SBI PO Prelims Memory Based Paper (Held On: 8 March 2025 Shift 2) (Previous Year Paper)

The correct answer is 'So did her husband'

Key Points

The given phrase is to be replaced with 'So did her husband'

• According to the rule of grammar, With coordinate clauses where the action is the same in both, given in the sentence, we can also use the inverted pattern i.e. 'So/Neither + do/does/did + Subject'
• Let's see an example-
• Dad never learned to speak any other languages, and neither did Mum.

So the correct sentence is- She really enjoyed the thrill of the open road, and so did her husband.

The correct answer is 'Fewer people attend church'

Key Points

The given phrase is to be replaced with 'Fewer people attend church'

• According to grammar, Nouns such as 'Church, hospital, School' do not take an article if we think of their purpose i.e church as a place of worship, or school as a place of learning.
• Let's see an example-
• Can children leave school at fourteen in your country?

So the correct sentence is→ Fewer people attend church regularly now than twenty years ago.

Additional Information

• 'Few' is a determiner which is used with the countable nouns and 'less' is a determiner which is used with the uncountable nouns.

The correct answer is 'turn down'.

 

Key Points

• The phrase "turn down" acts as a noun phrase in this context, meaning a rejection, refusal, or a dismissive response.
• The sentence describes his body language, implying his gestures were more rejecting or unwelcoming than the speaker anticipated.
• The original phrase "turn up" typically refers to a surprise or unexpected event, which does not logically pair with describing someone's specific "gestures."

Therefore, the correct answer is Option 2.

 

Complete Sentence: "His gestures were more of a turn down than I expected."

 

Additional Information

• Option 1: "Turn on" is incorrect because while it can mean something that causes excitement, it does not fit the intended formal context of this sentence.
• Option 3: "Turn in" is incorrect; as a phrasal verb, it means to submit an assignment or to go to sleep.
• Option 4: "Turn back" is incorrect because it refers to a reversal or returning the way you came, which does not describe physical gestures.

The correct answer is option 2), i.e. A-F.

Key Points

The correct sequences are:

• A. mentions about the action of the reduction of greenhouse and F. says why is the action helpful. So, A-F.
• B. says something about Amazon basin and D. informs about the inhabitants who used to live there. So, B-D.
• C. mentions about Phytoliths and E. mentions the usage of it. So, C-E.

Hence, Option 2) is the answer.

The correct answer is option 5), i.e. None of these

Key Points

The correct sequences are:

• A. talks about the relaxation of immigration and E. mentions the names of the places where it is welcomed. So, A-E.
• B. mentions the doctors and nurses of Germany who don't have licenses and D. says what happened to them. So, B-D.
• C. talks about the refugees and other migrants and F. informs what they are exposed to. So, C-F.

Hence, Option 5) is the answer.

The correct answer is 'health'.

 

Key Points

• The passage discusses nutrient-rich foods that offer multiple health benefits.
• The appropriate noun should indicate something related to overall well-being and fitness.
• "Health" fits well as it denotes the state of being free from illness or injury, which aligns with the context of maintaining well-being.
• Other options ("fatigue", "digestion", "activity", "appetite") do not fit the context of maintaining overall well-being and do not provide the same broad meaning as "health."

Therefore, the correct answer is 'Option 2'.

 

Complete Passage: Superfoods are nutrient-rich foods that offer multiple health benefits. They are an essential part of a balanced diet and help in maintaining overall health and well-being. Different superfoods provide a variety of nutrients, including vitamins, minerals, antioxidants, and ____ (B). For instance, berries are packed with antioxidants that help combat oxidative stress and inflammation. On the other hand, seeds like chia and flax are rich in omega-3 fatty acids, which are crucial for maintaining heart ____ (C). Another group of superfoods includes leafy greens such as spinach and kale, which are excellent sources of vitamins A, C, and K, as well as iron and calcium. These nutrients are vital for supporting ____ (D), healthy skin, and strong bones. Additionally, nuts like almonds and walnuts provide proteins and good fats that help in ____ (E) energy levels throughout the day. Including a variety of superfoods in your diet can significantly boost your nutritional intake. However, it is essential to remember that balance is key, and no single food can provide all the ____ (F) the body needs. Therefore, it's imperative to consume a diverse mix of foods to achieve optimal health.

 

Additional Information

• Fatigue (थकान): "Fatigue" means extreme tiredness, which does not fit the context of the passage.
• Digestion (पाचन): "Digestion" means the process of breaking down food, which does not broadly convey the idea of overall well-being.
• Activity (गतिविधि): "Activity" means a state of being active, which does not fit the context of maintaining overall well-being.
• Appetite (भूख): "Appetite" means a natural desire to satisfy a bodily need, especially for food, which does not align with the context of describing overall health.

The correct answer is 'proteins'.

 

Key Points

• The passage discusses the various nutrients provided by superfoods.
• The appropriate noun should indicate a type of nutrient commonly found in superfoods.
• "Proteins" fits well as it is a crucial nutrient needed by the body and commonly found in superfoods.
• Other options ("fibers", "flavours", "calories", "sugars") do not fit adequately as they either do not represent essential nutrients or do not align with the context of superfoods providing vital nutrients.

Therefore, the correct answer is 'Option 3'.

 

Complete Passage: Superfoods are nutrient-rich foods that offer multiple health benefits. They are an essential part of a balanced diet and help in maintaining overall health and well-being. Different superfoods provide a variety of nutrients, including vitamins, minerals, antioxidants, and proteins*. For instance, berries are packed with antioxidants that help combat oxidative stress and inflammation. On the other hand, seeds like chia and flax are rich in omega-3 fatty acids, which are crucial for maintaining heart ____ (C). Another group of superfoods includes leafy greens such as spinach and kale, which are excellent sources of vitamins A, C, and K, as well as iron and calcium. These nutrients are vital for supporting ____ (D), healthy skin, and strong bones. Additionally, nuts like almonds and walnuts provide proteins and good fats that help in ____ (E) energy levels throughout the day. Including a variety of superfoods in your diet can significantly boost your nutritional intake. However, it is essential to remember that balance is key, and no single food can provide all the ____ (F) the body needs. Therefore, it's imperative to consume a diverse mix of foods to achieve optimal health.*

 

Additional Information

• Fibers (रेशे): "Fibers" are important for digestion, but the context of the passage is broad nutrients provided by superfoods.
• Flavours (स्वाद): "Flavours" refer to taste, which does not fit the context of the passage.
• Calories (कैलोरी): "Calories" represent energy content in food, not a specific nutrient.
• Sugars (चीनी): "Sugars" are a type of carbohydrate, not as broadly relevant in the context of superfoods’ broad nutritional benefits.

The correct answer is 'health'.

 

Key Points

• The passage discusses the importance of different nutrients found in superfoods for maintaining various aspects of health.
• The appropriate noun should indicate a desirable state related to the heart, which is a crucial organ.
• "Health" fits well as it denotes the state of being free from illness or injury, which aligns with the need to maintain heart health.
• Other options ("endurance", "failure", "flu", "fatigue") do not fit the context of urging care for the heart, as they either represent negative health conditions or different concepts.

Therefore, the correct answer is 'Option 4'.

 

Complete Passage: Superfoods are nutrient-rich foods that offer multiple health benefits. They are an essential part of a balanced diet and help in maintaining overall health and well-being. Different superfoods provide a variety of nutrients, including vitamins, minerals, antioxidants, and proteins. For instance, berries are packed with antioxidants that help combat oxidative stress and inflammation. On the other hand, seeds like chia and flax are rich in omega-3 fatty acids, which are crucial for maintaining heart health*. Another group of superfoods includes leafy greens such as spinach and kale, which are excellent sources of vitamins A, C, and K, as well as iron and calcium. These nutrients are vital for supporting ____ (D), healthy skin, and strong bones. Additionally, nuts like almonds and walnuts provide proteins and good fats that help in ____ (E) energy levels throughout the day. Including a variety of superfoods in your diet can significantly boost your nutritional intake. However, it is essential to remember that balance is key, and no single food can provide all the ____ (F) the body needs. Therefore, it's imperative to consume a diverse mix of foods to achieve optimal health.*

 

Additional Information

• Endurance (धैर्य): "Endurance" means the ability to endure difficult situations, which does not precisely fit the context of heart health.
• Failure (विफलता): "Failure" means lack of success, which does not align with promoting heart health.
• Flu (फ्लू): "Flu" is an illness, which does not fit with maintaining heart health.
• Fatigue (थकान): "Fatigue" means extreme tiredness, which does not support the context of maintaining heart health.

The correct answer is 'immunity'.

 

Key Points

• The passage discusses the health benefits of superfoods, including nutrients important for various bodily functions.
• The appropriate noun should indicate a vital function that vitamins and minerals found in leafy greens support.
• "Immunity" fits well as it is crucial for the body's ability to fight off illnesses and infections, aligning with the context of the paragraph.
• Other options ("obesity", "vision", "intelligence", "behaviour") do not fit as well since they either represent negative conditions or do not align perfectly with the nutrients from leafy greens.

Therefore, the correct answer is 'Option 1'.

 

Complete Passage: Superfoods are nutrient-rich foods that offer multiple health benefits. They are an essential part of a balanced diet and help in maintaining overall health and well-being. Different superfoods provide a variety of nutrients, including vitamins, minerals, antioxidants, and proteins. For instance, berries are packed with antioxidants that help combat oxidative stress and inflammation. On the other hand, seeds like chia and flax are rich in omega-3 fatty acids, which are crucial for maintaining heart health. Another group of superfoods includes leafy greens such as spinach and kale, which are excellent sources of vitamins A, C, and K, as well as iron and calcium. These nutrients are vital for supporting immunity*, healthy skin, and strong bones. Additionally, nuts like almonds and walnuts provide proteins and good fats that help in ____ (E) energy levels throughout the day. Including a variety of superfoods in your diet can significantly boost your nutritional intake. However, it is essential to remember that balance is key, and no single food can provide all the ____ (F) the body needs. Therefore, it's imperative to consume a diverse mix of foods to achieve optimal health.*

 

Additional Information

• Obesity (मोटापा): "Obesity" refers to excessive body fat, which does not align with the context of supporting health.
• Vision (दृष्टि): "Vision" is important, but the paragraph discusses a broader range of nutrients and their benefits.
• Intelligence (बुद्धिमत्ता): "Intelligence" pertains to mental ability, which does not fit well in the context of nutrients from leafy greens.
• Behaviour (व्यवहार): "Behaviour" refers to how one acts, which does not align with the context of the passage.

The correct answer is 'boosting'.

 

Key Points

• The passage is discussing the benefits of superfoods, including how they help maintain energy levels throughout the day.
• The appropriate verb should indicate a positive impact on energy levels.
• "Boosting" fits well as it means to increase or improve, which aligns with the positive benefits of consuming nuts.
• Other options ("desiring", "draining", "reducing", "storing") do not fit as they either do not align with the context or have negative connotations.

Therefore, the correct answer is 'Option 2'.

 

Complete Passage: Superfoods are nutrient-rich foods that offer multiple health benefits. They are an essential part of a balanced diet and help in maintaining overall health and well-being. Different superfoods provide a variety of nutrients, including vitamins, minerals, antioxidants, and proteins. For instance, berries are packed with antioxidants that help combat oxidative stress and inflammation. On the other hand, seeds like chia and flax are rich in omega-3 fatty acids, which are crucial for maintaining heart health. Another group of superfoods includes leafy greens such as spinach and kale, which are excellent sources of vitamins A, C, and K, as well as iron and calcium. These nutrients are vital for supporting immunity, healthy skin, and strong bones. Additionally, nuts like almonds and walnuts provide proteins and good fats that help in boosting energy levels throughout the day. Including a variety of superfoods in your diet can significantly boost your nutritional intake. However, it is essential to remember that balance is key, and no single food can provide all the ____ (F) the body needs. Therefore, it's imperative to consume a diverse mix of foods to achieve optimal health.

 

Additional Information

• Desiring (इच्छा करना): "Desiring" means wanting, which does not fit contextually with energy levels.
• Draining (ठप करना): "Draining" means reducing or depleting, which is opposite of the intended meaning.
• Reducing (कम करना): "Reducing" means decreasing, which does not align with the positive impact of nuts.
• Storing (भंडारण): "Storing" means keeping something for future use, which does not fit the context of energy levels.

The correct answer is 'nutrients'.

 

Key Points

• The passage emphasizes the importance of superfoods in providing essential nutrients needed by the body.
• The appropriate noun should indicate something that the body requires to function properly.
• "Nutrients" fits well as it encompasses vitamins, minerals, and other essential elements for bodily functions.
• Other options ("varieties", "textures", "tastes", "flavours") do not fit the context of essential elements needed by the body for optimal health.

Therefore, the correct answer is 'Option 1'.

 

Complete Passage: Superfoods are nutrient-rich foods that offer multiple health benefits. They are an essential part of a balanced diet and help in maintaining overall health and well-being. Different superfoods provide a variety of nutrients, including vitamins, minerals, antioxidants, and proteins. For instance, berries are packed with antioxidants that help combat oxidative stress and inflammation. On the other hand, seeds like chia and flax are rich in omega-3 fatty acids, which are crucial for maintaining heart health. Another group of superfoods includes leafy greens such as spinach and kale, which are excellent sources of vitamins A, C, and K, as well as iron and calcium. These nutrients are vital for supporting immunity, healthy skin, and strong bones. Additionally, nuts like almonds and walnuts provide proteins and good fats that help in boosting energy levels throughout the day. Including a variety of superfoods in your diet can significantly boost your nutritional intake. However, it is essential to remember that balance is key, and no single food can provide all the nutrients the body needs. Therefore, it's imperative to consume a diverse mix of foods to achieve optimal health.

 

Additional Information

• Varieties (प्रकार): "Varieties" means different kinds, which does not fit the context of essential elements.
• Textures (बनावट): "Textures" refer to the feel of food, which is not relevant to the nutrients the body needs.
• Tastes (स्वाद): "Tastes" refer to flavors, which do not relate to nutritional necessity.
• Flavours (स्वाद): "Flavours" refer to taste profiles, which are not critical elements required by the body.

The correct answer is- 'Kamya thinks she is more powerful than Kashish.'

Key Points 

• Option 1 is incorrect.
• We use "every + singular noun" to refer individually to all the members of a complete group of something.
• Example: There's a photograph on the wall of every child in the school.
• ​We use "plenty of" as a quantifier before both countable and uncountable nouns to mean 'a lot', 'a large quantity'.
• Example: Don't worry there are plenty of options.
• So, we have to replace "every" with "plenty" to make it grammatically correct.
• Option 2 is correct.
• When two items/people/situations are compared, a comparative degree is used by putting ‘er’ to the adjective word or "more" with the adjective in association with the word ‘than’.
• Example:
• She is more cheerful than her sister.
• *She is smarter than her sister.*​
• The presence of the word 'than' after the blank shows that there must be a comparative degree of the word 'powerful.'
• The comparative degree of 'powerful' is formed by adding "more" after the positive degree of the adjective "powerful."
• Option 3 is incorrect.
• We can see the second part of the sentence is in the Past Tense.
• It denotes that when the traffic cops attempted to pull Riya over, she was moving quite quickly.
• So, we need to write this sentence in the Past Tense.
• ​So, we have to replace "is" with "was" to make it grammatically correct.
• Option 4 is incorrect.
• The word "honour" is typically pronounced with a silent 'h', therefore producing a vowel sound.
• ​So, we have to replace "a" with "an" to make it grammatically correct.
• So, the correct answer is Option 2.
  

Correct sentence: Kamya thinks she is more powerful than Kashish.

The correct answer is- 'Neither the rain nor the wind were enough to cancel the event.'

Key Points

• Option 1 is correct.
• The subject "The team, along with the coach" is singular. Therefore, the verb "was" correctly agrees with the singular subject.
• Example: The manager, along with his team, was present at the meeting.
• Option 2 is correct.
• The phrase "Each of the boys" is considered singular and requires a singular verb, "has." The use of "his" is also correct.
• Example: Each of the students has completed his or her assignment.
• Option 3 is incorrect.
• The subject closer to the verb governs the number of the verb. Here, "wind" is singular, so the verb should be "was."
• Correct sentence: Neither the rain nor the wind was enough to cancel the event.
• Option 4 is correct..
• The expression "Many a person" is a formal way of saying "many people" and is grammatically correct with the singular verb "believes."
• Example: Many a student believes that hard work leads to success.
• So, the correct answer is Option 3.

The correct answer is 'Knowledge of at least four languages is required to pass the examination' i.e. this sentence is grammatically and contextually correct.

Key Points

• Let us explore the grammatical errors in the sentences:
• In Option 1, the use of the plural form of the verb 'are' is incorrect.
• We know that the phrase ''twelve miles'' is a singular unit and is always followed by a singular verb. (वाक्यांश ''twelve miles'' एकवचन इकाई है और हमेशा एकवचन क्रिया इसके बाद आता है)
• Therefore, the singular form of the verb 'is' should be used in place of the plural form of the verb 'are'.
• Correct Sentence: She walked twelve miles which is really a great distance for a woman like her who is not only old but also ill.
• In Option 2, the use of the plural form of the verb 'indicate' is incorrect.
• We know that a singular subject takes a singular verb while a plural subject takes a plural verb. (एकवचन विषय एकवचन क्रिया लेता है जबकि बहुवचन विषय बहुवचन क्रिया लेता है)
• Here, the subject ''The information'' is a singular subject and it will take a singular verb. (यहाँ, विषय ''The information'' एकवचन विषय है और यह एकवचन क्रिया लेगा)
• Therefore, the singular form of the verb 'indicate' should be used in place of the singular plural form of the verb 'indicates'.
• Correct Sentence: The information presented in the most recent reports indicates that turbulent times lie ahead for those who have invested only in Small Cap stocks.
• In Option 3, the words 'free' and 'gift' are used side by side, thus the sentence is corrupted by redundancy. ('gift' के साथ 'free' शब्द का प्रयोग निरर्थक है इस प्रकार वाक्य अतिरेक से दूषित हो जाता है )
• The word 'gift' means a thing given willingly to someone without payment or free of cost; a present.
• The word 'free' is included in the meaning of 'facts'.
• So both 'true' and 'facts' can't be used in a single sentence.
• Therefore, we can say that using the word 'free' along with 'gift' is redundant. ('gift' के साथ 'free' शब्द का प्रयोग निरर्थक है)
• Correct Sentence: He was promoted in rank and received a gift of the castle and isle of Indre near Nantes.
  

Hence, the correct answer is option 4.

The correct answer is- 'There is less people attending the lecture than expected.'

Key Points

• Option 1 is correct.
• "The data" is treated as a singular entity, hence "shows" is correctly used as the verb.
• Example: The data provides valuable insights.
• Option 2 is correct.
• "The company's new policy" is correctly referred to affect all employees immediately.
• Example: The new rule affects all members from today.
• Option 3 is incorrect.
• "Less" should be replaced with "fewer" when referring to countable nouns like "people."
• Correct sentence: There are fewer people attending the lecture than expected.
• Option 4 is correct..
• The use of "more quickly" accurately forms the comparative degree for the adverb, making the sentence correct.
• Example: He finishes the task more quickly than his peers.
• So, the correct answer is Option 3.

The correct answer is 'Locally produced valuables have the advantage of shorter supply chains' i.e. this sentence is grammatically and contextually correct.

Key Points

• Let us explore the grammatical errors in the sentences:
• In Option 1, the use of the plural form of the verb 'are' is incorrect.
• We know that when a phrase comes between the subject and the verb, remember that the verb still agrees with the subject, not the noun or pronoun in the phrase following the subject of the sentence. (जब कोई वाक्यांश विषय और क्रिया के बीच आता है, तो याद रखें कि क्रिया अभी भी विषय से सहमत है, वाक्य के विषय के बाद वाक्यांश में संज्ञा या सर्वनाम से नहीं)
• Therefore, the singular form of the verb 'is' should be used in place of the plural form of the verb 'are'.
• Correct Sentence: The doctor, as well as the committee members, is excited.
• In Option 3, the use of the article 'a' is incorrect.
• We use the article 'a' before a consonant sound and we use the article 'an' before a vowel sound (here, argument). (व्यंजन ध्वनि से पहले आर्टिकल 'a' और स्वर ध्वनि से पहले आर्टिकल 'an' का इस्तेमाल करते हैं)
• Therefore, the article 'an' should be used in place of the article 'a'.
• Correct Sentence: Resorting to violence is not the best solution to an argument.
• In Option 4, the use of the preposition 'beside' is incorrect.
• The preposition 'beside' means at the side of; next to. (preposition 'beside' का अर्थ है के बग़ल में, के पास)
• The preposition 'besides' means in addition to; apart from. (preposition 'besides' का अर्थ है के अतिरिक्त, के साथ; भी)
• Therefore, the preposition 'besides' should be used in place of the preposition 'beside'.
• Correct Sentence: Besides ability, the other essential element in political success is luck.
  

Hence, the correct answer is option 2.

The correct answer is Option 2.

 

Key Points

• The passage specifically mentions "extreme weather conditions" as one of the primary causes of food supply disturbances.
• Climate change has led to unpredictable and severe weather patterns, resulting in poor crop yields.
• Droughts, floods, and other natural disasters have significantly impacted agricultural productivity, reducing the supply of key staples such as wheat, rice, and maize.

Therefore, the correct answer is Option 2.

 

Correct Information: The passage highlights extreme weather conditions, driven by climate change, as a primary cause of global food supply disturbances.

 

Additional Information

• Option 1: "Political instability" is incorrect as the passage does not mention political instability as a primary cause.
• Option 3: "Technological failures" is incorrect as the passage does not discuss technological failures as a primary cause.
• Option 4: "Urbanization" is incorrect as the passage does not address urbanization as a primary cause.
• Option 5: "Economic recession" is incorrect as the passage does not mention economic recession as a primary cause.

The correct answer is Option 3.

 

Key Points

• The passage specifically mentions that the ongoing COVID-19 pandemic has created logistical challenges such as "labour shortages and transport restrictions."
• These challenges have disrupted food distribution networks and led to delays and higher transportation costs.
• The pandemic has also caused border closures and trade restrictions, further complicating the flow of goods.

Therefore, the correct answer is Option 3.

 

Correct Information: The passage highlights the logistical challenges created by the COVID-19 pandemic, including labour shortages and transport restrictions, which have affected the food supply chain.

 

Additional Information

• Option 1: "Overproduction of food" is incorrect as the passage discusses disruptions in the food supply chain, not overproduction.
• Option 2: "Decrease in consumer demand" is incorrect as this challenge is not mentioned in the passage.
• Option 4: "Increase in agricultural productivity" is incorrect as the passage mentions poor crop yields, not an increase in productivity.
• Option 5: "Improvement in fuel efficiency" is incorrect as the passage discusses rising energy costs, not improvements in fuel efficiency.

The correct answer is Option 3.

 

Key Points

• The passage specifically mentions "Wheat, rice, and maize" as the crops affected by extreme weather conditions.
• These crops have experienced poor yields due to climate change-induced droughts, floods, and other natural disasters.
• The reduction in supply of these staples has contributed to rising food prices and inflation.

Therefore, the correct answer is Option 3.

 

Correct Information: The passage highlights the impact of extreme weather conditions on specific crops, namely "wheat, rice, and maize," and explains how this affects the global food supply.

 

Additional Information

• Option 1: "Barley, soybeans, and potatoes" is incorrect as these specific crops were not mentioned in the passage.
• Option 2: "Corn, oats, and rye" is incorrect as these specific crops were not mentioned in the passage.
• Option 4: "Sugarcane, citrus fruits, and vegetables" is incorrect as these specific crops were not mentioned in the passage.
• Option 5: "Beans, lentils, and nuts" is incorrect as these specific crops were not mentioned in the passage.

The correct answer is Option 4.

 

Key Points

• Statement A: Climate change has led to unpredictable and severe weather patterns.
• This statement is correct as it accurately reflects the context provided in the passage.
• Statement B: Rising healthcare costs have significantly contributed to food inflation.
• The passage does not mention rising healthcare costs as a contributing factor to food inflation.
• Statement C: Fuel prices directly impact the costs of agricultural production and transportation.
• This statement is correct as it aligns with the information provided in the passage about the impact of fuel prices on agricultural production and transportation costs.
• Hence, the statements A and C are identified as correct in the context of the passage.

Therefore, the correct answer is: ‘A and C’.

The correct answer is 'Option 2'.

 

Key Points

• A) Governments are indifferent to the challenges in the global food supply chain.
• This cannot be inferred from the passage. The passage mentions that governments and international bodies are working tirelessly to address the issues in the global food supply chain.
• B) Stabilizing food prices requires both immediate and long-term strategies.
• This can be inferred from the passage. Various strategies and efforts by governments and international bodies to handle the situation are mentioned, highlighting the need for both immediate and long-term actions.
• C) The steps taken so far have completely solved the food supply chain disruptions.
• This cannot be inferred from the passage. The passage states that the road ahead remains challenging, and comprehensive and coordinated actions are required globally.
• D) Climate change has no significant effect on food production.
• This cannot be inferred from the passage. The passage clearly describes how climate change has led to extreme weather conditions and poor crop yields, impacting food production significantly.
• E) Rising energy prices are unrelated to food inflation.
• This cannot be inferred from the passage. The passage explains that rising energy prices contribute to higher food production and transportation costs, leading to food inflation.

Therefore, the correct answer is Option 2.

 

Additional Information

• Only A: Incorrect because the passage indicates that governments are actively working on solving the issues, so A cannot be inferred.
• Only B: Correct because the passage supports the inference that both immediate and long-term strategies are needed.
• All A, B, and C: Incorrect because A and C cannot be inferred from the passage.
• Only C: Incorrect because the passage implies that the disruptions are still ongoing, so C cannot be inferred.

The correct answer is 'producing and delivering'.

 

Key Points

• The expression "producing and delivering" accurately describes the activities impacted by rising fuel prices mentioned in the text.
• Rising fuel prices primarily affect costs associated with the production and transportation of food products.
• Other options like "quality controlling," "improving and marketing," "harvesting and processing," and "growing and storing," do not fit the context as precisely.

Therefore, the correct answer is 'Option 5'.

Complete Sentence: As fuel prices continue to climb, so do the costs of producing and delivering food products.

Additional Information

• Quality controlling: involves ensuring that products meet certain standards.
• Improving and marketing: refers to enhancing product features and promoting them.
• Harvesting and processing: describes the activities of gathering crops and converting them into final products.
• Growing and storing: pertains to the cultivation and storage of agricultural products.

The correct answer is: Option 2 i.e., 'bleak'.

Key Points

• The word "dark" in the context of the passage means gloomy or depressing; it refers to a situation that is difficult, discouraging, or unfavorable. (अंधकारमय)
• Example: The outlook for the economy is dark due to the ongoing crisis.
• "Bleak" refers to a situation that is not hopeful or encouraging; likely to have a poor outcome. (निर्णायक)
• Example: The future looks bleak if we don't take action against climate change.
• Hence, we can infer that "bleak" is the correct synonym for "dark" in the context of the passage.

Therefore, the correct answer is: Option 2 i.e., 'bleak'.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Bright (उज्ज्वल): Giving out or reflecting much light; shining.
• Example: The future looks bright with all the new opportunities coming up.
• Light (प्रकाश): The natural agent that stimulates sight and makes things visible.
• Example: The light from the sun streamed through the window.
• Transparent (पारदर्शी): Allowing light to pass through so that objects behind can be distinctly seen.
• Example: The transparent glass made it easy to see outside.
• Cheerful (प्रसन्न): Noticeably happy and optimistic.
• Example: She had a cheerful smile that brightened everyone's day.

The correct answer is: Option 2 i.e., 'persist'.

Key Points

• The word "continue" means to persist in an activity or process; to keep going without stopping. (जारी रखना)
• Example: She decided to continue her education despite the challenges.
• "Persist" refers to continuing firmly or steadily in a course of action in spite of difficulty or opposition. (दृढ़ रहना)
• Example: The symptoms can persist for weeks or even months if not properly treated.
• Hence, we can infer that "persist" is the correct synonym for "continue".

Therefore, the correct answer is: Option 2 i.e., 'persist'.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Stop (रोकना): To bring an activity or movement to an end.
• Example: The teacher asked the students to stop talking during the lecture.
• Cease (समाप्त करना): To bring to an end or come to an end.
• Example: They were asked to cease all operations immediately.
• Interrupt (बाधा डालना): To break the continuity of an action or process.
• Example: Please do not interrupt when someone else is speaking.
• Break (विराम): To separate into pieces or to pause an activity.
• Example: It's important to take a break after working for a few hours.

The correct answer is: Option 3 i.e., 'addressed'.

Key Points

• The word "handled" means to manage or deal with a situation or problem. (सामना किया)
• Example: She handled the crisis very efficiently, ensuring that everything was back to normal in no time.
• "Addressed" refers to dealing with or focusing on an issue or problem. (निपटाना)
• Example: The management addressed the concerns raised by the employees during the meeting.
• Hence, we can infer that "addressed" is the correct synonym for "handled".

​Therefore, the correct answer is: Option 3 i.e., 'addressed'.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Ignored (नज़रअंदाज़): Refuse to take notice of or acknowledge.
• Example: He ignored the warning signs and continued with his plan.
• Mismanaged (कुप्रबंधित): Managed something badly or wrongly.
• Example: The project was mismanaged, resulting in its failure.
• Overlooked (अनदेखा): Fail to notice something.
• Example: He overlooked a minor detail that led to major problems later.
• Neglected (उपेक्षित): Fail to care for properly.
• Example: She felt neglected when no one paid attention to her opinions.

The correct answer is option 2.

Key Points

• To answer this question, let's first understand the meaning of the word given in the question:
• Rage: a strong feeling of anger that is difficult to control; a current or popular trend. (क्रोध, गुस्सा, प्रचलित)
• Now, let's examine the given sentences:
• Sentence A: The rage against the new policy was evident in the protesters' shouts.
• This sentence correctly uses the word "rage" to describe a strong feeling of anger against the new policy.
• Sentence B: After learning about his promotion, his heart was filled with rage.
• This sentence does not correctly use the word "rage" because learning about a promotion is usually a positive event and would not typically cause anger.
• Sentence C: This fashion trend is all the rage amongst teenagers this season.
• This sentence correctly uses the word "rage" to describe a current or popular trend.
• So, sentences A and C correctly use the word "rage" in their respective contexts.

Therefore, the correct answer is "Both A & C."

The correct answer is option 2.

Key Points

• To answer this question, let's first understand the meaning of the word given in the question:
• Manage: to be in charge of or control something, or to succeed in doing something despite difficulties. (प्रबंध करना, नियंत्रित करना)
• Now, let's examine the given sentences:
• Sentence A: She found it difficult to manage her time while working two jobs.
• This sentence correctly uses the word "manage" to describe controlling or organizing time.
• Sentence B: The company hired a new CEO to manage up the profit reports.
• This sentence incorrectly uses the word "manage". The phrase "manage up" is not a correct or standard usage.
• Sentence C: After the accident, it was hard for him to manage his emotions.
• This sentence correctly uses the word "manage" to describe controlling or dealing with emotions.
• So, both sentences A and C correctly use the word "manage", while sentence B does not.

Therefore, the correct answer is "Both A & C."

The correct answer is option 2.

Key Points

• To answer this question, let's first understand the meaning of the word given in the question:
• Rise: to go up, move upward; to increase in level, amount, or number; to become higher. (उठना, बढ़ना, ऊपर की ओर जाना)
• Now, let's examine the given sentences:
• Sentence A: The sun began to rise over the horizon, promising a new day.
• This sentence correctly uses the word "rise" to describe the sun moving upward from the horizon.
• Sentence B: Her determination allowed her to rise up the book to the top of her class.
• This sentence incorrectly uses the word "rise". The phrase "rise up the book" is not a correct or standard usage.
• Sentence C: They experienced a significant rise in their technological capabilities.
• This sentence correctly uses the word "rise" to describe an increase in technological capabilities.
• So, both sentences A and C correctly use the word "rise", while sentence B does not.

Therefore, the correct answer is "Both A & C."

The correct answer is BCA.

Key Points

• Task: job or duty
• Ability: capacity
• Coordinate: to harmonize or work together

Important Points

We may consider A, B, and C to be three blanks. A is the first blank, B is the second, and C is the third.

• Team management is a skill. Therefore, the word 'ability' is appropriate for the first blank.
• A verb is required for the second blank. The word 'coordinate' is appropriate for the first blank because coordination is important in order to manage a team.
• The word 'task' is appropriate for the last blank because a task can be performed.

<br>

The correct sentence will be: Team management is the ability of an individual or an organization to administer and coordinate a group of individuals to perform a task.

The correct answer is BAC.

Key Points

• Buried: hidden underground
• Unearthed: bring to the surface
• Eruption: a sudden outbreak of something

Important Points

We may consider A, B, and C to be three blanks. A is the first blank, B is the second, and C is the third.

• The word 'unearthed' is appropriate for the first blank because the archaeologists have found something. Thus the word 'unearthed' is appropriate for the first blank.
• The word 'buried' is appropriate for the second blank because the archaeologists have discovered something which was hidden. Thus the word 'buried' is appropriate for the second blank.
• The word 'eruption' is appropriate for the last blank because the phrase 'volcanic eruption' is grammatically and contextually meaningful. Thus, the correct choice is 'eruption.

<br>

The correct sentence will be:  Archaeologists have unearthed a unique Roman ceremonial carriage from a villa just outside Pompeii, the city buried in a volcanic eruption in 79 AD.

The correct answer is CBA.

Key Points

• Services: act of assistance
• Usage: the act of using something
• Amplified: expanded or developed

Important Points

 We may consider A, B, and C to be three blanks. A is the first blank, B is the second, and C is the third.

• The past participle form of the verb**(Verb³)** is required for the first blank because 'has' is used before it. Thus, the correct choice is 'amplified' which is the 'verb³' form.
• The definite article 'the' suggests that a noun is required for the second blank. Hence, the word 'usage' which is a noun is appropriate for the second blank.
• The word 'services' is appropriate for the third blank because the phrase 'digital payments services' is contextually meaningful. Thus the correct choice is 'services'.

<br>

The correct sentence will be: The pandemic has amplified the usage of digital payment services.

The correct answer is 'rights, moderate.'

Key Points

• The given sentence is talking about buying something related to the film of a novel at some cost.
• ​Let us explore the words in the given options:
• 'Rights' means moral or legal entitlements to have or do something.
• 'Moderate' means average in amount.

<br>

Conclusion: To buy the legal entitlements of a novel to convert it into a film at an average rate or cost.

Hence, the correct answer is option 2.

Complete Sentence: At last, I bought the film rights of a novel at a moderate cost.

Additional Information

• The meaning of other options:
• 'Wrongs' means unjust, dishonest, or immoral acts.
• 'Rigorous' means harsh and demanding.
• 'Left' means on, towards, or relating to the side of a human body or of a thing that is to the west when the person or thing is facing north.
• 'Radical' means very great; complete.
• 'Impair' means to damage something or make it weaker.
• 'Offensive' means unpleasant; insulting.
• 'Spoil' means to change something good into something bad, unpleasant, useless, etc.
• 'Deliberate' means done on purpose; planned.

The correct answer is 'recognized, distort.'

Key Points

• The given sentence is talking about a prank caller.
• ​Let us explore the words in the given options:
• 'Recognized' means to know again somebody or something that you have seen or heard before.
• 'Distort' means to change something and show it falsely.

<br>

Conclusion: The prankster changed his voice using some technology so that no one can identify him.

Hence, the correct answer is option 1.

Complete Sentence: In order to not be recognized, the prank caller used technology to distort his voice.

Additional Information

• The meaning of other options:
• 'Complicate' means to make something difficult to understand or deal with. (जटिल करना)
• 'Disreputable' means not to be trusted; well known for being bad or dishonest. (कुख्यात)
• 'Interpret' means to explain or understand the meaning of something.(अनुवाद करना, व्याख्या करना)
• Defamed' means to harm somebody by saying or writing bad or false things about him or her. (बदनाम)
• 'Deface' means to spoil the way something looks by writing on or marking its surface.(बिगाड़ना, अस्त-व्यस्त करना)
• 'Hail' means to proclaim that somebody or something is very good or very special. (अभिवादन करना)
• 'Illuminate' means help to clarify or explain.(प्रकाशित करना, रोशन करना)
• 'Condemn' means to express complete disapproval of something. (निंदा करना)

The correct answer is 'greedy, ​stole.'

Key Points

• The given sentence is talking about a billionaire who always looks for increasing his money.
• ​Let us explore the words in the given options:
• 'Greedy' means having or showing an intense and selfish desire for wealth or power.
• 'Stole' means to take something from a person, shop, etc. without permission and without intending to return it or pay for it.

<br>

Conclusion: Even though the billionaire had lots of money he still always showed an intense and selfish desire for wealth.

Hence, the correct answer is option 3.

Complete Sentence: The greedy billionaire had plenty of money but still stole from anyone who could increase his wealth.

Additional Information

• The meaning of other options:
• 'Crept' means to move very quietly and carefully so that nobody will notice you.
• 'Content' means to accept something even though it was not exactly what you wanted.
• 'Lurked' means to wait somewhere secretly especially in order to do something bad or illegal.
• 'Sated' means supplying someone with as much as or more of something that is desired or can be managed.
• 'Crawled' means to be very polite or pleasant to somebody in order to be liked or to gain something.
• 'Averse' means against or not in favor of something.
• 'Slid' means to move or proceed smoothly and readily.
• 'Impassive' means showing no emotion or reaction.

The correct answer is 'elite, perform.'

Key Points

• The given sentence is talking about the complex surgery on the president​ by some group of surgeons.
• ​Let us explore the words in the given options:
• 'Elite' means a social group that is thought to be the best or most important because of its power, money, intelligence, etc.
• 'Perform' means to do a piece of work or something that you have been ordered to do.

<br>

Conclusion: The best group of surgeons to do the complex surgery on the president.

Hence, the correct answer is option 4.

Complete Sentence: An elite group of surgeons will perform the complex surgery on the president.

Additional Information

• The meaning of other options:
• 'Backfire' means to have an unexpected and unpleasant result, often the opposite of what was intended.
• 'Coarse' means (used about a person or his/her behavior) rude, likely to offend people; having bad manners.
• 'Fizzle' means end or fail in a weak or disappointing way.
• 'Gross' means very rude and unpleasant.
• 'Influencing' means to have an effect on or power over somebody/something so that he/she/it changes.
• 'Inferior' means low or lower in social position, importance, quality, etc.
• 'Redound' means to contribute greatly to a person's credit or honor.
• 'Mediocre' means of only average quality; not very good.

The correct answer is 'Sentence A'.

Key Points

• Sentence C introduces the origin of the Ashes legend by referring to the historic 1882 Test.
• Sentence B follows by introducing the 1882 Test match played at the Oval.
• Sentence F narrates the decisive moment of the match when Peate, the last batsman, was bowled out, resulting in England's defeat.
• Sentence D naturally follows because it describes the immediate reaction of the crowd after England's loss.
• Sentence E then presents the reaction of the British press.
• Sentence A concludes the paragraph by mentioning that Peate was scolded by his captain after the match.

The correct sequence is: C → B → F → D → E → A.

Therefore, the SIXTH sentence after rearrangement is Sentence A.

Additional Information

• When arranging a paragraph:
• Begin with the introductory statement.
• Follow the chronological sequence of events.
• Place immediate reactions after the main event.
• End with later reactions or concluding remarks.

The correct answer is 'Sentence E'.

Key Points

• Sentence C introduces the topic by mentioning the origin of the Ashes legend.
• Sentence B follows by introducing the 1882 Test match at the Oval.
• Sentence F describes the decisive moment when Peate was bowled out, resulting in England's defeat.
• Sentence D naturally follows, describing the crowd's reaction after Australia's victory.
• Sentence E comes next, explaining the reaction of the British press, which praised Australia and criticized England.
• Finally, Sentence A concludes the passage by mentioning that Peate was scolded by his captain for not allowing Studd to face the bowling.

The correct sequence is: C → B → F → D → E → A.

Therefore, the FIFTH sentence is Sentence E.

Additional Information

• When solving sentence rearrangement questions:
• Identify the introductory sentence.
• Arrange the events in chronological order.
• Place reactions and consequences after the main incident.
• End with concluding remarks or specific outcomes.

The correct answer is 'Sentence D'.

Key Points

• Sentence C introduces the origin of the Ashes legend by referring to the historic 1882 Test.
• Sentence B follows by introducing the 1882 Test match played at the Oval.
• Sentence F narrates the decisive moment of the match when Peate, the last batsman, was bowled out, resulting in England's defeat.
• Sentence D naturally follows because it describes the immediate reaction of the crowd after England's loss.
• Sentence E then presents the reaction of the British press.
• Sentence A concludes the paragraph by mentioning that Peate was scolded by his captain after the match.

The correct sequence is: C → B → F → D → E → A.

Therefore, the FOURTH sentence after rearrangement is Sentence D.

Additional Information

• When arranging a paragraph:
• Begin with the introductory statement.
• Follow the chronological sequence of events.
• Place immediate reactions after the main event.
• End with later reactions or concluding remarks.

The correct answer is 'Sentence F'.

Key Points

• Sentence C introduces the origin of the Ashes legend by referring to the historic 1882 Test.
• Sentence B follows by introducing the 1882 Test match played at the Oval.
• Sentence F narrates the decisive moment of the match when Peate, the last batsman, was bowled out, resulting in England's defeat.
• Sentence D naturally follows because it describes the immediate reaction of the crowd after England's loss.
• Sentence E then presents the reaction of the British press.
• Sentence A concludes the paragraph by mentioning that Peate was scolded by his captain after the match.

The correct sequence is: C → B → F → D → E → A.

Therefore, the THIRD sentence after rearrangement is Sentence F.

Additional Information

• When arranging a paragraph:
• Begin with the introductory statement.
• Follow the chronological sequence of events.
• Place immediate reactions after the main event.
• End with later reactions or concluding remarks.

The correct answer is 'Sentence B'.

Key Points

• Sentence C introduces the topic by explaining when the first Test match was played and how the Ashes legend began after the 1882 Test.
• Sentence B naturally follows because it introduces the specific 1882 Test match at the Oval, which is mentioned in Sentence C.
• Sentence F then describes the climax of the match, where Peate was bowled out, leading to England's defeat.
• Sentence D follows by describing the crowd's reaction after Australia's victory.
• Sentence E explains the reaction of the British press to England's defeat.
• Sentence A concludes the passage by mentioning the criticism of Peate by his captain after the match.

The correct sequence is: C → B → F → D → E → A.

Therefore, the SECOND sentence is Sentence B.

Additional Information

• In sentence rearrangement:
• Start with the introductory sentence.
• Follow the chronological order of events.
• Place reactions and consequences after the main event.
• Look for logical links through time expressions and pronoun references.

Number of students in commerce department is 70 more than the number of students in 2017.

So, 30%  - 20% = 70

Or, 10% = 70

Or, 100% = 700

So, total number of students in commerce department is 700.

Number of students in commerce department in 2017  is  700 × 20/100 = 140

Number of students in science department in 2017 is 140 – 40 = 100

So, number of student in 2017 in two department together is 140 + 100 = 240.

Total value of pie chart is 100%

So, 12% + x% + 30% + 25% + [x-3]% = 100

Or, 2x = 100 – 12 – 30 -25 +3 = 36

Or, x = 36 /2 = 18

So, Percentage of students in science and commerce department together in 2017 is 18 – 3 = 15%

So, 15% = 240

Or, 100% = [ 240/15] ×100 =1600

 

Calculation

Number of female students in 2016 science department is 190 × 2/5 = 76

So, 4m = 76, m = 76 / 4 = 19

Number of students in commerce department is 70 more than the number of students in 2017.

So, 30%  - 20% = 70

Or, 10% = 70

Or, 100% = 700

So, total number of students in commerce department is 700.

Number of students in commerce department in 2017  is  700 × 20/100 = 140

Number of students in science department in 2017 is 140 – 40 = 100

So, number of student in 2017 in two department together is 140 + 100 = 240.

Total value of pie chart is 100%

So, 12% + x% + 30% + 25% + [x-3]% = 100

Or, 2x = 100 – 12 – 30 -25 +3 = 36

Or, x = 36 /2 = 18

So, Percentage of students in science and commerce department together in 2017 is 18 – 3 = 15%

So, 15% = 240

Or, 100% = [ 240/15] ×100 =1600

 

Calculation

Number of students in arts department in 2014 is 5x + 20 = 5 ×18 + 20 = 110

So, required difference is 204 – 110 = 94

Number of students in commerce department is 70 more than the number of students in 2017.

So, 30%  - 20% = 70

Or, 10% = 70

Or, 100% = 700

So, total number of students in commerce department is 700.

Number of students in commerce department in 2017  is  700 × 20/100 = 140

Number of students in science department in 2017 is 140 – 40 = 100

So, number of student in 2017 in two department together is 140 + 100 = 240.

Total value of pie chart is 100%

So, 12% + x% + 30% + 25% + [x-3]% = 100

Or, 2x = 100 – 12 – 30 -25 +3 = 36

Or, x = 36 /2 = 18

So, Percentage of students in science and commerce department together in 2017 is 18 – 3 = 15%

So, 15% = 240

Or, 100% = [ 240/15] ×100 =1600

 

Calculation

Number of students in science department is 190

Number of students in commerce department is 210.

So, required ratio = 190 : 210 = 19:21 = m : n

So, m = 19, n = 21

So, 3m + 4n =3×19 + 4 ×21 = 141

Number of students in commerce department is 70 more than the number of students in 2017.

So, 30%  - 20% = 70

Or, 10% = 70

Or, 100% = 700

So, total number of students in commerce department is 700.

Number of students in commerce department in 2017  is  700 × 20/100 = 140

Number of students in science department in 2017 is 140 – 40 = 100

So, number of student in 2017 in two department together is 140 + 100 = 240.

Total value of pie chart is 100%

So, 12% + x% + 30% + 25% + [x-3]% = 100

Or, 2x = 100 – 12 – 30 -25 +3 = 36

Or, x = 36 /2 = 18

So, Percentage of students in science and commerce department together in 2017 is 18 – 3 = 15%

So, 15% = 240

Or, 100% = [ 240/15] ×100 =1600

 

Calculation

Total number of students in science department in 2014 and 2015 is 204 + 340 = 544

Total number of students in commerce department in 2014 and 2015 is

84 + 140 = 224

So, required difference 544 – 224 = 320

Number of students in commerce department is 70 more than the number of students in 2017.

So, 30%  - 20% = 70

Or, 10% = 70

Or, 100% = 700

So, total number of students in commerce department is 700.

Number of students in commerce department in 2017  is  700 × 20/100 = 140

Number of students in science department in 2017 is 140 – 40 = 100

So, number of student in 2017 in two department together is 140 + 100 = 240.

Total value of pie chart is 100%

So, 12% + x% + 30% + 25% + [x-3]% = 100

Or, 2x = 100 – 12 – 30 -25 +3 = 36

Or, x = 36 /2 = 18

So, Percentage of students in science and commerce department together in 2017 is 18 – 3 = 15%

So, 15% = 240

Or, 100% = [ 240/15] ×100 =1600

 

Calculation

Total number of students in science department in five year is 1600 – 700 = 900

So, average is 900 / 5 = 180

So, Number of students in science department in 2018  is 180 + 25 = 205

Shortcut Trick

Let initial quantity be 15x and final be 11x.

Change in quantity: 15x − 28 + 16 = 11x ⇒ 4x = 12 ⇒ x = 3.

Initial mixture = 15 × 3 = 45 liters. Final mixture = 11 × 3 = 33 liters.

Final Water = Final Mixture − Final Milk = 33 − 26.2 = 6.8 liters.

Since 16L milk was added, water quantity remains same after taking out 28L: Water in (45−28)L = 6.8L.

Initial water % = (6.8 / 17) × 100 = 40%.

∴ The correct answer is 40%.

Alternate Method

Given: Initial/Final ratio = 15:11, Removal = 28L, Addition (Milk) = 16L, Final Milk = 26.2L.

⇒ Let initial quantity = 15x and final quantity = 11x.

⇒ 15x − 28 + 16 = 11x

⇒ 4x = 12 ⇒ x = 3

⇒ Total initial quantity = 45 liters; Total final quantity = 33 liters.

⇒ Water in final mixture = 33 − 26.2 = 6.8 liters.

⇒ Since only milk was added, water in (45 − 28) = 17 liters of mixture is 6.8 liters.

⇒ Initial water ratio = 6.8 / 17 = 0.4

⇒ Initial water percentage = 0.4 × 100 = 40%

∴ The correct answer is 40%.

Additional Information

Mixture Removal Property

When a part of a mixture is removed, the ratio of ingredients in the remaining mixture and the removed portion remains the same as the initial ratio.

Replacement with Single Liquid

If only one component (e.g., milk) is added back, the quantity of the other component (water) in the mixture remains constant between the removal step and the final step.

Percentage Composition

Percentage of a component = (Quantity of component ÷ Total quantity of mixture) × 100.

Shortcut Trick

Ratio of CSA: πrl / 4πR² = 7 / 100

Given Slant height (l) = Radius of sphere (R) and r = 14 m.

Substituting: 14 × R / (4 × R²) = 7 / 100 ⇒ 14 / (4R) = 7 / 100 ⇒ 1 / (2R) = 1 / 100 ⇒ R = 50 m.

So, l = 50 m. Since r = 14 m, height (h) = √(50² − 14²) = 48 m.

Difference = 48 − 14 = 34 m.

∴ The correct answer is 34 m.

Alternate Method

Given: Radius of cone (r) = 14 m, Slant height (l) = Radius of sphere (R).

Formula Used: CSA of cone = πrl; CSA of sphere = 4πR²; l² = h² + r²

⇒ π × 14 × l = (7 / 100) × 4 × π × R²

⇒ 14 × l = (7 / 100) × 4 × l² (Since l = R)

⇒ 14 = (28 / 100) × l

⇒ l = (14 × 100) ÷ 28

⇒ l = 50 m

⇒ h² = l² − r² = 50² − 14²

⇒ h² = 2500 − 196 = 2304

⇒ h = √2304 = 48 m

⇒ Difference = h − r = 48 − 14 = 34 m

∴ The correct answer is 34 m.

Additional Information

Volume of Cone and Sphere

Volume of cone = (1/3)πr²h and Volume of sphere = (4/3)πR³.

Pythagorean Triplets

Common triplets like (7, 24, 25) can be scaled by 2 to get (14, 48, 50) for quick cone calculations.

Total Surface Area (TSA)

TSA of Cone = πr(l + r). Sphere TSA is same as its CSA = 4πR².

Shortcut Trick Given Difference R − P = 4 and Product P × R = P2 + 56. Substitute R = P + 4 ⇒ P(P + 4) = P2 + 56 ⇒ 4P = 56 ⇒ P = 14. Then R = 18. Ratio P : (Q + R) = 2 : 5 ⇒ 14 : (Q + 18) = 2 : 5. 7 × 5 = Q + 18 ⇒ 35 = Q + 18 ⇒ Q = 17. Product P × Q = 14 × 17 = 238. ∴ The correct answer is 238. Alternate Method

Given: P < Q < R, R − P = 4, PR = P2 + 56, P : (Q + R) = 2 : 5 ⇒ PR − P2 = 56 ⇒ P(R − P) = 56 ⇒ P × 4 = 56 ⇒ P = 14 ⇒ R = 14 + 4 = 18 ⇒ P / (Q + R) = 2 / 5 ⇒ 14 / (Q + 18) = 2 / 5 ⇒ 7 / (Q + 18) = 1 / 5 ⇒ Q + 18 = 35 ⇒ Q = 17 ⇒ Product P × Q = 14 × 17 = 238 ∴ The correct answer is 238. Additional Information Ratio and Proportion Properties If a : b = c : d, then product of extremes equals product of means (a × d = b × c). Algebraic Identities Difference of squares: a2 − b2 = (a − b)(a + b). Factoring common terms often simplifies product equations. Linear Equations System of equations with 3 variables requires 3 independent conditions for a unique solution.

For shop A,

Let number of volleyball and football sold in shop A is 3x and 7x respectively.

So, difference between number of volleyball and football sold is 40

So, 7x – 3x = 40

Or, 4x = 40

Or, x = 40 / 4 = 10

So, Number of volleyballs sold in shop A is 3 × 10 = 30

Number of footballs sold in shop A is 7 × 10 = 70

Number of basketballs sold in shop A is 140 – 70 – 30 = 40

Calculation

Number of red color volleyball sold in shop A is 30 × 60 /100 = 18

Number of red color volleyball sold in shop B is 42 -18 = 24

Number of white color volleyball sold in shop B is 60 – 24 = 36

For shop A,

Let number of volleyball and football sold in shop A is 3x and 7x respectively.

So, difference between number of volleyball and football sold is 40

So, 7x – 3x = 40

Or, 4x = 40

Or, x = 40 / 4 = 10

So, Number of volleyballs sold in shop A is 3 × 10 = 30

Number of footballs sold in shop A is 7 × 10 = 70

Number of basketballs sold in shop A is 140 – 70 – 30 = 40

 

Calculation

Number of volleyballs sold in shop E 40

Number of basket ball sold in shop E is 50

So, x = 50 - 40 = 10

So, total number of basketballs sold in shop D and E together is 40 + 50 = 90 = 9x

For shop A,

Let number of volleyball and football sold in shop A is 3x and 7x respectively.

So, difference between number of volleyball and football sold is 40

So, 7x – 3x = 40

Or, 4x = 40

Or, x = 40 / 4 = 10

So, Number of volleyballs sold in shop A is 3 × 10 = 30

Number of footballs sold in shop A is 7 × 10 = 70

Number of basketballs sold in shop A is 140 – 70 – 30 = 40

 

Calculation

 

Sum of football sold in shop A and B is 70 + 50 = 120

Sum of volleyball sold in shop B and C is 60 +50 = 110

So, m = 120  and n = 110

So, m + n = 120 + 110 = 230

For shop A,

Let number of volleyball and football sold in shop A is 3x and 7x respectively.

So, difference between number of volleyball and football sold is 40

So, 7x – 3x = 40

Or, 4x = 40

Or, x = 40 / 4 = 10

So, Number of volleyballs sold in shop A is 3 × 10 = 30

Number of footballs sold in shop A is 7 × 10 = 70

Number of basketballs sold in shop A is 140 – 70 – 30 = 40

 

Calculation:

Number of balls sold in shop F is 160 × [100 + 20] /100 = 192

Number of volleyball and basketball sold in shop F is 192 × 50/100 = 96

For shop A,

Let number of volleyball and football sold in shop A is 3x and 7x respectively.

So, difference between number of volleyball and football sold is 40

So, 7x – 3x = 40

Or, 4x = 40

Or, x = 40 / 4 = 10

So, Number of volleyballs sold in shop A is 3 × 10 = 30

Number of footballs sold in shop A is 7 × 10 = 70

Number of basketballs sold in shop A is 140 – 70 – 30 = 40

 

Calculation:

Number of bat sold in shop D is 120 × 3 /4 = 90

Number of bat sold in shop B is 50 × 3 /2 = 75

So, total number of bats sold in shop B and D together is 90 + 75 = 165

Concept used :

Follow the BODMAS rule according to the table given below:

Calculation:

⇒ 79.96% of 200.20 + 50.10 x 3.11 = ? + 25.20% of 60.13

⇒ 80/100 x 200 + 50 x 3 = ? + 25/100 x 60

⇒ 160 + 150 = ? + 15

⇒ 310 = ? + 15

⇒ ? = 295

Hence, the correct answer is option 3.

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is

38.98 ÷ 12.99 × 16.97 + 43.94 = ? + 99.99 ÷ 4.97 × 6.98

⇒ 39 ÷ 13 × 17 + 44 = ? + 100 ÷ 5 × 7

⇒ 3 × 17 + 44 = ? + 20 × 7

⇒ 51 + 44 = ? + 140

⇒ 95 = ? + 140

⇒ 95 - 140 = ?

⇒ ? = - 45

Hence, -45 will come in the place of (?).

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is

49.99 + ? ÷ 15.01 + 230.05 + 14.98% of 599.99 = 340.08

⇒ 50 + ? ÷ 15 + 230 + 15% of 600 = 340

⇒ 50 + ? ÷ 15 + 230 + 90 = 340

⇒ ? ÷ 15 + 370 = 340

⇒ ? ÷ 15 = - 30

⇒ ? = - 30 x 15

⇒ ? = -450

Hence, -450 will come in the place of (?).

Shortcut Trick

Ratio of CI Amounts: [12000 × (1 + r)²] ÷ [10000 × (1 + r)³] = 12/11

1.2 ÷ (1 + r) = 12/11 ⇒ 1 + r = 1.1 ⇒ r = 10%

New SI Rate = 10% + 5% = 15%

SI Amount = 8000 + (8000 × 15% × 3) = 8000 + 3600 = 11600

∴ The correct answer is Rs. 11600.

Alternate Method

Given: P₁ = Rs. 12000, T₁ = 2 years, P₂ = Rs. 10000, T₂ = 3 years, Ratio of Amounts = 12:11, New P = Rs. 8000, New T = 3 years, New Rate = (x + 5)%.

Formula Used: Amount (CI) = P(1 + r/100)ⁿ; Amount (SI) = P + (P × r × t)/100

⇒ [12000(1 + x/100)²] / [10000(1 + x/100)³] = 12 / 11

⇒ [1.2] / [1 + x/100] = 12 / 11

⇒ 1 + x/100 = (1.2 × 11) / 12 = 1.1

⇒ x/100 = 0.1 ⇒ x = 10%

⇒ New Rate = 10 + 5 = 15%

⇒ SI = (8000 × 15 × 3) / 100 = 3600

⇒ Total Amount = 8000 + 3600 = 11600

∴ The correct answer is Rs. 11600.

Additional Information

CI Amount Formula

The amount in Compound Interest is given by A = P(1 + r/100)ⁿ, where n is the number of conversion periods.

SI Amount Formula

The amount in Simple Interest is A = P + SI = P(1 + rt/100), where interest is calculated only on the principal.

Successive Ratio in CI

The ratio of amounts for successive years (n and n+1) in CI is always (1 + r/100).

Shortcut Trick

Ratio of A : B is 4 : 5. After x years, it becomes 5 : 6. Difference in parts (5−4 = 1, 6−5 = 1) is same, so 1 unit = x.

Ratio of B : C is 5 : 3. Before y years, it was 3 : 1. Difference in parts (5−3 = 2, 3−1 = 2) is same, so 2 units = y.

Given y = x + 5 ⇒ 2 units = 1 unit + 5 ⇒ 1 unit = 5 years.

Sum of present ages (4 + 5 + 3) = 12 units = 12 × 5 = 60 years.

∴ The correct answer is 60 years.

Alternate Method

Given: Ratio of present ages A : B : C = 4 : 5 : 3. Let common factor be k.

Formula: Ratio = (Initial age ± change) / (Initial age ± change)

⇒ For A and B: (4k + x) / (5k + x) = 5 / 6

⇒ 24k + 6x = 25k + 5x ⇒ x = k

⇒ For B and C: (5k − y) / (3k − y) = 3 / 1

⇒ 5k − y = 9k − 3y ⇒ 2y = 4k ⇒ y = 2k

⇒ Given y = x + 5 ⇒ 2k = k + 5 ⇒ k = 5

⇒ Sum of present ages = 4k + 5k + 3k = 12k

⇒ Total Age = 12 × 5 = 60 years

∴ The correct answer is 60 years.

Additional Information

Ratio Difference Method

When the same quantity is added or subtracted from both terms of a ratio, the difference between the ratio terms must be made equal to maintain proportionality.

Age Problems Property

The difference between the ages of two people always remains constant, regardless of how many years pass or have passed.

Shortcut Trick

Time taken for the second half of the journey = 420 ÷ 140 = 3 hours.

Remaining time for the first half of the journey = 6.5 − 3 = 3.5 hours.

Speed p = 420 ÷ 3.5 = 120 km/hr.

Time taken to cover 600 km at 120 km/hr = 600 ÷ 120 = 5 hours.

∴ The correct answer is 5 hours.

Alternate Method

Given: First distance = 420 km, Speed = p km/hr; Second distance = 420 km, Speed = 140 km/hr; Total time = 6 hours 30 minutes = 6.5 hours.

Formula Used: Time = Distance ÷ Speed

⇒ Total Time = Time₁ + Time₂

⇒ 6.5 = (420 ÷ p) + (420 ÷ 140)

⇒ 6.5 = (420 ÷ p) + 3

⇒ 420 ÷ p = 3.5

⇒ p = 420 ÷ 3.5 = 120 km/hr

⇒ Time taken to cover 600 km at speed p = 600 ÷ 120 = 5 hours

∴ The correct answer is 5 hours.

Additional Information

Average Speed for Equal Distances

When a body travels equal distances at speeds x and y, the average speed is given by 2xy ÷ (x + y).

Unit Conversion

To convert speed from km/hr to m/s, multiply by 5/18. To convert from m/s to km/hr, multiply by 18/5.

Shortcut Trick

Profit = 1.5001 × Discount ≈ 1.5 × 1920.25 ≈ 2880.57.

Profit% ≈ 29.85% ⇒ CP = Profit ÷ 0.2985 ≈ 2880.57 ÷ 0.2985 ≈ 9650.

SP = CP + Profit ≈ 9650 + 2880.57 ≈ 12530.57.

MP = SP + Discount ≈ 12530.57 + 1920.25 ≈ 14450.82.

Discount% = (Discount ÷ MP) × 100 ≈ (1920.25 ÷ 14450.82) × 100 ≈ 13.28%.

∴ The correct answer is 13%.

Alternate Method

Given → Discount (D) ≈ 1920.25, Profit% (P%) ≈ 29.85%, Profit (P) ≈ 1.5001 × D. Formulas: P = SP − CP | P% = (P ÷ CP) × 100 | MP = SP + D | Discount% = (D ÷ MP) × 100.

⇒ Profit = 1920.25 + (50.01% of 1920.25) ≈ 1920.25 + 960.32 = 2880.57. ⇒ CP = (Profit ÷ Profit%) × 100 ≈ (2880.57 ÷ 29.85) × 100 ≈ 9650.15. ⇒ SP = CP + Profit ≈ 9650.15 + 2880.57 = 12530.72. ⇒ MP = SP + Discount ≈ 12530.72 + 1920.25 = 14450.97. ⇒ Discount% = (1920.25 ÷ 14450.97) × 100 ≈ 13.287%.

∴ The correct answer is 13%.

Additional Information

Marked Price & Discount

Discount is always calculated on the Marked Price (MP). MP = SP + Discount.

Profit Calculation

Profit is always calculated on the Cost Price (CP) unless stated otherwise. SP = CP + Profit.

Shortcut Trick

Ratio of investments of A, B, and C is 2800 : 3600 : 4000 = 7 : 9 : 10.

Profit ratio = Investment × Time. Let C stay for x months.

Ratio of Profit (A : B : C) = (7 × 12) : (9 × 12) : (10 × x) = 84 : 108 : 10x.

Total Profit = 84 + 108 + 10x = 192 + 10x.

Given: C's share / Total share = 10x / (192 + 10x) = 5 / 17.

Solving: 170x = 5(192 + 10x) ⇒ 170x = 960 + 50x ⇒ 120x = 960 ⇒ x = 8.

∴ The correct answer is 8 months.

Alternate Method

Given → Investment of A = Rs. 2800, B = Rs. 3600, C = Rs. 4000. Time for A and B = 12 months. Time for C = x months. Formulas: Profit Ratio = (I₁ × T₁) : (I₂ × T₂) : (I₃ × T₃) | Profit Share% = (Individual Profit / Total Profit) × 100

⇒ Profit A = 2800 × 12 = 33600 ⇒ Profit B = 3600 × 12 = 43200 ⇒ Profit C = 4000 × x = 4000x ⇒ Total Profit = 33600 + 43200 + 4000x = 76800 + 4000x ⇒ According to question: 4000x / (76800 + 4000x) = 5 / 17 ⇒ 800x / (15360 + 800x) = 5 / 17 (Dividing numerator and denominator by 5) ⇒ 13600x = 5 × 15360 + 4000x ⇒ 9600x = 76800 ⇒ x = 768 / 96 = 8.

∴ The correct answer is 8.

Additional Information

Partnership Basics

When time periods are different, the profit is distributed in the ratio of the product of capital and time (Investment × Time).

Ratio of Profit

If P is profit, I is investment, and T is time, then P₁ : P₂ = (I₁ × T₁) : (I₂ × T₂).

Shortcut Trick

Combined efficiency (A+B) = 1/12 and (A+B+C) = 1/6.

Efficiency of C = (A+B+C) − (A+B) = 1/6 − 1/12 = 1/12.

Time taken by C alone = 12 days. Given C = R + 8 ⇒ R = 4.

Efficiency of A = (3/4) × Efficiency of (A+B) = (3/4) × (1/12) = 1/16.

Time taken by A = 16 days = 4 + 12 = R + 12 days.

∴ The correct answer is R + 12 days.

Alternate Method

Given: Efficiency ratio A : B = 3 : 1.

⇒ Efficiency of C = (A+B+C) − (A+B) = 2 − 1 = 1 unit/day.

⇒ Time taken by C alone = Total Work ÷ Efficiency = 12 ÷ 1 = 12 days.

⇒ According to question, C takes R + 8 days ∴ R + 8 = 12 ⇒ R = 4.

⇒ Total efficiency of (A+B) = 1 unit/day. Dividing in ratio 3 : 1:

⇒ Efficiency of A = 1 × (3 ÷ (3+1)) = 3/4 = 0.75 units/day.

⇒ Time taken by A alone = 12 ÷ 0.75 = 16 days.

⇒ Expressing 16 in terms of R: 16 = 4 + 12 = R + 12.

∴ The correct answer is R + 12 days.

Additional Information

Efficiency and Time Relationship

Efficiency is inversely proportional to the time taken to complete a work. If the ratio of efficiency is x:y, the ratio of time taken is y:x.

Work and Wages

Wages are always distributed in the ratio of the work done or in the ratio of efficiencies if all persons work for the same duration.

Pipes and Cisterns

This concept follows the same logic as Time and Work, where an inlet pipe has positive efficiency and an outlet pipe has negative efficiency.

Difference between number of male teachers in school A and B is 10.

Ratio of number of male teachers in school A and B is 4:5.

So, we can say number of male teachers in school A is 4 × 10 = 40

Number of female teachers in school B is 5 ×10 = 50

Number of female teachers in school A is 40 + 4 = 44

Number of female teacher in school B is 50 × 13 /10 = 65

Number of male teachers in school C is 44 + 4 = 48

Number of female teachers in school C is 50 + 2 = 52

 

Calculation

Total number of teacher in school A and B together is 40 + 44 + 50 +65 = 199 = m +35

So, m = 199 -35 = 164

Difference between number of male teachers in school A and B is 10.

Ratio of number of male teachers in school A and B is 4:5.

So, we can say number of male teachers in school A is 4 × 10 = 40

Number of female teachers in school B is 5 ×10 = 50

Number of female teachers in school A is 40 + 4 = 44

Number of female teacher in school B is 50 × 13 /10 = 65

Number of male teachers in school C is 44 + 4 = 48

Number of female teachers in school C is 50 + 2 = 52

 

Calculation

Number of females married teacher in school B is 65 ×20/100 = 13

Number of females married teacher in school C is 52 ×25/100 = 13

So, required difference is 13 -13 = 0

Difference between number of male teachers in school A and B is 10.

Ratio of number of male teachers in school A and B is 4:5.

So, we can say number of male teachers in school A is 4 × 10 = 40

Number of female teachers in school B is 5 ×10 = 50

Number of female teachers in school A is 40 + 4 = 44

Number of female teacher in school B is 50 × 13 /10 = 65

Number of male teachers in school C is 44 + 4 = 48

Number of female teachers in school C is 50 + 2 = 52

 

Calculation

Total number of male teacher in school C and D is 41 × 2 = 82

Number of male teacher in school D is 82 – 48 = 34

So, total number male teacher in school B and D is 50 + 34  = 84

Difference between number of male teachers in school A and B is 10.

Ratio of number of male teachers in school A and B is 4:5.

So, we can say number of male teachers in school A is 4 × 10 = 40

Number of female teachers in school B is 5 ×10 = 50

Number of female teachers in school A is 40 + 4 = 44

Number of female teacher in school B is 50 × 13 /10 = 65

Number of male teachers in school C is 44 + 4 = 48

Number of female teachers in school C is 50 + 2 = 52

 

Calculation

Number of male sub staff in school B is 50 × 12/100 =6

Number of female sub staff in school B is  6 + 8 = 14

Difference between number of male teachers in school A and B is 10.

Ratio of number of male teachers in school A and B is 4:5.

So, we can say number of male teachers in school A is 4 × 10 = 40

Number of female teachers in school B is 5 ×10 = 50

Number of female teachers in school A is 40 + 4 = 44

Number of female teacher in school B is 50 × 13 /10 = 65

Number of male teachers in school C is 44 + 4 = 48

Number of female teachers in school C is 50 + 2 = 52

 

Calculation

Total age of all the teacher of school A is 48 × 40 + 44 × 34 = 3416

So, average age of teacher of school A is 3416 / 84 = 40.66

Shortcut Trick

Net change in total marks = (Sum of marks added) − (Sum of marks left)

Net change = 72.5 − (50.5 + 54.5) = 72.5 − 105 = −32.5

Let current number of students be n. Then initial students were n + 1 (as 2 left and 1 joined).

Total change = (New Avg × n) − (Old Avg × (n + 1)) ⇒ −32.5 = (65.5 × n) − (64 × (n + 1))

−32.5 = 1.5n − 64 ⇒ 1.5n = 31.5 ⇒ n = 21

∴ The correct answer is 21 students.

Alternate Method

Given: Initial Average = 64, Marks of leaving students = 50.5 and 54.5, Marks of joining student = 72.5, Average increase = 1.5.

Formula: Total = Average × Number of items

Let current number of students be x.

Number of students initially = x + 1 (Since 2 left and 1 joined, net change is −1).

⇒ Initial Total = 64 × (x + 1)

⇒ New Total = (64 + 1.5) × x = 65.5x

⇒ New Total = Initial Total − 50.5 − 54.5 + 72.5

⇒ 65.5x = 64(x + 1) − 105 + 72.5

⇒ 65.5x = 64x + 64 − 32.5

⇒ 65.5x − 64x = 31.5

⇒ 1.5x = 31.5

⇒ x = 31.5 ÷ 1.5 = 21

∴ The correct answer is 21 students.

Additional Information

Concept of Deviation

Net Change in Total = (Sum of added values − Sum of removed values). This net change is distributed among all current members to find the change in average.

Weighted Average

When two groups are combined, the combined average is (n₁A₁ + n₂A₂) ÷ (n₁ + n₂).

Inclusion and Exclusion

When a person joins, New Average × New Total Count = Old Average × Old Total Count + New Member Value.

Shortcut Trick

Perimeter equality: 4 × (a + 10) = 2 × (3a + a)

4a + 40 = 8a ⇒ 4a = 40 ⇒ a = 10

Square side = 20; Rectangle = 30 × 10

Difference = |20² − (30 × 10)| = |400 − 300| = 100

∴ The correct answer is 100 sq. units.

Alternate Method

Given: Side of square = a + 10, Length of rectangle (L) = 3a, Breadth (B) = a.

Formula: Perimeter of square = 4 × side; Perimeter of rectangle = 2(L + B).

⇒ 4(a + 10) = 2(3a + a)

⇒ 4a + 40 = 2(4a)

⇒ 4a + 40 = 8a

⇒ 4a = 40 ⇒ a = 10

⇒ Side of square = 10 + 10 = 20 units

⇒ Dimensions of rectangle = 30 units and 10 units

⇒ Area of square = 20 × 20 = 400 sq. units

⇒ Area of rectangle = 30 × 10 = 300 sq. units

⇒ Difference = 400 − 300 = 100 sq. units

∴ The correct answer is 100 sq. units.

Additional Information

Square Properties

Area = side² and Perimeter = 4 × side. All sides are equal and angles are 90°.

Rectangle Properties

Area = length × breadth and Perimeter = 2(length + breadth).

Isoperimetric Theorem

For a given perimeter, a square has a larger area than any other rectangle.

Shortcut Trick

Let Upstream speed be x km/hr. Then Downstream speed = x + 2 × Stream speed = x + 6 km/hr.

Time difference = 72/x − 72/(x + 6) = 2 hours.

Test options: If x = 12, then 72/12 − 72/18 = 6 − 4 = 2 hours. Condition satisfied.

∴ The correct answer is 12 km/hr.

Alternate Method

Given: Distance = 72 km, Speed of stream (v) = 3 km/hr, Time difference = 2 hours.

Formula: Time = Distance ÷ Speed

⇒ Let Speed of boat in still water = u km/hr.

⇒ Upstream speed = (u − 3) km/hr and Downstream speed = (u + 3) km/hr.

⇒ 72/(u − 3) − 72/(u + 3) = 2

⇒ 36 × [(u + 3) − (u − 3)] / [(u − 3)(u + 3)] = 1

⇒ 36 × 6 = u² − 9

⇒ 216 + 9 = u² ⇒ u² = 225 ⇒ u = 15 km/hr.

⇒ Upstream speed = u − 3 = 15 − 3 = 12 km/hr.

∴ The correct answer is 12 km/hr.

Additional Information

Downstream and Upstream Speed

Downstream speed (D) = u + v and Upstream speed (U) = u − v, where u is boat speed and v is stream speed.

Speed of Boat in Still Water

Boat speed (u) = (D + U) ÷ 2.

Speed of Current

Stream speed (v) = (D − U) ÷ 2.

1. Less than four persons sits to the right of G.

2. D sits third from the right end.                                     

3. Only two persons sits between B and H, who is an immediate neighbour of G.

4. B and A are immediate neighbour of J.        

5. H sits to the left of C. Therefore, case 2 and case 3 are eliminated.

6. Number of persons sits to the left of E is one less than right of F, who doesn’t sits at any extreme end. Hence, the final arrangement is as follows

 

Hence, correct answer is option 3.

1. Less than four persons sits to the right of G.

2. D sits third from the right end.                                     

3. Only two persons sits between B and H, who is an immediate neighbour of G.

4. B and A are immediate neighbour of J.        

5. H sits to the left of C. Therefore, case 2 and case 3 are eliminated.

6. Number of persons sits to the left of E is one less than right of F, who doesn’t sits at any extreme end. Hence, the final arrangement is as follows

Hence, correct answer is option 5.

1. Less than four persons sits to the right of G.

2. D sits third from the right end.                                     

3. Only two persons sits between B and H, who is an immediate neighbour of G.

4. B and A are immediate neighbour of J.        

5. H sits to the left of C. Therefore, case 2 and case 3 are eliminated.

6. Number of persons sits to the left of E is one less than right of F, who doesn’t sits at any extreme end. Hence, the final arrangement is as follows

Except JD pair in all other first person is second to the left of first person where in JD, J is fourth left of D.

Hence, correct answer is option 4.

1. Less than four persons sits to the right of G.

2. D sits third from the right end.                                     

3. Only two persons sits between B and H, who is an immediate neighbour of G.

4. B and A are immediate neighbour of J.        

5. H sits to the left of C. Therefore, case 2 and case 3 are eliminated.

6. Number of persons sits to the left of E is one less than right of F, who doesn’t sits at any extreme end. Hence, the final arrangement is as follows

Hence, correct answer is option 4.

1. Less than four persons sits to the right of G.

2. D sits third from the right end.                                     

3. Only two persons sits between B and H, who is an immediate neighbour of G.

4. B and A are immediate neighbour of J.        

5. H sits to the left of C. Therefore, case 2 and case 3 are eliminated.

6. Number of persons sits to the left of E is one less than right of F, who doesn’t sits at any extreme end. Hence, the final arrangement is as follows

Hence, correct answer is option 1.

1. Atmost two boxes are placed above O.       

2. Box which contains purple colour placed immediately below box O.

3. The box which contains purple colour is placed immediately above and below the box which contains Blue and Red colour.

 

4. Two boxes are placed between the box which contain Red and that of White colour, which is placed above Red colour box. So case 3 is eliminated since we cannot place White colour box above Red colour box.

5. As many boxes above box L as many below it. 

 

6. As many boxes above box B as many below box S, which contains Grey colour.

7. Box B is immediately below the box which contains Orange colour.

8. Box G is placed above box K, which contains Black colour.

9) There is three box placed between R and G where R is above G. 

Hence, the final arrangement is as follows

 

Hence, correct answer is option 4.

1. Atmost two boxes are placed above O.       

2. Box which contains purple colour placed immediately below box O.

3. The box which contains purple colour is placed immediately above and below the box which contains Blue and Red colour.

 

4. Two boxes are placed between the box which contain Red and that of White colour, which is placed above Red colour box. So case 3 is eliminated since we cannot place White colour box above Red colour box.

5. As many boxes above box L as many below it. 

 

6. As many boxes above box B as many below box S, which contains Grey colour.

7. Box B is immediately below the box which contains Orange colour.

8. Box G is placed above box K, which contains Black colour.

9) There is three box placed between R and G where R is above G. 

Hence, the final arrangement is as follows

 

All except option 5 has one box between them so correct answer is option 5.

1. Atmost two boxes are placed above O.       

2. Box which contains purple colour placed immediately below box O.

3. The box which contains purple colour is placed immediately above and below the box which contains Blue and Red colour.

 

4. Two boxes are placed between the box which contain Red and that of White colour, which is placed above Red colour box. So case 3 is eliminated since we cannot place White colour box above Red colour box.

5. As many boxes above box L as many below it. 

 

6. As many boxes above box B as many below box S, which contains Grey colour.

7. Box B is immediately below the box which contains Orange colour.

8. Box G is placed above box K, which contains Black colour.

9) There is three box placed between R and G where R is above G. 

Hence, the final arrangement is as follows

 

Hence, correct answer is option 2.

1. Atmost two boxes are placed above O.       

2. Box which contains purple colour placed immediately below box O.

3. The box which contains purple colour is placed immediately above and below the box which contains Blue and Red colour.

 

4. Two boxes are placed between the box which contain Red and that of White colour, which is placed above Red colour box. So case 3 is eliminated since we cannot place White colour box above Red colour box.

5. As many boxes above box L as many below it. 

 

6. As many boxes above box B as many below box S, which contains Grey colour.

7. Box B is immediately below the box which contains Orange colour.

8. Box G is placed above box K, which contains Black colour.

9) There is three box placed between R and G where R is above G. 

Hence, the final arrangement is as follows

 

Hence, correct answer is option 5.

1. Atmost two boxes are placed above O.       

2. Box which contains purple colour placed immediately below box O.

3. The box which contains purple colour is placed immediately above and below the box which contains Blue and Red colour.

 

4. Two boxes are placed between the box which contain Red and that of White colour, which is placed above Red colour box. So case 3 is eliminated since we cannot place White colour box above Red colour box.

5. As many boxes above box L as many below it. 

 

6. As many boxes above box B as many below box S, which contains Grey colour.

7. Box B is immediately below the box which contains Orange colour.

8. Box G is placed above box K, which contains Black colour.

9) There is three box placed between R and G where R is above G. 

Hence, the final arrangement is as follows

 

Hence, correct answer is option 4.

The given word is RECLAIMING.

Chosen letters are R, E, M, G

Meaningful Word - GERM

so second letter from right end is R

Hence, Correct answer is R.

Given statements: L = M, F ≤ D, K ≥ L, M ≤ F

By combining: K ≥ L = M ≤ F ≤ D

Conclusions:

I. M ≤ K → True (as K ≥ L = M)

II. D ≥ M → True (as M ≤ F ≤ D)

Hence, both I and II are True.

Given statements: P ≥ Q, R > S, R ≥ Q, L = P < T

By combining: L = P ≥ Q ≤ R > S, P < T

Conclusions:

I. R > P → False (as P ≥ Q ≤ R → thus clear relation between R and P cannot be determined)

II. T > Q → True (as T > P ≥ Q)

Hence, only II is True.

Given statements: A ≥ B ≥ C; C < D < E; E ≥ F ≥ G; G < H > I

On combining: A ≥ B ≥ C < D < E ≥ F ≥ G < H > I

Conclusions:

I. A > I → False (as A ≥ B ≥ C < D < E ≥ F ≥ G < H > I → therefore we cannot determine the relation between A and I)

II. D < F → False (as A ≥ B ≥ C < D < E ≥ F ≥ G < H > I → therefore we cannot determine the relation between D and F)

III. F > I → False (as A ≥ B ≥ C < D < E ≥ F ≥ G < H > I → therefore we cannot determine the relation between F and I)

Hence, none is true.

1. U lives on odd number floor but not adjacent to Y.

2. Y lives below U.

3)  I lives just below E's floor but not in the same flat.

 

4) As many person lives below U as many person lives above I. So, case 1 and case 4 are eliminated.

5) M lives immediate below floor O but does not live just below.

 

6. O does not lives to west of any person. So case – 3 is also eliminated.

Hence, correct arrangement is as follows

 

Here, O lives above E in Flat Q. Y lives to the east of I but U does not lives to the Southwest of I.

Hence, Correct answer is Both Statement A & B.

1. U lives on odd number floor but not adjacent to Y.

2. Y lives below U.

3)  I lives just below E's floor but not in the same flat.

 

4) As many person lives below U as many person lives above I. So, case 1 and case 4 are eliminated.

5) M lives immediate below floor O but does not live just below.

 

6. O does not lives to west of any person. So case – 3 is also eliminated.

Hence, correct arrangement is as follows

 

Hence, U lives in Flat P.

1. U lives on odd number floor but not adjacent to Y.

2. Y lives below U.

3)  I lives just below E's floor but not in the same flat.

 

4) As many person lives below U as many person lives above I. So, case 1 and case 4 are eliminated.

5) M lives immediate below floor O but does not live just below.

 

6. O does not lives to west of any person. So case – 3 is also eliminated.

Hence, correct arrangement is as follows

 

All except E lives in odd number floor.

Hence, E is odd one out.

1. U lives on odd number floor but not adjacent to Y.

2. Y lives below U.

3)  I lives just below E's floor but not in the same flat.

 

4) As many person lives below U as many person lives above I. So, case 1 and case 4 are eliminated.

5) M lives immediate below floor O but does not live just below.

 

6. O does not lives to west of any person. So case – 3 is also eliminated.

Hence, correct arrangement is as follows

 

Here M lives to the west of E and I lives below O.

Hence, Correct answer is Both 3 and 4.