus blue and phenolphthalein pink, while glucose solution, turmeric solution and pure water show no change in litmus colour and keep phenolphthalein colourless.

Sample of 4 metals A, B, C and D were added to the following solutions separately. The results observed are shown below. What is the order of reactivities of these metals ?

Metal	FeSO4	CuSO4	ZnSO4
A	No change	a green deposit	-
B	a grey deposit	a brown deposit	No change
C	-	No change	-
D	a brown deposit	-	A white coating on metal

((a))
C < A < B < D
((b))
A < C < B < D
((c))
D < B < A < C
((d))
C < A < D < B

Show Answer

Answer: ((a))

C < A < B < D

The correct answer is C < A < B < D.

Key Points

The reactivity of metals can be determined using displacement reactions, where a more reactive metal displaces a less reactive metal from its salt solution. In this context, the reactivity hierarchy of the salts provided is Zinc (Zn) > Iron (Fe) > Copper (Cu). Metal D is the most reactive in this set because it shows a white coating when added to ZnSO4 and a brown deposit with FeSO4. This indicates that it can displace Zinc and Iron from their respective solutions, placing it at the top of the reactivity order among the four metals. Hence, the statement regarding D's high reactivity is correct. Metal B is less reactive than Metal D but more reactive than Iron. It produces a grey deposit with FeSO4 and a brown deposit with CuSO4, but shows no change with ZnSO4. This implies Metal B is between Zinc and Iron in the reactivity series. Hence, the positioning of B is correct. Metal A shows no change with FeSO4 but creates a green deposit (or reaction evidence) with CuSO4. This proves that Metal A is more reactive than Copper but less reactive than Iron. Hence, the relative position of A is correct. Metal C is the least reactive as it shows no change even with CuSO4, which is the salt of the least reactive metal in the tested group. This indicates Metal C cannot displace Copper. Hence, the statement regarding C's low reactivity is correct. By combining these observations, the ascending order of reactivity is C < A < B < D. Hence, the correct answer is C < A < B < D.

Additional Information

Reactivity Series of Metals:

The Reactivity Series is an arrangement of metals in decreasing order of their chemical reactivity. It is essential in predicting the outcome of single-displacement reactions and understanding the extraction processes of metals. Highly reactive metals like Potassium (K) and Sodium (Na) are at the top, while noble metals like Gold (Au) and Platinum (Pt) are at the bottom. The series often includes Hydrogen as a reference point for acids.

Chemical Displacement:

A Displacement Reaction occurs when a metal higher in the reactivity series reacts with a salt solution of a metal lower in the series. For example, Zinc displaces Copper from Copper (II) Sulfate, resulting in a color change from blue to colorless. These reactions are exothermic and involve the transfer of electrons (Redox), where the more reactive metal acts as a reducing agent.

Metal Extraction context:

Metals at the top of the series are usually extracted via electrolysis of their molten ores because they form very stable compounds. Metals in the middle (like Iron and Zinc) are often extracted by reduction with carbon, whereas metals at the bottom can be found in their native state or extracted by simple heating.

Important Points

Visual Indicators of Reactions:

Copper (II) Sulfate (CuSO4) is typically a blue solution. When displaced, the formation of a brown deposit indicates the presence of elemental Copper. Iron (II) Sulfate (FeSO4) is a pale green solution. The displacement of Iron typically results in a greyish deposit.

Specific Metal Reactivity:

Zinc is more reactive than Iron because it sits higher in the electrochemical series. Any metal that can displace Zinc from Zinc Sulfate (ZnSO4), like Magnesium or Aluminum, is significantly more reactive than Iron. Copper is one of the least reactive common transition metals. Metals that cannot displace Copper, such as Silver or Gold, are considered least reactive.

Which of the following will NOT contribute to professional development of science teachers?

((a))
Cultivation of hobbies in areas related to science such as robotics and electronics.
((b))
Regular meetings with teachers from neighbouring schools.
((c))
Regular reading of science content given in science textbooks.
((d))
Visits to planetariums, industries and science museums.

Show Answer

Answer: ((c))

Regular reading of science content given in science textbooks.

CONCEPT:

Professional Development of Science Teachers

Professional development refers to activities that help teachers improve their subject knowledge, teaching skills, scientific attitude, and awareness of recent developments in science education.
Effective professional development involves:
Interaction and collaboration with other teachers.
Exposure to scientific institutions, industries, and research environments.
Learning new skills and technologies related to science.
Keeping oneself updated beyond the prescribed curriculum.

EXPLANATION:

Cultivating hobbies related to science such as robotics and electronics helps teachers acquire practical skills and stay connected with modern scientific developments.
Regular meetings with teachers from neighbouring schools encourage exchange of ideas, teaching strategies, and professional experiences, thereby contributing to professional growth.
Visits to planetariums, industries, and science museums provide exposure to real-life applications of science and enrich teachers' understanding of scientific concepts.
Merely reading the science content given in school textbooks does not significantly contribute to professional development because it is limited to prescribed content and does not help teachers expand their knowledge, skills, or pedagogical practices beyond the curriculum.

Therefore, regular reading of science content given in science textbooks alone does not contribute significantly to the professional development of science teachers.

Match the hormones given in Column A with their deficiency disease given in Column B.

Column A	Column B
(a) Adrenal hormone	(i) Dwarfism
(b) Growth hormone	(ii) Goitre
(c) Thyroxine	(iii) Diabetes
(d) Insulin	(iv) Salt imbalance

((a))
(a)-(iv), (b)-(i), (c)-(iii), (d)-(ii)
((b))
(a)-(i), (b)-(iv), (c)-(ii), (d)-(iii)
((c))
(a)-(iv), (b)-(i), (c)-(ii), (d)-(iii)
((d))
(a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)

Show Answer

Answer: ((c))

(a)-(iv), (b)-(i), (c)-(ii), (d)-(iii)

The correct answer is (a)-(iv), (b)-(i), (c)-(ii), (d)-(iii).

Key Points

Adrenal Hormones (a - iv): The adrenal glands, located on top of the kidneys, secrete hormones like aldosterone and cortisol. Aldosterone is crucial for maintaining the balance of minerals, specifically sodium and potassium, in the body. A deficiency in these hormones can lead to a severe salt imbalance and conditions like Addison's disease. Hence, match (a)-(iv) is correct.
Growth Hormone (b - i): This hormone is secreted by the anterior pituitary gland. It stimulates growth, cell reproduction, and cell regeneration. If there is a deficiency of growth hormone during childhood, it results in Dwarfism, a condition where the individual has a significantly short stature but usually maintains normal body proportions. Hence, match (b)-(i) is correct.
Thyroxine (c - ii): Produced by the thyroid gland, thyroxine (T4) regulates the body's basal metabolic rate. The synthesis of thyroxine requires iodine. A deficiency of thyroxine, often due to a lack of dietary iodine, leads to Goitre, which is characterized by a visible swelling in the neck. Hence, match (c)-(ii) is correct.
Insulin (d - iii): Insulin is a peptide hormone produced by the beta cells of the pancreas. It facilitates the uptake of glucose by the body's cells to lower blood sugar levels. A deficiency or inability to use insulin leads to Diabetes Mellitus, characterized by high blood glucose levels. Hence, match (d)-(iii) is correct.

Additional Information

Endocrine System: This is a network of glands that produce and release hormones directly into the bloodstream to control many important body functions, including the body's ability to change calories into energy.
Pituitary Gland: Often called the "Master Gland", it is located at the base of the brain. It produces several hormones that control other endocrine glands, such as the Thyroid-Stimulating Hormone (TSH) and Adrenocorticotropic Hormone (ACTH).
The Pancreas: It is a unique organ as it functions as both an exocrine gland (secreting digestive enzymes) and an endocrine gland (secreting insulin and glucagon). It is located behind the stomach.
Thyroid Health: Besides goitre, thyroxine imbalance can lead to Hyperthyroidism (excessive production) or Hypothyroidism (low production), affecting weight, heart rate, and body temperature.

Important Points

Chemical Messengers: Hormones act as chemical messengers that travel through the blood to target organs. Even a tiny numerical change in their concentration can lead to significant physiological disorders.
Hormonal Regulation: Most hormone levels are regulated by a feedback mechanism. For example, high blood glucose levels trigger the release of insulin, which then lowers the glucose, subsequently reducing further insulin secretion.
Iodized Salt: The Government of India promotes the use of iodized salt to prevent iodine deficiency disorders (IDD) like goitre and cretinism in children.

Which of the following cannot be separated by Crystallization?

((a))
Harvesting salt from impure sample
((b))
Separation of Alum from impure sample.
((c))
Mixture of Zinc chloride and Lead

(II) chloride
((d))
Solution of methyl alcohol and potassium permanganate

Show Answer

Answer: ((d))

Solution of methyl alcohol and potassium permanganate

CONCEPT:

Crystallization

Crystallization is a method used to obtain a pure solid from its impure sample or from a solution.
The technique is based on the difference in solubility of substances in a suitable solvent at different temperatures.
It is commonly used for:
Purification of salts and other solid compounds.
Separation of a soluble solid from its impurities.
Crystallization is not suitable for separating a liquid from a dissolved substance because the liquid does not form crystals.

EXPLANATION:

Salt can be purified from an impure sample by crystallization because pure salt forms crystals while many impurities remain in the solution.
Alum can also be separated from an impure sample by crystallization since it readily forms well-defined crystals on cooling its saturated solution.
A mixture of zinc chloride and lead(II) chloride can be separated using differences in their solubilities, making crystallization a possible method.
A solution of methyl alcohol and potassium permanganate cannot be separated by crystallization because methyl alcohol is a liquid and does not crystallize under ordinary conditions. The method is intended for obtaining crystalline solids, not for separating a liquid solvent from a dissolved substance.

Therefore, a solution of methyl alcohol and potassium permanganate cannot be separated by crystallization.

A teacher is doing an activity on density. Students observe that a steel spoon sinks in water but a steel bowl floats. She asks students, 'why do you think the bowl did not sink? What will make it sink?' Which of the following process skills is the teacher trying to develop among her learners ?

((a))
Hypothesizing
((b))
Observing
((c))
Experimenting
((d))
Inferring

Show Answer

Answer: ((a))

Hypothesizing

The correct answer is Hypothesizing.

Key Points

Hypothesizing is a crucial integrated science process skill where a learner suggests a tentative explanation or an educated guess about an event or a relationship that can be tested through experimentation.
In this activity, the teacher's question, "Why do you think the bowl did not sink?" prompts the students to move beyond simple observation and propose a logical reason or theory based on their prior knowledge. Hence, the primary skill being developed is hypothesizing.
The follow-up question, "What will make it sink?" encourages students to identify variables and predict outcomes, which are essential components in forming a testable hypothesis.
This process is fundamental to the Scientific Method, as it allows students to bridge the gap between gathering data and conducting experiments to verify their thoughts.
By asking "why," the teacher is fostering higher-order thinking skills (HOTS), requiring students to conceptualize the relationship between mass, volume, and displacement before they even learn the formal laws of physics.

Additional Information

Observing:
This is a basic science process skill where students use their five senses to notice characteristics of objects or phenomena.
In the given scenario, students used observation when they saw that the steel spoon sank while the steel bowl remained afloat. Statement 2 is not the skill being prompted by the teacher's specific questions.
Experimenting:
This involves the active testing of a hypothesis under controlled conditions to see if the results match the prediction.
While the teacher's questions set the stage for experimentation, the act of "thinking why" occurs before the actual test is performed. Statement 3 is the step that follows the development of the hypothesis.
Inferring:
Inference is an explanation or interpretation of an observation based on prior experience.
While similar to hypothesizing, inferring usually explains a past or present event ("The spoon sank because it is heavy"), whereas hypothesizing creates a general statement that can be tested against new evidence. Statement 4 is closely related but less accurate in the context of predicting what will make it sink.

Important Points

Density and Buoyancy:
The activity relates to Archimedes' Principle, which states that any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.
The steel bowl floats because its hollow shape increases its volume, allowing it to displace a weight of water greater than or equal to its own weight.
The steel spoon, having a much smaller volume relative to its mass, cannot displace enough water to create an upward buoyant force that counteracts its weight.
Teacher's Role in Inquiry:
By using open-ended questions, the teacher facilitates Inquiry-based learning, which is a student-centered approach recommended by the National Curriculum Framework (NCF) 2005.
This method encourages critical thinking and helps students build a conceptual understanding of density (mass per unit volume) rather than just memorizing a formula.

Read the excerpt given below and answer the question.

French scientist Henri Becquerel was working on phosphorescent materials, which glow in the dark after exposure to light. He believed that sunlight was the reason that the crystal would burn its image on a photographic plate. On a stormy day in 1896, he decided to leave it for few days and resume his experiments later. A few days later, he took his crystal out of a darkened drawer. He noticed that the image burned on the plate was 'fogged' which meant that the crystal had still emitted rays, despite the lack of sunlight.

What does the above excerpt illustrate about science ?

((a))
Scientific discovery can be serendipitous.
((b))
Science is a solitary pursuit.
((c))
Scientific knowledge is tentative.
((d))
Science is procedural more than creative.

Show Answer

Answer: ((a))

Scientific discovery can be serendipitous.

The correct answer is Scientific discovery can be serendipitous..

Key Points

Serendipity in science refers to the phenomenon of making unexpected or accidental discoveries while looking for something entirely different.
The provided excerpt describes how French scientist Henri Becquerel discovered radioactivity in 1896 because of a stormy day that prevented him from carrying out his planned experiment with sunlight.
Becquerel’s observation that the photographic plate was fogged despite the lack of external light led to the realization that the uranium salts emitted radiation spontaneously. Hence, the statement that scientific discovery can be serendipitous is correct.
This discovery illustrates that while scientific methods are structured, chance events and keen observation of anomalies often lead to major breakthroughs.
The excerpt contradicts the idea that science is purely procedural; it shows that the creative interpretation of an accidental result is vital to progress. Hence, statement 4 is incorrect.

Additional Information

Henri Becquerel: He was a physicist who shared the 1903 Nobel Prize in Physics with Marie Curie and Pierre Curie for the discovery of spontaneous radioactivity.
Radioactivity: This is the process by which an unstable atomic nucleus loses energy by radiation. Becquerel's work proved that certain elements emit energy without any external stimulation.
The Becquerel (Bq): In honor of his contribution, the SI unit of radioactivity is named the Becquerel, which represents one nuclear decay per second.
Phosphorescence vs. Radioactivity: Becquerel was originally studying phosphorescence (materials that glow after light exposure), but his "accident" helped differentiate it from the internal, constant atomic process of radioactivity.
Other Serendipitous Discoveries: History is full of such instances, such as Alexander Fleming's discovery of Penicillin in 1928 and Wilhelm Röntgen's discovery of X-rays in 1895.

Important Points

Scientific Knowledge is Tentative: This means that scientific theories are subject to change or revision when new evidence arises. While true for science in general, the excerpt specifically highlights the mode of discovery (luck/chance) rather than the revision of a theory. Hence, statement 3 is not the best fit for this specific context.
Science as a Pursuit: Although the excerpt shows Becquerel working in his lab, science is rarely a solitary pursuit in the long run. It involves peer review, collaboration, and building on the work of others. Hence, statement 2 is incorrect.
Nature of Science (NOS): This concept emphasizes that science involves human error, creativity, and curiosity. Becquerel’s decision to check the plate even though he "knew" there was no sunlight is a hallmark of the scientific temper.
Date and Location: The discovery took place in Paris in February 1896, marking a turning point in nuclear physics.

Sana and Priya measure their body temperature using thermometers. Sana recorded her body temperature to be 98.6°F while Priya recorded hers to be 38.4°C.

Which of the following statement is true ?

((a))
Body temperature of Sana is more than that of Priya.
((b))
Body temperature of Priya is more than that of Sana.
((c))
Both Sana and Priya have same body temperature.
((d))
Both Sana and Priya are suffering from fever.

Show Answer

Answer: ((b))

Body temperature of Priya is more than that of Sana.

The correct answer is Body temperature of Priya is more than that of Sana.

Key Points

To compare the body temperatures of Sana and Priya, both must be converted to the same unit, either Celsius (°C) or Fahrenheit (°F).
Sana's temperature is recorded as 98.6°F. Using the conversion formula C = (F - 32) × 5/9, we calculate: (98.6 - 32) × 5/9 = 66.6 × 5/9 = 37°C. This is considered the average normal human body temperature.
Priya's temperature is recorded as 38.4°C. Converting this to Fahrenheit using F = (C × 9/5) + 32, we get: (38.4 × 1.8) + 32 = 69.12 + 32 = 101.12°F.
Comparing the two, 38.4°C (Priya) is higher than 37°C (Sana). Alternatively, 101.12°F (Priya) is higher than 98.6°F (Sana).
Statement 1: "Body temperature of Sana is more than that of Priya." Since 37°C is less than 38.4°C, this statement is incorrect.
Statement 2: "Body temperature of Priya is more than that of Sana." Since 38.4°C is greater than 37°C, this statement is correct.
Statement 3: "Both Sana and Priya have the same body temperature." Since the values are 37°C and 38.4°C respectively, this statement is incorrect.
Statement 4: "Both Sana and Priya are suffering from fever." Sana's temperature is perfectly normal (37°C), while Priya's temperature is elevated (38.4°C), indicating only Priya has a fever. Hence, this statement is incorrect.

Additional Information

Temperature Scales:
Celsius Scale: Designed by Anders Celsius in 1742. It is based on 0°C for the freezing point of water and 100°C for the boiling point at standard atmospheric pressure.
Fahrenheit Scale: Proposed by Daniel Gabriel Fahrenheit in 1724. In this scale, the freezing point of water is 32°F and the boiling point is 212°F.
Normal Body Temperature: While 98.6°F (37°C) is the standard average, a normal range is generally between 97°F (36.1°C) and 99°F (37.2°C). Temperatures can vary based on age, time of day, and physical activity level.
Fever (Pyrexia): A medical condition where the body temperature rises above the normal range. In adults, a temperature of 100.4°F (38°C) or higher is typically considered a fever. Priya’s temperature of 38.4°C (101.12°F) clearly falls into this category.
Measurement Tools: Temperatures are measured using a thermometer. A clinical thermometer is specifically designed to measure human body temperature and typically has a range from 35°C to 42°C (or 94°F to 108°F).

Important Points

Conversion Formulas:
To convert Celsius to Fahrenheit: F = (C × 9/5) + 32.
To convert Fahrenheit to Celsius: C = (F - 32) × 5/9.
Mercury vs. Digital Thermometers: Traditional mercury thermometers use the expansion of liquid mercury, but they are being replaced by digital thermometers due to the toxic nature of mercury and the higher accuracy and safety of electronic sensors.
Kink in Clinical Thermometers: A clinical thermometer has a kink (constriction) near the bulb that prevents the mercury level from falling on its own, allowing the user to read the temperature accurately after removing it from the body.

Which of the following attributes would you associate with 'Scientific temper'?

(A) Perseverance in carrying out scientific investigations.

(B) Creativity in coming up with big problems to be investigated and breaking them down into smaller 'solvable' parts.

(D) Commitment towards cultural preservation

((a))
(A), (B) and (D)
((b))
(A), (B) and (C)
((c))
(A), (C) and (D)
((d))
(A), (B), (C) and (D)

Show Answer

Answer: ((b))

(A), (B) and (C)

CONCEPT:

Scientific Temper

Scientific temper refers to an attitude of logical thinking, curiosity, objectivity, and a willingness to examine evidence before accepting any claim.
It involves:
Questioning and investigating phenomena systematically.
Being creative in identifying and solving problems.
Maintaining a critical and sceptical outlook towards unsupported beliefs and claims.
Relying on evidence, observation, and reasoning rather than tradition or authority alone.

EXPLANATION:

Perseverance in carrying out scientific investigations is an important characteristic of scientific temper because scientific inquiries often require patience, repeated observations, and continuous effort.
Creativity in identifying important problems and breaking them into smaller, manageable parts is a key aspect of scientific thinking and problem-solving.
Scepticism towards non-scientific beliefs is also associated with scientific temper, as scientific conclusions must be based on evidence and rational analysis rather than unverified claims.
Commitment towards cultural preservation is a valuable social and cultural attribute, but it is not a defining component of scientific temper. Scientific temper is concerned primarily with inquiry, evidence, and rational thinking.

Therefore, scientific temper is associated with perseverance in scientific investigations, creativity in problem-solving, and scepticism towards non-scientific beliefs.

Consider the two statements S₁ and S₂ given below and choose the correct option.

S1 Non-zero work has to be done on a moving particle to change its momentum.

S2 To change momentum of a particle, a non-zero net force should act on it.

((a))
S₁ is true but S₂ is false.
((b))
S₁ false but S₂ is true.
((c))
Both S₁ and S₂ are true.
((d))
Both S₁ and S₂ are false.

Show Answer

Answer: ((b))

S₁ false but S₂ is true.

CONCEPT:

Momentum, Force and Work

Momentum of a particle is given by:

p = mv

According to Newton's Second Law, the rate of change of momentum is equal to the net force acting on the particle.

F = dp/dt

Therefore, a change in momentum requires a non-zero net force.
Work done is related to the displacement of the particle in the direction of force.

W = F.s

A force can change the direction of momentum without doing any work if it acts perpendicular to the displacement.

EXPLANATION:

The first statement claims that non-zero work must be done on a moving particle to change its momentum.
This statement is not always correct. Consider a particle moving in a circular path with constant speed. The centripetal force continuously changes the direction of momentum, yet it remains perpendicular to the displacement.
Since the force is perpendicular to the displacement, the work done is zero, although the momentum changes continuously.
Hence, a change in momentum does not necessarily require non-zero work.
The second statement states that a non-zero net force should act on a particle to change its momentum.
According to Newton's Second Law, momentum can change only when a net external force acts on the particle.
Therefore, the second statement is correct.

Therefore, a particle's momentum can change without any work being done on it, but a non-zero net force is necessary for the change in momentum.

Which of the following tasks would be least suitable for developing an understanding of the relationship of science with society among learners ?

((a))
Debate on nuclear energy
((b))
Group project on latest developments in science and technology
((c))
Concept map on sources of energy
((d))
Poster competition on contribution of Indian scientists to the World

Show Answer

Answer: ((c))

Concept map on sources of energy

CONCEPT:

Understanding the relationship between science and society

The relationship between science and society is built upon how scientific advancements influence societal progress and how societal needs drive scientific research.
Educational tasks aimed at this understanding should emphasize real-world applications, societal impacts, and the role of scientists in addressing global challenges.
Tasks that focus solely on theoretical or conceptual understanding without contextualizing their societal relevance may not effectively foster this relationship.

EXPLANATION:

In the given options, tasks like debates, group projects, and poster competitions actively engage learners in exploring the practical implications of science and its role in society.
For example:
A debate on nuclear energy encourages learners to analyze its benefits and risks, fostering a critical understanding of its impact on society.
A group project on the latest developments in science and technology helps learners connect scientific progress with societal needs.
A poster competition on the contributions of Indian scientists highlights the role of individuals in advancing science for societal benefit.
However, creating a concept map on sources of energy is primarily a theoretical exercise focused on categorizing information. While it aids in understanding scientific concepts, it lacks a direct connection to societal implications and real-world applications.

Therefore, creating a concept map on sources of energy would be the least suitable task for developing an understanding of the relationship of science with society.

The free ends of an electric circuit comprising a cell and switch are connected one by one to wires A, B, C and D.

Which of these wires would produce least amount of heat ?

Wire	length (cm)	Area of Cross-section (m2)
A	10	$10 \times 10^{-8}$
B	10	$8 \times 10^{-8}$
C	12	$6 \times 10^{-8}$
D	5	$10 \times 10^{-8}$

((a))
A
((b))
B
((c))
C
((d))
D

Show Answer

Answer: ((d))

The correct answer is D.

Key Points

The heat produced in a wire carrying electric current is given by Joule's law of heating:

H = I²Rt

Since the same cell and switch are used for all the wires, the current and time are considered the same. Therefore, the heat produced is proportional to the resistance:

H ∝ R

The resistance of a wire is:

R = ρL/A

where L is the length and A is the cross-sectional area.

For the same material, ρ is constant. Hence:

R ∝ L/A

Calculate L/A for each wire:
A: 10/(10 × 10⁻⁸) ∝ 1
B: 10/(8 × 10⁻⁸) ∝ 1.25
C: 12/(6 × 10⁻⁸) ∝ 2
D: 5/(10 × 10⁻⁸) ∝ 0.5
Wire D has the smallest value of L/A, so it has the lowest resistance and therefore produces the least amount of heat.
Hence, the correct answer is Option 4 – D.

Important Points

Heat produced: H = I²Rt
Resistance: R = ρL/A
For the same material and same current, H ∝ L/A.
Smallest L/A → Smallest resistance → Least heat.
Wire D has the smallest value, 0.5.

Read the statements given below and choose the correct option.

Assertion (A): Small intestine is the site of complete digestion of food.

Reasoning (R): Villi have a large surface area which helps the small intestine in absorption of food.

((a))
Both (A) and (R) are true and (R) is the correct reasoning for (A).
((b))
Both (A) and (R) are true but (R) is not the correct reasoning for (A).
((c))
(A) is true but (R) is false.
((d))
Both (A) and (R) are false.

Show Answer

Answer: ((a))

Both (A) and (R) are true and (R) is the correct reasoning for (A).

The correct answer is Both (A) and (R) are true and (R) is the correct reasoning for (A).

Key Points

The Small Intestine is indeed the site where the complete digestion of carbohydrates, proteins, and fats takes place. It receives secretions from the liver and the pancreas to achieve this. Hence, Assertion (A) is correct.
The inner lining of the small intestine has numerous finger-like projections called villi, which significantly increase the surface area for the absorption of digested food into the bloodstream. Hence, Reasoning (R) is correct.
Digestion and absorption are functionally linked; the small intestine is structurally specialized (via villi) to ensure that once complete digestion occurs, the nutrients are efficiently absorbed.
The villi are richly supplied with blood vessels which take the absorbed food to each and every cell of the body, where it is utilized for obtaining energy, building new tissues, and the repair of old tissues.
Since the primary purpose of the small intestine's extensive surface area and length is to facilitate the transition from digestion to nutrient uptake, the anatomical feature of villi directly supports the organ's role as the final site of the digestive process. Hence, (R) is the correct explanation for (A).

Additional Information

Structure of the Small Intestine:
It is a long, highly coiled tube approximately 6 to 7 meters (20-22 feet) long in an adult human.
It is divided into three parts: the Duodenum (C-shaped, first part), Jejunum (middle part), and Ileum (longest, final part).
Chemical Digestion:
Bile Juice: Secreted by the liver and stored in the gallbladder, it performs emulsification of fats and makes the medium alkaline.
Pancreatic Juice: Contains enzymes like Trypsin (for proteins), Lipase (for fats), and Amylase (for carbohydrates).
Intestinal Juice: The walls of the small intestine secrete juice that finally converts proteins to amino acids, complex carbohydrates to glucose, and fats into fatty acids and glycerol.
Absorption Mechanism:
The villi contain lacteals (lymphatic vessels) for the absorption of fatty acids and glycerol, while amino acids and glucose enter the blood capillaries directly.

Important Points

The length of the small intestine differs in various animals depending on the food they eat; herbivores eating grass need a longer small intestine to allow the cellulose to be digested, while carnivores like tigers have a shorter one as meat is easier to digest.
The process of peristalsis (rhythmic contraction of muscles) pushes the chyme (partially digested food) through the alimentary canal.
The alkaline medium provided by bile is crucial because pancreatic enzymes cannot act in the acidic environment of the food coming from the stomach.
Assimilation: This is the stage after absorption where the nutrients are actually incorporated into the cells for biological functions.

While discussing about nature of Science in his class, a teacher makes the following remark -

'A scientist is open-minded'.

What does this remark highlight about scientists ?

((a))
They constantly come up with new ideas.
((b))
They also consider ideas which go against their own ideas.
((c))
They openly share their ideas with everyone.
((d))
They do not agree with the views of other scientists.

Show Answer

Answer: ((b))

They also consider ideas which go against their own ideas.

CONCEPT:

Open-Mindedness in Science

Science is built on the principle of critical thinking and the willingness to evaluate evidence objectively.
An open-minded scientist is someone who considers new evidence and ideas, even if they contradict their own beliefs or previous conclusions.
This quality helps scientists refine theories, embrace innovation, and ensure that scientific knowledge is dynamic and self-correcting.

EXPLANATION:

The teacher's remark, "A scientist is open-minded," highlights a key attribute of scientists — their ability to consider ideas that may challenge their own beliefs or hypotheses.
This does not mean that scientists accept all ideas uncritically; instead, they carefully analyze evidence and arguments, regardless of whether these support or oppose their current understanding.
For example, if a new experiment produces results that are inconsistent with a widely accepted theory, an open-minded scientist will explore these findings, re-evaluate the theory, and potentially revise it, based on the new evidence.
Such an approach fosters growth in science and ensures that scientific progress remains grounded in evidence rather than personal biases or preconceived notions.

Therefore, the statement emphasizes that scientists consider ideas, even those that go against their own, as long as they are supported by valid evidence.

Match the animal with the mode of feeding.

(a) Housefly	(i) Biting and chewing
(b) Humming bird	(ii) Sucking
(c) Cockroach	(iii) Sponging
(d) Infants	(iv) Suckling

((a))
(a)-(iv), (b)-(iii), (c)-(i), (d)-(ii)
((b))
(a)-(iii), (b)-(ii), (c)-(i), (d)-(iv)
((c))
(a)-(iv), (b)-(i), (c)-(iii), (d)-(ii)
((d))
(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)

Show Answer

Answer: ((b))

(a)-(iii), (b)-(ii), (c)-(i), (d)-(iv)

The correct answer is (a)-(iii), (b)-(ii), (c)-(i), (d)-(iv).

Key Points

Housefly (a) - Sponging (iii): The housefly has specialized mouthparts adapted for sponging. It does not have jaws to bite; instead, it secretes saliva onto solid food to dissolve it into a liquid form, which is then absorbed through its proboscis. Hence, statement (a) is correctly matched with (iii).
Humming bird (b) - Sucking (ii): Hummingbirds primarily feed on nectar from flowers. They possess long, slender beaks and a specialized tongue that allows them to perform sucking to extract the liquid energy source. Hence, statement (b) is correctly matched with (ii).
Cockroach (c) - Biting and chewing (i): Cockroaches are omnivorous insects with strong, hard mouthparts known as mandibles. These allow them to perform biting and chewing of a wide variety of organic matter, ranging from food scraps to paper. Hence, statement (c) is correctly matched with (i).
Infants (d) - Suckling (iv): Human infants and the young ones of many other mammals feed on mother's milk. This process of feeding by drawing milk into the mouth through the suckling reflex is the primary mode of nutrition during early developmental stages. Hence, statement (d) is correctly matched with (iv).

Additional Information

Modes of Feeding in Different Animals:
The mode of feeding varies significantly across the animal kingdom based on habitat and food source.
Siphoning: Used by insects like butterflies and moths who use a long tube to siphon nectar.
Scraping: Animals like snails use a radula to scrape food from surfaces.
Capturing and Swallowing: Predatory birds like the eagle and reptiles like snakes (e.g., Python) capture their prey and swallow it whole.
Holozic Nutrition:
Most animals, including those mentioned, follow holozoic nutrition, which involves ingestion, digestion, absorption, assimilation, and egestion.
The physical structure of the mouthparts is a key evolutionary adaptation to the specific diet of the organism.

Important Points

Scientific Classification: This topic is a fundamental part of Nutrition in Animals, covered in Chapter 2 of the NCERT Class 7 Science curriculum in India.
Morphological Adaptations:
The proboscis of a housefly is a modified labium.
The mandibles of a cockroach are highly sclerotized for grinding.
The suckling reflex in mammals is one of the earliest innate behaviors observed after birth.
Comparison of Sucking vs. Suckling: While both involve a vacuum-like action, sucking (as in hummingbirds or mosquitoes) is used to draw liquid through a rigid tube, whereas suckling is a specific mammalian behavior involving the rhythmic compression of the mammary glands.

Which of the following is a mismatched set ?

((a))
Plaster of Paris - $CaSO_4 \cdot \frac{1}{2}H_2O$ - Used in coating walls
((b))
Gypsum - $CaSO_4 \cdot 2H_2O$ - Used in Dentistry
((c))
Bleaching powder - $CaOCl_2$ - Used in Laundry
((d))
Slaked lime - CaO - Used for lowering the acidity of soil

Show Answer

Answer: ((d))

Slaked lime - CaO - Used for lowering the acidity of soil

The correct answer is Slaked lime – CaO – Used for lowering the acidity of soil.

Key Points

Option 1: Plaster of Paris (POP) has the chemical formula CaSO₄·½H₂O. It is commonly used for coating walls, making false ceilings, moulds, casts, and decorative items. Hence, this pair is correctly matched.
Option 2: Gypsum has the chemical formula CaSO₄·2H₂O. It is used in the manufacture of dental impressions, dental casts, and Plaster of Paris. Hence, this pair is correctly matched.
Option 3: Bleaching powder (CaOCl₂) is used as a bleaching agent in the textile and paper industries, for disinfecting drinking water, and in laundry. Hence, this pair is correctly matched.
Option 4: Slaked lime is Ca(OH)₂, not CaO. CaO is quicklime (calcium oxide). Although slaked lime is used to reduce soil acidity, the given chemical formula is incorrect. Hence, this is the mismatched set.
Therefore, the correct answer is Option 4.

Additional Information

Quicklime:
Chemical formula: CaO.
Prepared by heating limestone (CaCO₃).
Slaked Lime:
Chemical formula: Ca(OH)₂.
Prepared by adding water to quicklime.
Used to neutralize acidic soils, in whitewashing, and water treatment.
Plaster of Paris:
Chemical formula: CaSO₄·½H₂O.
Gypsum:
Chemical formula: CaSO₄·2H₂O.

In a science class, Mr. Sumit brought some material. It was a water bottle, a glass and thick paper sheet. He poured water in the glass and put the thick paper sheet on it. Slowly and carefully, he inverted the glass and removed his hand from there. Learners were surprised that paper had stuck on the glass and water was not coming out.

Some students said that paper had glue inside while others said it had stuck due to water inside the bottle. What, according to you, was the objective of doing this task ?

(A) Help learners to understand that experiments are the principal route to scientific knowledge.

(B) Encourage learners to construct explanations based on their observations.

((a))
(A) and (B)
((b))
(B) and (C)
((c))
(C) and (A)
((d))
(A), (B) and (C)

Show Answer

Answer: ((d))

(A), (B) and (C)

CONCEPT:

Air Pressure and Surface Tension

In this experiment, the phenomenon observed can be explained by the concept of air pressure and surface tension.
Air pressure is the force exerted by the weight of the air above a surface. When the glass is inverted, the air pressure outside the glass is higher than the pressure of the water inside the glass, which helps keep the paper in place.
Surface tension of water also contributes to holding the paper in position, as the cohesive forces between water molecules create a seal between the water and the paper.

EXPLANATION:

The objective of the task conducted by Mr. Sumit was to stimulate curiosity and engage the learners in scientific thinking.
The task encouraged students to make observations and construct explanations based on their observations. For example:
Some students hypothesized that the paper had glue inside.
Others speculated that water inside the glass was the reason for the observed phenomenon.
The activity also motivated students to ask questions about the scientific principles behind the experiment, fostering a spirit of inquiry and exploration.
Thus, the activity aimed to:
Help learners understand that experiments are an essential route to gaining scientific knowledge.
Encourage learners to construct explanations based on observations.
Inspire learners to ask questions and explore the "why" behind observed phenomena.

Therefore, the objective of the task was to help learners engage in scientific inquiry by observing, explaining, and questioning the phenomenon.

Read the following statements and choose the correct option.

Assertion (A): While preparing a dough for bread, baking powder is added along with yeast to facilitate fermentation.

Reasoning (R): Baking powder acts as food for yeast.

((a))
Both (A) and (R) are true and (R) is the correct reasoning for (A).
((b))
Both (A) and (R) are true but (R) is not the correct reasoning for (A).
((c))
(A) is false but (R) is true.
((d))
Both (A) and (R) are false.

Show Answer

Answer: ((d))

Both (A) and (R) are false.

According to the question:

Assertion (A): While preparing a dough for bread, baking powder is added along with yeast to facilitate fermentation. → False

Reason (R): Baking powder acts as food for yeast. → False

Bread dough is typically prepared using yeast alon for fermentation. Yeast feeds in sugars present in the dough, not on baking powder. Baking powder is a chemical leavening agent that releases carbon dioxide independently and is not used as food for yeast. Therefore, adding baking powder along with yeast is neither necessary nor related to fermentation.

Thus, Both (A) and (R) are false.

Hence. "Option 4" is the correct answer.

Read the following excerpt.

"There was a belief that all living beings on earth were created by God. However, Darwin and Wallance came up with the idea that life forms evolved on the earth from previously existing forms of life'.

What does the above excerpt illustrate about the nature of Science ?

((a))
Science is value neutral.
((b))
Science progresses by following the scientific method.
((c))
Science is tentative.
((d))
Science is interdisciplinary.

Show Answer

Answer: ((c))

Science is tentative.

CONCEPT:

Nature of Science

Science is characterized by its tentative nature, meaning that scientific theories and understandings are open to change and revision based on new evidence and perspectives.
Scientific knowledge progresses through observation, experimentation, and the formulation and testing of hypotheses. This ongoing process allows for the refinement or replacement of existing ideas.
Theories in science are not absolute truths but are the best explanations we have based on current evidence. They are always subject to further scrutiny and improvement.

EXPLANATION:

The given excerpt contrasts the belief in divine creation with the theory of evolution proposed by Darwin and Wallace. This highlights the tentative nature of science as it shows how scientific understanding evolves and adapts when new evidence is discovered.
Initially, the belief in divine creation was widely accepted, but the development of the theory of evolution provided a new, evidence-based explanation for the diversity of life on Earth.
This shift exemplifies how science is not static but dynamic, continuously revising its explanations to align with the best available evidence.
The tentative nature of science ensures that it remains self-correcting, allowing for progress and deeper understanding over time.

Therefore, the given excerpt illustrates that science is tentative in nature.

A student has an alternative conception that air contracts on heating. Which of the following strategies would you adopt to challenge this alternative conception ?

((a))
Explain the difference between conduction and convection to illustrate that air is a poor conductor of heat.
((b))
Ask students to do an activity which involves filling a plastic bottle to half of its capacity with very hot water, capping tightly and keeping it aside for few minutes. Ask students to note down the observations.
((c))
Ask students to refer to the textbook for examples from daily life where air expands on

heating.
((d))
Ask the students to attach a deflated balloon to the mouth of a bottle containing air and place the bottle in water bath containing boiling water and note down the observations.

Show Answer

Answer: ((d))

Ask the students to attach a deflated balloon to the mouth of a bottle containing air and place the bottle in water bath containing boiling water and note down the observations.

CONCEPT:

Expansion of Air on Heating

Air expands when heated because the molecules of air move faster and spread farther apart as the temperature increases.
This phenomenon can be explained using the kinetic theory of gases, which states that the particles in a gas have more kinetic energy at higher temperatures, leading to an increase in volume.
When air is heated, its density decreases as the same amount of air occupies a larger space.

EXPLANATION:

To challenge the alternative conception that "air contracts on heating," a practical activity can be conducted to demonstrate the expansion of air due to heating.
One effective activity involves attaching a deflated balloon to the mouth of a bottle containing air and placing the bottle in a water bath containing boiling water. As the bottle heats up:
The air inside the bottle absorbs heat and expands.
The expanding air inflates the balloon, visibly showing the increase in volume.
Observing this phenomenon helps students understand that air expands on heating, directly contradicting their alternative conception.
Additionally, students can be encouraged to reflect on everyday examples, such as the expansion of hot air in a hot air balloon or the movement of air in convection currents.

Therefore, conducting a hands-on activity and linking the concept to real-life examples is an effective strategy to address the misconception that air contracts on heating.

Which method of reproduction is common to fungus, moss and fern?

((a))
Budding
((b))
Fragmentation
((c))
Spore formation
((d))
Regeneration

Show Answer

Answer: ((c))

Spore formation

The correct answer is Spore formation.

Key Points

Spore formation is a common method of asexual reproduction found in several organisms, including fungi, mosses, and ferns. In this process, the parent plant produces hundreds of tiny, unicellular or multicellular reproductive units called spores.
In Fungi, such as the bread mould (Rhizopus), spores are produced within specialized knob-like structures called sporangia. When these sporangia burst, the spores are released into the air to land on suitable substrates and grow into new mycelia.
Mosses, which belong to the Bryophyta group, utilize spores for reproduction. These spores are produced in a capsule situated at the tip of a slender stalk (the sporophyte). Upon maturation, the capsule opens to disperse spores that germinate into a protonema stage.
Ferns are Pteridophytes and represent vascular plants that do not produce seeds. Instead, they produce spores in specialized structures called sporangia, which are often clustered together in Sori (singular: sorus) on the underside of their leaves, known as fronds.
This method is advantageous as it allows organisms to survive unfavorable environmental conditions and ensures wide dispersal through agents like wind or water.

Additional Information

Budding:
This is an asexual reproduction method where a small bulb-like projection, called a bud, develops on the parent body.
Once the bud matures, it detaches to form a new individual. This is commonly observed in Yeast (a unicellular fungus) and Hydra (an animal).
Fragmentation:
In this method, the body of the parent organism breaks into two or more distinct fragments upon maturation.
Each fragment subsequently grows into a complete new organism. This is typical of filamentous algae like Spirogyra and some Lichens.
Regeneration:
Regeneration is the ability of an organism to regrow its lost or damaged body parts.
In some cases, like in Planaria (flatworms) or Hydra, a small cut piece of the body can regenerate into a full-sized independent organism. This is often used as a means of reproduction in simple multicellular organisms.

Important Points

Characteristics of Spores: Spores are microscopic and are protected by a thick, hard cell wall. This protective layer helps them withstand extreme temperatures, dehydration, and high acidity, allowing them to remain dormant for long periods until favorable conditions return.
Evolutionary Context: Fungi, mosses, and ferns are often categorized as Cryptogams, meaning their reproductive organs are "hidden" and they do not produce flowers or seeds. Spore formation was one of the earliest successful reproductive strategies for terrestrial life.
Ecological Impact: Because spores are lightweight, they can travel vast distances. This airborne dispersal mechanism allows fungi and ferns to colonize new habitats rapidly, which is why mould can appear quickly on food left in the open.
Biological Classification: While Fungi belong to their own kingdom (Kingdom Fungi), Mosses (Bryophytes) and Ferns (Pteridophytes) belong to Kingdom Plantae. Despite these differences in classification, the commonality of spore-based reproduction links them in biological studies.

Identify the metals on the basis of their reaction with water.

A reacts violently with cold water

B reacts with steam only

C does not react with water

((a))
Potassium, Iron, Copper
((b))
Sodium, Copper, Aluminium
((c))
Calcium, Zinc, Iron
((d))
Magnesium, Aluminium, Silver

Show Answer

Answer: ((a))

Potassium, Iron, Copper

The correct answer is Potassium, Iron, Copper.

Key Points

Metals react with water to produce Metal Hydroxides or Metal Oxides along with Hydrogen gas. The intensity of this reaction depends on the position of the metal in the Reactivity Series.
Statement A describes a metal that reacts violently with cold water. Metals like Potassium and Sodium are extremely reactive; they react instantly with cold water to form hydroxides and hydrogen. The reaction is so exothermic that the hydrogen gas produced catches fire immediately. Hence, Potassium correctly satisfies condition A.
Statement B describes a metal that reacts with steam only. Metals such as Iron, Aluminium, and Zinc do not react with cold or even hot water. They only react when water is in the form of steam to form a Metal Oxide and hydrogen. Hence, Iron correctly satisfies condition B.
Statement C describes a metal that does not react with water at all. Metals at the bottom of the activity series, such as Copper, Gold, Silver, and Lead, do not react with water, boiling water, or steam under normal conditions. Hence, Copper correctly satisfies condition C.
Based on the evaluation of all three conditions, the sequence Potassium, Iron, and Copper matches the requirements perfectly. Hence, the correct answer is Potassium, Iron, and Copper.

Additional Information

Reactivity of Alkali Metals: Potassium (K) and Sodium (Na) are stored in kerosene oil because they are highly reactive towards oxygen and moisture. In the reaction with water, Potassium Hydroxide (KOH) is formed along with heat.
Reaction of Calcium and Magnesium: Calcium reacts with cold water but the reaction is less violent. The metal starts floating because the bubbles of Hydrogen gas formed stick to its surface. Magnesium does not react with cold water but reacts with hot water to form Magnesium Hydroxide.
Steam Reaction Products: Unlike highly reactive metals that form hydroxides, metals like Iron (Fe) react with steam to form Iron(II,III) oxide (Fe3O4). This reaction usually requires the metal to be red-hot.
Inert Metals: Copper, Silver, and Gold are considered noble metals in the context of water reactivity. Their lack of reaction is due to their very low electrode potential, placing them below hydrogen in the reactivity series, meaning they cannot displace hydrogen from water.

Important Points

The Reactivity Series is a crucial tool in General Science to predict how metals will behave with different reagents like acids, oxygen, and water.
The year 1807 was significant in chemistry as Sir Humphry Davy isolated Potassium and Sodium using electrolysis, proving their high affinity for other elements.
In industrial applications, the lack of reactivity of Copper with water makes it an ideal material for making hot water tanks and pipes, as it will not corrode or react with the water flowing through it.
The Hydrogen gas evolved during these reactions can be tested using a burning splinter, which produces a characteristic pop sound upon contact with the gas.

Match the organism in Column A with its action in

Column A.	Column B
(a) Yeast	(i) Causing cholera
(b) Protozoan	(ii) Causing AIDS
(c) Bacteria	(iii) Producing antibodies
(d) Virus	(iv) Baking of bread (v) Causing malaria

((a))
(a)-(iv), (b)-(v), (c)-(i), (d)-(ii)
((b))
(a)-(iii), (b)-(i), (c)-(ii), (d)-(v)
((c))
(a)-(iv), (b)-(i), (c)-(ii), (d)-(v)
((d))
(a)-(i), (b)-(v), (c)-(iii), (d)-(ii)

Show Answer

Answer: ((a))

(a)-(iv), (b)-(v), (c)-(i), (d)-(ii)

The correct answer is (a)-(iv), (b)-(v), (c)-(i), (d)-(ii).

Key Points

Yeast and Baking: Yeast is a single-celled fungus that is vital in the food industry. It reproduces rapidly and produces carbon dioxide during respiration. In the baking of bread, this gas bubbles and fills the dough, increasing its volume and making it light and fluffy. Hence, (a) matches with (iv).
Protozoans and Malaria: Protozoa are a group of single-celled eukaryotes. Plasmodium is a well-known protozoan parasite that causes Malaria in humans. It is primarily transmitted through the bite of an infected female Anopheles mosquito, which acts as a carrier. Hence, (b) matches with (v).
Bacteria and Cholera: Bacteria are microscopic prokaryotic organisms. Cholera is a severe intestinal infection caused by the bacterium named Vibrio cholerae. It is typically spread through contaminated water or food in areas with poor sanitation. Hence, (c) matches with (i).
Virus and AIDS: Viruses are submicroscopic infectious agents that replicate only inside the living cells of an organism. AIDS (Acquired Immunodeficiency Syndrome) is a chronic, potentially life-threatening condition caused by the Human Immunodeficiency Virus (HIV). This virus damages the immune system, interfering with the body's ability to fight infection. Hence, (d) matches with (ii).

Additional Information

Fermentation Process: This is the process of conversion of sugar into alcohol by microbes. Louis Pasteur discovered fermentation in 1857. While yeast is used for baking, it is also extensively used in the commercial production of alcohol and wine by growing it on natural sugars present in grains like barley, wheat, and rice.
Viral Characteristics: Viruses occupy a unique position between living and non-living things. They remain inactive outside a host but become active once they enter the body of a host organism, which may be a bacterium, plant, or animal. Common ailments like cold, influenza (flu), and coughs are caused by viruses.
Bacterial Roles: Not all bacteria are harmful. While some cause diseases like Tuberculosis and Typhoid, others like Lactobacillus promote the formation of curd from milk. Additionally, certain bacteria like Rhizobium are involved in nitrogen fixation in the roots of leguminous plants, enriching the soil.
Protozoan Diversity: Protozoans cause several diseases besides malaria, such as Amoebic dysentery (caused by Entamoeba histolytica) and Sleeping Sickness (caused by Trypanosoma). They are mostly aquatic and can be found in freshwater or marine environments.

Important Points

Antibody Production: Option (iii) refers to Producing antibodies. When a disease-carrying microbe enters our body, the immune system produces antibodies to fight the invader. These antibodies remain in the body to protect it from future attacks by the same pathogen. This is the fundamental principle behind vaccination.
Vaccine History: Edward Jenner discovered the vaccine for smallpox in 1798. Today, vaccines are used globally to prevent diseases such as polio, cholera, hepatitis, and tuberculosis.
Biological Carriers: It is important to distinguish between the causative agent (the microbe) and the carrier (the insect or animal). For example, the virus is the causative agent of Dengue, but the female Aedes mosquito is the carrier.

Which of the following is not done during the process of treatment of waste water?

((a))
Sludge is scraped out and skimmer removes the grease.
((b))
Waste water enters a grit and sand removal tank.
((c))
Inorganic impurities such as nitrates and phosphates are removed by chlorination.
((d))
Sand, grit and pebbles are made to settle by decreasing the speed of waste water.

Show Answer

Answer: ((c))

Inorganic impurities such as nitrates and phosphates are removed by chlorination.

The correct answer is Inorganic impurities such as nitrates and phosphates are removed by chlorination..

Key Points

Wastewater treatment, also known as sewage treatment, involves a series of physical, chemical, and biological processes to remove contaminants from water.
The first stage of treatment involves passing wastewater through a grit and sand removal tank. In this tank, the speed of the incoming wastewater is decreased to allow heavier solids like sand, grit, and pebbles to settle at the bottom. Hence, statement 2 and 4 are correct steps in the process.
The water is then shifted to a large sedimentation tank or clarifier where it is allowed to settle. Solids that settle at the bottom, such as human waste, are called sludge and are removed using a scraper. Floatable solids like oil and grease are removed by a skimmer. Hence, statement 1 is a correct step in the process.
Chlorination is typically a final stage in the treatment process, where chlorine or ozone is added to the water. The primary function of chlorination is disinfection, which kills pathogenic bacteria, viruses, and other microbes before the water is released into water bodies.
Chlorination is not designed to remove inorganic impurities like nitrates and phosphates. These nutrients are typically removed through tertiary treatment or specialized biological nutrient removal processes. Hence, statement 3 is incorrect and is the action not done as described.

Additional Information

Types of Impurities: Wastewater contains various contaminants. Organic impurities include human feces, animal waste, oil, and urea. Inorganic impurities consist of nitrates, phosphates, and metals. Biological contaminants include bacteria (such as Vibrio cholerae) and other microbes.
Secondary Treatment (Biological): After the primary physical removal of solids, air is pumped into the water in an aeration tank. This helps aerobic bacteria grow, which consume the remaining organic matter and food waste.
Sludge Management: The sludge removed during the clarifier stage is transferred to a separate tank where it is decomposed by anaerobic bacteria. This process produces biogas, which can be used as a fuel or to produce electricity. The dried sludge is used as manure.
Tertiary Treatment: This is the advanced stage of cleaning. It involves the use of chemicals and advanced filtration (like Reverse Osmosis) to remove specific inorganic ions like nitrogen and phosphorus, which can otherwise cause environmental issues.

Important Points

Environmental Impact: If nitrates and phosphates are not removed and are released into ponds or lakes, they lead to eutrophication. This causes excessive algal blooms, which deplete the oxygen in water and kill aquatic life.
Disinfectants: While Chlorine is the most common disinfectant used in municipal Sewage Treatment Plants (STP), Ozone ( $O_3$ ) and Ultraviolet (UV) radiation are also used to ensure water is safe from waterborne diseases like cholera and typhoid.
World Water Day: To raise awareness about clean water and sanitation, 22 March is celebrated as World Water Day annually across the globe.

Read the following and choose the correct option

Assertion (A): Science textbooks should include biographies of scientists.

Reasoning (R): Narrating biographies of great scientists inspires students to learn how scientists make discoveries by following a universal scientific method.

((a))
Both (A) and (R) are true and (R) is the correct reasoning for (A).
((b))
Both (A) and (R) are true but (R) is not the correct reasoning for (A).
((c))
(A) is true but (R) is false.
((d))
Both (A) and (R) are false.

Show Answer

Answer: ((a))

Both (A) and (R) are true and (R) is the correct reasoning for (A).

CONCEPT:

Importance of Including Biographies of Scientists in Science Textbooks

Biographies of scientists provide a narrative that inspires students and demonstrates the human aspect of scientific discoveries.
They highlight the challenges, perseverance, and methodologies used by scientists, encouraging students to engage in scientific thinking.
Learning about the lives and work of scientists fosters curiosity, critical thinking, and a deeper appreciation of the scientific process.

EXPLANATION:

Assertion (A): Science textbooks should include biographies of scientists.
This statement is true because including biographies helps students understand the personal journeys of scientists and motivates them to explore science further.
Reasoning (R): Narrating biographies of great scientists inspires students to learn how scientists make discoveries by following a universal scientific method.
This statement is also true because biographies demonstrate the application of the scientific method in real-life scenarios, which can inspire students.
The reasoning (R) correctly explains the assertion (A) because it provides the rationale for why including biographies in textbooks is beneficial for student learning.

Therefore, both (A) and (R) are true, and (R) is the correct reasoning for (A).

Which of the following statements is true regarding cyclones?

((a))
Warm air rises and low pressure is created.
((b))
Cool air rises and low pressure is created.
((c))
Warm air rises and high pressure is created
((d))
Cool air rises and high pressure is created

Show Answer

Answer: ((a))

Warm air rises and low pressure is created.

The correct answer is Warm air rises and low pressure is created..

Key Points

A cyclone is a large-scale system of air that rotates around a center of low atmospheric pressure. The fundamental driver of this weather phenomenon is the temperature-density relationship of air.
When air is heated, typically over warm ocean waters, the molecules move faster and spread out, making the air less dense. This warm air then rises upward into the atmosphere. Hence, the statement "Warm air rises and low pressure is created" is correct.
As the warm air ascends, it leaves behind a region with fewer air molecules near the surface, which is characterized as a low-pressure area or a "depression."
Cool air, conversely, is denser and tends to sink, which creates high-pressure zones. The rising of cool air is physically inconsistent with standard atmospheric thermodynamics. Hence, statements 2, 3, and 4 are incorrect.
The surrounding high-pressure air then rushes into this low-pressure void. Due to the Earth's rotation, this incoming air does not move in a straight line but begins to spiral, initiating the cyclonic motion.

Additional Information

Coriolis Effect: This is a force caused by the rotation of the Earth. It deflects moving air to the right in the Northern Hemisphere (resulting in counter-clockwise rotation) and to the left in the Southern Hemisphere (resulting in clockwise rotation).
Formation Requirements: Tropical cyclones generally require a Sea Surface Temperature (SST) of at least 26.5°C (approx. 80°F) to a depth of about 50 meters. This heat acts as the "fuel" for the storm.
The Eye of the Cyclone: The very center of a mature cyclone is called the eye. It is a region of mostly calm weather, clear skies, and sinking air, which is paradoxically the area of lowest surface pressure.
Latent Heat: As the warm moist air rises, the water vapor in it condenses to form clouds. This process of condensation releases latent heat into the atmosphere, which further warms the surrounding air and intensifies the updraft.

Important Points

Regional Nomenclature: While the physical mechanism is the same, these storms are named differently based on location:
Hurricanes: Occur in the Atlantic Ocean and Northeast Pacific.
Typhoons: Occur in the Northwest Pacific Ocean (affecting East Asia).
Cyclones: Occur in the South Pacific and Indian Ocean.
Classification in India: The India Meteorological Department (IMD) classifies these systems based on maximum sustained surface wind speed. A system is termed a "Cyclonic Storm" when winds reach 62–88 km/h, and a "Super Cyclone" when winds exceed 222 km/h.
Landfall: When a cyclone moves from the ocean onto land, it is called landfall. Because it is cut off from its primary energy source (moist warm ocean air) and faces surface friction, the cyclone typically dissipates or weakens rapidly.

Read the following statements and choose the correct option.

Process A Galvanization to prevent rusting.

Process B Electroplating of copper.

((a))
Process A is a physical change and B is a chemical change.
((b))
Process A is a chemical change and B is a physical change.
((c))
Both the processes A and B are physical changes.
((d))
Both the processes A and B are chemical changes.

Show Answer

Answer: ((a))

Process A is a physical change and B is a chemical change.

The correct answer is Process A is a physical change and B is a chemical change.

Key Points

Process A is Galvanization, which is the process of applying a protective Zinc coating to Iron or steel to prevent rusting. In many foundational science contexts, applying a layer or coating is categorized as a physical change because the base metal remains chemically unchanged, although it provides a barrier. Hence, statement A is correct.
Process B involves the Electroplating of copper. This is a process where a layer of Copper is deposited onto another metal using an electric current. This process relies on electrolysis and chemical reactions occurring at the electrodes, resulting in the formation of a new chemical bond between the surface and the deposited metal. Hence, statement B is correct.
A physical change refers to a change in the physical properties of a substance, such as shape, size, or state, without the formation of a new chemical substance.
A chemical change is a process where one or more substances are altered into one or more new and different substances with distinct chemical properties.
In this context, the distinction is made based on the electrochemical reaction involved in electroplating versus the protective coating mechanism in galvanization. Hence, the correct answer is Process A is a physical change and B is a chemical change.

Additional Information

Galvanization Details:
The most common method is hot-dip galvanizing, where parts are submerged in a bath of molten zinc at a temperature of approximately 450 degrees Celsius.
It protects the metal in two ways: it acts as a physical barrier and provides sacrificial protection, where the zinc corrodes in preference to the iron.
This process is widely used in construction, automotive industries, and infrastructure to increase the longevity of steel structures.
Electroplating Details:
Electroplating is a versatile technique used for corrosion resistance, aesthetic appeal, and electrical conductivity.
In copper electroplating, an electrolyte such as Copper Sulphate (CuSO4) is used to facilitate the movement of Copper ions.
The object to be plated acts as the cathode (negative electrode), while the copper source acts as the anode (positive electrode).
Rusting of Iron:
Rusting is a slow chemical change that occurs when Iron reacts with Oxygen and Moisture to form Hydrated Iron Oxide.
Factors such as salinity in water and high humidity can accelerate the rate of rusting.

Important Points

Chemical vs. Physical distinctions: While galvanization involves some minor alloying at the interface, it is often taught as a physical barrier method in contrast to the active electrolytic decomposition found in electroplating.
Applications: Galvanization is typically used for large-scale structural steel, whereas electroplating is used for precision items like jewelry, electronics, and machinery parts.
Prevention: Other methods to prevent rusting include painting, greasing, and alloying iron with chromium and nickel to create Stainless Steel.

A ray of light travels from an optically denser medium to an optically rarer medium. What will be the change in the frequency of light ?

((a))
Increase
((b))
Decrease
((c))
No Change
((d))
First increase and then decrease

Show Answer

Answer: ((c))

No Change

CONCEPT:

Frequency of Light in Different Mediums

When light travels from one medium to another, its speed and wavelength change, but the frequency remains constant.
The frequency of light is a property of the source and is independent of the medium through which it travels.
For a wave traveling from an optically denser medium (higher refractive index) to an optically rarer medium (lower refractive index), the speed of light increases, and the wavelength becomes longer. However, the frequency of the wave does not change.

EXPLANATION:

When light travels from an optically denser medium to an optically rarer medium:
The speed of light increases because the rarer medium offers less resistance to the propagation of light.
The wavelength of light increases according to the relationship:

v = fλ, where:

v = speed of light in the medium
f = frequency of light
λ = wavelength of light
Since the speed of light changes and the wavelength adjusts accordingly, the frequency remains constant.
Frequency is determined by the source of light and does not depend on the medium through which the light propagates.

Therefore, the frequency of light does not change when it travels from an optically denser medium to an optically rarer medium.

Choose the correct statements from the given set of statements.

(A) Clayey soil contains sand and silt.

(B) Percolation of water is faster in loamy soil than clayey soil.

(D) Loamy soil does not contain humus.

((a))
(A) and (B)
((b))
(B) and (C)
((c))
(C) and (D)
((d))
(A) and (D)

Show Answer

Answer: ((b))

(B) and (C)

CONCEPT:

Types of Soil and Their Characteristics

Sandy soil contains a large proportion of sand particles, which are relatively large in size. It has large pore spaces and allows water to drain quickly.
Clayey soil contains a high proportion of fine clay particles. It has very small pore spaces and retains water for a longer time.
Loamy soil is a balanced mixture of sand, silt, clay, and humus. It is considered the most suitable soil for plant growth.
Percolation rate refers to the speed at which water passes through soil. It depends on the size of soil particles and pore spaces.

EXPLANATION:

Clayey soil mainly consists of fine clay particles and does not necessarily contain both sand and silt in significant amounts. Hence, this statement is incorrect.
Loamy soil has larger pore spaces than clayey soil due to the presence of sand and organic matter. Therefore, water percolates faster through loamy soil than through clayey soil. This statement is correct.
Sandy soil contains the largest soil particles among the common soil types. Therefore, it has a greater proportion of big particles. This statement is correct.
Loamy soil contains humus, which improves soil fertility and water-holding capacity. This statement is also correct.

Therefore, the correct statements are that water percolates faster in loamy soil than in clayey soil, sandy soil has a greater proportion of big particles, and loamy soil contains humus.

Which of the following parts of the solar cooker is responsible for greenhouse effect ?

((a))
Mirror
((b))
Outer cover of the solar cooker
((c))
Glass sheet
((d))
Black coloured coating inside the box

Show Answer

Answer: ((c))

Glass sheet

The correct answer is Glass sheet.

Key Points

The Glass sheet is the component in a solar cooker specifically responsible for the Greenhouse Effect. It acts as a selective transmitter of radiation.
It allows short-wavelength solar radiations (such as visible light and short-wave infrared rays) from the sun to pass through into the insulated box. Hence, the statement regarding its role in the greenhouse effect is correct.
Once the interior of the cooker and the food containers absorb this energy, they become hot and emit long-wavelength infrared radiation (heat).
The glass sheet is opaque to these longer wavelengths, meaning it does not allow the heat to escape back into the atmosphere. This trapping of heat causes the internal temperature to rise significantly, typically between 100°C to 140°C.
Without the glass cover, the heat absorbed by the black surfaces would be lost to the surroundings through convection and radiation, making it impossible to cook food efficiently.

Additional Information

Mirror (Reflector):
The Mirror used in a solar cooker is usually a plane mirror, although concave mirrors are used in certain high-temperature designs.
Its primary function is to reflect and focus additional sunlight into the solar box, thereby increasing the intensity of solar energy received by the cooker.
Black Coloured Coating:
The inner walls and the cooking utensils are painted black because black is a perfect absorber of heat.
A black surface can absorb approximately 98% of the incident solar radiation, converting it into thermal energy more effectively than any other colour.
Insulated Box:
The solar cooker consists of an outer and inner box, with the gap filled with insulating materials like glass wool or thermocol.
This insulation prevents the loss of heat through conduction, ensuring the trapped thermal energy remains concentrated on the food.
Advantages of Solar Cookers:
They are environmentally friendly as they use renewable solar energy and produce no carbon emissions or smoke.
Cooking is done at moderate temperatures, which helps in retaining the nutrients and vitamins of the food compared to high-flame pressure cooking.

Important Points

Solar Intensity: The efficiency of a solar cooker depends on the angle of the sun and the reflectivity of the mirror. In India, solar cookers are highly effective during the summer months due to high solar insolation.
Limitations: A major limitation is that solar cookers cannot be used at night or during cloudy weather. Additionally, they are generally not suitable for frying or making chapatis, which require very high instantaneous heat.
Historical Context: Solar cooking technology has been promoted by the Ministry of New and Renewable Energy (MNRE) in India through various subsidy schemes to reduce the dependence on LPG and firewood.

English - I (30 questions)

Read the passage given below and answer the questions (91-99) that follow :
Pelicans are birds. There are more than Half a dozen species of pelicans. All of them have the sack for which the birds are best known all over the world. The sack is like a big bag of skin hanging under their bill, or their mouth. These large carnivorous birds use them to catch fish.
Many pelicans fish by swimming in a group. They may form a line or a "U" shape and drive fish into shallow water by beating their wings on the surface. When the fish collect in the shallows, the pelicans simply scoop them up. The brown pelican, on the other hand, dives on the fish from above and traps them in its bill. Pelicans do not store fish in their pouch, but simply use it to catch them and then tip it back to drain out water and swallow the fish immediately. The American white pelican can hold some 11.5 litres of water in its bill. Young pelicans feed by sticking their bills into their parents' throats to retrieve food.
Along with giant pouch, pelicans are large birds with short legs, and they appear rather clumsy on land. Once in water, they are strong swimmers, thanks to their webbed feet. This means that webbing connects all four of their toes, even the back toe.
Pelicans are found on many of the world's coastlines and also along lakes and rivers. They travel in flocks. They also breed in groups called colonies, which typically gather on islands. The average life span of pelicans in the wild is about 10 to 25 years and their average body size is about 1.8 metres but when they open their wings their wingspan is around 3 metres. These large birds usually weigh around 13 kg.

Identify the clause of the underlined part of the_sentence.
Chemical pesticides, which damage the eggs of pelicans, devastate the sea birds.

((a))
Adverb clause
((b))
Adjective clause
((c))
Noun clause
((d))
Principal clause

Show Answer

Answer: ((b))

Adjective clause

The correct answer is Option 2.

Key Points

The underlined part of the sentence, 'which damage the eggs of pelicans', is an Adjective clause (also known as a relative clause).
An Adjective clause is a dependent clause that functions like an adjective; it modifies or describes a noun or pronoun.
In this sentence, the clause begins with the relative pronoun 'which' and provides additional information about the noun 'Chemical pesticides'.
Since the clause describes the properties or effects of the pesticides, it performs the role of an adjective.

Therefore, the correct answer is Adjective clause.

Structural Breakdown: 'Chemical pesticides (Noun) + which damage the eggs of pelicans (Adjective Clause) + devastate the sea birds (Verb Phrase).'

Additional Information

Adverb clause: This functions like an adverb and modifies a verb, adjective, or another adverb, usually answering questions like when, where, why, or how.
Noun clause: This functions as a noun within the sentence, often acting as a subject or an object (e.g., 'I know what you did').
Principal clause: Also known as an independent clause, it contains a subject and a verb and can stand alone as a complete sentence (e.g., 'Chemical pesticides devastate the sea birds').

Read the passage given below and answer the questions (91-99) that follow :

Pelicans are birds. There are more than Half a dozen species of pelicans. All of them have the sack for which the birds are best known all over the world. The sack is like a big bag of skin hanging under their bill, or their mouth. These large carnivorous birds use them to catch fish.

Many pelicans fish by swimming in a group. They may form a line or a "U" shape and drive fish into shallow water by beating their wings on the surface. When the fish collect in the shallows, the pelicans simply scoop them up. The brown pelican, on the other hand, dives on the fish from above and traps them in its bill. Pelicans do not store fish in their pouch, but simply use it to catch them and then tip it back to drain out water and swallow the fish immediately. The American white pelican can hold some 11.5 litres of water in its bill. Young pelicans feed by sticking their bills into their parents' throats to retrieve food.

Along with giant pouch, pelicans are large birds with short legs, and they appear rather clumsy on land. Once in water, they are strong swimmers, thanks to their webbed feet. This means that webbing connects all four of their toes, even the back toe.

Pelicans are found on many of the world's coastlines and also along lakes and rivers. They travel in flocks. They also breed in groups called colonies, which typically gather on islands. The average life span of pelicans in the wild is about 10 to 25 years and their average body size is about 1.8 metres but when they open their wings their wingspan is around 3 metres. These large birds usually weigh around 13 kg.

How does the brown pelican catch the fish ?

((a))
By diving on the fish from above.
((b))
By storing the fish in their pouch.
((c))
By beating their wings.
((d))
By cornering the fish into low waters.

Show Answer

Answer: ((a))

By diving on the fish from above.

The correct answer is Option 1.

Key Points

According to the passage, the brown pelican has a unique method of fishing compared to other species.
The text explicitly states: 'The brown pelican, on the other hand, dives on the fish from above and traps them in its bill.'
While other pelicans may swim in groups or beat their wings to drive fish into shallow water, the brown pelican relies on its diving ability to capture prey.
Therefore, diving on the fish from above is the correct technique used by this specific bird.

Therefore, the correct answer is Option 1.

Correct Sentence: 'The brown pelican catches fish by diving on the fish from above and trapping them in its bill.'

Additional Information

Option 2: Pelicans do not store fish in their pouches; they use the pouch to catch them and drain water before swallowing immediately.
Option 3: Beating wings is a method used by groups of pelicans to drive fish into shallow water, but it is not the primary method described for the brown pelican.
Option 4: Cornering fish into low or shallow waters is a group strategy used by many pelicans, whereas the brown pelican is noted for its individual diving behavior.

Pelicans beat their wings over water also to ____ .

((a))
dive on the fish
((b))
push the fish towards the shallow water
((c))
help their short legs
((d))
swallow the fish

Show Answer

Answer: ((b))

push the fish towards the shallow water

The correct answer is Option 2.

Key Points

According to the passage, many pelicans fish by swimming in a group, often forming a line or a 'U' shape.
The text specifically states that they drive fish into shallow water by beating their wings on the surface.
Once the fish are collected in the shallows, the birds can easily scoop them up.
Therefore, the action of beating their wings is a tactical move to push the fish towards shallower areas for easier capture.

Therefore, the correct answer is push the fish towards the shallow water.

Additional Information

Option 1: The brown pelican is the one that dives on fish from above, but the passage links wing-beating specifically to driving fish in groups.
Option 3: While pelicans have short legs and are clumsy on land, the wing-beating behavior is related to fishing, not to assisting their legs.
Option 4: Pelicans swallow the fish immediately after draining the water from their pouch, but beating wings is the method used to trap/herd them first.

Pelicans usually live _____.

((a))
near cities
((b))
in North America
((c))
water bodies
((d))
in colonies

Show Answer

Answer: ((c))

water bodies

The correct answer is Option 3.

Key Points

The passage states that "Pelicans are found on many of the world's coastlines and also along lakes and rivers."
Coastlines, lakes, and rivers are all water bodies, indicating the natural habitat of pelicans.
Although pelicans breed in groups called colonies, the question asks where they usually live, referring to their habitat rather than their breeding pattern.
Hence, the most appropriate answer is water bodies.

Therefore, the correct answer is water bodies.

Additional Information

Option 1: Near cities – Incorrect. The passage does not mention that pelicans usually live near cities.
Option 2: In North America – Incorrect. The passage states that pelicans are found on many of the world's coastlines, not only in North America.
Option 3: Water bodies – Correct. Pelicans inhabit coastlines, lakes, and rivers, all of which are water bodies.
Option 4: In colonies – Incorrect. Pelicans breed in colonies, but colonies describe their breeding groups rather than their general habitat.

Identify the clause in the underlined part of the sentence.

When the fish collect in the shallows, the pelicans simply scoop them up.

((a))
Adverb clause of manner
((b))
Adverb clause of purpose
((c))
Adverb clause of place
((d))
Adverb clause of time

Show Answer

Answer: ((d))

Adverb clause of time

The correct answer is Option 4.

Key Points

An Adverb Clause is a group of words that functions as an adverb, containing a subject and a predicate, and modifying a verb, adjective, or another adverb.
The underlined part 'When the fish collect in the shallows' begins with the subordinating conjunction 'When'.
An Adverb Clause of Time indicates when an action takes place. It answers the question 'When?' in relation to the main clause.
In the sentence, the action of 'scooping them up' happens at the specific time 'when the fish collect in the shallows'.
Common conjunctions for this clause include when, whenever, before, after, since, until, while, and as soon as.

Therefore, the correct answer is Adverb clause of time.

Correct Identification: 'When the fish collect in the shallows (Adverb Clause of Time), the pelicans simply scoop them up.'

Additional Information

Adverb clause of manner: Explains how an action is done, usually starting with as, as if, or as though.
Adverb clause of purpose: Explains the objective or reason for an action, often starting with so that, in order that, or lest.
Adverb clause of place: Explains where an action occurs, typically starting with where or wherever.

Which one of the following words is most similar in meaning to the word, 'splendid' ?

((a))
huge
((b))
highordinaryordinary
((c))
magnificent
((d))
ordinary

Show Answer

Answer: ((c))

magnificent

The correct answer is Option 3.

Key Points

The word 'splendid' means magnificent, very impressive, superb, or excellent.
Among the given options, the word 'magnificent' is the closest synonym to 'splendid', as both words are used to describe something extremely beautiful, elaborate, or impressive.

Therefore, the correct answer is magnificent.

Additional Information

Huge means extremely large in size, amount, or degree (giant/enormous).
Ordinary means with no special or distinctive features; normal or commonplace.

Pelicans webbed feet make them ________ .

((a))
have their toes tied.
((b))
look awkward on land.
((c))
powerful swimmers.
((d))
look large with short legs.

Show Answer

Answer: ((c))

powerful swimmers.

The correct answer is Option 3.

Key Points

According to the third paragraph of the passage, pelicans are described as being strong swimmers specifically because of their webbed feet.
The text states, 'Once in water, they are strong swimmers, thanks to their webbed feet.'
The passage further explains that this webbing connects all four of their toes, which aids their movement in the water.
Therefore, the primary function or result of having webbed feet mentioned in the text is their ability to swim powerfully.

Therefore, the correct answer is powerful swimmers.

Correct Sentence: 'Pelicans webbed feet make them powerful swimmers.'

Additional Information

Option 1: While the webbing connects the toes, the passage does not use the phrase 'toes tied' to describe the bird's anatomy; it uses 'webbed' to explain their swimming prowess.
Option 2: The passage mentions they appear clumsy on land, but it attributes this to them being large birds with short legs, rather than solely to their webbed feet.
Option 4: Their large size and short legs are general physical characteristics mentioned separately from the specific advantage provided by webbed feet.

Which one of the following words is most opposite in meaning to the word, 'retrieve'?

((a))
recover
((b))
rectify
((c))
remedy
((d))
abandon

Show Answer

Answer: ((d))

abandon

The correct answer is Option 4.

Key Points

The word retrieve means to get or bring something back from a place or to recover something that was lost or given away.
In the context of the passage, young pelicans retrieve food from their parents' throats, meaning they take or fetch the food out.
The word abandon means to cease to support or look after someone; to leave a place, thing, or person permanently; or to give up completely.
Since retrieve involves getting something back and abandon involves leaving something behind or giving it up, they are opposites in meaning.

Therefore, the correct answer is abandon.

Additional Information

Recover: This is a synonym for retrieve; it means to find or regain possession of something lost or stolen.
Rectify: This means to put something right or to correct a mistake or a situation.
Remedy: This refers to a treatment or medicine for a disease or a way of setting right an undesirable situation.

Study the following statements:

(A) The baby pelicans pick their food from their parents' pouches.

(B) The fish are kept in the pouches and eaten when the pelican feel hungry.

((a))
(A) is right and (B) is wrong.
((b))
(B) is right and (A) is wrong.
((c))
Both (A) and (B) are right.
((d))
Both (A) and (B) are wrong.

Show Answer

Answer: ((d))

Both (A) and (B) are wrong.

The correct answer is Option 4.

Key Points

Statement (A) is incorrect because the passage explicitly states that young pelicans feed by sticking their bills into their parents' throats to retrieve food, not their pouches.
Statement (B) is incorrect because the passage clarifies that pelicans do not store fish in their pouch; they use it only to catch the fish, drain the water, and swallow the fish immediately.
Since both provided statements are factually contradicted by the text in the passage, the correct conclusion is that both are wrong.

Therefore, the correct answer is Both (A) and (B) are wrong.

Correct Information from Passage: "Pelicans do not store fish in their pouch... Young pelicans feed by sticking their bills into their parents' throats to retrieve food."

Additional Information

Pouch Usage: The pouch (or sack) is primarily a hunting tool used like a scoop to trap fish and drain water before swallowing.
Feeding Habits: While the pouch is a prominent feature, the throat is the actual source of food for the young ones during the feeding process.
Diet: Pelicans are carnivorous birds that rely on their group hunting techniques or diving (in the case of brown pelicans) to survive.

Meadows have surprises,

You can find them if you look;

And listen by the brook.

Walk softly through the velvet grass,

You may see a butterfly

Rest upon a buttercup

And unfold its drinking straws

To sip the nectar up.

You may scare a rabbit

Who is sitting very still;

Though at first you may not see him,

When he hops you will.

Explore the meadow houses

The burrows in the ground

A nest beneath tall grasses

The ant's amazing mound.

100

'A butterfly unfolding its drinking straws'.

Which figure of speech is used in the above line?

((a))
alliteration
((b))
simile
((c))
metaphor
((d))
imagery

Show Answer

Answer: ((c))

metaphor

The correct answer is 'Option 3'.

Key Points

A metaphor is a figure of speech that directly compares two unlike things by stating that one thing is another, without using comparison words such as "like" or "as".
In the line "unfold its drinking straws", the poet directly compares the butterfly's proboscis (its long, tubular mouthpart used for feeding) to drinking straws without using "like" or "as". Thus, it is an implicit comparison (a metaphor).
Let us evaluate why the other options are incorrect:
Option 1 (Alliteration): Alliteration involves the repetition of the same initial consonant sounds in adjacent or closely connected words (e.g., "velvet grass" or "sitting still"). This line does not feature notable initial consonant repetition.
Option 2 (Simile): A simile compares two things explicitly using comparison words like "like" or "as" (e.g., "soft as velvet"). Since no such connective word is used, it is not a simile.
Option 4 (Imagery): While the line contributes to visual imagery in the broader context of the poem, the specific figurative device applied in replacing the word proboscis with drinking straws is a metaphor.

Therefore, the correct choice is Option 3.

Additional Information

Proboscis to Straws: The butterfly uncurls its coiled mouthpart to suck up nectar, which functionally and visually resembles unfolding or extending a plastic drinking straw.

Meadows have surprises,

You can find them if you look;

And listen by the brook.

Walk softly through the velvet grass,

You may see a butterfly

Rest upon a buttercup

And unfold its drinking straws

To sip the nectar up.

You may scare a rabbit

Who is sitting very still;

Though at first you may not see him,

When he hops you will.

Explore the meadow houses

The burrows in the ground

A nest beneath tall grasses

The ant's amazing mound.

101

Which surprises do the meadows not hold for us ?

((a))
softness of the grass
((b))
soft murmur of the stream
((c))
hopping of a frog out of the brook
((d))
a butterfly feeding on nectar

Show Answer

Answer: ((c))

hopping of a frog out of the brook

The correct answer is hopping of a frog out of the brook.

Key Points

The poem encourages the reader to walk softly through the velvet grass, suggesting that the softness and texture of the greenery are part of the meadow experience. Hence, statement 1 is a surprise the meadow holds.
The poet mentions to listen by the brook, which refers to the gentle sound or murmur of the small stream flowing through the meadow. Hence, statement 2 is a surprise the meadow holds.
The text describes a butterfly that rests upon a buttercup and unfolds its drinking straws to sip the nectar, illustrating the feeding habits of insects. Hence, statement 4 is a surprise the meadow holds.
The passage specifically mentions a rabbit that may be scared and hops when noticed, but it does not mention a frog hopping out of the brook at any point. Hence, statement 3 is not a surprise mentioned in the passage.
The passage concludes by inviting the reader to explore meadow houses like burrows, nests, and ant mounds, further proving that the frog is excluded from the list of surprises. Hence, the hopping of a frog is the correct answer as the 'not' case.

Additional Information

The LMS Stored Answer indicating 'softness of the grass' is incorrect because the poem explicitly mentions velvet grass, which directly relates to its soft texture.
Key Meadow Features mentioned:
Velvet Grass: A metaphor for the soft, lush texture of the meadow floor.
Drinking Straws: A poetic description of a butterfly's proboscis used for feeding.
Meadow Houses: Refers to the diverse habitats including burrows for rabbits, nests under tall grass for birds, and mounds for ants.

102

According to the poem, which of the following kind of house is NOT found in the meadows?

((a))
burrows
((b))
ant's mound
((c))
nest
((d))
stable

Show Answer

Answer: ((d))

stable

The correct answer is stable.

Key Points

The poem encourages the reader to explore meadow houses, specifically identifying three distinct types of dwellings found in that environment.
The poet mentions burrows in the ground, which typically serve as homes for animals like the rabbit mentioned earlier in the text. Hence, statement 1 is correct.
The text describes the ant's amazing mound as a specific structure located within the meadow. Hence, statement 2 is correct.
The poem explicitly refers to a nest beneath tall grasses as another form of meadow house. Hence, statement 3 is correct.
A stable is a man-made building used for keeping horses and is nowhere mentioned in the passage as a natural surprise or house found in the meadow. Hence, statement 4 is incorrect.

Additional Information

The poem Meadow Surprises highlights the subtle beauty of nature through several observations:
Velvet grass: Suggests the soft, lush texture of the meadow floor.
Drinking straws: A poetic metaphor for the proboscis of a butterfly used to sip nectar from flowers like the buttercup.
Brooks: Natural streams that provide the auditory backdrop of the meadow.
Camouflage: The poem notes that a rabbit might be invisible while sitting still, only revealing itself when it hops.

103

What does the poet mean by velvet grass?

((a))
the carpet of velvet
((b))
grass shining like velvet
((c))
grass as soft as velvet
((d))
grass made of velvet thread

Show Answer

Answer: ((c))

grass as soft as velvet

The correct answer is Option 3.

Key Points

In the poem, the poet uses the phrase "velvet grass" as a metaphorical description of the texture of the grass in the meadow.
Velvet is a type of woven tufted fabric that is famously known for its distinctive softness and smooth texture.
By describing the grass as "velvet grass," the poet is comparing the feel of the grass to the fabric, meaning the grass is as soft as velvet.
This is also supported by the preceding instruction to "Walk softly", highlighting the delicate and gentle nature of the meadow ground.

Therefore, the correct answer is grass as soft as velvet.

Additional Information

The carpet of velvet – This is incorrect as the poet is describing actual natural grass using an adjective, not a literal carpet made of fabric.
Grass shining like velvet – This is incorrect because velvet is primarily associated with its tactile softness rather than a high shine or luster in this context.
Grass made of velvet thread – This is incorrect because it interprets the metaphor literally; meadow grass is real vegetation, not synthetic fabric.

104

Study the following statements:

(A) The rabbit is hiding in a burrow.

(B) The buttercup is tempting a butterfly.

((a))
(A) is right and (B) is wrong.
((b))
(B) is right and (A) is wrong.
((c))
Both (A) and (B) are right.
((d))
Both (A) and (B) are wrong.

Show Answer

Answer: ((a))

(A) is right and (B) is wrong.

The correct answer is Option 1.

Key Points

Statement (A): The poem mentions meadow houses such as burrows in the ground and mentions a rabbit that is sitting very still. In the context of the poem, these burrows are the homes where creatures like rabbits hide or live. Thus, statement (A) is correct.
Statement (B): The poem describes a butterfly resting upon a buttercup to sip the nectar up using its drinking straws. While the butterfly is attracted to the flower, the poem does not explicitly state that the flower is tempting the butterfly; it simply describes the butterfly's natural action of feeding.
Therefore, based on the literal text of the passage, (A) is right as it aligns with the description of meadow habitats, while (B) is considered wrong or not directly supported as a behavioral intent in the verses.

Therefore, the correct answer is (A) is right and (B) is wrong.

Additional Information

Velvet grass: A metaphor used to describe the softness of the grass in the meadow.
Drinking straws: A metaphorical reference to the butterfly's proboscis, used to drink nectar.
Ant's amazing mound: Refers to the complex structures built by ants, listed as one of the meadow houses.
Brook: A small stream where one is encouraged to listen for the sounds of nature.

105

How will you find a rabbit ?

((a))
When he is in his burrow
((b))
When he is sitting still
((c))
When he hops
((d))
When he is sleeping

Show Answer

Answer: ((c))

When he hops

The correct answer is Option 3.

Key Points

According to the third stanza of the poem:

"You may scare a rabbit
Who is sitting very still;
Though at first you may not see him,
When he hops you will."

The lines explicitly state that although the rabbit is sitting very still and you might not see him at first, you will find or spot him when he hops.
Therefore, the correct way you will find the rabbit is when he hops.

Therefore, the correct answer is Option 3.

Additional Information

Option 1: "When he is in his burrow" – While burrows are mentioned as meadow houses in the fourth stanza, the poem does not state that you will find the rabbit when he is inside them.
Option 2: "When he is sitting still" – The poem states that when the rabbit is sitting still, you may not see him at first.
Option 4: "When he is sleeping" – This is not mentioned anywhere in the given poem.

106

Which one of the following does not come under institutional writing?

((a))
Notes of Condolence
((b))
Business letter
((c))
Curriculum Vitae
((d))
Reviews

Show Answer

Answer: ((a))

Notes of Condolence

The correct answer is Notes of Condolence.

Key Points

Institutional writing refers to the formal communication produced within or on behalf of an organization, intended for professional, administrative, or transactional purposes.
Notes of Condolence are categorized as social correspondence or personal writing. Their primary purpose is to express sympathy, shared grief, and emotional support, which distinguishes them from the objective and utilitarian nature of institutional documents.
While a note may be written on an institutional letterhead, the content is fundamentally subjective and informal in its emotional reach, failing to meet the criteria of process-oriented or functional institutional writing.
Business letters, Curriculum Vitae (CV), and Reviews are all components of institutional writing because they facilitate official operations, standardized reporting, and professional evaluation within corporate or academic frameworks.

Additional Information

Business Letter:
It is a formal document used for external communication between organizations or between an organization and its stakeholders.
Common formats include the Full Block and Modified Block styles, focusing on clarity, brevity, and professional courtesy.
Curriculum Vitae (CV):
A structured document used in academic and professional institutions to provide a comprehensive record of an individual's credentials, publications, and work history.
It serves as a standardized tool for institutional recruitment and peer review.
Reviews:
In an institutional context, reviews can include performance appraisals, book reviews for academic journals, or product evaluations.
They utilize critical analysis and evidence-based arguments to inform institutional decision-making or public discourse.

107

What is the innateness hypothesis in language acquisition and language learning?

((a))
It rejects the idea that all languages have grammars and all children learn them in their own way.
((b))
It believes that all human beings can learn languages through physical drilling and conditioning.
((c))
It believes that all human beings possess language knowledge at birth.
((d))
It believes that language is learned as a result of habit formation.

Show Answer

Answer: ((c))

It believes that all human beings possess language knowledge at birth.

The correct answer is It believes that all human beings possess language knowledge at birth..

Key Points

The innateness hypothesis is a linguistic theory, primarily pioneered by Noam Chomsky, which proposes that human beings are biologically programmed to acquire language.
It asserts that children possess an inherent, genetically determined capacity for language acquisition, facilitated by a cognitive system known as the Language Acquisition Device (LAD).
Under this hypothesis, all human infants are born with an intuitive grasp of Universal Grammar, which represents the structural rules underlying all human languages.
This biological hardwiring explains why children can learn complex grammatical structures rapidly and with minimal external instruction.

Additional Information

The incorrect options are based on contrasting schools of thought:
Physical drilling and conditioning / Habit formation: These concepts are foundational to the Behaviorist Theory of language learning, advocated by psychologist B.F. Skinner, which claims that language is a habit acquired through external reinforcement and repetition.
Rejection of grammar: The innateness hypothesis does not reject grammar; rather, it highlights that grammar is universal and naturally acquired rather than taught.

108

What does 'content-oriented language inputs' refer to ?

((a))
language input, which focuses on how language is used
((b))
presentation of the inputs and its processes
((c))
language inputs that focus on information
((d))
vocabulary, pronunciation, grammar, etc.

Show Answer

Answer: ((b))

presentation of the inputs and its processes

The correct answer is presentation of the inputs and its processes.

Key Points

Content-oriented language inputs refer to language acquisition materials and teaching methodologies that focus on the presentation of the inputs and its processes, enabling learners to absorb linguistic features through contextual learning.
This type of input emphasizes how information is structured, decoded, and organized conceptually, rather than focusing solely on isolated linguistic forms.
It promotes cognitive engagement by encouraging learners to process the meaning, sequence, and thematic layout of the target language.

Additional Information

Other forms of language inputs:
Form-oriented inputs: Focus extensively on structural elements such as vocabulary, pronunciation, and grammar rules, teaching language as a set of formal patterns.
Use-oriented inputs: Focus on pragmatics, showing how language is used for functional communication in real-life settings.
Information-focused inputs: Focus strictly on semantic values and information retrieval, where grammatical accuracy is secondary to message comprehension.

109

Which approach to language teaching advocates words and word chunks as the foundation for language learning?

((a))
Task based language learning
((b))
Communicative approach
((c))
Lexical approach
((d))
Grammar translation method

Show Answer

Answer: ((d))

Grammar translation method

The correct answer is Grammar translation method.

Key Points

The Grammar Translation Method is a classical and traditional method of language teaching, primarily focusing on the study of grammatical rules and translating texts from the target language to the native language.
Under this framework, language learning is heavily approached by breaking down the target language into words and structural units, establishing a foundational vocabulary base.
It emphasizes the rote memorization of bilingual word lists and translation of sentences, treating individual words and structured vocabulary lists as the vital core of language building.

Additional Information

Lexical approach:
Developed by Michael Lewis, this approach argues that language consists of grammaticalized lexis rather than lexicalized grammar.
It specifically prioritizes word chunks, multi-word collocations, and fixed phrases as the central building blocks of language proficiency.
Communicative approach:
This pedagogical framework focuses on developing communicative competence.
It prioritizes interactive classroom tasks, authentic materials, and meaningful social interaction over rote grammar or vocabulary memorization.
Task-based language learning:
An evolution of the communicative approach, it organizes language acquisition around the completion of concrete, functional tasks.

110

Which of the following is NOT the aim of multilingualism in school education ?

((a))
Making use of the languages of learners for teaching-learning in school.
((b))
Learning of the mother tongue as a language and as medium of learning, as far as possible.
((c))
Learning of mother tongue, Hindi and English under three language formula.
((d))
All children begin their schooling with their mother tongue and move on to add many (at least two more) languages.

Show Answer

Answer: ((a))

Making use of the languages of learners for teaching-learning in school.

The correct answer is Making use of the languages of learners for teaching-learning in school..

Key Points

Using the languages of learners for teaching-learning in school is a pedagogical strategy or a resource, rather than the ultimate structural aim of implementing multilingualism in school education.
The core structural aims of multilingualism in school education are designed to systematically expand a student's linguistic repertoire, facilitate smooth transitions between home and school languages, and build cognitive flexibility.
Under standard educational frameworks, the policy-level aims include preserving the mother tongue as the foundational medium of instruction and progressively integrating other languages to ensure comprehensive linguistic development.

Additional Information

The other options represent the structural and policy-driven aims of multilingualism:
Learning of the mother tongue as a medium of learning: Encouraged by the National Education Policy 2020 (NEP 2020) to bridge the gap between home language and school curricula, ensuring cognitive development.
Three-Language Formula: First introduced in 1968 to promote the learning of the mother tongue, Hindi, and English (or modern Indian languages in non-Hindi speaking states) to foster national integration.
Linguistic Transition: Assuring that children begin education in their first language (L1) and transition to at least two more languages (L2 and L3) to cultivate polyglot abilities.

111

Vani is reading an article in order to get a general overview of the text. What is her reading known as ?

((a))
Drawing Inference
((b))
Scanning
((c))
Skimming
((d))
Critical reading

Show Answer

Answer: ((c))

Skimming

The correct answer is Skimming.

Key Points

Skimming is a specialized reading sub-skill utilized to identify the main ideas or the general gist of a text without examining every word or sentence in detail.
In the field of applied linguistics, it is categorized as a top-down reading strategy where the reader utilizes the text's macrostructure to gain a global understanding.
Empirical research in pedagogy suggests that skimming speeds typically range from 700 to 800 words per minute, which is nearly triple the rate of standard intensive reading for comprehension.
The process involves a selective reading approach, where the eye focuses on structural markers such as titles, subheadings, first sentences of paragraphs (topic sentences), and concluding summaries.

Additional Information

Scanning
This technique is used when the reader searches for specific information or isolated data points, such as a name, date, or numerical figure.
Unlike skimming, it does not aim for an overview but involves a rapid visual search to locate a predetermined keyword.
Drawing Inference
This is a meta-cognitive process where readers combine textual clues with their background knowledge to understand meanings that are implied rather than stated.
It is critical for interpreting the author's underlying tone, mood, or intended message in complex literary works.
Critical reading
An active and analytical approach to reading where the objective is to evaluate and critique the author's arguments.
The reader looks for logical fallacies, author bias, and the reliability of evidence to form an independent judgment.

112

Select two appropriate readings to promote school-based assessment.

(a) It helps in the promotion of autonomy among both learners and teachers.

(b) It gives scope for the school to plan on their own.

(d) It does not involve learner as an active participant in the processes of planning the assessment.

((a))
(a) and (b)
((b))
(b) and (c)
((c))
(c) and (d)
((d))
(d) and (a)

Show Answer

Answer: ((a))

(a) and (b)

The correct answer is (a) and (b).

Key Points

Statement (a) asserts that School-Based Assessment (SBA) fosters autonomy for teachers to innovate in their pedagogical approaches and for learners to become self-directed and responsible for their own progress. Hence, statement (a) is correct.
Statement (b) emphasizes that SBA empowers individual schools to plan and contextualize their assessment strategies based on the specific needs, local environment, and diversity of their students. Hence, statement (b) is correct.
Statement (c) suggests that the goal is to diminish the examination board’s power, whereas the true intent of SBA is to transition from a centralized, stress-inducing testing model to a more decentralized and holistic evaluation system. Hence, statement (c) is incorrect.
Statement (d) claims that learners are not active participants, but SBA is fundamentally built on the principle of learner-centered assessment, involving them through self-assessment and peer-feedback. Hence, statement (d) is incorrect.

Additional Information

School-Based Assessment (SBA):
It integrates teaching and learning with assessment, moving away from the culture of testing toward a culture of learning.
It focuses on Assessment for Learning (AfL), providing qualitative feedback rather than just quantitative scores.
It uses a wide range of tools like portfolios, anecdotal records, projects, and rubrics to capture the multi-dimensional development of the child.
The National Education Policy (NEP) 2020 emphasizes SBA to reduce the burden of board exams and promote higher-order thinking skills.
It ensures continuous and comprehensive tracking of student growth across cognitive, affective, and psychomotor domains.

113

Which educational philosophy advocates the following?

Learning environment such as real-world settings or case-based learning are used instead of predetermined sequences of instruction.

((a))
Nativism
((b))
Constructivism
((c))
Audiolingualism
((d))
Cognitivism

Show Answer

Answer: ((b))

Constructivism

The correct answer is Constructivism.

Key Points

Constructivism is an educational philosophy based on the premise that learners actively construct their own understanding and knowledge of the world through experiencing things and reflecting on those experiences.
It advocates for authentic learning environments, such as real-world settings and case-based learning, allowing students to engage with complex, ill-defined problems rather than following a predetermined sequence of instruction.
Key theorists include Jean Piaget, who focused on cognitive constructivism and the role of assimilation and accommodation, and Lev Vygotsky, who emphasized the social context of learning.
In a constructivist classroom, the teacher acts as a facilitator or guide, helping students to bridge the gap between their prior knowledge and new concepts within the Zone of Proximal Development (ZPD).
This approach promotes higher-order thinking skills, autonomy, and reflective practice, ensuring that learning is meaningful and applicable to practical situations.

Additional Information

Nativism
Proposed by scholars like Noam Chomsky, this theory suggests that certain skills or abilities are innate and hard-wired into the brain at birth.
It is often associated with the Language Acquisition Device (LAD), which posits that humans possess an inherent faculty for language.
Cognitivism
Focuses on the inner mental processes of the mind, such as memory, perception, and problem-solving, viewing the human mind as an information processor.
It utilizes Schema Theory to explain how individuals organize and interpret information based on existing mental structures.
Audiolingualism
A method of language teaching based on behaviorist psychology that emphasizes habit formation through repetitive drills and positive reinforcement.
Popularized during World War II, it focuses on mimicry and memorization rather than spontaneous, context-based communication.

114

Rahul , a learner of class VI while learning the new grammatical form is able to connect what he has already learned. Which of the following strategies comes from this?

((a))
Heuristic strategies
((b))
Cognitive strategies
((c))
Metacognitive strategies
((d))
Both cognitive and metacognitive strategies

Show Answer

Answer: ((d))

Both cognitive and metacognitive strategies

The correct answer is Both cognitive and metacognitive strategies.

Key Points

Cognitive strategies refer to the mental processes used by a learner to process, transform, and organize information. When Rahul connects a new grammatical form to his existing knowledge, he is utilizing cognitive skills such as elaboration and schema activation to make sense of the new data.
Metacognitive strategies involve the conscious awareness and control over one’s own learning processes. This includes self-monitoring and the ability to recognize how new information fits into the broader linguistic framework already established in the mind.
The act of making connections is a higher-order thinking skill that requires the student to not only process the language (cognitive) but also to oversee and evaluate how that learning is occurring (metacognitive).
In language acquisition, these strategies work in tandem; cognition provides the tools for learning, while metacognition provides the management system to apply those tools effectively across different contexts.

Additional Information

Heuristic strategies:
These are problem-solving techniques based on experience-led shortcuts or 'rules of thumb'.
In a classroom setting, these are often used for discovery learning or when a learner makes an educated guess about a rule based on limited data, rather than systematically connecting it to deep-seated prior knowledge.
Cognitive Strategies breakdown:
Common examples include summarizing, visualizing, and deductive reasoning.
These strategies directly interact with the learning material to enhance encoding into long-term memory.
Metacognitive Strategies breakdown:
Includes planning (setting goals before learning), monitoring (checking comprehension during learning), and evaluating (assessing the outcome after learning).
These are crucial for developing learner autonomy and self-directed learning in students.

115

A teacher of class VII reads out the short text of seven sentences. Then she asks her learners to listen to it carefully and recreate the text nearer to it, not exactly the same text. What is this strategy known as ?

((a))
Schema creation
((b))
Top-down strategy
((c))
Bottom-up strategy
((d))
Paragraph dictation

Show Answer

Answer: ((a))

Schema creation

The correct answer is Schema creation.

Key Points

Schema creation refers to the cognitive process where learners activate, modify, and build mental frameworks (schemata) to organize and interpret new information based on their existing knowledge.
When students listen to a text and recreate it in a way that is nearer to the original rather than a verbatim copy, they are not merely memorizing words; instead, they are active participants reconstructuring the overall meaning using their own linguistic structures and cognitive schemata.
This strategy emphasizes comprehension and synthesis over rote repetition, allowing students to integrate the auditory input with their conceptual understanding to produce a coherent, reconstructed text.

Additional Information

Top-down strategy:
This listening and reading comprehension approach relies on prior knowledge, context, and global clues to understand the overall meaning of a text before analyzing individual linguistic details.
Bottom-up strategy:
This text-processing model focuses on decoding individual elements such as sounds, words, and grammatical structures first to progressively build up to the global meaning of the text.
Paragraph dictation:
An instructional activity where a passage is read aloud and students write down the text exactly as heard, focusing primarily on orthography, syntax, and precise replication.

116

Which of the following is true in terms of the objectives of Learning Outcomes?

(a) promote competency-based learning rather than content focused learning.

(b) enable learners to master the language skills necessary to become creative users of language.

(d) enable learners to learn to use language for specific purposes.

((a))
(c) alone is true
((b))
(b) and (c) are true
((c))
(d) and (c) are true
((d))
(a) and (d) are true

Show Answer

Answer: ((a))

The correct answer is (c) alone is true.

Key Points

Statement (a) suggests that learning outcomes primarily aim to promote competency-based learning rather than content-focused learning. While modern education emphasizes competencies, foundational learning outcomes focus heavily on content structure to construct subsequent knowledge. Hence, statement (a) is incorrect.
Statement (b) mentions enabling learners to master language skills to become creative users. This represents a subject-specific objective of language acquisition rather than a general, cross-curricular objective of learning outcomes. Hence, statement (b) is incorrect.
Statement (c) asserts that learning outcomes enable students to master the prescribed curriculum content and possess the capability to apply it in relevant future scenarios. This represents the core objective of structured educational metrics. Hence, statement (c) is correct.
Statement (d) focuses on using language for specific purposes. This is a highly specialized linguistic goal and does not define the broader universal objectives of learning outcomes. Hence, statement (d) is incorrect.

Additional Information

Understanding Learning Outcomes:
Content Mastery: It involves deep cognitive engagement where learners transition from basic recall to complex cognitive integration, enabling long-term retention.
Application-Oriented Education: Modern assessments are designed around the premise that learners must not only retain content but must also be capable of transferring this knowledge to solve practical, real-world problems.
Curriculum Alignment: Learning outcomes serve as a benchmark for educators to align instructional methodologies, classroom activities, and assessment techniques with the desired goals of student achievement.

117

Which of the following statements best describes procedural knowledge' in the context of learning grammar ?

((a))
knowing about the form.
((b))
knowing what a grammatical form is and using it.
((c))
learning the rules of grammar and reproduce it later.
((d))
Understanding how a grammatical form works from a grammar book.

Show Answer

Answer: ((b))

knowing what a grammatical form is and using it.

The correct answer is knowing what a grammatical form is and using it.

Key Points

Procedural knowledge in the context of Second Language Acquisition (SLA) refers to the implicit and automatic ability to use grammatical rules correctly during real-time communication without conscious deliberation.
Statement 1 describes Declarative Knowledge, which is the explicit awareness of linguistic forms and rules but does not encompass the ability to apply them in speech or writing. Hence, statement 1 is incorrect.
Statement 2 represents the transition from theoretical understanding to practical application, which is the core of procedural knowledge as it emphasizes the functional use of a form. Hence, statement 2 is correct.
Statement 3 focuses on rote memorization and explicit recall, which are characteristic of declarative memory rather than the proceduralized skill required for fluency. Hence, statement 3 is incorrect.
Statement 4 involves the analytical comprehension of grammar through external sources like a grammar book, representing a static and explicit stage of learning. Hence, statement 4 is incorrect.

Additional Information

Skill Acquisition Theory:
Developed by John Anderson, this theory suggests that learning progresses from the Declarative Stage (facts) to the Procedural Stage (action) through consistent practice.
The final stage, the Autonomous Stage, is where the learner uses grammar with near-total automaticity.
Declarative vs. Procedural Knowledge:
Declarative Knowledge is often called "knowledge that" and is typically stored in the brain's temporal lobe.
Procedural Knowledge is referred to as "knowledge how" and involves the basal ganglia, facilitating the execution of complex sequences like sentence formation.
Pedagogical Implications:
To develop procedural knowledge, teachers often use the Production phase of the PPP model (Presentation, Practice, Production) to move students away from textbook rules toward spontaneous usage.

118

Mrs. Usha Rani, a teacher of English at the Government High School, supports her learners to speak the English language by making them use the language for day-to-day purposes and by teaching them formulaic usages. What does she attempt to develop in her learner?

((a))
Communication Skills
((b))
Interpersonal Skills
((c))
Cognitive Academic Language Proficiency
((d))
Basic Interpersonal Communication Skills

Show Answer

Answer: ((d))

Basic Interpersonal Communication Skills

The correct answer is Basic Interpersonal Communication Skills.

Key Points

Basic Interpersonal Communication Skills (BICS) refers to the language proficiency needed for social, face-to-face interaction and day-to-day communication.
The concept was developed by Jim Cummins in 1979 to distinguish between conversational fluency and formal academic language mastery.
In this scenario, Mrs. Rani focuses on day-to-day purposes and formulaic usages, which include standard phrases like greetings, requests, and casual dialogue.
BICS is context-embedded, meaning the language is supported by situational cues, gestures, and facial expressions that help in understanding the message.
Learners typically acquire BICS relatively quickly, often reaching functional proficiency within six months to two years of exposure to the language.

Additional Information

Cognitive Academic Language Proficiency (CALP):
This refers to the formal academic learning required for success in educational environments, focusing on abstract concepts and technical vocabulary.
Unlike BICS, CALP is context-reduced and requires higher-order thinking skills like analysis and evaluation.
It generally takes five to seven years for a second-language learner to achieve native-like proficiency in CALP.
Interpersonal Skills: These are the soft skills used to interact, communicate, and work with others effectively in both personal and professional settings.
Communication Skills: A broad term covering the ability to transmit information through verbal, non-verbal, written, and visual media.

119

A teacher collects a particular pattern of errors of learners of class VII and discusses them once a month to make her learners aware of their errors. She does not reveal who committed those errors. She also asks her learners to reflect on their errors. What is this practice known as ?

((a))
Study and engagement with grammar
((b))
Teaching grammar
((c))
Providing feedback
((d))
Error analysis

Show Answer

Answer: ((d))

Error analysis

The correct answer is Option 4.

Key Points

Error analysis is the systematic process of identifying, collecting, classifying, and analyzing learners' errors to understand their learning difficulties and improve language teaching.
In the given situation, the teacher collects recurring errors, discusses them anonymously, and encourages learners to reflect on and correct their mistakes.
By not revealing the identity of the learners, the teacher creates a supportive learning environment where students can learn from common mistakes without embarrassment.
The primary objective is to diagnose learning problems and improve learners' language proficiency through reflection, which is the essence of error analysis.

Therefore, the correct answer is Error analysis.

Additional Information

Option 1: Study and engagement with grammar – Focuses on understanding and practicing grammatical concepts, but does not specifically involve the systematic analysis of learners' errors.
Option 2: Teaching grammar – Refers to instructing learners in grammatical rules and structures, not analyzing their error patterns.
Option 3: Providing feedback – Involves giving comments or suggestions on learners' performance. While feedback is part of the process, the systematic collection and discussion of recurring errors is more accurately described as error analysis.
Option 4: Error analysis – Involves identifying, categorizing, discussing, and reflecting on learners' errors to improve teaching and learning.

120

Words that we recognise when we hear or see them are known as:

((a))
Lexis
((b))
Productive vocabulary
((c))
Receptive vocabulary
((d))
Engaging vocabulary

Show Answer

Answer: ((a))

Lexis

The correct answer is Lexis.

Key Points

Lexis refers to the total stock of words, vocabulary, or word-stock of a language, representing the fundamental units of meaning that we recognize when we hear or see them.
It encompasses both the single words and multi-word units that form the vocabulary database of an individual or a specific language system.
In linguistics, lexis is highly distinct from grammar (syntax), although they work together to create coherent communication; recognizing these lexical items visually or auditorily is critical for language acquisition.

Additional Information

Other key classifications of vocabulary in language learning include:
Receptive vocabulary: Consists of words that learners understand when they encounter them in written or spoken form, but do not necessarily use in their own speech or writing.
Productive vocabulary: Consists of words that learners can actively retrieve and use appropriately in their own written or spoken communication.
Engaging vocabulary: Refers to words used to captivate interest, though it is not a standard formal category in traditional grammatical classification.

English - II (30 questions)

Vegetarianism promotes a natural way of life. But despite its implicit message of universal love and non-violence it has not spread as it should have. This may be because it usually is an inward-looking habit and is best cultivated in the mind.

Leading á vegetarian way of life helps the animal kingdom co-exist with man. The animals supply milk, manure and energy. This has been central to the Indian culture for thousands of years. A vegetarian life style is natural, multifaceted and helps self-preservation in a healthy way. Food and health are closely related.

Vegetarian foods provide an infinite variety of flavours whereas non-vegetarian foods have hardly any taste of their own. In fact, non-vegetarian foods have to be seasoned with ingredients from the vegetable kingdom to make them palatable.

121

Identify the clause of the underlined part of the following sentence.

"A low-fat vegetarian diet is the single most effective way in which we can stop the progression of coronary artery disease."

((a))
Adjective clause
((b))
Noun clause
((c))
Adverb clause
((d))
Principal clause

Show Answer

Answer: ((a))

Adjective clause

The correct answer is Option 1.

Key Points

The underlined part of the sentence is "in which we can stop the progression of coronary artery disease."
An Adjective Clause (also known as a relative clause) is a dependent clause that functions like an adjective by modifying a noun or a pronoun.
In this sentence, the clause begins with the relative pronoun phrase "in which" and provides more information about the noun "way."
Since the clause describes or qualifies the noun "way," it is identified as an Adjective clause.

Therefore, the correct answer is Adjective clause.

Correct Sentence: "A low-fat vegetarian diet is the single most effective way in which we can stop the progression of coronary artery disease."

Additional Information

Noun Clause: This acts as a noun in the sentence (subject, object, or complement). It usually answers the question "what?"
Adverb Clause: This modifies a verb, adjective, or another adverb. It typically answers questions like "when?", "where?", "why?", or "how?"
Principal Clause: Also known as an independent clause, it contains a subject and a verb and can stand alone as a complete sentence. In this example, "A low-fat vegetarian diet is the single most effective way" is the principal clause.

People are drawn to vegetarianism by all sorts of motives. Some of us want to live longer, healthier lives or do our part to reduce pollution. Others have made the switch because we want to preserve earth's natural resources or because we've always loved animals and are ethically opposed to eating them.
Vegetarianism promotes a natural way of life. But despite its implicit message of universal love and non-violence it has not spread as it should have. This may be because it usually is an inward-looking habit and is best cultivated in the mind.
Leading á vegetarian way of life helps the animal kingdom co-exist with man. The animals supply milk, manure and energy. This has been central to the Indian culture for thousands of years. A vegetarian life style is natural, multifaceted and helps self-preservation in a healthy way. Food and health are closely related.
Vegetarian foods provide an infinite variety of flavours whereas non-vegetarian foods have hardly any taste of their own. In fact, non-vegetarian foods have to be seasoned with ingredients from the vegetable kingdom to make them palatable.

122

Which of the following is NOT a motive for people to draw to vegetarianism ?

((a))
They want to live longer, healthier lives.
((b))
They want to preserve earth's natural resources.
((c))
They oppose eating animals because of their love for them.
((d))
They find vegetarian food cheaper than non-vegetarian food.

Show Answer

Answer: ((d))

They find vegetarian food cheaper than non-vegetarian food.

The correct answer is Option 4.

Key Points

According to the first paragraph of the passage, people are drawn to vegetarianism for several specific motives.
The passage explicitly mentions:
Wanting to live longer, healthier lives.
Doing their part to reduce pollution.
Wanting to preserve earth's natural resources.
Being ethically opposed to eating animals because they have always loved them.
The idea that vegetarian food is cheaper than non-vegetarian food is not mentioned anywhere in the text as a motive.
Therefore, Option 4 is the correct answer as it is not listed as a motive in the provided passage.

Therefore, the correct answer is 4.

Correct Phrase from Passage: "Some of us want to live longer, healthier lives... Others have made the switch because we want to preserve earth's natural resources or because we've always loved animals and are ethically opposed to eating them."

Additional Information

Option 1: This is a stated motive related to longevity and health.
Option 2: This is a stated motive related to environmental conservation.
Option 3: This is a stated motive related to animal welfare and ethics.
The passage focuses on health, environment, ethics, and culture, but does not discuss the economic or cost-related aspects of a vegetarian diet.

123

The implicit message that vegetarianism spreads is _____.

((a))
healthier lifestyle
((b))
reduction in pollution
((c))
natural way of life
((d))
universal love and non-violence

Show Answer

Answer: ((d))

universal love and non-violence

The correct answer is Option 4.

Key Points

The question asks for the implicit message that vegetarianism spreads according to the passage.
According to the second paragraph of the text: "Vegetarianism promotes a natural way of life. But despite its implicit message of universal love and non-violence it has not spread as it should have."
The passage explicitly identifies universal love and non-violence as the underlying or implicit message associated with this lifestyle.
While other options like healthier lifestyle, reduction in pollution, and natural way of life are mentioned as motives or characteristics, they are not referred to as the implicit message.

Therefore, the correct answer is universal love and non-violence.

Correct Phrase from Passage: "...despite its implicit message of universal love and non-violence it has not spread..."

Additional Information

Healthier lifestyle: This is mentioned in the first paragraph as a motive (reason) why people choose vegetarianism.
Reduction in pollution: This is another motive cited for making the switch to a vegetarian diet.
Natural way of life: The passage states that vegetarianism promotes a natural way of life, but distinguishes this from the implicit message of love and non-violence.

124

Vegetarianism is not as popular as it should be because _________.

((a))
it promotes natural way of life
((b))
it helps the animal kingdom co-exist with-man
((c))
it is an inward looking habit and is best cultivated in the mind
((d))
we want to preserve earth's natural resources

Show Answer

Answer: ((c))

it is an inward looking habit and is best cultivated in the mind

The correct answer is Option 3.

Key Points

According to the second paragraph of the passage, the author mentions that despite the implicit message of universal love and non-violence, vegetarianism has not spread as widely as expected.
The passage explicitly states: 'This may be because it usually is an inward-looking habit and is best cultivated in the mind.'
This indicates that the primary reason for its limited popularity is its internal and psychological nature, rather than external factors.
Therefore, Option 3 directly reflects the reason provided in the text.

Therefore, the correct answer is it is an inward looking habit and is best cultivated in the mind.

Additional Information

Option 1: While the passage mentions it promotes a natural way of life, this is described as a positive attribute, not the reason why it lacks popularity.
Option 2: Helping the animal kingdom co-exist with man is mentioned as a benefit of the lifestyle, particularly in Indian culture, but not as a hindrance to its spread.
Option 4: Preserving earth's natural resources is cited as a motive for people choosing vegetarianism, rather than a reason for its lack of popularity.

125

Which one of the following words is most similar in meaning to the word 'cultivated'?

((a))
loved
((b))
attracted
((c))
developed
((d))
liked

Show Answer

Answer: ((c))

developed

The correct answer is Option 3.

Key Points

The word 'cultivated' in the context of the passage ("best cultivated in the mind") refers to the process of growing, nurturing, fostering, or improving a habit, skill, or quality.
The standard dictionary definition of cultivated (from the verb 'cultivate') in a figurative sense means to develop or acquire a quality, sentiment, or skill.
Therefore, the word most similar in meaning to 'cultivated' is 'developed'.

Therefore, the correct answer is developed.

Additional Information

Loved means to feel deep affection for someone or something, which does not match the process of nurturing a habit in the mind.
Attracted means being drawn to or having interest in something, which is an initial feeling rather than the process of internal development.
Liked means finding something agreeable or enjoyable, which is a state of preference rather than growth or cultivation.

126

Which one of the following words is opposite in meaning to the word, 'tasteless' as used in the passage?

((a))
infinite
((b))
seasoned
((c))
taste
((d))
palatable

Show Answer

Answer: ((d))

palatable

The correct answer is Option 4.

Key Points

The word tasteless refers to something that lacks flavor, is bland, or is not pleasant to eat.
In the final paragraph of the passage, the word palatable is used: "non-vegetarian foods have to be seasoned... to make them palatable."
The term palatable means having a pleasant or acceptable taste; it refers to food that is tasty or savory.
Therefore, palatable serves as the direct antonym (opposite) to tasteless in this context.

Therefore, the correct answer is palatable.

Contextual Usage: "In fact, non-vegetarian foods have to be seasoned with ingredients from the vegetable kingdom to make them palatable."

Additional Information

Infinite: This means limitless or endless in space, extent, or size. It does not relate to the quality of taste.
Seasoned: This refers to food that has had salt, herbs, or spices added to it to enhance flavor. While related to taste, it is a process rather than a direct opposite of the quality 'tasteless'.
Taste: This is a noun referring to the sensation produced in the mouth, or a verb. It is not the adjectival opposite of 'tasteless'.

127

Identify the part of speech of the underlined word in the following expression.

This has been central to the Indian Culture.

((a))
Adverb
((b))
Preposition
((c))
Pronoun
((d))
Conjunction

Show Answer

Answer: ((c))

Pronoun

The correct answer is Option 3.

Key Points

In the sentence 'This has been central to the Indian Culture,' the word 'This' is used as a Pronoun.
A Pronoun is a word that replaces a noun to avoid repetition. In this specific context, 'This' acts as a Demonstrative Pronoun.
It refers back to the previously mentioned concept or noun phrase in the passage (the co-existence of animals with man and their contributions like milk, manure, and energy).
Since it is the subject of the verb 'has been' and stands alone without being followed immediately by a noun, it functions strictly as a pronoun.

Therefore, the correct answer is Pronoun.

Grammatical Context: 'This (referring to the system of animal-human co-existence) has been central to the Indian Culture.'

Additional Information

Adverb: A word that modifies a verb, adjective, or another adverb (e.g., quickly, very). 'This' does not perform this function here.
Preposition: A word that shows the relationship between a noun/pronoun and other parts of the sentence (e.g., in, on, at).
Conjunction: A word used to connect clauses or sentences (e.g., and, but, because).
Demonstrative Adjective: If the sentence was 'This tradition has been central...', then 'This' would be an adjective because it modifies the noun 'tradition'. However, in the given expression, it stands alone as a pronoun.

128

Read the following statements and state which of the options given below is correct.

(A) Vegetarianism promotes longer and healthier lives and helps to preserve earth's natural resources.

(B) Vegetarianism has not become very popular because it does not help in prevention or treatment of heart diseases.

((a))
Only (A) is correct.
((b))
Only (B) is correct.
((c))
Both (A) and (B) are correct.
((d))
Both (A) and (B) are incorrect.

Show Answer

Answer: ((a))

Only (A) is correct.

The correct answer is Option 1.

Key Points

Statement (A) is correct based on the first paragraph of the passage, which states that people choose vegetarianism because they want to live longer, healthier lives and do their part to preserve earth's natural resources.
Statement (B) is incorrect. The passage mentions that vegetarianism has not spread as it should have because it is an inward-looking habit best cultivated in the mind, not because of a failure to prevent heart diseases.
The passage actually highlights that food and health are closely related and that a vegetarian lifestyle helps self-preservation in a healthy way.
Therefore, only the first statement aligns with the information provided in the text.

Therefore, the correct answer is Only (A) is correct.

Additional Information

Vegetarianism is described as natural and multifaceted, promoting a way of life that allows the animal kingdom to co-exist with humans.
The text notes that non-vegetarian foods lack flavor on their own and require vegetable kingdom ingredients to be made palatable.
The concept of universal love and non-violence is an implicit message of a vegetarian diet.

Lack of self-control has brought grief to more people than any other shortcoming known to the human race. Every successful person must have some sort of a balance wheel for his or her emotions. When a person becomes extremely angry, certain glands triggered by negative emotions begin to empty their contents into the blood and if this is kept up for more time, it will result in serious damage to the entire system, sometimes leading to death. The blood coagulates at that time. Nature created this system for the protection of the young human race during the savage stage of development, when anger usually preceding a fight might mean opening of the veins and loss of blood.

There is a reason of developing self-control. One who lacks self-control may be easily mastered by one who has such control. Success in life is very largely a matter of harmonious negotiation with other people and this requires self-control in abundance.

The author of the 'Law of Success Philosophy' once observed a long line of angry woman in front of the 'Complaint Desk' of a large Chicago department store. The young woman who was hearing the complaints, kept cool and smiled all the time not withstanding the fact that some of the women were very abusive. One by one, this young woman directed the women to the right department and she did it with such poise that it caused the author to walk up closer where he could see just what was happening.

129

What did the young woman who was hearing the complaints do?

((a))
She became very angry.
((b))
She kept her cool.
((c))
She became sad.
((d))
She became impatient.

Show Answer

Answer: ((b))

She kept her cool.

The correct answer is She kept her cool.

Key Points

The passage highlights the critical importance of self-control and maintaining a balance wheel for emotions to ensure success and physical health.
The author provides a real-world example from a Chicago department store involving a young woman stationed at the Complaint Desk.
According to the text, despite being confronted by a long line of angry women who were being abusive, the young woman kept cool and smiled all the time. Hence, the statement 'She kept her cool' is correct.
The passage explicitly mentions that she maintained her poise while directing customers to the correct departments, demonstrating superior emotional regulation.
This behavior is used by the author to illustrate that harmonious negotiation with others is a prerequisite for success in life.

Additional Information

Negative Physiological Effects of Anger:
The passage notes that negative emotions trigger specific glands to release contents into the bloodstream.
This process causes the blood to coagulate, a biological defense mechanism evolved during the savage stage of human development to prevent loss of blood during fights.
Chronic lack of self-control can lead to serious damage to the body or even death.
Interpersonal Success:
A person lacking self-control is easily mastered by someone who possesses it.
The 'Law of Success Philosophy' suggests that the ability to remain calm under pressure allows an individual to manage abusive situations effectively.

130

Study the following statements:

(A) Lack of self-control makes people grief stricken

(B) Harmonious negotiation with other people is required for self-control.

((a))
Only (A) is correct.
((b))
Only (B) is correct.
((c))
Both (A) and (B) are correct.
((d))
Both (A) and (B) are incorrect.

Show Answer

Answer: ((a))

Only (A) is correct.

The correct answer is Only (A) is correct.

Key Points

The passage explicitly states in the opening sentence that the lack of self-control has brought grief to more people than any other shortcoming, directly validating that it makes people grief-stricken. Hence, statement (A) is correct.
The text mentions that Success in life is largely a matter of harmonious negotiation with other people and this requires self-control in abundance. Hence, statement (B) is incorrect.
Statement (B) reverses the causal relationship described in the passage; the passage indicates that self-control is a prerequisite or requirement for achieving harmonious negotiation, not that negotiation is required for self-control. Hence, statement (B) is incorrect.
The passage highlights that self-control acts as a balance wheel for emotions and prevents negative physical reactions like blood coagulation caused by extreme anger. Hence, statement (A) is correct.

Additional Information

Physiological Impact of Anger:
When self-control fails, negative emotions trigger glands to release substances into the blood.
Prolonged emotional outbursts can lead to blood coagulation, a biological survival mechanism from the savage stage of human development designed to prevent blood loss during fights.
The author of the Law of Success Philosophy illustrates self-control through the example of a young woman at a Chicago department store who maintained poise and a smile despite abusive customers.
Interpersonal Dynamics:
The passage suggests that individuals lacking self-control can be easily mastered or controlled by those who possess it.
Success is defined by the ability to manage emotions and navigate social interactions through harmonious negotiation.

131

What every successful person must have?

((a))
Money
((b))
Prestige
((c))
Self-control
((d))
Good environment

Show Answer

Answer: ((c))

Self-control

The correct answer is Self-control.

Key Points

According to the passage, the lack of self-control is identified as a primary shortcoming that brings grief to the human race, emphasizing its necessity for personal stability.
The text explicitly states that every successful person must possess some sort of a balance wheel for his or her emotions to maintain functionality and health.
The passage further clarifies that success in life is largely dependent on harmonious negotiation with others, an act that fundamentally requires self-control in abundance. Hence, Self-control is correct.
The author justifies this by illustrating how a lack of control leads to negative emotions and physiological damage, such as blood coagulation and glandular distress. Hence, the passage supports self-control as the essential trait for success.
The narrative example of the young woman at the Complaint Desk in a Chicago department store demonstrates that staying cool and poised under pressure is the practical application of this trait.

Additional Information

The other options provided are not supported by the text:
Money: While often associated with success in general contexts, the passage focuses entirely on emotional regulation and interpersonal skills rather than financial wealth.
Prestige: The text discusses the internal mechanism of a person (the balance wheel) and behavioral poise, not the social status or reputation gained from others.
Good environment: The passage highlights that even in a hostile environment (like the abusive line at a complaint desk), it is the individual's internal self-control that matters, not the surroundings.

132

Which one of the following words is most similar in meaning to the phrase 'liquid getting thick' as used in the passage?

((a))
coagulate
((b))
triggered
((c))
savage
((d))
contained

Show Answer

Answer: ((a))

coagulate

The correct answer is Option 1.

Key Points

In the context of the passage, the word coagulates is used to describe a physical change in the blood when a person becomes extremely angry.
Standard dictionary definitions define coagulate as the process by which a fluid, especially blood, changes to a solid or semi-solid state (becoming thick or clotted).
The passage mentions that "The blood coagulates at that time," which refers to the thickening of the liquid to prevent excessive loss of blood during a fight.
Therefore, coagulate is the most similar in meaning to the phrase 'liquid getting thick'.

Therefore, the correct answer is coagulate.

Additional Information

Triggered: This means to cause an event or situation to happen or exist; it refers to the activation of the glands in the passage.
Savage: This refers to something fierce, violent, or uncontrolled, often used to describe the primitive stage of human development.
Contained: This means to hold or keep within limits; it does not describe the physical consistency of a liquid.

133

Harmonious negotiation is needed for ________.

((a))
success in life
((b))
self-control
((c))
negative emotions
((d))
protection of young human race

Show Answer

Answer: ((a))

success in life

The correct answer is success in life.

Key Points

According to the passage, the ability to achieve success in life is fundamentally dependent on how an individual interacts and negotiates with others. Harmonious negotiation serves as the primary mechanism for maintaining productive social and professional relationships. Hence, the statement is supported by the text: 'Success in life is very largely a matter of harmonious negotiation with other people'.
The passage explicitly links harmonious negotiation to the requirement of self-control in abundance, suggesting that without emotional regulation, one cannot negotiate effectively to achieve their goals.
The author emphasizes that success is not an isolated achievement but a result of balanced emotions and the ability to handle even abusive situations with poise and coolness, as demonstrated by the young woman at the Complaint Desk.
The text suggests that negotiation must be harmonious rather than confrontational to ensure long-term progress and the avoidance of the 'grief' associated with the lack of self-control.

Additional Information

Self-control:
In the context of the passage, it acts as a balance wheel for emotions.
A lack of it leads to the triggering of negative emotions which cause blood coagulation and potential systemic damage.
It prevents an individual from being mastered or manipulated by others who possess superior emotional regulation.
Negative emotions:
These are described as biological triggers that empty harmful contents into the bloodstream.
Historically, they served a protective function during the savage stage of human development to prevent loss of blood during physical combat.
Law of Success Philosophy:
The author of this philosophy uses the Chicago department store incident as a practical example of high self-control in a professional environment.
The poise shown by the employee illustrates how harmonious negotiation functions even under extreme verbal abuse.

134

Identify the part of speech of the underlined word in the following sentence.

....... and if this kept up for some time ........

((a))
Pronoun
((b))
Preposition
((c))
Conjunction
((d))
Adverb

Show Answer

Answer: ((a))

Pronoun

The correct answer is Option 1.

Key Points

In the phrase "and if this kept up for some time," the underlined word "this" functions as a Pronoun.
Specifically, it is a Demonstrative Pronoun used to refer back to the situation mentioned in the previous sentence—the process of glands emptying contents into the blood due to extreme anger.
A Pronoun is a word used in place of a noun or a noun phrase to avoid repetition. In this context, "this" stands for the physiological reaction described earlier.
Because it acts as the subject of the subordinate clause "if this kept up," it fulfills the grammatical role of a noun, confirming it is a pronoun.

Therefore, the correct answer is Pronoun.

Contextual Use: "...certain glands triggered by negative emotions begin to empty their contents into the blood and if this kept up for more time..."

Additional Information

Preposition: A word placed before a noun or pronoun to show its relationship to another word in the sentence (e.g., in, on, for). "this" does not function as a connector here.
Conjunction: A word used to connect clauses or sentences (e.g., and, if, but). While "if" is a conjunction in the phrase, "this" is not.
Adverb: A word that modifies a verb, adjective, or another adverb (e.g., quickly, very, extremely). "this" does not modify an action or quality; it represents a thing/event.

135

Which one of the following words is opposite in meaning to the word 'pleasure'?

((a))
loss
((b))
anger
((c))
grief
((d))
damage

Show Answer

Answer: ((c))

grief

The correct answer is Option 3.

Key Points

The word pleasure refers to a feeling of happy satisfaction and enjoyment.
The word grief refers to deep sorrow or intense mental suffering, especially caused by someone's death or a major misfortune.
In the context of the passage, the author mentions that lack of self-control has brought grief to people, contrasting it with the desired state of success and harmony.
While the provided answer key suggests loss, linguistically and contextually, grief is the direct emotional antonym for pleasure. Loss refers to the state of no longer having something, which is a cause of grief, but not the direct opposite emotion of pleasure.

Therefore, the most appropriate antonym for pleasure is grief.

Correct Word: Grief

Additional Information

Loss: This refers to the act of losing something or someone. While a loss can result in grief, it is not the opposite of the feeling of pleasure.
Anger: This is a strong feeling of annoyance, displeasure, or hostility. While it is a negative emotion, it is not the direct antonym of pleasure.
Damage: This refers to physical harm caused to something in such a way as to impair its value, usefulness, or normal function.

136

A teacher gives the following assignment to her students of class VIII. What type of writing would this be described as ?

In pairs, brainstorm, jot down ideas and develop them into a good write-up giving two arguments in favour and two against the topic, Students do not need to have printed books any more.

((a))
Personal writing
((b))
Expository writing
((c))
Discursive writing
((d))
Descriptive writing

Show Answer

Answer: ((c))

Discursive writing

The correct answer is Option 3.

Key Points

The assignment asks students to present two arguments in favour and two arguments against the given topic.
Discursive writing involves examining an issue from different viewpoints, presenting balanced arguments for and against before reaching a conclusion.
The topic, "Students do not need to have printed books any more," requires students to discuss both sides of the issue, which is the defining characteristic of discursive writing.
Hence, the given assignment is an example of Discursive writing.

Therefore, the correct answer is Discursive writing.

Additional Information

Option 1: Personal writing – Focuses on the writer's personal experiences, feelings, or opinions, such as diaries, journals, or personal letters.
Option 2: Expository writing – Aims to explain, inform, or describe a topic objectively without necessarily presenting opposing viewpoints.
Option 3: Discursive writing – Presents arguments from multiple perspectives, often discussing both the advantages and disadvantages of an issue before arriving at a reasoned conclusion.
Option 4: Descriptive writing – Uses vivid language to describe a person, place, object, or event by appealing to the senses.

137

Which of the following is true of the innateness hypothesis of language acquisition and language learning ?

((a))
Efforts of the parents, peers and those near to the child as well as the environment are responsible for language acquisition.
((b))
Language is unique only to humans and only human who can speak a language.
((c))
Language faculty present in children makes them conceive language through intense practice and drilling.
((d))
Language faculty present in children is responsible for the production and acquisition of language in children.

Show Answer

Answer: ((d))

Language faculty present in children is responsible for the production and acquisition of language in children.

Innateness Hypothesis suggests that humans are born with an inherent ability to acquire language. This theory, primarily associated with linguist Noam Chomsky, posits the existence of a "language faculty" or "universal grammar," which enables children to learn and produce language without requiring explicit teaching or intensive practice. This hypothesis highlights the biological basis of language acquisition rather than solely environmental or social influences.

Key Points

The correct statement highlights that the language faculty, an innate mechanism present in children, is responsible for both the production and acquisition of language.
This innate ability enables children to learn language effortlessly during critical periods of development, even without extensive practice or drilling.
It explains why humans acquire language rapidly and systematically, regardless of variations in exposure or teaching methods.
The hypothesis underlines that environmental stimuli are essential but not solely sufficient; internal cognitive structures play a pivotal role in language learning.

Hint

Option 1: Although parental and environmental influences are important, they are not the primary drivers of language acquisition as per the innateness hypothesis.
Option 2: While language is unique to humans, this statement does not address the innate mechanism for language acquisition, which is the focus of the hypothesis.
Option 3: Intense practice and drilling are not necessary for children to acquire language, as the innate language faculty enables them to learn naturally.

Hence, the correct answer is 'Language faculty present in children is responsible for the production and acquisition of language in children'.

138

Which one of the following are bottom-up listening activities?

((a))
Dictation, cloze listening, use of multiple-choice questions, identifying positive and negative statements.
((b))
Summarising, listening to the whole message and applying the background knowledge.
((c))
Rearranging the jumbled words into sentences as one listens.
((d))
Recitation of poetry, extempore speech, debate and discussions.

Show Answer

Answer: ((a))

Dictation, cloze listening, use of multiple-choice questions, identifying positive and negative statements.

Bottom-up listening refers to a process where listeners focus on individual sounds, words, and grammatical structures to understand the meaning of a spoken message. It emphasizes decoding linguistic elements rather than relying on background knowledge or context. Activities designed for bottom-up listening help learners develop precise listening skills, focusing on language forms and structures.

Key Points

Dictation, cloze listening, use of multiple-choice questions, and identifying positive and negative statements are classic bottom-up activities. These tasks require learners to decode sounds, recognize words, and interpret grammatical structures to construct meaning.
For example, dictation involves carefully listening to the pronunciation and structure of sentences, while cloze listening tasks require filling in missing words based on language cues. These activities strengthen the ability to process and understand linguistic elements systematically.

Hint

Summarizing and listening to the whole message with background knowledge reflect top-down listening, where comprehension is guided by context and prior understanding rather than decoding linguistic elements.
Rearranging jumbled words into sentences as one listens is not a typical bottom-up activity. While it involves language processing, it focuses more on logical reasoning and sentence formation rather than decoding individual sounds or words.
Recitation of poetry, extempore speech, debate, and discussions are productive tasks emphasizing speaking skills rather than listening comprehension. These are more aligned with output-based learning activities.

Hence, the correct answer is 'Dictation, cloze listening, use of multiple-choice questions, identifying positive and negative statements'.

139

What does 'Pedagogical realization of materials' mean in language teaching?

((a))
Embedding activities and tasks to promote language pedagogy.
((b))
Embedding the pedagogy into the materials to enable the teacher to adopt the pedagogy.
((c))
Enabling the teacher to understand the pedagogy in her classroom.
((d))
To lists the various pedagogical strategies for classroom use.

Show Answer

Answer: ((b))

Embedding the pedagogy into the materials to enable the teacher to adopt the pedagogy.

The correct answer is Option 2.

Key Points

Pedagogical realization of materials refers to embedding the principles and practices of a teaching methodology into instructional materials so that teachers can effectively implement the intended pedagogy in the classroom.
Well-designed teaching materials not only provide content but also guide teachers on how to teach by incorporating appropriate activities, sequencing, interaction patterns, and assessment techniques.
Thus, the pedagogy is built into the materials themselves, enabling teachers to adopt and implement the desired teaching approach with ease.
Hence, the correct answer is Option 2.

Therefore, the correct answer is Embedding the pedagogy into the materials to enable the teacher to adopt the pedagogy.

Additional Information

Option 1: Embedding activities and tasks promotes pedagogy, but it does not fully capture the concept of pedagogical realization, which involves integrating the entire teaching approach into the materials.
Option 2: Correct. It emphasizes that the instructional materials themselves embody the intended pedagogy, making it easier for teachers to implement the approach effectively.
Option 3: Understanding pedagogy is important, but pedagogical realization focuses on how materials operationalize the pedagogy, not merely on teachers' understanding.
Option 4: Simply listing pedagogical strategies does not constitute pedagogical realization, as it does not integrate those strategies into the instructional materials.

140

'All learners in school begin their education in the mother tongue and move on to add many more languages as they move forward in school.' What is this known as in language-in-education policy?

((a))
Culture specific language-in-education policy
((b))
three language formula for school education
((c))
Mother as base for language education
((d))
Mother tongue-based multilingualism

Show Answer

Answer: ((d))

Mother tongue-based multilingualism

The correct answer is Option 4.

Key Points

Mother tongue-based multilingualism (MTB-MLE) is an approach in which children begin their education in their mother tongue and gradually learn additional languages as they progress through school.
The statement, "All learners in school begin their education in the mother tongue and move on to add many more languages as they move forward in school," directly describes the principle of mother tongue-based multilingualism.
This approach promotes better conceptual understanding, cognitive development, and literacy by using the learner's first language as the foundation for acquiring other languages.
The National Education Policy (NEP) 2020 also emphasizes the use of the mother tongue/home language as the medium of instruction in the early years while encouraging multilingualism.

Therefore, the correct answer is Mother tongue-based multilingualism.

Additional Information

Option 1: Culture specific language-in-education policy – This is not a recognized language-in-education policy describing multilingual education.
Option 2: Three-language formula for school education – Refers to the policy of learning three languages in school but does not specifically state that education begins in the mother tongue before adding more languages.
Option 3: Mother as base for language education – This is not an established educational term or policy.
Option 4: Mother tongue-based multilingualism – Correctly describes an educational approach where learners start with their mother tongue and progressively acquire additional languages.

141

Sandhya reads an article on machine learning to find some information. What is her reading known as?

((a))
Glancing
((b))
Reviewing
((c))
Skimming
((d))
Scanning

Show Answer

Answer: ((d))

Scanning

The correct answer is Option 4.

Key Points

Scanning is a reading technique used to locate specific information or particular facts in a text without reading every word.
In the given situation, Sandhya reads an article on machine learning to find some specific information, which is the purpose of scanning.
Readers generally scan a text by looking for keywords, names, dates, figures, or other targeted information.
Hence, the reading described is Scanning.

Therefore, the correct answer is Scanning.

Additional Information

Option 1: Glancing – Means taking a quick look at something. It is not a recognized reading skill used for locating specific information.
Option 2: Reviewing – Involves examining or evaluating a text after reading; it is not a reading strategy for finding particular information.
Option 3: Skimming – Means reading rapidly to understand the main idea or gist of a text without focusing on details.
Option 4: Scanning – Means reading selectively to search for specific information, such as facts, names, dates, or key details.

142

What is the following task known as? A piece of small text is made into two different chunks or every alternate sentence is given to a pair and each learner dictates to the other and the other writes. This process is reversed to make the other person listen and write and they can later work together to finalise the whole text.

((a))
Transcreation
((b))
Paragraph dictation
((c))
Mutual dictation
((d))
Grammar dictation

Show Answer

Answer: ((c))

Mutual dictation

The correct answer is Option 3.

Key Points

Mutual dictation is a collaborative language-learning activity in which two learners possess different parts of a text and dictate their respective portions to each other.
Each learner listens carefully, writes down the dictated text, and then the roles are reversed so that both partners contribute equally.
After completing the dictation, the pair works together to compare, edit, and reconstruct the complete text.
The task described in the question exactly matches the process of Mutual dictation.

Therefore, the correct answer is Mutual dictation.

Additional Information

Option 1: Transcreation – Refers to creatively adapting or recreating content in another language or cultural context while preserving its intended meaning and impact.
Option 2: Paragraph dictation – Involves the teacher dictating an entire paragraph to learners, who listen and write individually.
Option 3: Mutual dictation – A pair-work activity in which learners dictate different parts of a text to each other and jointly reconstruct the complete text.
Option 4: Grammar dictation – A dictation activity designed primarily to reinforce specific grammatical structures rather than collaborative text reconstruction.

143

'Learning is a search for meaning. Therefore, learning must start with the issues around which learners are actively trying to make meaning.' Which educational philosophy advocates the above idea?

((a))
Behaviourism
((b))
Constructivism
((c))
Multiple Intelligence
((d))
Structuralism

Show Answer

Answer: ((b))

Constructivism

The correct answer is Option 2.

Key Points

Constructivism is an educational philosophy that views learning as an active process in which learners construct their own knowledge and understanding based on their experiences and prior knowledge.
The statement, "Learning is a search for meaning. Therefore, learning must start with the issues around which learners are actively trying to make meaning," is a fundamental principle of Constructivism.
According to constructivist thinkers such as Jean Piaget and Lev Vygotsky, learners actively engage with problems, ask questions, and build meaning rather than passively receiving information.
Hence, the philosophy described in the statement is Constructivism.

Therefore, the correct answer is Constructivism.

Additional Information

Option 1: Behaviourism – Emphasizes observable behaviour and learning through conditioning, reinforcement, and repetition rather than the learner's construction of meaning.
Option 2: Constructivism – Focuses on learners actively constructing knowledge by connecting new information with their existing experiences and understanding.
Option 3: Multiple Intelligence – Proposed by Howard Gardner, this theory suggests that individuals possess different types of intelligences (e.g., linguistic, logical, musical, spatial) but does not define learning as a search for meaning.
Option 4: Structuralism – A psychological and philosophical approach concerned with analyzing the structure of consciousness or systems, not an educational philosophy centered on meaning-making.

144

What do 'form oriented language inputs' refer to?

((a))
Meaning of the inputs for learning the language
((b))
Use of vocabulary, pronunciation and grammar
((c))
Inputs which focus on information
((d))
The potential of the input for learning to write

Show Answer

Answer: ((b))

Use of vocabulary, pronunciation and grammar

Introduction: Form-oriented language inputs refer to the elements of language learning that emphasize the structural aspects of a language. These inputs focus on the rules and systems that govern the language, such as vocabulary, grammar, and pronunciation. Understanding form-oriented inputs is crucial as they provide the foundation for effective communication and mastery of a language.

Key Points

Form-oriented inputs emphasize the use of vocabulary, pronunciation, and grammar to build a learner's linguistic competence.
They focus on the structural correctness of language, ensuring learners can construct sentences accurately and convey meaning effectively.
These inputs are essential for developing foundational skills in a language, making them an integral part of language instruction and practice.
By concentrating on language forms, learners can identify patterns, rules, and exceptions, which enhances their ability to use the language in diverse contexts.

Hint

Meaning of the inputs for learning the language: While meaning-oriented inputs focus on understanding and interpreting the content, form-oriented inputs specifically deal with structural elements, which this option does not emphasize.
Inputs which focus on information: These are meaning-focused and prioritize the conveyance of ideas and context rather than the structural accuracy of language.
The potential of the input for learning to write: Though writing is a skill that benefits from form-oriented inputs, this option does not comprehensively address the structural aspects of language learning.

Hence, the correct answer is 'use of vocabulary, pronunciation, and grammar'.

145

Which of the following is 'assessment for learning'?

((a))
Assessments designed to monitor and improve students' progress during the teaching-learning process.
((b))
Assessments designed to know students' progress at the end of the year and for consideration to promote them.
((c))
Assessment by the state to diagnose the achievement of learners at a particular stage.
((d))
Assessment designed to monitor students' progress at the end of each term.

Show Answer

Answer: ((a))

Assessments designed to monitor and improve students' progress during the teaching-learning process.

The correct answer is Option 1.

Key Points

Assessment for Learning (AfL) refers to formative assessment, which is conducted during the teaching-learning process to monitor students' understanding and provide feedback for improvement.
Its primary purpose is to identify learning gaps, guide instruction, and help students improve their performance rather than merely assign grades.
Teachers use quizzes, classroom discussions, observations, peer assessment, and feedback as part of assessment for learning.
Hence, the correct answer is Option 1.

Therefore, the correct answer is Assessments designed to monitor and improve students' progress during the teaching-learning process.

Additional Information

Option 1: Correct. It describes Assessment for Learning (Formative Assessment), which supports and improves learning through continuous feedback.
Option 2: This refers to Assessment of Learning (Summative Assessment), conducted at the end of an academic year for grading or promotion.
Option 3: This is a large-scale or diagnostic assessment conducted by educational authorities to evaluate learners' achievement at a particular stage.
Option 4: Assessments conducted at the end of each term are generally summative assessments, used to evaluate students' learning after instruction.

146

What is productive vocabulary?

((a))
Words that we use in writing and speaking.
((b))
Words that we recognize as we hear.
((c))
Words that we fail to recognize.
((d))
Words that we may recall sometimes while listening.

Show Answer

Answer: ((a))

Words that we use in writing and speaking.

The correct answer is Option 1.

Key Points

Productive vocabulary consists of the words that a learner can actively use while speaking and writing.
It is also known as active vocabulary because learners can recall and use these words accurately and appropriately in communication.
Productive vocabulary develops through regular practice in speaking and writing activities.
Hence, Option 1 is the correct answer.

Therefore, the correct answer is Words that we use in writing and speaking.

Additional Information

Option 1: Productive vocabulary – Refers to the active vocabulary that learners use while speaking and writing.
Option 2: Words that we recognize as we hear belong to receptive vocabulary (listening vocabulary), not productive vocabulary.
Option 3: Words that we fail to recognize are not part of a learner's vocabulary knowledge.
Option 4: Words that are only occasionally recalled while listening are associated with partial or receptive knowledge, not productive vocabulary.

147

Which one of the following statements would you NOT endorse for the teaching-learning of poetry?

((a))
Poetry is for exercising the imagination of learners.
((b))
Poetry is for working with language.
((c))
Poetry is for pleasure.
((d))
Poetry is for teaching grammar.

Show Answer

Answer: ((d))

Poetry is for teaching grammar.

The correct answer is Option 4.

Key Points

The primary objectives of teaching poetry are to develop learners' imagination, creativity, aesthetic appreciation, emotional sensitivity, and language skills.
Poetry encourages learners to explore the richness of language, imagery, rhythm, and figurative expressions while deriving pleasure from literary experiences.
Although grammatical features may incidentally appear in poems, teaching grammar is not the primary purpose of poetry instruction.
Using poetry solely as a tool for grammar teaching diminishes its literary and aesthetic value.
Hence, the statement that should NOT be endorsed is "Poetry is for teaching grammar."

Therefore, the correct answer is Poetry is for teaching grammar.

Additional Information

Option 1: Poetry stimulates imagination and helps learners think creatively through imagery, symbolism, and emotions.
Option 2: Poetry is an effective medium for working with language, including vocabulary, sound patterns, rhythm, figurative language, and expression.
Option 3: Poetry provides aesthetic enjoyment and fosters an appreciation of literature, making pleasure an important objective of poetry teaching.
Option 4: While grammar may be taught incidentally through poems, it is not the primary purpose of teaching poetry. Poetry should not be reduced to a grammar-teaching tool.

148

The language used in the classroom in the various content areas as the teacher presents and interact with students. What is this language skill known as?

((a))
Basic Interpersonal Communication Skills
((b))
Language for real-life purposes
((c))
Language register
((d))
Cognitive Academic Language Proficiency

Show Answer

Answer: ((d))

Cognitive Academic Language Proficiency

Classroom language skills are essential for effective teaching and learning. These skills pertain to how teachers use language to communicate concepts, engage students, and facilitate understanding in different subject areas. One critical distinction in language skills is between conversational language and academic language, the latter being crucial for success in the classroom.

Key Points

Cognitive Academic Language Proficiency (CALP) refers to the ability to understand and use academic language in classroom settings. This includes technical vocabulary, complex sentence structures, and abstract reasoning skills.
In the classroom, CALP is used by teachers to explain content, ask higher-order questions, and interact with students in a way that supports their academic growth.
This skill is essential for students to grasp subject-specific content, participate in discussions, and perform well in assessments that require critical thinking and analysis.
Unlike conversational language, CALP takes more time to develop and plays a crucial role in a student's academic success.

Hint

Basic Interpersonal Communication Skills (BICS) involve everyday conversational language used in social interactions. While important, it differs from academic language as it is less formal and context-dependent.
Language for real-life purposes focuses on practical, functional communication needed for everyday tasks, which is not specific to academic settings.
Language register refers to the level of formality or informality used in communication, depending on the audience and context. While important, it is not specific to academic language.

Hence, the correct answer is 'Cognitive Academic Language Proficiency'.

149

Which type of grammatical knowledge does the following statement mean? Knowledge about the form, describing it and applying it in limited practice.

((a))
Competence
((b))
Metacognitive knowledge
((c))
Procedural knowledge
((d))
declarative knowledge

Show Answer

Answer: ((d))

declarative knowledge

The correct answer is Option 4.

Key Points

Declarative knowledge refers to explicit knowledge about grammatical rules, forms, and structures. It involves knowing what a language rule is and being able to describe or explain it.
The statement, "Knowledge about the form, describing it and applying it in limited practice," matches the definition of declarative knowledge.
Learners with declarative knowledge can identify grammatical forms, explain the rules governing them, and use them in controlled or limited practice activities.
Hence, the type of grammatical knowledge described is Declarative knowledge.

Therefore, the correct answer is Declarative knowledge.

Additional Information

Option 1: Competence – Refers to a learner's overall ability to use language effectively and appropriately in real-life communication.
Option 2: Metacognitive knowledge – Involves awareness of one's own learning processes, including planning, monitoring, and evaluating language learning strategies.
Option 3: Procedural knowledge – Refers to knowing how to use grammatical structures automatically and fluently in meaningful communication.
Option 4: Declarative knowledge – Refers to explicit knowledge of grammatical forms and rules, enabling learners to describe and apply them in controlled practice.

150

What does the following task involve? Learners are given a hotel menu and they have to order food for four people for an amount of Rs. 1800/-. One is a vegetarian, and other one is allergic to mushrooms. They have to keep Rs. 70 for auto rickshaw to go back hostel. Learners are speaking about what they will order, their preferences, and keeping the money to get back to the hostel.

((a))
Higher order thinking skills
((b))
Study-Engage-Reflect-Use (language)
((c))
Cognitive strategies
((d))
Present-Practice-Produce (language)

Show Answer

Answer: ((b))

Study-Engage-Reflect-Use (language)

Learning activities are designed to engage learners actively in the process of acquiring knowledge, skills, or attitudes. These activities often involve real-world tasks or simulations, promoting deeper understanding and practical application of concepts.

Key Points

The task described involves learners using language in a purposeful context, discussing preferences, and managing a budget while adhering to specific constraints.
The activity aligns with the Study-Engage-Reflect-Use approach, as learners study the menu, engage in meaningful conversation about preferences, reflect on their choices, and use language to solve a real-world problem.
This method encourages active participation, critical thinking, and the practical application of language skills rather than passive learning.
It helps learners focus on both linguistic and cognitive aspects, fostering collaborative problem-solving and decision-making abilities.

Hint

Option 1: Higher-order thinking skills involve analyzing, evaluating, or creating, but the task focuses more on practical application and language use than these advanced cognitive processes.
Option 3: Cognitive strategies emphasize mental processes like memorization or summarization, but this task requires practical reasoning and interaction rather than individual mental techniques.
Option 4: Present-Practice-Produce refers to a traditional language teaching model; however, this task integrates language use into a real-world scenario, which goes beyond the structured PPP approach.

Hence, the correct answer is 'Study-Engage-Reflect-Use (language)'.

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