SBI PO Prelims Memory Based Paper (Held On: 1 August 2026 Shift 2) (Previous Year Paper)

The correct answer is 'vital'.

 

Key Points

• The sentence concludes the passage by emphasizing the significant and essential contribution of the Orange Economy to global progress.
• The adjective filling blank (F) must describe an important, crucial, or essential role.
• "Vital" means absolutely necessary or important; essential, which perfectly fits the context of playing a key role in economic and global development.
• Other options ("harmful", "useless", "minor", "hidden") express negative, insignificant, or obscure meanings that contradict the positive impact discussed throughout the passage.

Therefore, the correct answer is 'Option 3'.

 

Complete Passage: The concept of the Orange Economy highlights how culture and innovation can drive economic growth. At its heart, this idea shows that creativity (A) stimulates natural talent and inspires individuals to build new skills. When people are encouraged to think outside the box, they can use their unique abilities to (B) generate high-value goods and useful services. This dynamic sector not only helps artists and innovators, but it also creates fresh employment opportunities for the local (C) workforce. By transforming original ideas into practical solutions, businesses can significantly improve their overall (D) output in competitive markets. Local governments are starting to recognize this potential, leading them to (E) fund creative projects through specialized grants and resources. As more communities support artistic endeavors, the Orange Economy will continue to play a (F) vital role in global progress.

 

Additional Information

• Harmful (हानिकारक): Causing or likely to cause harm.
• Useless (निरर्थक/बेकार): Not fulfilling or not expected to achieve the intended purpose or desired outcome.
• Minor (नगण्य/मामूली): Lesser in importance, seriousness, or significance.
• Hidden (छिपा हुआ): Kept out of sight; concealed.

The correct answer is 'fund'.

 

Key Points

• The sentence explains how local governments recognize the potential of the Orange Economy and offer financial support using specialized grants and resources.
• The verb filling blank (E) must mean to provide financial support or capital for creative projects.
• "Fund" means to provide money for a particular purpose, which aligns directly with the context of providing "specialized grants and resources".
• Other options ("ban", "reject", "oppose", "halt") indicate negative or obstructive actions that contradict the idea of supporting artistic endeavors.

Therefore, the correct answer is 'Option 4'.

 

Complete Passage: The concept of the Orange Economy highlights how culture and innovation can drive economic growth. At its heart, this idea shows that creativity (A) stimulates natural talent and inspires individuals to build new skills. When people are encouraged to think outside the box, they can use their unique abilities to (B) generate high-value goods and useful services. This dynamic sector not only helps artists and innovators, but it also creates fresh employment opportunities for the local (C) workforce. By transforming original ideas into practical solutions, businesses can significantly improve their overall (D) output in competitive markets. Local governments are starting to recognize this potential, leading them to (E) fund creative projects through specialized grants and resources. As more communities support artistic endeavors, the Orange Economy will continue to play a (F) ________ role in global progress.

 

Additional Information

• Ban (प्रतिबंध लगाना): Officially or legally prohibit something.
• Reject (अस्वीकार करना): Dismiss or refuse to accept, agree to, or believe.
• Oppose (विरोध करना): Disapprove of and attempt to prevent, especially by argument.
• Halt (रोकना): Bring or come to an abrupt stop.

The correct answer is 'output'.

 

Key Points

• The sentence describes how transforming original ideas into practical solutions enables businesses to enhance their performance and production in competitive markets.
• The noun filling blank (D) must refer to the amount of something produced by a person, machine, or industry.
• "Output" means the amount of something produced, which logically fits the context of businesses improving their production and overall performance.
• Other options ("loss", "decline", "failure", "weakness") carry negative meanings that contradict the positive impact of innovative business solutions.

Therefore, the correct answer is 'Option 2'.

 

Complete Passage: The concept of the Orange Economy highlights how culture and innovation can drive economic growth. At its heart, this idea shows that creativity (A) stimulates natural talent and inspires individuals to build new skills. When people are encouraged to think outside the box, they can use their unique abilities to (B) generate high-value goods and useful services. This dynamic sector not only helps artists and innovators, but it also creates fresh employment opportunities for the local (C) workforce. By transforming original ideas into practical solutions, businesses can significantly improve their overall (D) output in competitive markets. Local governments are starting to recognize this potential, leading them to (E) ________ creative projects through specialized grants and resources. As more communities support artistic endeavors, the Orange Economy will continue to play a (F) ________ role in global progress.

 

Additional Information

• Loss (हानि/नुकसान): The fact or process of losing something or someone.
• Decline (गिरावट): A continuous decrease in the number, value, or quality of something.
• Failure (असफलता): Lack of success or the omission of expected or required action.
• Weakness (कमजोरी): The state or condition of lacking strength or vigor.

The correct answer is 'workforce'.

 

Key Points

• The sentence focuses on how the dynamic sector creates fresh employment opportunities for people in the area.
• The noun filling blank (C) must refer to the group of people engaged in or available for work in a local community.
• "Workforce" means the total number of people employed or available to work, which connects directly to the context of creating employment opportunities.
• Other options ("machinery", "climate", "wilderness", "obstacle") refer to non-human elements or negative obstacles, which do not fit the idea of offering jobs to local residents.

Therefore, the correct answer is 'Option 1'.

 

Complete Passage: The concept of the Orange Economy highlights how culture and innovation can drive economic growth. At its heart, this idea shows that creativity (A) stimulates natural talent and inspires individuals to build new skills. When people are encouraged to think outside the box, they can use their unique abilities to (B) generate high-value goods and useful services. This dynamic sector not only helps artists and innovators, but it also creates fresh employment opportunities for the local (C) workforce. By transforming original ideas into practical solutions, businesses can significantly improve their overall (D) ________ in competitive markets. Local governments are starting to recognize this potential, leading them to (E) ________ creative projects through specialized grants and resources. As more communities support artistic endeavors, the Orange Economy will continue to play a (F) ________ role in global progress.

 

Additional Information

• Machinery (मशीनरी): Machines collectively or the components of a machine.
• Climate (जलवायु): The weather conditions prevailing in an area in general or over a long period.
• Wilderness (बीयाबान/निर्जन स्थान): An uncultivated, uninhabited, and inhospitable region.
• Obstacle (बाधा): A thing that blocks one's way or prevents or hinders progress.

The correct answer is 'generate'.

 

Key Points

• The sentence describes how people use their unique creative abilities when encouraged to think outside the box to produce high-value goods and useful services.
• The verb filling blank (B) must mean to create, produce, or bring about output.
• "Generate" means to produce, create, or bring into existence, which fits the economic context of creating high-value goods and services.
• Other options ("destroy", "reduce", "prevent", "delay") express negative or obstructive actions that conflict with economic productivity.

Therefore, the correct answer is 'Option 3'.

 

Complete Passage: The concept of the Orange Economy highlights how culture and innovation can drive economic growth. At its heart, this idea shows that creativity (A) stimulates natural talent and inspires individuals to build new skills. When people are encouraged to think outside the box, they can use their unique abilities to (B) generate high-value goods and useful services. This dynamic sector not only helps artists and innovators, but it also creates fresh employment opportunities for the local (C) ________. By transforming original ideas into practical solutions, businesses can significantly improve their overall (D) ________ in competitive markets. Local governments are starting to recognize this potential, leading them to (E) ________ creative projects through specialized grants and resources. As more communities support artistic endeavors, the Orange Economy will continue to play a (F) ________ role in global progress.

 

Additional Information

• Destroy (नष्ट करना): Cause so much damage to something that it no longer exists or cannot be repaired.
• Reduce (कम करना): Make smaller or less in amount, degree, or size.
• Prevent (रोकना): Keep something from happening or arising.
• Delay (देरी करना): Make something happen later than expected or cause someone to be late.

The correct answer is 'stimulates'.

 

Key Points

• The sentence describes how creativity positively affects natural talent and inspires individuals to develop new skills within the Orange Economy.
• The verb filling blank (A) must mean to encourage, activate, or spark natural talent.
• "Stimulates" means to encourage development, activity, or interest, which fits perfectly with sparking natural talent and inspiring skill growth.
• Other options ("suppresses", "ignores", "restricts", "damages") express negative or passive actions that contradict the positive tone of the sentence.

Therefore, the correct answer is 'Option 5'.

 

Complete Passage: The concept of the Orange Economy highlights how culture and innovation can drive economic growth. At its heart, this idea shows that creativity (A) stimulates natural talent and inspires individuals to build new skills. When people are encouraged to think outside the box, they can use their unique abilities to (B) ________ high-value goods and useful services. This dynamic sector not only helps artists and innovators, but it also creates fresh employment opportunities for the local (C) ________. By transforming original ideas into practical solutions, businesses can significantly improve their overall (D) ________ in competitive markets. Local governments are starting to recognize this potential, leading them to (E) ________ creative projects through specialized grants and resources. As more communities support artistic endeavors, the Orange Economy will continue to play a (F) ________ role in global progress.

 

Additional Information

• Suppresses (दबाना): Prevents the development, action, or expression of something.
• Ignores (अनदेखा करना): Refuses to take notice of or acknowledge.
• Restricts (सीमित करना): Puts a limit on or keeps within bounds.
• Damages (नुकसान पहुँचाना): Inflicts physical or functional harm on something.

The correct answer is option 1.

Key Points

To answer this question, let's first understand the meaning of the phrase "put oneself together":

• Put oneself together - to regain one's composure or calm after being in a disordered or disturbed state. (स्वयं को संभालना)

Now, let's break down the sentences to analyze which of them use(s) the phrase "put oneself together" correctly:

• A. After receiving the bad news, she took a deep breath and tried to put herself together before continuing with her work.
• The phrase "put herself together" is used correctly here. It signifies that she is trying to regain her composure or calm after receiving bad news.
• B. The engineer put oneself together all the parts of the machine to make it function properly.
• The phrase "put oneself together" is used incorrectly here. It seems like the sentence is attempting to describe assembling parts of a machine, which does not match the idiomatic meaning of regaining composure.
• C. He decided to put oneself together a team of artists for the new project.
• The phrase "put oneself together" is used incorrectly here. The sentence is about forming a team, which does not match the meaning of regaining composure.
• So, out of the given sentences, only sentence A uses the phrase "put oneself together" correctly.
• Therefore, the correct answer is "Only A."

The correct answer is option 3.

Key Points

To answer this question, let's analyze each sentence carefully to identify the grammatically/contextually incorrect one:

• Option 1: The wildlife documentary provided an intimate glimpse into the daily routines of arctic wolves.
• This sentence is grammatically correct and contextually meaningful.
• This sentence is grammatically and contextually correct.
• Option 2: She was hesitant to accept the promotion because it entailed relocating to a completely different continent.
• This sentence is grammatically correct and logically coherent.
• This sentence is grammatically and contextually correct.
• Option 3: The continuous heavy rainfall had a devastating affect on the region's agricultural harvest this season.
• This sentence describes the impact of heavy rainfall.
• The sentence is grammatically/contextually incorrect because "affect" is generally used as a verb, whereas the noun required here is "effect".
• The correct sentence would be: "The continuous heavy rainfall had a devastating effect on the region's agricultural harvest this season."
• Option 4: Crisp autumn leaves crunched underfoot as we walked along the misty, tree-lined forest path.
• This sentence is grammatically correct and vividly descriptive.
• This sentence is grammatically and contextually correct.
• Option 5: Innovative startups are constantly challenging traditional business models with disruptive technologies.
• This sentence is grammatically correct and contextually appropriate.
• This sentence is grammatically and contextually correct.
• Therefore, the grammatically/contextually incorrect sentence is Option 3.

The correct answer is option 1.

Key Points

To answer this question, let's analyze each sentence carefully to identify the grammatically/contextually incorrect one:

• Option 1: If the developers would have conducted thorough testing, the software glitch could have been avoided.
• This sentence expresses a hypothetical situation in the past (Third Conditional).
• The sentence is grammatically incorrect because the if-clause should use the Past Perfect tense ("had conducted"), not "would have conducted".
• The correct sentence would be: "If the developers had conducted thorough testing, the software glitch could have been avoided."
• Option 2: The ancient oak tree in the town square has stood as a silent witness to centuries of local history.
• This sentence is grammatically correct and contextually meaningful.
• This sentence is grammatically and contextually correct.
• Option 3: If you mix blue and yellow paint in equal proportions, you get a vibrant shade of green.
• This sentence correctly expresses a general truth using the Zero Conditional.
• This sentence is grammatically and contextually correct.
• Option 4: Should the weather worsen overnight, tomorrow's outdoor charity gala will be moved indoors.
• This sentence correctly uses the inverted conditional structure "Should + subject + base verb".
• This sentence is grammatically and contextually correct.
• Option 5: The quiet university library offers a tranquil environment where students can immerse themselves in study.
• This sentence is grammatically correct and logically coherent.
• This sentence is grammatically and contextually correct.
• Therefore, the grammatically/contextually incorrect sentence is Option 1.

The correct answer is option 2.

Key Points

To answer this question, let's analyze each sentence carefully to identify the grammatically/contextually incorrect one:

• Option 1: The string quartet performed a flawless rendition of Mozart, earning a standing ovation from the crowd.
• This sentence is grammatically correct and contextually meaningful.
• This sentence is grammatically and contextually correct.
• Option 2: Between you and I, the proposed budget allocation does not address our primary operational needs.
• This sentence introduces confidential information.
• The sentence is grammatically incorrect because the preposition "between" requires object pronouns.
• The correct sentence would be: "Between you and me, the proposed budget allocation does not address our primary operational needs."
• Option 3: When hikers explore remote wilderness areas, they should always leave no trace of their campsites behind.
• This sentence correctly follows the standard environmental principle "Leave No Trace".
• This sentence is grammatically and contextually correct.
• Option 4: A faint scent of lavender drifted from the garden, filling the evening air with a natural fragrance.
• This sentence is grammatically correct and contextually appropriate.
• This sentence is grammatically and contextually correct.
• Option 5: Each member of the executive board must submit his or her preliminary vote before noon tomorrow.
• This sentence is grammatically correct.
• The singular subject "Each member" appropriately takes the singular possessive pronouns "his or her".
• This sentence is grammatically and contextually correct.
• Therefore, the grammatically/contextually incorrect sentence is Option 2.

The correct answer is option 1.

Key Points

To answer this question, let's analyze each sentence carefully to identify the grammatically/contextually incorrect one:

• Option 1: Effective leadership requires empathy, decisive action, and to communicate clearly with the entire team.
• This sentence lists the qualities required for effective leadership.
• The sentence is grammatically incorrect because the items in the series are not parallel. The first two items are noun phrases ("empathy", "decisive action"), whereas the third item is an infinitive phrase ("to communicate clearly").
• The correct sentence would be: "Effective leadership requires empathy, decisive action, and clear communication with the entire team."
• Alternatively: "Effective leadership requires showing empathy, taking decisive action, and communicating clearly with the entire team."
• Option 2: The melody floated through the open window, carrying with it a nostalgic sense of childhood summers.
• This sentence is grammatically correct and contextually meaningful.
• This sentence is grammatically and contextually correct.
• Option 3: She opened her laptop, reviewed the morning emails, and began drafting the weekly progress report.
• This sentence correctly uses parallel verbs to describe a sequence of actions.
• This sentence is grammatically and contextually correct.
• Option 4: Sustainable agriculture practices aim to conserve water, protect soil health, and boost biodiversity.
• This sentence correctly maintains parallel structure using infinitive verbs after "aim to".
• This sentence is grammatically and contextually correct.
• Option 5: The mountain trail offered breathtaking views of snow-capped peaks and deep, verdant valleys.
• This sentence is grammatically correct and vividly descriptive.
• This sentence is grammatically and contextually correct.
• Therefore, the grammatically/contextually incorrect sentence is Option 1.

The correct answer is 'B-P.'

Key Points

• From the given options, only the combination of phrases 'B-P' creates the correct sentence.
• Let's look at the sentences:
• 'B-P' talks about English becoming the official language even though the population was largely Chinese.
• 'In spite of the fact' is used to mean that something happens even though something else might have prevented it. (इस तथ्य के बावजूद)
  

Hence, the correct answer is option 4.

The correct answer is 'B-R and C-P.'

Key Points

• From the given options, only the combination of phrases 'B-R and C-P' creates correct sentences.
• Let's look at the sentences:
• 'B-R' talks about someone who do not enjoy eating salmon (एक प्रकार की मछली) also the high cost of salmon does not fit in with his or her tiny food budget.
• 'Furthermore' means ''in addition; besides'' used to introduce a fresh consideration in an argument. (भी; के अतिरिक्त)
• 'C-P' talks about the possibility of every sinner (पापी) to turn to God and escape punishment and in reverse to that for a righteous (नैतिक रूप से मान्‍य या उचित) man to backslide (दोबारा बुरे रास्ते या गलती पर जाना) and fall (पतन).
• 'Conversely' means ''in a way that is opposite to something'' is used for introducing a statement or idea which reverses one that has just been made or referred to. (विपरीत रीति से; इसके विपरीत)
  

Hence, the correct answer is option 3.

The correct answer is Option (1) i.e. CEBDA

Key Points

• The sentence begins with the subject, "Increased public awareness surrounding mental health," which is correctly indicated by part (C).
• Following the subject, "has encouraged more individuals" (CE) continues the logical sequence, elaborating what the increased awareness has done.
• The next part, "to seek professional counseling" (CEB) logically follows, showing what individuals are encouraged to do.
• Ending with, "without fearing the social stigma traditionally associated with therapy" (DA) completes the sentence by providing the final context.

Therefore, the correct answer is CEBDA.

Additional Information

• Option 2 (ECBDA): This option starts with "has encouraged more individuals Increased public awareness surrounding mental health," which disrupts the logical flow of the sentence.
• Option 3 (BACDE): This option places "traditionally associated with therapy" at the beginning, which makes the sentence incoherent and incomplete.
• Option 4 (DCEBA): This option starts with "without fearing the social stigma Increased public awareness surrounding mental health," which creates a fragmented and illogical structure.
• Option 5 (ABECD): This option starts with "traditionally associated with therapy to seek professional counseling Increased public awareness," which fails to establish a coherent subject and flow.

The correct answer is Option (1) i.e. DBEAC

Key Points

• The sentence begins with the subject "Unchecked deforestation in tropical rainforests," which is correctly indicated by part (D).
• Following the subject, "not only destroys critical wildlife habitats" (DB) continues the logical sequence, explaining the negative impact of deforestation.
• The next part, "but also accelerates global climate change" (DBE) complements the earlier part with another consequence.
• Next, "by releasing vast amounts of stored carbon into the atmosphere" (DBEAC) completes the sentence by describing the mechanism of climate change acceleration.

Therefore, the correct answer is DBEAC.

Additional Information

• Option 2 (BDEAC): This sequence starts with "not only destroys critical wildlife habitats," but misses the subject "Unchecked deforestation in tropical rainforests" at the beginning, creating an incomplete sentence.
• Option 3 (EDCBA): This sequence starts with "but also accelerates global climate change," disrupting the logical flow of the subject and explanation.
• Option 4 (CDEAB): This sequence starts with "by releasing vast amounts of stored carbon into the atmosphere," which fragments the sentence and omits the subject introduction.
• Option 5 (ADBCE): This sequence starts with "by releasing vast amounts of," which is grammatically incomplete and does not follow a coherent structure.

The correct answer is Option (1) i.e. BEDAC

Key Points

• The sentence begins with "Teaching personal finance concepts early in life" (B), as it introduces the subject.
• Next, "equips young adults with the tools" (E) logically follows, as it explains what teaching personal finance concepts accomplishes.
• Then "needed to budget effectively" (D) continues the explanation, specifying what tools are being provided.
• After this, "and make informed investment decisions" (A) follows, elaborating on the additional benefits of equipping young adults.
• Finally, "throughout their careers" (C) completes the sentence by stating the long-term impact.

Therefore, the correct sequence is BEDAC.

Additional Information

• Option 2 (EBDAC): This sequence improperly places "equips young adults with the tools" at the beginning, disrupting the logical flow of the sentence.
• Option 3 (CDEBA): This sequence starts with "throughout their careers," which is an ending phrase and fails to introduce the main subject properly.
• Option 4 (ADEBC): This sequence starts with "and make informed investment decisions," which makes the sentence fragmented and confusing.
• Option 5 (DCBEA): This sequence starts with "needed to budget effectively," which fails to establish the context and subject, making the sentence incomplete.

The correct answer is Option (4) i.e. CDBEA

Key Points

• The sentence begins with the subject "Growing consumer awareness about environmental degradation," which is correctly indicated by part (C).
• Following the subject, "is pressuring major fashion brands" (CD) continues the logical sequence, explaining the impact of consumer awareness.
• The next part, "to adopt eco-friendly fabrics and ethical manufacturing practices," indicated by (BEA), completes the sentence by elaborating on the actions being taken by fashion brands.

Therefore, the correct sequence is CDBEA.

Additional Information

• Option 1 (DCBEA): This option starts with "is pressuring major fashion brands across their global supply chains" before introducing the subject, which disrupts the logical flow of the sentence.
• Option 2 (BCDEA): This option begins with "to adopt eco-friendly fabrics" without establishing the context of consumer awareness, leading to a fragmented structure.
• Option 3 (EDCBA): This option starts with "and ethical manufacturing practices" and places the subject later, resulting in poor sentence coherence.
• Option 5 (ABECD): This option starts with "across their global supply chains," which creates a disjointed sentence structure.

The correct answer is Option 3.

 

Key Points

• To identify the sixth and final sentence of the paragraph:
• Sentence E (1st): Opens with the core problem—human activities causing global habitat destruction.
• "Human activities like farming and urban growth are rapidly destroying natural habitats across the globe."
• Sentence A (2nd): Explains the consequence using "This habitat loss" to connect directly to sentence E.
• "This habitat loss directly threatens wildlife, leading to the extinction of many delicate species."
• Sentence C (3rd - Fixed): Uses "For example" to ground the overall issue in a specific case study of UK wildflower meadows.
• "For example, wildflower meadows in the UK have suffered a shocking 97% decline since the 1930s."
• Sentence F (4th): Direct continuation of sentence C, noting how insect and small animal life disappears as "these unique meadows vanish."
• "As these unique meadows vanish, the insects and small animals that rely on them disappear as well."
• Sentence B (5th): Expands from the meadow example to highlight broader global extinction rates for birds and mammals.
• "Today, around 11% of bird species and 50% of mammals face a real risk of extinction worldwide."
• Sentence D is the SIXTH (LAST) sentence: Functions as the logical conclusion, offering a final imperative or call to action to protect and restore natural habitats.
• "To save these animals, we must protect and restore these vital natural places before it is too late."
• The complete sequence is E - A - C - F - B - D, making D the SIXTH (LAST) sentence.

 

Coherent paragraph after rearrangement:

"Human activities like farming and urban growth are rapidly destroying natural habitats across the globe. This habitat loss directly threatens wildlife, leading to the extinction of many delicate species. For example, wildflower meadows in the UK have suffered a shocking 97% decline since the 1930s. As these unique meadows vanish, the insects and small animals that rely on them disappear as well. Today, around 11% of bird species and 50% of mammals face a real risk of extinction worldwide. To save these animals, we must protect and restore these vital natural places before it is too late."

The correct answer is Option 2.

 

Key Points

• To identify the fifth sentence, we trace the full thematic flow leading up to it:
• Sentence E (1st): Opens the paragraph by introducing the central cause—human activities causing global habitat destruction.
• "Human activities like farming and urban growth are rapidly destroying natural habitats across the globe."
• Sentence A (2nd): Uses "This habitat loss" to connect with sentence E and explain the consequence for wildlife.
• "This habitat loss directly threatens wildlife, leading to the extinction of many delicate species."
• Sentence C (3rd - Fixed): Offers a concrete case study ("For example") of habitat loss involving UK wildflower meadows.
• "For example, wildflower meadows in the UK have suffered a shocking 97% decline since the 1930s."
• Sentence F (4th): Connects directly to sentence C by explaining what happens as "these unique meadows vanish."
• "As these unique meadows vanish, the insects and small animals that rely on them disappear as well."
• Sentence B is the FIFTH sentence: Expands from the specific meadow example back to global extinction figures (11% of birds, 50% of mammals).
• "Today, around 11% of bird species and 50% of mammals face a real risk of extinction worldwide."
• Sentence D (6th): Provides the logical conclusion by offering a final call to action ("To save these animals...").
• "To save these animals, we must protect and restore these vital natural places before it is too late."
• The complete sequence is E - A - C - F - B - D, making B the FIFTH sentence.

 

Coherent paragraph after rearrangement:

"Human activities like farming and urban growth are rapidly destroying natural habitats across the globe. This habitat loss directly threatens wildlife, leading to the extinction of many delicate species. For example, wildflower meadows in the UK have suffered a shocking 97% decline since the 1930s. As these unique meadows vanish, the insects and small animals that rely on them disappear as well. Today, around 11% of bird species and 50% of mammals face a real risk of extinction worldwide. To save these animals, we must protect and restore these vital natural places before it is too late."

The correct answer is Option 5.

 

Key Points

• To identify the fourth sentence, we track the logical link following the fixed third sentence:
• Sentence E (1st): Establishes the primary cause—human activities causing habitat destruction globally.
• "Human activities like farming and urban growth are rapidly destroying natural habitats across the globe."
• Sentence A (2nd): Explains the consequence using "This habitat loss" to connect with E.
• "This habitat loss directly threatens wildlife, leading to the extinction of many delicate species."
• Sentence C (3rd - Fixed): Introduces a specific illustration ("For example") focusing on UK wildflower meadows.
• "For example, wildflower meadows in the UK have suffered a shocking 97% decline since the 1930s."
• Sentence F is the FOURTH sentence: Directly connects to C by referring to "these unique meadows vanish" and explaining the impact on local wildlife.
• "As these unique meadows vanish, the insects and small animals that rely on them disappear as well."
• Sentence B (5th): Widens the perspective back to global extinction percentages.
• "Today, around 11% of bird species and 50% of mammals face a real risk of extinction worldwide."
• Sentence D (6th): Concludes the paragraph with a call to protect and restore habitats.
• "To save these animals, we must protect and restore these vital natural places before it is too late."
• The complete sequence is E - A - C - F - B - D, making F the FOURTH sentence.

 

Coherent paragraph after rearrangement:

"Human activities like farming and urban growth are rapidly destroying natural habitats across the globe. This habitat loss directly threatens wildlife, leading to the extinction of many delicate species. For example, wildflower meadows in the UK have suffered a shocking 97% decline since the 1930s. As these unique meadows vanish, the insects and small animals that rely on them disappear as well. Today, around 11% of bird species and 50% of mammals face a real risk of extinction worldwide. To save these animals, we must protect and restore these vital natural places before it is too late."

The correct answer is Option 1.

 

Key Points

• To identify the second sentence, we trace the logical connection leading to the fixed third sentence:
• Sentence E (1st): Opens the paragraph by introducing the central cause—human activities destroying natural habitats globally.
• "Human activities like farming and urban growth are rapidly destroying natural habitats across the globe."
• Sentence A is the SECOND sentence: Connects directly to sentence E using "This habitat loss" to explain the immediate consequence on species.
• "This habitat loss directly threatens wildlife, leading to the extinction of many delicate species."
• Sentence C (3rd - Fixed): Uses "For example" to ground the general statement in sentence A with a concrete case study of UK wildflower meadows.
• "For example, wildflower meadows in the UK have suffered a shocking 97% decline since the 1930s."
• Sentence F (4th): Refers back to sentence C ("these unique meadows vanish") and describes the loss of insect and small animal life.
• "As these unique meadows vanish, the insects and small animals that rely on them disappear as well."
• Sentence B (5th): Expands from the specific UK example to broader global extinction statistics.
• "Today, around 11% of bird species and 50% of mammals face a real risk of extinction worldwide."
• Sentence D (6th): Serves as the natural concluding recommendation urging habitat protection and restoration.
• "To save these animals, we must protect and restore these vital natural places before it is too late."
• The complete sequence is E - A - C - F - B - D, making A the SECOND sentence.

 

Coherent paragraph after rearrangement:

"Human activities like farming and urban growth are rapidly destroying natural habitats across the globe. This habitat loss directly threatens wildlife, leading to the extinction of many delicate species. For example, wildflower meadows in the UK have suffered a shocking 97% decline since the 1930s. As these unique meadows vanish, the insects and small animals that rely on them disappear as well. Today, around 11% of bird species and 50% of mammals face a real risk of extinction worldwide. To save these animals, we must protect and restore these vital natural places before it is too late."

The correct answer is Option 4.

 

Key Points

• To determine the first sentence and build the correct sequence:
• Sentence E is the FIRST sentence: Introduces the broad, overarching theme—human activities like farming and urban growth destroying natural habitats globally.
• "Human activities like farming and urban growth are rapidly destroying natural habitats across the globe."
• Sentence A (2nd): Directly follows E by elaborating on how "This habitat loss" leads to the extinction of species.
• "This habitat loss directly threatens wildlife, leading to the extinction of many delicate species."
• Sentence C (3rd - Fixed): Provides a concrete, local illustration ("For example") of habitat decline by highlighting UK wildflower meadows.
• "For example, wildflower meadows in the UK have suffered a shocking 97% decline since the 1930s."
• Sentence F (4th): Continues the meadow example by noting that as "these unique meadows vanish," dependent insects and small animals disappear.
• "As these unique meadows vanish, the insects and small animals that rely on them disappear as well."
• Sentence B (5th): Scales back up to global statistics to show the wider scale of the extinction risk (11% of birds, 50% of mammals).
• "Today, around 11% of bird species and 50% of mammals face a real risk of extinction worldwide."
• Sentence D (6th): Concludes with a call to action—protecting and restoring these natural habitats to save species.
• "To save these animals, we must protect and restore these vital natural places before it is too late."
• The complete sequence is E - A - C - F - B - D, making E the FIRST sentence.

 

Coherent paragraph after rearrangement:

"Human activities like farming and urban growth are rapidly destroying natural habitats across the globe. This habitat loss directly threatens wildlife, leading to the extinction of many delicate species. For example, wildflower meadows in the UK have suffered a shocking 97% decline since the 1930s. As these unique meadows vanish, the insects and small animals that rely on them disappear as well. Today, around 11% of bird species and 50% of mammals face a real risk of extinction worldwide. To save these animals, we must protect and restore these vital natural places before it is too late."

The correct answer is option 5.

Key Points

The given sentence is already grammatically correct and meaningful.

• The sentence reads: "Her keen (A) observations helped her scrutinize (B) the evidence, resulting in a coherent (C) report and a vivid (D) explanation."
• Each bolded word is used correctly in context:
• Keen (A): Means sharp or highly developed, which fits well with "observations."
• Scrutinize (B): Means to examine closely, which is appropriate for analyzing evidence.
• Coherent (C): Means logical and consistent, which is suitable for describing a report.
• Vivid (D): Means clear or detailed, which fits well with "explanation."

Since no interchange is required, the correct answer is option 5 ("No interchange required").

The correct answer is option 3.

Key Points

Explanation:

• The sentence is: The adept (A) scientist found a conducive (B) environment for her research, leading to acrimonious (C) discoveries despite profound (D) debates among colleagues.
• Here, the words acrimonious (C) and profound (D) need to be interchanged to make the sentence meaningful.
• After the interchange, the corrected sentence will be: The adept (A) scientist found a conducive (B) environment for her research, leading to profound (C) discoveries despite acrimonious (D) debates among colleagues.
• This makes the sentence grammatically correct and meaningful.

Additional Information

Let’s understand the meanings of the marked words:

• Adept: Highly skilled or proficient (निपुण)
• Conducive: Making a certain situation or outcome likely or possible (अनुकूल)
• Acrimonious: Angry and bitter (कटु)
• Profound: Very great or intense (गंभीर)

The correct answer is option 1.

Key Points

• Original sentence: The candid (A) child gave a reckless (B) response, though his genuine (C) innocence made the remark seem benign (D).
• Swap A & B (option 1): The reckless child gave a candid response, though his genuine innocence made the remark seem benign.

Why this interchange is correct:

• Reckless (B) — careless or hasty — correctly describes the child’s behavior.
• Candid (A) — honest or straightforward — correctly describes the response, not the child.
• The adjectives genuine (C) and benign (D) are correctly placed and need no change.

 

Additional Information

Meanings for reference:

• Candid — truthful, straightforward.
• Reckless — careless, without thought of consequences.
• Genuine — real, sincere.
• Benign — harmless, gentle, or kind.

The correct answer is 'Vanish.'

Key Points

• The first sentence talks about the child who watched in wonder as the magician made the coin disappear from behind his ear.
• The use of the word ''magician'' in the first sentence indicates the use of the word 'vanish' in the blank.
• The second sentence talks about Mamta who was confused when the cookies began to disappear from the jar.
• The use of the word ''confused'' in the second sentence indicates the use of the word 'vanish' in the blank.
• Therefore, the most appropriate word to be filled in the blank is, 'Vanish'.
• The word 'Vanish' means To disappear suddenly or in a way that you cannot explain. (एकाएक ग़ायब हो जाना ऐसे कि पता न चले, ओझल हो जाना)
  

Hence, the correct answer is option 5.

Sentence 1: The child watched in wonder as the magician made the coin vanish from behind his ear.

Sentence 2: Mamta was confused when the cookies began to vanish from the jar until she saw her toddler with chocolate smeared all over his face.

Additional Information

• Let us explore  the other options:
• Relinquish means To stop having or doing something. (त्‍याग देना, छोड़ देना)
• Lavish means Giving or spending a large amount of money. (जो बहुत पैसा दे या ख़र्च करे, ख़र्चीला; फिज़ूलख़र्ची)
• Improvise means To make, do, or manage something without preparation, using what you have. (जो पास है उसी से तत्‍काल कुछ व्‍यवस्‍था करना)
• Urge means To advise or try hard to persuade somebody to do something. (किसी व्‍यक्ति को कुछ करने के लिए समझाना या प्रबल रूप से प्रेरित करना)

The correct answer is 'Barbaric.'

Key Points

• The first sentence talks about how cruel animal owners treat their dogs.
• The use of the word ''cruel'' in the first sentence indicates the use of the word 'barbaric' in the blank.
• The second sentence talks about writing offensive graffiti all over the school.
• The use of the word ''offensive'' in the second sentence indicates the use of the word 'barbaric' in the blank.
• Therefore, the most appropriate word to be filled in the blank is, 'Barbaric'.
• The word 'Barbaric' means Very cruel and violent. (बहुत क्रूर और नृशंस, अतिनिर्मम; अति निष्ठुर)
  

Hence, the correct answer is option 4.

Sentence 1: The cruel animal owners were known to treat their dogs in a barbaric manner.

Sentence 2: A barbaric person wrote offensive graffiti all over the school.

Additional Information

• Let us explore  the other options:
• Attitude means The way that you think, feel, or behave. (सोचने, अनुभव करने का तरीक़ा विशेष; रुख़, दृष्टिकोण)
• Contradictory means Being opposed to or not matching something else. (विरोधात्‍मक, असंगत, प्रतिकूल)
• Vague means Not clear or definite. (अस्‍पष्‍ट या अनिश्‍चित)
• Inherited means To receive property, money, etc. from somebody who has died. (मृतक की संपत्ति, धन आदि को उत्तराधिकार या विरासत के रूप में प्राप्‍त करना)

The correct answer is 'Severe.'

Key Points

• The first sentence talks about the intensity of the thunderstorm that caused so much damage.
• The use of the word ''damage'' in the first sentence indicates the use of the word 'severe' in the blank.
• The second sentence talks about the intensity of someone's food allergies.
• The use of the word ''allergies'' in the second sentence indicates the use of the word 'severe' in the blank.
• Therefore, the most appropriate word to be filled in the blank is, 'Severe'.
• The word 'Severe' means Extremely bad or serious. (बहुत कठिन, कष्‍टप्रद या गंभीर)
  

Hence, the correct answer is option 1.

Sentence 1: The severe thunderstorm caused so much damage that recovery would take years.

Sentence 2: Her food allergies are so severe that she has to bring a lunch to school instead of eating in the cafeteria.

Additional Information

• Let us explore  the other options:
• Desire means The feeling of wanting something very much; a strong wish. (अत्‍यधिक चाह; तीव्र इच्‍छा)
• Aspire means To have a strong desire to have or do something. (कुछ पाने की प्रबल अभिलाषा रखना; आकांक्षा करना)
• Futile means Having no success; useless. (असफल कार्रवाई; व्‍यर्थ)
• Endeavor means To try hard. (कठोर परिश्रम करना; भरसक प्रयास करना)

The correct answer is 'Disparity.'

Key Points

• The first sentence talks about a comparison between the crime rates in the urban cities and the crime rates in the rural areas.
• The use of the word ''between'' in the first sentence indicates the use of the word 'disparity' in the blank.
• The second sentence talks about a comparison between a private school education and a public school education.
• The use of the word ''between'' in the second sentence indicates the use of the word 'disparity' in the blank.
• Therefore, the most appropriate word to be filled in the blank is, 'Disparity'.
• The word 'Disparity' means A difference, especially one that is caused by unfair treatment. (असमानता, विषमता विशेषतः अनुचित व्‍यवहार के फलस्‍वरूप)
  

Hence, the correct answer is option 3.

Sentence 1: There is a huge disparity between the crime rates in the urban cities and the crime rates in the rural areas.

Sentence 2: As a parent concerned about her daughter’s future, I would like to know the disparity between a private school education and a public school education.

Additional Information

• Let us explore  the other options:
• Deceive means To try to make somebody believe something that is not true. (बहकाना, भ्रमित करना)
• Anguish means Great mental pain or suffering. (गहरी वेदना या पीड़ा; मनोव्‍यथा)
• Torment means Great pain and suffering in your mind or body; somebody or something that causes this. (तीव्र मानसिक या शारीरिक वेदना; ऐसी वेदना पहुँचाने वाला व्यक्ति या वस्‍तु)
• Unheeding means Not paying attention. (बेपरवाह)

The correct answer is 'Vigilant.'

Key Points

• The first sentence talks about remaining watchful of threats against homeland security.
• The use of the word ''security'' in the first sentence indicates the use of the word 'vigilant' in the blank.
• The second sentence talks about teachers who have to be more watchful against the new ways of cheating that students are constantly coming up with.
• The use of the word ''cheating'' in the second sentence indicates the use of the word 'vigilant' in the blank.
• Therefore, the most appropriate word to be filled in the blank is, 'Vigilant'.
• The word 'Vigilant' means Careful and looking out for danger. (सतर्क, सावधान)
  

Hence, the correct answer is option 1.

Sentence 1: As the Secretary of Defense, it is your responsibility to remain vigilant to threats against Homeland Security.

Sentence 2: With all the new ways of cheating that students are constantly coming up with, teachers have to be more vigilant than ever.

Additional Information

• Let us explore  the other options:
• Negligent means Failing to take proper care of something. (असावधान; उपेक्षाशील)
• Distracted means Unable to concentrate because one is preoccupied by something worrying or unpleasant. (व्‍याकुल या अनमना, चिंता के कारण जिसका ध्यान अन्‍यत्र हो)
• Oblivious means Not noticing or realizing what is happening around you. (आस-पास होने वाली घटनाओं से बेख़बर)
• Dreamy means Looking as though you are not paying attention to what you are doing because you are thinking about something else. (विचारों में खोया हुआ, कल्‍पनामग्‍न)

The correct answer is Option 2.

 

Key Points

• The passage mentions cultural theorist Theodor Adorno, who warned that traditional museums risk becoming "mausoleums."
• His critique highlighted that museums may isolate artefacts from their living contexts, separating them from their original cultural and historical environment.
• This perspective contrasts with that of other philosophers like John Dewey, who saw public heritage sites as fostering a balanced relationship between history and community life.
• Therefore, the correct answer pointing to the philosopher warning about isolation of artefacts is indeed Theodor Adorno.

Therefore, the correct answer is Option 2.

 

Additional Information

• John Dewey: He argued that public heritage sites foster democratic citizenship and historical literacy when integrated into daily community life.
• Socrates, Friedrich Nietzsche, Karl Marx: These philosophers were not mentioned in the passage in relation to opinions on museums and cultural artefacts.

The correct answer is Option 4.

 

Key Points

• The passage discusses various factors that impact the structural integrity of cultural institutions.
• Factors mentioned include environmental exposure, urban expansion, and construction methodologies.
• Material choices in construction from 150 years ago are also emphasised as influencing today's restoration strategies.
• "Immortalisation in texts" has not been cited as a factor affecting the structural integrity of these institutions.

Therefore, the correct answer is Option 4.

 

Additional Information

• Environmental exposure: Refers to the impact of weather and other environmental factors on structures.
• Urban expansion: Highlights how growing cities and infrastructure developments can affect historical buildings.
• Construction methodologies: Indicates the techniques and practices used during the original construction period.
• Material choices: Focuses on the raw materials originally selected for building these institutions.

The correct answer is Option 2.

 

Key Points

• The passage states that institutions dedicated to knowledge preservation, such as museums, monuments, and libraries, have served as the physical anchor of human civilisation's collective memory.
• These institutions have played this role for over a century and a half, emphasising their long-standing importance in preserving collective memory.
• The correct answer must include museums and libraries, which are explicitly mentioned in the passage.

Therefore, the correct answer is Option 2.

 

Additional Information

• Museums, monuments, and libraries: These institutions collectively preserve and anchor human civilisation's memories.
• Cultural theorists and pragmatists: These are groups of philosophers who have debated the purpose and utility of such institutions, but they are not institutions themselves.
• Construction sites: Refers to areas where building occurs, not directly linked to knowledge preservation as referenced in the passage.
• Cultural repositories and philosophers: Includes cultural repositories as a general term but does not specifically answer the question on institutions mentioned in the passage.

The correct answer is 'immersive'.

 

Key Points

• The word "immersive" means providing a completely engaging and involved experience. (पूर्णत: संलग्न)
• In the context of digital archives and virtual exhibits, the term "immersive" is used to describe experiences that fully engage the senses and provide a sense of presence.
• The other options: "diverse," "outdated," "exclusive," and "extravagant" do not fit the context as appropriately.

​Therefore, the correct answer is 'Option 1'.

Complete Sentence: As digital archives and immersive virtual exhibits rapidly spring up worldwide...

Additional Information

• Diverse (विविध): means having variety or including many different types.
• Outdated (पुराना): means no longer current; out of date.
• Exclusive (विशिष्ट): means limited to a particular person or group.
• Extravagant (फिजूलखर्ची): means lacking restraint in spending money or using resources.

The correct answer is Option 2.

 

Key Points

• Statement A: John Dewey argued that public heritage sites isolate artefacts from their living contexts.
• This statement is incorrect as the passage indicates that Theodor Adorno, not John Dewey, warned about museums isolating artefacts from their living contexts.
• Statement B: The urgent debate about restoring cultural institutions has been sparked by centuries of environmental exposure and urban expansion.
• This statement is correct as it accurately reflects the context provided in the passage.
• Statement C: Theodor Adorno believed that museums foster historical literacy when integrated into daily community life.
• This statement is incorrect as the passage indicates that John Dewey argued for the integration of public heritage sites into daily community life for fostering historical literacy and active democratic citizenship.

Therefore, the correct answer is: ‘Only B’.

The correct answer is Option 2.

 

Key Points

• Statement A: Well-maintained heritage spaces evoke stronger historical empathy and collective pride.
• This statement is correct as it accurately reflects the context provided in the passage.
• Statement B: Pragmatist thinkers argue that traditional museums risk becoming "mausoleums."
• This statement is incorrect as the passage indicates that cultural theorists like Theodor Adorno, not pragmatist thinkers, warned that traditional museums risk becoming "mausoleums."
• Statement C: The architectural research is the central foundation for detailing how material choices from 150 years ago dictate today’s strategies.
• This statement is correct as it aligns with the information provided in the passage about the role of architectural research.

Therefore, the correct answer is: ‘Only B’.

The correct answer is: Involved.

Key Points

• The word "engaged" means participating or actively involved in something. (संलग्न)
• Example: She was actively engaged in the discussion about environmental conservation.
• "Involved" refers to taking part in something actively or engaged in a particular activity or thing. (शामिल)
• Example: He was deeply involved in community service projects.
• Hence, we can infer that 'engaged' is similar in meaning to 'involved'.

Therefore, the correct answer is: Involved.

Additional Information

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

• Distracted (बिचलित): Unable to concentrate because of being preoccupied.
• Example: The noise from the construction site distracted him from his studies.
• Finished (समाप्त): Brought to an end; completed.
• Example: She finished her work ahead of the deadline.
• Avoided (बचते): Stay away from or stop oneself from doing something.
• Example: He avoided answering the question directly.
• Inactive (निष्क्रिय ): Not engaging in any form of activity; idle or dormant.
• Example: The committee has been inactive for several months.

The correct answer is: Proportional.

Key Points

• The word "balanced" means being in a state where different elements are in the correct proportion or harmony. (संतुलित)
• Example: A balanced diet is crucial for maintaining good health.
• "Proportional" refers to corresponding in size or amount to something else; having a correct or suitable relationship in size, number, or degree. (अनुपातिक)
• Example: The length of the film was proportional to the attention span of its intended audience.
• Hence, we can infer that 'balanced' is similar in meaning to 'proportional'.

Therefore, the correct answer is: Proportional.

Additional Information

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

• Unequal (असमान): Not the same in size, amount, or value.
• Example: The two teams were very unequal in terms of their skill levels.
• Heavy (भारी): Of great weight; difficult to lift or move because of weight.
• Example: The box was too heavy for him to lift by himself.
• Skewed (विकृत): Not straight or level; bent, twisted, or distorted.
• Example: The survey results were skewed due to the bias in question phrasing.
• Upright (सीधा): Standing or sitting with the back straight; characterized by integrity or honesty.
• Example: He remained upright and refused to compromise on his principles.

The correct answer is: Manifestation.

Key Points

• The word "evidence" means information or signs indicating whether a belief or proposition is true or valid. (प्रमाण)
• Example: The fingerprints on the weapon served as crucial evidence in the investigation.
• "Manifestation" refers to an event or action that clearly shows or embodies something, particularly a theory or an abstract idea. (अभिव्यक्ति)
• Example: The new policy was a manifestation of the government's commitment to reform.
• Hence, we can infer that 'evidence' is similar in meaning to 'manifestation'.

Therefore, the correct answer is: Manifestation.

Additional Information

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

• Disproof (खंडन): Evidence or argument proving that a theorem or hypothesis is untrue.
• Example: His research provided a disproof of the common belief that the Earth is flat.
• Theory (सिद्धांत): A supposition or a system of ideas intended to explain something.
• Example: The theory of relativity was proposed by Albert Einstein.
• Guess (अनुमान): An estimate or conclusion made without sufficient information.
• Example: She made a guess about the number of jelly beans in the jar.
• Myth (मिथक): A widely held but false belief or idea.
• Example: The myth that lightning never strikes the same place twice is incorrect.

The correct answer is: Appear suddenly.

Key Points

• The phrase "spring up" means to appear suddenly or quickly come into existence. (अचानक उभरना)
• Example: New cafes and restaurants have sprung up all over the city.
• The context of the passage talks about digital archives and virtual exhibits rapidly appearing worldwide, indicating quick and sudden emergence.
• Hence, we can infer that 'spring up' is similar in meaning to 'appear suddenly'.

Therefore, the correct answer is: Appear suddenly.

Additional Information

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

• Gradually vanish (धीरे-धीरे गायब होना): To disappear slowly over time.
• Example: The old customs gradually vanished as modern ways took over.
• Become obsolete (अप्रचलित हो जाना): To become outdated or no longer in use.
• Example: With the advancement of technology, many traditional gadgets have become obsolete.
• Grow slowly (धीरे-धीरे बढ़ना): To increase or develop gradually and not quickly.
• Example: The seeds planted in the garden grew slowly over the months.
• Erode over time (समय के साथ क्षय होना): To be gradually worn away or deteriorated.
• Example: The cliffs are slowly eroding over time due to wind and water.

Calculation

Breadth = 4x

Length = 4x + 6

Height = 25% more than breadth = 4x + [25/100] × 4x = 4x + x=5x

Volume=Length × Breadth × Height =

Or, (4x + 6)(4x)(5x) =3240

(4x + 6)(4x)(5x) = 3240

⇒ (4x + 6) x2 = 162

Or, 4x3 + 6x2 = 162

Try x =1,2,3…. [All value is integer]

108 + 54 = 162 [x = 3]

Breadth = 4x = 12 m

Length = 4x + 6 = 18 m

Height = 5x = 15 m

TSA = 2(lb + bh + hl)

= 2[(18 × 12) + (12 × 15) + (15 × 18)]

= 2(216 + 180 + 270) = 2 × 666 = 1332 m²

Given:

Marked Price = 80% above Cost Price

First discount = 20%

Second discount = x%

Profit = 8%

Calculation:

⇒ Let the Cost Price = ₹100

⇒ Marked Price = 100 + 80 = ₹180

⇒ Price after first discount = 180 × (80/100) = ₹144

⇒ Selling Price = 100 + 8 = ₹108

⇒ According to the question,

144 × (100 − x)/100 = 108

⇒ (100 − x)/100 = 108/144

⇒ (100 − x)/100 = 3/4

⇒ 100 − x = 75

⇒ x = 25%

Final Answer = 25%

Solution:

Total quantity of milk and water = 5: 4

Total quantity of milk and water in the final mixture = 81 litres

Quantity of milk in the mixture = 81/9 ×  5 = 45

Quantity of water in the mixture = (81 - 45) = 36

Quantity of milk taken out = 36/9 ×  5 = 20

Quantity of water taken out = (36 - 20) = 16

(45 - 20 +x)/( 36 - 16 + (x - 5)) = 7/5

(25 + x) (15 + x) = 7/5

(125 + 5x) = (105 + 7x)

2x = 20

x = 10 

Final quantity of mixture = (25 + 10 + 20 + 5) = 60 litres

Solution:

The average of five consecutive even numbers = 5 × 42 = 210

Let the even numbers be a, (a + 2), (a + 4), (a + 6) and (a + 8) 

(a + a + 2 + a + 4 + a + 6 + a + 8) = 210

(5a + 20) = 210

a = 190/5 = 38

Smallest even number is 2 more than x

If smallest even number = 38

Value of x = (38 - 2) = 36

Largest even number = 46

Value of y = 46 + 1 = 47

25% of x = 36/4 = 9

200% of y = 47 × (200/100) = 94

Required sum = (9 + 94) = 103

Unsold pants of A = 800-560=240

Pants transferred from A = 25% x 240 = 60

Unsold pants of C = 1200 – 900 = 300

Pants transferred from C = 40% x 300 = 120

Total pants received by B = 60 + 120 = 180

Pants sold from the received stock = 75% x 180 = 135

Revised sales of B = 760 + 135= 895

Pants sold at the regular price = 60% x 1000=600

Revenue from these pants = 600 x 750=₹4,50,000

Discounted selling price = 80% x ₹750=₹600

Remaining pants sold = 1000 – 600 = 400

Revenue from discounted pants = 400 x 600 = ₹2,40,000

Total revenue = ₹4,50,000+₹2,40,000=₹6,90,000

Manufacturing cost = 1400 x 450=₹6,30,000

Packaging expense = 1000 x 30=₹30,000

Total cost = ₹6,30,000+₹30,000=₹6,60,000

Profit = ₹6,90,000 - ₹6,60,000 = ₹30,000

Present total production = 800+1000+1200+1400=4400

Next-month production of A and B = (800+1000) x 125%

= 1800 x 1.25 = 2250

Next-month production of C and D = (1200+1400) x 90% = 2600 x 0.90=2340

Total production next month = 2250+2340=4590

Required increase = 4590 – 4400 = 190

Additional pants sold by C = 20% x 300 = 60

Revised sales of C = 900+60=960

Pants returned to D = 10% x 1000=100

Revised sales of D = 1000-100=900

Required ratio = 960:900=16:15

Company A

Original sales revenue = 560 x 500 = ₹2,80,000

Clearance sale quantity = 50% x 240 = 120

Clearance selling price = 60% x ₹500 = ₹300

Clearance revenue = 120 x 300 = ₹36,000

Total revenue of A = ₹2,80,000 + ₹36,000 = ₹3,16,000

Manufacturing cost = 800 x 350 = ₹2,80,000

Profit of A = ₹3,16,000 - ₹2,80,000 = ₹36,000

Company B

Original sales revenue = 760 x 600 = ₹4,56,000

Clearance sale quantity = 25% x 240 = 60

Clearance selling price = 70% x ₹600 = ₹420

Clearance revenue = 60 x 420 = ₹25,200

Total revenue of B = ₹4,56,000+₹25,200=₹4,81,200

Manufacturing cost= 1000 x 420=₹4,20,000

Profit of B = ₹4,81,200-₹4,20,000=₹61,200

Combined profit = ₹36,000+₹61,200 = ₹97,200

Given:

205 , 236 , 279 , 304 , 341

Calculation:

Here the logic follows as,

Hence, 279 is the wrong term

(\therefore) The correct answer is 279.

Quantity A:

Distance covered by the train in the same time = 1260 × 6/7 = 1080 km

Quantity B:

A 320 m long train crosses a tunnel thrice its length in 32 sec

⇒ Speed of the train = (320 + 320 × 3) /32 = 40 m/s

⇒ Distance covered by the train in 8 hours = 40 × 8 × 18/5 = 1152 km

∴ Quantity A < Quantity B

Quantity I:

Age of grandson = 19 – 9 = 10 years

Age of Rohit = 10 × 6 + 11 = 71 years

Quantity II:

Required average (= \frac{{12; \times ;30 - 2; \times ;25}}{{10}})

= (\frac{{360 - 50}}{{10}})

= 31 years

∴ Quantity I > Quantity II

General Solution:

Orchard Area Division

Total land = 6 acres

Rajat : Suman = 4 : 2 ⇒  2 : 1

Apple Production in 2021:

Let Rajat's production = R₁ kg

He gave 60 kg to Suman, which was 10% of his production

⇒ 10% of R₁ = 60 ⇒ R₁ = 600 kg

Suman got 60 kg which increased his total by 30%

⇒ 60 = 30% of S₁ ⇒ S₁ = 200 kg

2021: Rajat = 600 kg, Suman = 200 kg

2022 Production:

Suman's 2022 production = 50% more than 2021 = 200 + 50% of 200 = 300 kg

He gives 20% of 300 = 60 kg to Rajat

Let Rajat's 2022 own production = R₂

Total apples with Rajat = R₂ + 60 = 15% more than R₂

⇒ R₂ + 60 = R₂ + 15% of R₂ = R₂ × 1.15

⇒ R₂ + 60 = 1.15R₂ ⇒ 60 = 0.15R₂ ⇒ R₂ = 400 kg

2022: Rajat = 400 kg, Suman = 300 kg

2023 Production:

Both produced equal quantities

Rajat's 2023 production is 20% more than previous year = 400 + 20% of 400 = 480 kg

⇒ So, Suman’s 2023 production = 480 kg

2023: Rajat = 480 kg, Suman = 480 kg

Thus:

 

Calculations:

Apple prices per year:

2021: ₹50 per kg

2022: ₹50 + 10% = ₹55 per kg

2023: ₹55 + 10% = ₹60.5 per kg

Suman's final apple quantity each year

2021: He had 200 kg + 60 kg from Rajat = 260 kg

2022: Produced 300 kg – gave 60 kg to Rajat = 240 kg

2023: Produced = 480 kg

Calculate Revenue for each year:

2021: 260 kg × ₹50 = ₹13,000

2022: 240 kg × ₹55 = ₹13,200

2023: 480 kg × ₹60.5 = ₹29,040

Total Revenue = 13,000 + 13,200 + 29,040 = ₹55,240

Thus, the correct answer is ₹55,240.

General Solution:

Orchard Area Division

Total land = 6 acres

Rajat : Suman = 4 : 2 ⇒  2 : 1

Apple Production in 2021:

Let Rajat's production = R₁ kg

He gave 60 kg to Suman, which was 10% of his production

⇒ 10% of R₁ = 60 ⇒ R₁ = 600 kg

Suman got 60 kg which increased his total by 30%

⇒ 60 = 30% of S₁ ⇒ S₁ = 200 kg

2021: Rajat = 600 kg, Suman = 200 kg

2022 Production:

Suman's 2022 production = 50% more than 2021 = 200 + 50% of 200 = 300 kg

He gives 20% of 300 = 60 kg to Rajat

Let Rajat's 2022 own production = R₂

Total apples with Rajat = R₂ + 60 = 15% more than R₂

⇒ R₂ + 60 = R₂ + 15% of R₂ = R₂ × 1.15

⇒ R₂ + 60 = 1.15R₂ ⇒ 60 = 0.15R₂ ⇒ R₂ = 400 kg

2022: Rajat = 400 kg, Suman = 300 kg

2023 Production:

Both produced equal quantities

Rajat's 2023 production is 20% more than previous year = 400 + 20% of 400 = 480 kg

⇒ So, Suman’s 2023 production = 480 kg

2023: Rajat = 480 kg, Suman = 480 kg

Thus:

 

Calculations:

2022 Apple Quantities:

Rajat's own production in 2022 = 400 kg

He received 60 kg from Suman

Total apples with Rajat = 400 + 60 = 460 kg

Suman's production = 300 kg

He gave 20% of 300 = 60 kg to Rajat

Total apples left with Suman = 300 − 60 = 240 kg

Required Ratio:

⇒ Rajat : Suman = 460 : 240 ⇒ 23 : 12

Thus, the correct answer is 23 : 12.

General Solution:

Orchard Area Division

Total land = 6 acres

Rajat : Suman = 4 : 2 ⇒  2 : 1

Apple Production in 2021:

Let Rajat's production = R₁ kg

He gave 60 kg to Suman, which was 10% of his production

⇒ 10% of R₁ = 60 ⇒ R₁ = 600 kg

Suman got 60 kg which increased his total by 30%

⇒ 60 = 30% of S₁ ⇒ S₁ = 200 kg

2021: Rajat = 600 kg, Suman = 200 kg

2022 Production:

Suman's 2022 production = 50% more than 2021 = 200 + 50% of 200 = 300 kg

He gives 20% of 300 = 60 kg to Rajat

Let Rajat's 2022 own production = R₂

Total apples with Rajat = R₂ + 60 = 15% more than R₂

⇒ R₂ + 60 = R₂ + 15% of R₂ = R₂ × 1.15

⇒ R₂ + 60 = 1.15R₂ ⇒ 60 = 0.15R₂ ⇒ R₂ = 400 kg

2022: Rajat = 400 kg, Suman = 300 kg

2023 Production:

Both produced equal quantities

Rajat's 2023 production is 20% more than previous year = 400 + 20% of 400 = 480 kg

⇒ So, Suman’s 2023 production = 480 kg

2023: Rajat = 480 kg, Suman = 480 kg

Thus:

 

Calculations:

2021 total = 600 (Rajat) + 200 (Suman) = 800 kg

2023 total = 480 + 480 = 960 kg

Change over 2 years = 960 − 800 = 160 kg

Average annual % increase = [(Final − Initial)/Initial] ÷ 2 × 100

⇒ (960 − 800)/800 × 100 = 20% over 2 years ⇒ Annual average = 10%

2024 projection = 960 × (1 + 10/100) = 960 × 1.10 = 1056 kg

∴ Approximate total production in 2024 = 1056 kg

Shortcut Trick

Let Expenditure of P, Q, R be 4x, 5x, 4x respectively.

Income of P = 1.6 × 5x = 8x. Savings of R = 8x ÷ 2.5 = 3.2x.

Savings of P = Income P − Exp P = 8x − 4x = 4x.

Difference (Savings P − R) = 4x − 3.2x = 0.8x = ₹1,600 ⇒ x = 2000.

Income of Q = 3 × 4x = 12x. Savings of Q = 12x − 5x = 7x = 7 × 2000 = ₹14,000.

∴ The correct answer is ₹14,000.

Alternate Method

Given: Ratio of Expenditures P:Q:R = 4:5:4. Let they be 4x, 5x and 4x.

Formula: Savings = Income − Expenditure

⇒ Income of P = 160% of Expenditure of Q = 1.6 × 5x = 8x

⇒ Savings of R: Income of P is 150% more (i.e., 250%) than Savings of R

⇒ 8x = 2.5 × Savings of R ⇒ Savings of R = 8x ÷ 2.5 = 3.2x

⇒ Savings of P = Income of P − Expenditure of P = 8x − 4x = 4x

⇒ Difference in Savings (P and R) = 4x − 3.2x = 0.8x

⇒ 0.8x = 1600 ⇒ x = 2000

⇒ Income of Q = 3 × Expenditure of R = 3 × 4x = 12x

⇒ Savings of Q = Income of Q − Expenditure of Q = 12x − 5x = 7x

⇒ Savings of Q = 7 × 2000 = ₹14,000

∴ The correct answer is ₹14,000.

Additional Information

Income-Expenditure Relation

The fundamental relation used in these problems is Income = Expenditure + Savings.

Percentage Increase

If a value is A% more than B, then the value is (100 + A)% of B or (1 + A/100) × B.

Ratio Balancing

When multiple components (Income, Exp) are linked across different people, expressing all terms in a single variable (x) simplifies the comparison.

Given:

P invested = ₹60,000 for 12 months

Q invested = ₹80,000 for 9 months

R invested = ₹x for 8 months

P's share in profit = 30%

Calculation:

⇒ Profit ratio is proportional to Investment × Time

⇒ P's investment unit

= 60,000 × 12 = 7,20,000

⇒ Q's investment unit

= 80,000 × 9 = 7,20,000

⇒ R's investment unit = 8x

⇒ According to the question,

7,20,000/(7,20,000 + 7,20,000 + 8x) = 30/100

⇒ 7,20,000/(14,40,000 + 8x) = 3/10

⇒ 72,00,000 = 43,20,000 + 24x

⇒ 28,80,000 = 24x

⇒ x = ₹1,20,000

Given:

Downstream distance = 48 km

Downstream time = 3 hours

Upstream distance = 30 km

Upstream time = 3 hours

Calculation:

⇒ Downstream speed = 48 ÷ 3 = 16 km/h

⇒ Upstream speed = 30 ÷ 3 = 10 km/h

⇒ Speed of boat in still water = (16 + 10)/2 = 26/2 = 13 km/h

Final Answer = 13 km/h

Given:

Ratio of A : B = 5 : 7

Ratio of A : C = 5 : 9

After 4 years, the sum of the ages of B and C = 88 years

Calculation:

⇒ Let the present age of A = 5x

⇒ Present age of B = 7x

⇒ Present age of C = 9x

⇒ According to the question,

(7x + 4) + (9x + 4) = 88

⇒ 16x + 8 = 88

⇒ 16x = 80

⇒ x = 5

⇒ Present age of A = 5 × 5 = 25 years

Final Answer = 25 years

Given:

Two stations A and B are 180 km apart

Two trains meet after 5 hours

The local train is 4 km/hr faster than the goods train

Concept Used:

Distance = speed × time

Calculation:

Let, the speed of the goods train = A km/hr

And, speed of local train = (A + 4) km/hr

According to the question,

⇒ 180/(A + A + 4) = 5

⇒ 2A = 32

⇒ A = 16

The speed of the local train = (16 + 4) = 20 km/hr

∴ The correct answer is option 1

Calculation

A + B can complete work in 40 days

B + C can complete work in 60 days

A + C can complete work in 30 days

A + B + C complete 3/2 work together

Total wage = Rs. 5400

We are to find C's share.

Take total work as LCM of 40, 60, 30

LCM of 40, 60, and 30 = 120 units

Now we compute the combined efficiencies:

A + B = 120 / 40 = 3 units/day

B + C = 120 / 60 = 2 units/day

A + C = 120 / 30 = 4 units/day

Let’s add:

(A+B) + (B+C) + (A+C) = 3+2+4=9 units/day

A+B+C = 9/2 = 4.5 units/day

Total work done by A + B + C

They complete 3/2 of total work.

Total work = 120 units

⇒ 3/2 × 120 = 180 units

Since A + B + C = 4.5 units/day:

Days = 180 / 4.5 = 40 days

C’s efficiency = 4.5 – 3 = 1.5

In 40 days C did 40  × 1.5 = 60 unit work

Wage for per unit work is 5400 / 180 = 30

So, C’s wage = 60 × 30 = 1800

Given Series:

3375, 289, 6859, 441, 12167, (?)

The logic followed here is as follows:

⇒ (15)³ = 3375

⇒ (17)² = 289

⇒ (19)³ = 6859

⇒ (21)² = 441

⇒ (23)³ = 12167

⇒ (25)² = 625

Hence, 625 will come in the place of (?).

Given Series:

1220, 1617, 2086, 2633, 3264, (?)

The logic followed here is as follows:

⇒ (11)³ - 111 = 1220

⇒ (12)³ - 111 = 1617

⇒  (13)3 - 111 = 2086

⇒  (14)3 - 111 = 2633

⇒  (15)3 - 111 = 3264

⇒  (16)3 - 111 = 3985

Hence, 3985 will come in the place of (?).

Given Series:

2, 12, 130, 56, (?), 132

The logic followed here is as follows:

⇒ 1 + 1³ = 2

⇒ 3 + 3² = 12

⇒ 5 + 5³ = 130

⇒ 7 + 7² = 56

⇒ 9 + 9³ = 738

⇒ 11 + 11² = 132

Hence, 738 will come in the place of (?).

 

Original candidates in centre A,

Male = 250 and Female = 200

Seventy candidates are transferred from E to A in the ratio = 4:3

Total parts = 4 + 3 = 7

Male candidates transferred to A = 70 x 4/7 = 40

Female candidates transferred to A = 70 x 3/7 = 30

Also, 20% of the original female candidates of A are transferred to E.

20% x 200 = 40

Therefore, the new number of male candidates in A = 250 + 40 = 290

The new number of female candidates in A = 200 + 30 – 40 = 190

Required ratio = 290:190 = 29:19

 

New males in D = 120% x 210 = 252

New females = 90% x 150 = 135

New total = 252 + 135 = 387

Required Difference = 550 – 387 = 163

 

Male candidates in A and B = 250 + 300 = 550

Qualified male candidates = 20% x 550 = 110

Female candidates in C and E = 200 + 300 = 500

Qualified female candidates = 25% x 500 = 125

Required ratio = 110:125 = 22:25

 

20% of 450 = 90 candidates

Transferred males and females = 90 x (5/9) = 50

Transferred females = 90 x (4/9) = 40

New ratio in C = (260 + 50): (200 + 40) = 31:24

 

Males in A, C and E = 250 + 260 + 330 = 840

Females in B and D = 250 + 150 = 400

Required percentage more = (840 – 400)/400 x 100 = 110%

Box = A, B, C, D, E, F, and G

Fruits = Grapes, Apple, Mango, Banana, Orange, Strawberry, and Guava

1. There are four boxes above box A but below box F.

2. Either box C or box E is at the bottom.

(Implies, box A is not at the bottom. Thus, there is only one possibility now i.e. box F is at the top and box A is at the second position from bottom.)

 

3. The box at the top contains either Apple or Guava.

4. At least five boxes are kept below the box that contains Banana.

(Implies, the box that contains Banana is either at the 6^th position or at the 7^th position from the bottom. Also, according to statement 3, the box that contains Banana is not at the top which means it is at the 6^th position from the bottom.)

 

5. There are three boxes between box C and box B.

(It is only possible if we place box C or box B at the bottom and the other box at the 5^th position from the bottom. Also, according to statement 2, we know that either box C or box E is at the bottom which means that box C is at the bottom and box B is at the 5^th position.)

 

6. The box that contains Apple is just below the box that contains Banana but two boxes above the box that contains Mango.

(Implies, box B contains Apple and the box that contains Mango is at the 3^rd position from bottom.)

 

7. Box G contains either Strawberry or Apple.

(It is clear from the current setup in the table that box G is at the 4^th position. Also, according to statement 3, it is clear that the box at the top does not contain Apple. Implies, the box at the top contains Guava.)

 

8. The box that contains Grapes is two boxes below box E.

(It is only possible if we place box E at the 3^rd position from bottom and the box that contains Grapes at the bottom. Now, only one box i.e. D is left to be placed that we can place at the 6^th position from the bottom as it is the only position left. Also, only one fruit is left to be mapped with its box i.e. Orange, thus, box A contains Orange.)

 

Clearly, box E contains Mango.

Box = A, B, C, D, E, F, and G

Fruits = Grapes, Apple, Mango, Banana, Orange, Strawberry, and Guava

1. There are four boxes above box A but below box F.

2. Either box C or box E is at the bottom.

(Implies, box A is not at the bottom. Thus, there is only one possibility now i.e. box F is at the top and box A is at the second position from bottom.)

 

3. The box at the top contains either Apple or Guava.

4. At least five boxes are kept below the box that contains Banana.

(Implies, the box that contains Banana is either at the 6th position or at the 7th position from the bottom. Also, according to statement 3, the box that contains Banana is not at the top which means it is at the 6th position from the bottom.)

 

5. There are three boxes between box C and box B.

(It is only possible if we place box C or box B at the bottom and the other box at the 5th position from the bottom. Also, according to statement 2, we know that either box C or box E is at the bottom which means that box C is at the bottom and box B is at the 5th position.)

 

6. The box that contains Apple is just below the box that contains Banana but two boxes above the box that contains Mango.

(Implies, box B contains Apple and the box that contains Mango is at the 3rd position from bottom.)

 

7. Box G contains either Strawberry or Apple.

(It is clear from the current setup in the table that box G is at the 4th position. Also, according to statement 3, it is clear that the box at the top does not contain Apple. Implies, the box at the top contains Guava.)

 

8. The box that contains Grapes is two boxes below box E.

(It is only possible if we place box E at the 3rd position from bottom and the box that contains Grapes at the bottom. Now, only one box i.e. D is left to be placed that we can place at the 6th position from the bottom as it is the only position left. Also, only one fruit is left to be mapped with its box i.e. Orange, thus, box A contains Orange.)

 

स्पष्टतः, बॉक्स D सबसे ऊपर से दूसरे स्थान पर स्थित है।

Box = A, B, C, D, E, F, and G

Fruits = Grapes, Apple, Mango, Banana, Orange, Strawberry, and Guava

1. There are four boxes above box A but below box F.

2. Either box C or box E is at the bottom.

(Implies, box A is not at the bottom. Thus, there is only one possibility now i.e. box F is at the top and box A is at the second position from bottom.)

 

3. The box at the top contains either Apple or Guava.

4. At least five boxes are kept below the box that contains Banana.

(Implies, the box that contains Banana is either at the 6th position or at the 7th position from the bottom. Also, according to statement 3, the box that contains Banana is not at the top which means it is at the 6th position from the bottom.)

 

5. There are three boxes between box C and box B.

(It is only possible if we place box C or box B at the bottom and the other box at the 5th position from the bottom. Also, according to statement 2, we know that either box C or box E is at the bottom which means that box C is at the bottom and box B is at the 5th position.)

 

6. The box that contains Apple is just below the box that contains Banana but two boxes above the box that contains Mango.

(Implies, box B contains Apple and the box that contains Mango is at the 3rd position from bottom.)

 

7. Box G contains either Strawberry or Apple.

(It is clear from the current setup in the table that box G is at the 4th position. Also, according to statement 3, it is clear that the box at the top does not contain Apple. Implies, the box at the top contains Guava.)

 

8. The box that contains Grapes is two boxes below box E.

(It is only possible if we place box E at the 3rd position from bottom and the box that contains Grapes at the bottom. Now, only one box i.e. D is left to be placed that we can place at the 6th position from the bottom as it is the only position left. Also, only one fruit is left to be mapped with its box i.e. Orange, thus, box A contains Orange.)

 

Clearly, box F contains Guava.

Box = A, B, C, D, E, F, and G

Fruits = Grapes, Apple, Mango, Banana, Orange, Strawberry, and Guava

1. There are four boxes above box A but below box F.

2. Either box C or box E is at the bottom.

(Implies, box A is not at the bottom. Thus, there is only one possibility now i.e. box F is at the top and box A is at the second position from bottom.)

 

3. The box at the top contains either Apple or Guava.

4. At least five boxes are kept below the box that contains Banana.

(Implies, the box that contains Banana is either at the 6th position or at the 7th position from the bottom. Also, according to statement 3, the box that contains Banana is not at the top which means it is at the 6th position from the bottom.)

 

5. There are three boxes between box C and box B.

(It is only possible if we place box C or box B at the bottom and the other box at the 5th position from the bottom. Also, according to statement 2, we know that either box C or box E is at the bottom which means that box C is at the bottom and box B is at the 5th position.)

 

6. The box that contains Apple is just below the box that contains Banana but two boxes above the box that contains Mango.

(Implies, box B contains Apple and the box that contains Mango is at the 3rd position from bottom.)

 

7. Box G contains either Strawberry or Apple.

(It is clear from the current setup in the table that box G is at the 4th position. Also, according to statement 3, it is clear that the box at the top does not contain Apple. Implies, the box at the top contains Guava.)

 

8. The box that contains Grapes is two boxes below box E.

(It is only possible if we place box E at the 3rd position from bottom and the box that contains Grapes at the bottom. Now, only one box i.e. D is left to be placed that we can place at the 6th position from the bottom as it is the only position left. Also, only one fruit is left to be mapped with its box i.e. Orange, thus, box A contains Orange.)

 

Box E is at the third position from the bottom and it contains Mango.

Box = A, B, C, D, E, F, and G

Fruits = Grapes, Apple, Mango, Banana, Orange, Strawberry, and Guava

1. There are four boxes above box A but below box F.

2. Either box C or box E is at the bottom.

(Implies, box A is not at the bottom. Thus, there is only one possibility now i.e. box F is at the top and box A is at the second position from bottom.)

 

3. The box at the top contains either Apple or Guava.

4. At least five boxes are kept below the box that contains Banana.

(Implies, the box that contains Banana is either at the 6th position or at the 7th position from the bottom. Also, according to statement 3, the box that contains Banana is not at the top which means it is at the 6th position from the bottom.)

 

5. There are three boxes between box C and box B.

(It is only possible if we place box C or box B at the bottom and the other box at the 5th position from the bottom. Also, according to statement 2, we know that either box C or box E is at the bottom which means that box C is at the bottom and box B is at the 5th position.)

 

6. The box that contains Apple is just below the box that contains Banana but two boxes above the box that contains Mango.

(Implies, box B contains Apple and the box that contains Mango is at the 3rd position from bottom.)

 

7. Box G contains either Strawberry or Apple.

(It is clear from the current setup in the table that box G is at the 4th position. Also, according to statement 3, it is clear that the box at the top does not contain Apple. Implies, the box at the top contains Guava.)

 

8. The box that contains Grapes is two boxes below box E.

(It is only possible if we place box E at the 3rd position from bottom and the box that contains Grapes at the bottom. Now, only one box i.e. D is left to be placed that we can place at the 6th position from the bottom as it is the only position left. Also, only one fruit is left to be mapped with its box i.e. Orange, thus, box A contains Orange.)

 

Clearly, box G is at the 4^th position from the bottom.

Persons: P, Q, R, S, T, U, V and W.

Lucky numbers: 10, 13, 17, 18, 25, 30, 33 and 40.

1. T sits third to the right of U and both face in same direction.

2. The lucky number of T is three more than that of P.

3. The one, whose lucky number is 40, sits second to the right of T.

4. The neighbors of U face in same direction.

Case 1:

Case 2:

5. The lucky number of Q is 18 and Q faces towards the center.

6. Neither U nor T is adjacent to Q.

Case 1:

Case 2:

7. The persons adjacent to Q face in same direction. So, case 2 is rejected.

8. S faces towards the center and is not opposite to Q.

9. P sits immediate right of W, whose lucky number is 13.

10. The lucky number of V is greater than that of R. So, the lucky number of V must be 40.

11. The person opposite to R has lucky number 33. So, the lucky number of T and P must be 33 and 30 respectively.

12. The lucky number of S is a prime number. So, the lucky number of S is 17.

Final Case:

Hence, the lucky number of T is 33.

Persons: P, Q, R, S, T, U, V and W.

Lucky numbers: 10, 13, 17, 18, 25, 30, 33 and 40.

1. T sits third to the right of U and both face in same direction.

2. The lucky number of T is three more than that of P.

3. The one, whose lucky number is 40, sits second to the right of T.

4. The neighbors of U face in same direction.

Case 1:

Case 2:

5. The lucky number of Q is 18 and Q faces towards the center.

6. Neither U nor T is adjacent to Q.

Case 1:

Case 2:

7. The persons adjacent to Q face in same direction. So, case 2 is rejected.

8. S faces towards the center and is not opposite to Q.

9. P sits immediate right of W, whose lucky number is 13.

10. The lucky number of V is greater than that of R. So, the lucky number of V must be 40.

11. The person opposite to R has lucky number 33. So, the lucky number of T and P must be 33 and 30 respectively.

12. The lucky number of S is a prime number. So, the lucky number of S is 17.

Final Case:

Hence, T sits immediate left of W.

Persons: P, Q, R, S, T, U, V and W.

Lucky numbers: 10, 13, 17, 18, 25, 30, 33 and 40.

1. T sits third to the right of U and both face in same direction.

2. The lucky number of T is three more than that of P.

3. The one, whose lucky number is 40, sits second to the right of T.

4. The neighbors of U face in same direction.

Case 1:

Case 2:

5. The lucky number of Q is 18 and Q faces towards the center.

6. Neither U nor T is adjacent to Q.

Case 1:

Case 2:

7. The persons adjacent to Q face in same direction. So, case 2 is rejected.

8. S faces towards the center and is not opposite to Q.

9. P sits immediate right of W, whose lucky number is 13.

10. The lucky number of V is greater than that of R. So, the lucky number of V must be 40.

11. The person opposite to R has lucky number 33. So, the lucky number of T and P must be 33 and 30 respectively.

12. The lucky number of S is a prime number. So, the lucky number of S is 17.

Final Case:

The difference in the lucky number of U and R = 25 – 10 = 15.

Hence, the difference in the lucky number of U and R is 15.

Persons: P, Q, R, S, T, U, V and W.

Lucky numbers: 10, 13, 17, 18, 25, 30, 33 and 40.

1. T sits third to the right of U and both face in same direction.

2. The lucky number of T is three more than that of P.

3. The one, whose lucky number is 40, sits second to the right of T.

4. The neighbors of U face in same direction.

Case 1:

Case 2:

5. The lucky number of Q is 18 and Q faces towards the center.

6. Neither U nor T is adjacent to Q.

Case 1:

Case 2:

7. The persons adjacent to Q face in same direction. So, case 2 is rejected.

8. S faces towards the center and is not opposite to Q.

9. P sits immediate right of W, whose lucky number is 13.

10. The lucky number of V is greater than that of R. So, the lucky number of V must be 40.

11. The person opposite to R has lucky number 33. So, the lucky number of T and P must be 33 and 30 respectively.

12. The lucky number of S is a prime number. So, the lucky number of S is 17.

Final Case:

Hence, the lucky number of V is 40.

Persons: P, Q, R, S, T, U, V and W.

Lucky numbers: 10, 13, 17, 18, 25, 30, 33 and 40.

1. T sits third to the right of U and both face in same direction.

2. The lucky number of T is three more than that of P.

3. The one, whose lucky number is 40, sits second to the right of T.

4. The neighbors of U face in same direction.

Case 1:

Case 2:

5. The lucky number of Q is 18 and Q faces towards the center.

6. Neither U nor T is adjacent to Q.

Case 1:

Case 2:

7. The persons adjacent to Q face in same direction. So, case 2 is rejected.

8. S faces towards the center and is not opposite to Q.

9. P sits immediate right of W, whose lucky number is 13.

10. The lucky number of V is greater than that of R. So, the lucky number of V must be 40.

11. The person opposite to R has lucky number 33. So, the lucky number of T and P must be 33 and 30 respectively.

12. The lucky number of S is a prime number. So, the lucky number of S is 17.

Final Case:

Hence, S sits second to the left of W.

:The pattern for the code is as follows,

Similarly,

Therefore, INTEREST is written as SMHSFUTF.

Given:  Eleven persons – A, B, C, D, E, F, G, H, I, J and K are participating in three different sports viz. Cricket, Football and Badminton. At-least two persons but not more than four persons are participating in the same sport.

Note: If it is given that ‘X’ is participating in the sport along with ‘Y’, then both are participating in the same sport.

1. B is participating in the sport along with H but doesn’t participate in Cricket. 
2. D is participating in neither Badminton nor participating in the sport along with H. 

So, there are three cases here case 1, case 2 and case 2a;

 

3. A is neither participating in the sport with D nor participating in Badminton. 
4. I is not participating in Football and Cricket. 
5. Both F and C are participating in the same sport.  6. C is participating in the sport with A.

Case 2 gets eliminated because there is no space left for C.

 

7. Neither C nor A are participating in the sport along with G. 
8. Both G and E are participating in different sports. 
9. E doesn’t participate in the sport along with B and C. 10. J and K participate in Football.

Case 1 gets eliminated because there is no place left for E. So, the final arrangement:

 

If D is related to Football and I is related to Badminton in a certain way, then in the same way, A is related to Cricket.

Hence, the correct answer is ‘Cricket ’.

Given:  Eleven persons – A, B, C, D, E, F, G, H, I, J and K are participating in three different sports viz. Cricket, Football and Badminton. At-least two persons but not more than four persons are participating in the same sport.

Note: If it is given that ‘X’ is participating in the sport along with ‘Y’, then both are participating in the same sport.

1. B is participating in the sport along with H but doesn’t participate in Cricket. 
2. D is participating in neither Badminton nor participating in the sport along with H. 

So, there are three cases here case 1, case 2 and case 2a;

 

3. A is neither participating in the sport with D nor participating in Badminton. 
4. I is not participating in Football and Cricket. 
5. Both F and C are participating in the same sport.  6. C is participating in the sport with A.

Case 2 gets eliminated because there is no space left for C.

 

7. Neither C nor A are participating in the sport along with G. 
8. Both G and E are participating in different sports. 
9. E doesn’t participate in the sport along with B and C. 10. J and K participate in Football.

Case 1 gets eliminated because there is no place left for E. So, the final arrangement:

 

Four persons are participating in the Football.

Hence, the correct answer is ‘Four’.

Given:  Eleven persons – A, B, C, D, E, F, G, H, I, J and K are participating in three different sports viz. Cricket, Football and Badminton. At-least two persons but not more than four persons are participating in the same sport.

Note: If it is given that ‘X’ is participating in the sport along with ‘Y’, then both are participating in the same sport.

1. B is participating in the sport along with H but doesn’t participate in Cricket. 
2. D is participating in neither Badminton nor participating in the sport along with H. 

So, there are three cases here case 1, case 2 and case 2a;

 

3. A is neither participating in the sport with D nor participating in Badminton. 
4. I is not participating in Football and Cricket. 
5. Both F and C are participating in the same sport.  6. C is participating in the sport with A.

Case 2 gets eliminated because there is no space left for C.

 

7. Neither C nor A are participating in the sport along with G. 
8. Both G and E are participating in different sports. 
9. E doesn’t participate in the sport along with B and C. 10. J and K participate in Football.

Case 1 gets eliminated because there is no place left for E. So, the final arrangement:

 

True combination: B-Badminton

Hence, the correct answer is ‘B-Badminton’.

Given: Eleven persons – A, B, C, D, E, F, G, H, I, J and K are participating in three different sports viz. Cricket, Football and Badminton. At-least two persons but not more than four persons are participating in the same sport.

Note: If it is given that ‘X’ is participating in the sport along with ‘Y’, then both are participating in the same sport.

1. B is participating in the sport along with H but doesn’t participate in Cricket. 
2. D is participating in neither Badminton nor participating in the sport along with H. 

So, there are three cases here case 1, case 2 and case 2a;

 

3. A is neither participating in the sport with D nor participating in Badminton. 
4. I is not participating in Football and Cricket. 
5. Both F and C are participating in the same sport.  6. C is participating in the sport with A.

Case 2 gets eliminated because there is no space left for C.

 

7. Neither C nor A are participating in the sport along with G. 
8. Both G and E are participating in different sports. 
9. E doesn’t participate in the sport along with B and C. 10. J and K participate in Football.

Case 1 gets eliminated because there is no place left for E. So, the final arrangement:

 

True statement: F and A are participating in Cricket

Hence, the correct answer is ‘F and A are participating in Cricket’.

Given:  Eleven persons – A, B, C, D, E, F, G, H, I, J and K are participating in three different sports viz. Cricket, Football and Badminton. At-least two persons but not more than four persons are participating in the same sport.

Note: If it is given that ‘X’ is participating in the sport along with ‘Y’, then both are participating in the same sport.

1. B is participating in the sport along with H but doesn’t participate in Cricket. 
2. D is participating in neither Badminton nor participating in the sport along with H. 

So, there are three cases here case 1, case 2 and case 2a;

 

3. A is neither participating in the sport with D nor participating in Badminton. 
4. I is not participating in Football and Cricket. 
5. Both F and C are participating in the same sport.  6. C is participating in the sport with A.

Case 2 gets eliminated because there is no space left for C.

 

7. Neither C nor A are participating in the sport along with G. 
8. Both G and E are participating in different sports. 
9. E doesn’t participate in the sport along with B and C. 10. J and K participate in Football.

Case 1 gets eliminated because there is no place left for E. So, the final arrangement:

 

G participates in Badminton.

Hence, the correct answer is ‘G’.

Given number: 2863471592

 

Therefore, there are two odd numbers in the final number, which are immediately followed by an even number. 

Hence, the correct answer is 2.