SBI PO Prelims Memory Based Paper (Held On: 4 August 2025 Shift 1) (Previous Year Paper)

The correct answer is option 4) A

 Key Points

• The correct sequence or order of the segments after rearrangement is A -> E -> C -> D -> F -> B.
• 'A' logically comes first, introducing the main overarching theme: the transformative power of artificial intelligence (AI) and its profound impact on employment.
• 'E' follows 'A', narrowing the focus to clarify a crucial perspective—that this technological impact on jobs is not a zero-sum game.
• 'C' is fixed as the third sentence, directly expanding on the "not a zero-sum game" concept by showing how automation displaces some job categories while simultaneously creating new ones.
• 'D' follows 'C', introducing a contrast ('However') to highlight the significant effort required by employees and employers to reskill and upskill the workforce.
• 'F' follows 'D', stating that policymakers and business leaders must collaborate to create supportive environments that facilitate "this transition" mentioned in D.
• 'B' concludes the paragraph seamlessly, offering the ultimate solution: investing in education and training programs to harness AI's potential while mitigating its disruptive effects.

Paragraph after rearranging the sentences:

A. The transformative power of artificial intelligence (AI) is reshaping industries, leading to a profound impact on employment patterns.

E. It is essential to understand that technology's impact on jobs is not a zero-sum game.

C. While automation can lead to the displacement of certain job categories, it also creates new opportunities and transforms existing ones in ways that could benefit the workforce.

D. However, adapting to these technological changes requires significant effort from both employees and employers to reskill and upskill the workforce.

F. Policymakers and business leaders must collaborate to create supportive environments that facilitate this transition.

B. By investing in education and training programs, society can harness AI's potential while mitigating its disruptive effects.

The correct answer is option 3) E:

 Key Points

• The correct sequence or order of the segments after rearrangement is A -> E -> C -> D -> F -> B.
• 'A' logically comes first, introducing the main overarching theme: the transformative power of artificial intelligence (AI) and its profound impact on employment.
• 'E' follows 'A', narrowing the focus to clarify a crucial perspective—that this technological impact on jobs is not a zero-sum game.
• 'C' is fixed as the third sentence, directly expanding on the "not a zero-sum game" concept by showing how automation displaces some job categories while simultaneously creating new ones.
• 'D' follows 'C', introducing a contrast ('However') to highlight the significant effort required by employees and employers to reskill and upskill the workforce.
• 'F' follows 'D', stating that policymakers and business leaders must collaborate to create supportive environments that facilitate "this transition" mentioned in D.
• 'B' concludes the paragraph seamlessly, offering the ultimate solution: investing in education and training programs to harness AI's potential while mitigating its disruptive effects.

Paragraph after rearranging the sentences:

A. The transformative power of artificial intelligence (AI) is reshaping industries, leading to a profound impact on employment patterns.

E. It is essential to understand that technology's impact on jobs is not a zero-sum game.

C. While automation can lead to the displacement of certain job categories, it also creates new opportunities and transforms existing ones in ways that could benefit the workforce.

D. However, adapting to these technological changes requires significant effort from both employees and employers to reskill and upskill the workforce.

F. Policymakers and business leaders must collaborate to create supportive environments that facilitate this transition.

B. By investing in education and training programs, society can harness AI's potential while mitigating its disruptive effects.

The correct answer is D.

 

Key Points

• The paragraph discusses the impact of AI on jobs, the need to adapt, and the solutions required to navigate the workforce transition.
• Sentence A is the first sentence as it introduces the core subject—how AI is reshaping industries and affecting employment:
• "The transformative power of artificial intelligence (AI) is reshaping industries, leading to a profound impact on employment patterns."
• Sentence E is the second sentence, offering a broader perspective on this impact:
• "It is essential to understand that technology's impact on jobs is not a zero-sum game."
• Sentence C is fixed as the 3rd sentence, elaborating on why it is not a zero-sum game:
• "While automation can lead to the displacement of certain job categories, it also creates new opportunities and transforms existing ones in ways that could benefit the workforce."
• Sentence D is the fourth sentence, introducing the requirement to adapt through upskilling and reskilling:
• "However, adapting to these technological changes requires significant effort from both employees and employers to reskill and upskill the workforce."
• Sentence F is the fifth sentence, bringing in policymakers and leaders to support "this transition" mentioned in sentence D:
• "Policymakers and business leaders must collaborate to create supportive environments that facilitate this transition."
• Sentence B is the sixth sentence, providing a practical concluding solution for harnessing AI's potential:
• "By investing in education and training programs, society can harness AI's potential while mitigating its disruptive effects."
• The correct sequence is A - E - C - D - F - B, making D the FOURTH sentence.

 

Coherent paragraph after rearrangement:

"The transformative power of artificial intelligence (AI) is reshaping industries, leading to a profound impact on employment patterns. It is essential to understand that technology's impact on jobs is not a zero-sum game. While automation can lead to the displacement of certain job categories, it also creates new opportunities and transforms existing ones in ways that could benefit the workforce. However, adapting to these technological changes requires significant effort from both employees and employers to reskill and upskill the workforce. Policymakers and business leaders must collaborate to create supportive environments that facilitate this transition. By investing in education and training programs, society can harness AI's potential while mitigating its disruptive effects."

The correct answer is B.

 

Key Points

• The paragraph discusses the impact of AI on jobs, the need to adapt, and the solutions required to navigate the workforce transition.
• Sentence A is the first sentence as it introduces the core subject—how AI is reshaping industries and affecting employment:
• "The transformative power of artificial intelligence (AI) is reshaping industries, leading to a profound impact on employment patterns."
• Sentence E is the second sentence, offering a broader perspective on this impact:
• "It is essential to understand that technology's impact on jobs is not a zero-sum game."
• Sentence C is fixed as the 3rd sentence, elaborating on why it is not a zero-sum game:
• "While automation can lead to the displacement of certain job categories, it also creates new opportunities and transforms existing ones in ways that could benefit the workforce."
• Sentence D is the fourth sentence, introducing the requirement to adapt through upskilling and reskilling:
• "However, adapting to these technological changes requires significant effort from both employees and employers to reskill and upskill the workforce."
• Sentence F is the fifth sentence, bringing in policymakers and leaders to support "this transition" mentioned in sentence D:
• "Policymakers and business leaders must collaborate to create supportive environments that facilitate this transition."
• Sentence B is the sixth sentence, providing a practical concluding solution for harnessing AI's potential:
• "By investing in education and training programs, society can harness AI's potential while mitigating its disruptive effects."
• The correct sequence is A - E - C - D - F - B, making B the SIXTH sentence.

 

Coherent paragraph after rearrangement:

"The transformative power of artificial intelligence (AI) is reshaping industries, leading to a profound impact on employment patterns. It is essential to understand that technology's impact on jobs is not a zero-sum game. While automation can lead to the displacement of certain job categories, it also creates new opportunities and transforms existing ones in ways that could benefit the workforce. However, adapting to these technological changes requires significant effort from both employees and employers to reskill and upskill the workforce. Policymakers and business leaders must collaborate to create supportive environments that facilitate this transition. By investing in education and training programs, society can harness AI's potential while mitigating its disruptive effects."

The correct answer is option 3) F:

 Key Points

• The correct sequence or order of the segments after rearrangement is A -> E -> C -> D -> F -> B.
• 'A' logically comes first, introducing the main overarching theme: the transformative power of artificial intelligence (AI) and its profound impact on employment.
• 'E' follows 'A', narrowing the focus to clarify a crucial perspective—that this technological impact on jobs is not a zero-sum game.
• 'C' is fixed as the third sentence, directly expanding on the "not a zero-sum game" concept by showing how automation displaces some job categories while simultaneously creating new ones.
• 'D' follows 'C', introducing a contrast ('However') to highlight the significant effort required by employees and employers to reskill and upskill the workforce.
• 'F' follows 'D', stating that policymakers and business leaders must collaborate to create supportive environments that facilitate "this transition" mentioned in D.
• 'B' concludes the paragraph seamlessly, offering the ultimate solution: investing in education and training programs to harness AI's potential while mitigating its disruptive effects.

Paragraph after rearranging the sentences:

A. The transformative power of artificial intelligence (AI) is reshaping industries, leading to a profound impact on employment patterns.

E. It is essential to understand that technology's impact on jobs is not a zero-sum game.

C. While automation can lead to the displacement of certain job categories, it also creates new opportunities and transforms existing ones in ways that could benefit the workforce.

D. However, adapting to these technological changes requires significant effort from both employees and employers to reskill and upskill the workforce.

F. Policymakers and business leaders must collaborate to create supportive environments that facilitate this transition.

B. By investing in education and training programs, society can harness AI's potential while mitigating its disruptive effects.

The correct answer is option 2.

Key Points

• To answer this question, let's first understand the meaning of the word given in the question:
• Counsel: advice given formally or professionally; to recommend a course of action; or the act of giving advice or guidance. (सलाह देना, मार्गदर्शन करना)
• Now, let's examine the given sentences:
• Sentence A: She sought the counsel of a professional therapist to help deal with her anxiety issues.
• This sentence correctly uses the word "counsel" to mean advice or guidance given by a professional therapist to help someone with their issues.
• Sentence B: The new policy counsels employees to take regular breaks for better productivity.
• This sentence also correctly uses the word "counsels" to describe the act of giving advice or recommending a course of action.
• Sentence C: The jury had to deliberate for hours before giving their final counsel.
• This sentence incorrectly uses the word "counsel" because the jury delivers a verdict or decision, not advice or guidance.
• So, only Sentences A and B correctly use the word "counsel" in appropriate contexts.

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

The correct answer is option 2.

Key Points

• To answer this question, let's first understand the meaning of the word given in the question:
• Gait: refers to a person’s manner of walking or moving on foot. (चाल, चलने का तरीका)
• Now, let's examine the given sentences:
• Sentence A: His gait was slow and laboured after his knee surgery.
• This sentence correctly uses the word "gait" to describe the manner of walking affected by knee surgery.
• Sentence B: She was praised for her professional gait in the courtroom.
• This sentence also correctly uses the word "gait" to describe the manner of walking or posture in a professional setting.
• Sentence C: They installed a new gait at the entrance of the park.
• This sentence incorrectly uses the word "gait". Here, the intended word should be "gate", which refers to a hinged barrier used to close an opening.
• So, only sentences A and B correctly use the word "gait".

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

The correct answer is Option 3.

 

Key Points

• The passage highlights efforts to diversify Angola's economy by improving critical sectors.
• Specifically, education and healthcare sectors are mentioned as focal points for economic diversification.
• The focus on education includes revamping infrastructure and enhancing the quality of teaching.
• Therefore, the diversification efforts in the passage emphasize the importance of the education sector.

Therefore, the correct answer is Option 3.

 

Correct Context: Investments in education are seen as essential to breaking the cycle of poverty and setting the stage for sustainable growth in Angola.

 

Additional Information

• Technology: The passage does not indicate technological investments as a focus for diversification.
• Tourism: There is no mention of tourism being a part of the diversification strategy.
• Agriculture: The passage does not discuss agriculture in the context of diversification efforts.
• Infrastructure: Although infrastructure is mentioned, it is within the context of supporting educational reforms, not as a separate focal area for economic diversification.

The correct answer is Option 2.

 

Key Points

• The passage highlights several issues affecting Angola's healthcare system.
• One significant problem mentioned is the shortage of medical supplies and qualified personnel, particularly in rural areas.
• The lack of sufficient medical equipment and dilapidated facilities are specifically mentioned as challenges.
• This makes it difficult for healthcare providers to deliver quality services, exacerbating the issue of preventable diseases.

Therefore, the correct answer is Option 2.

 

Correct Context: Hospitals and clinics, particularly in rural areas, suffer from a shortage of medical supplies and qualified personnel. Chronic underfunding has led to dilapidated facilities and insufficient medical equipment, making it challenging for healthcare providers to deliver quality services.

 

Additional Information

• Limited international aid: Though mentioned, it is identified as a temporary relief measure, not the primary hindrance.
• High cost of pharmaceuticals: This issue is not discussed in the passage.
• Overpopulation in urban areas: While there is mention of rural migrants putting pressure on urban resources, this is a secondary issue.
• Lack of technological advancements: This is not mentioned as a significant hindrance in the passage.

The correct answer is Option 2.

 

Key Points

• The passage mentions specific systemic issues in Angola's education sector that need to be addressed.
• One of these issues is teacher absenteeism, which hampers the progress of many students.
• Other issues include low salaries and lack of continuous professional development, but the question asks for one specific issue, and teacher absenteeism is notably mentioned.

Therefore, the correct answer is Option 2.

 

Correct Context: Improving educational outcomes is not just about infrastructure but also about addressing systemic issues such as teacher absenteeism, low salaries, and lack of continuous professional development.

 

Additional Information

• High tuition fees: This issue is not discussed in the passage.
• Curriculum changes: There is no mention of issues related to curriculum changes.
• Parental involvement: The passage does not discuss parental involvement as a systemic issue.
• School uniform policies: This issue is not mentioned in the passage.

The correct answer is Option 3.

 

Key Points

• The passage mentions several challenges facing Angola's education sector.
• These challenges include a shortage of textbooks, inadequate technological tools, and undertrained educators.
• Additionally, the passage points out that many rural children face long travel distances to attend school.
• However, the passage does not mention poor school attendance by students as a challenge.

Therefore, the correct answer is Option 3.

 

Correct Context: The passage discusses various specific issues that hinder the progress of Angola's education sector but does not mention poor school attendance by students.

 

Additional Information

• Shortage of textbooks: Mentioned as a challenge in the passage.
• Inadequate technological tools: Mentioned as a challenge in the passage.
• Undertrained educators: Mentioned as a challenge in the passage.
• Long travel distances for rural children: Mentioned as a challenge in the passage.

The correct answer is Option 4.

 

Key Points

• Statement A: The Angolan government has decreased funds towards education.
• This statement is incorrect as the passage indicates that the Angolan government has allocated increased funds towards education.
• Statement B: Many rural areas in Angola remain underserved in terms of educational facilities.
• This statement is correct as it accurately reflects the information in the passage.
• Statement C: Significant improvements in resource allocation and governance are needed for educational reforms to be successful.
• This statement is correct as it aligns with the assertions made in the passage about the need for better resource allocation and governance.

Therefore, the correct answer is: B and C.

The correct answer is Option 3.

 

Key Points

• Statement A: Chronic underfunding has led to insufficient medical equipment in hospitals and clinics.
• This statement is correct as it accurately reflects the information in the passage.
• Statement B: Preventive care and public health campaigns can reduce the incidence of disease.
• This statement is correct as it aligns with the assertions made in the passage.
• Statement C: Urban migration has alleviated the strain on healthcare resources.
• This statement is incorrect as the passage indicates that urban migration has actually put additional strain on healthcare resources.

Therefore, the correct answer is: Only C.

The correct answer is 'resilient'.

 

Key Points

• The word "resilient" means able to withstand or recover quickly from difficult conditions.
• In the context of healthcare, a resilient system is one that can effectively respond to challenges and maintain functionality.
• The other options: "profitable," "minimalist," "centralized," and "revolutionary" do not fit the context as appropriately.

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

Complete Sentence: Investing in healthcare education and training for medical professionals is crucial for building a resilient health system.

Additional Information

• Profitable: Means yielding profit or financial gain.
• Minimalist: Means characterized by simplicity and spareness.
• Centralized: Means concentrated under a single authority.
• Revolutionary: Means involving or causing a complete or dramatic change.

The correct answer is: Option 2 i.e., hinder.

Key Points

• The word "stall" means to stop or delay progress, often intentionally. (रोकना, बाधा डालना)
• Example: The negotiations stalled due to disagreements between the parties.
• "Hinder" refers to creating difficulties that result in a delay or obstruction of something. (बाधा डालना)
• Example: The heavy snowfall hindered the movement of vehicles on the highway.
• Hence, we can infer that the meaning of 'stall' is similar to 'hinder'.

Therefore, the correct answer is: hinder.

Additional Information

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

• Accelerate (त्वरित करना): To increase the speed of something.
• Example: The new policies aim to accelerate economic growth.
• Approve (मंजूर करना): To officially agree to or accept as satisfactory.
• Example: The board will approve the budget at the next meeting.
• Improve (सुधारना): To make or become better.
• Example: They are trying to improve the quality of education in rural areas.
• Manage (संचालित करना): To be in charge of, handle, or control.
• Example: She has been hired to manage the company’s operations.

The correct answer is: Option 3 i.e., bleak.

Key Points

• The word "grim" means very serious, gloomy, or depressing. (उदासीन, गंभीर)
• Example: The outlook for the economy is grim due to the ongoing recession.
• "Bleak" means lacking in warmth, life, or kindliness; not hopeful or encouraging. (निराशाजनक)
• Example: The landscape was bleak and barren after the wildfire.
• Hence, we can infer that the meaning of 'grim' is similar to 'bleak'.

Therefore, the correct answer is: bleak.

Additional Information

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

• Promising (आशाजनक): Showing signs of future success.
• Example: The team's performance in the first half was very promising.
• Hopeful (आशावादी): Feeling or inspiring optimism about a future event.
• Example: She felt hopeful about her chances of getting the job.
• Joyful (हर्षित): Feeling, expressing, or causing great pleasure and happiness.
• Example: The children were joyful when they heard about the school trip.
• Uplifting (उत्साहवर्धक): Morally or spiritually elevating; inspiring happiness or hope.
• Example: The speech was so uplifting that it motivated everyone to take action.

The correct answer is BAC.

Key Points

• Obvious: clear or evident
• Filtered: strained
• Horizon: the line where the sky seems to touch the land or sea

Important Points

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

• The word 'filtered' is appropriate for the first blank because sunlight passes through the Earth's atmosphere. Therefore, the correct choice is "filtered'.
• The word 'obvious' is appropriate for the second blank because the sunlight is visible when we see the sun in the sky. Hence, the correct choice is 'obvious'.
• The word 'horizon' is appropriate for the last blank because when the sun is visible in the horizon we can clearly see the daylight. Hence, the word 'horizon' is the correct choice.

 

The correct sentence will be: On Earth, sunlight is scattered and filtered through Earth's atmosphere, and is obvious as daylight when the Sun is above the horizon.

The correct answer is BCA.

Key Points

• Rising**:** increasing
• Phase**:** stage or period
• Led**:** guided

Important Points

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

• The word 'phase' is appropriate for the first blank because evolution is a process and it may have several phases. Hence, the correct choice is 'phase'.
• The past participle form of the verb('Verb³')should be chosen for the second blank because the subject is acted upon by the verb. Hence, the correct choice is 'led'.
• An adjective is required to qualify the noun 'adoption'. Hence, the word 'rising', which is an adjective, is the correct choice.

The correct sentence will be: The next phase of retail evolution in India will be led by the rising adoption of digital platforms by consumers.

The correct answer is ACB.

Key Points

• Delivery: the supply of something or the process of delivering goods or parcels
• Increased: grew or enlarged

Important Points

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

• The word 'turning' is appropriate for the first blank. The auxiliary verb ('are') is used before the first blank. Hence, the present continuous tense should be used. Therefore, the correct choice is 'turning'.
• A word is required for the second blank to qualify the noun 'efficiency'. Therefore, the word 'increased' is appropriate for the second blank.
• The word 'delivery' is appropriate for the last blank because the words 'delivery schedules' are contextually meaningful.

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The correct sentence will be: Power utilities and energy companies are turning to public power trading on account of better prices and increased efficiency in delivery schedules.

The correct answer is 'C-Q and A-P.'

Key Points

• From the given options, only the combination of phrases 'C-Q and A-P' creates correct sentences.
• Let's look at the sentences:
• 'C-Q' talks about a region that is relatively well off (धनी; समृद्ध; ख़ुशहाल) when compared with the rest of the developing (आर्थिक दृष्टि से विकास करता हुआ) world.
• 'In comparison' means ''when compared''. (के मुक़ाबले)
• 'A-P' says apart from the obligations (क़ानूनी बाध्यता या कर्तव्य-भावना, या वचनबद्घता) laid down (निर्धारित) in the Treaty (देशों के बीच औपचारिक संधि), the Council requires openness (स्पष्टोक्ति).
• 'Besides' means ''in addition to; apart from''. (के अतिरिक्त, के साथ; भी)
  

Hence, the correct answer is option 4.

The correct answer is: 'Option 2'.

Key Points

• The given phrase is: 'appear to be'
• The correct phrase should be 'appears to be' as the sentence is in 'Present Indefinite Tense'.
• According to the rule, a singular verb is used with a singular subject.
• The subject of the sentence 'Agni' is 'Singular' here. So, 'Singular verb' should be used instead of 'Plural'.
• Therefore, the correct answer is: 'appears to be'.

Correct sentence: Agni, the flagship indigenous artillery missile, appears to be governed even before its induction and deployment in the field.

Additional Information

• 'appeared to be' is not appropriate use here.
• 'appearing to be' is not appropriate use here.
• 'has appeared to be' is not appropriate use here.

The correct answer is 'Option 2'

Key Points

• The correct phrase is 'hanging out with friends.'
• The verb tense needs to match with "appreciates listening" and "playing" which are present participles.
• "Hanging out" is the present participle form of the phrasal verb.
• Hence, The correct answer is 'hanging out with friends.'

The correct sentence after phrase replacement would be: 'He appreciates listening to jazz music, playing basketball, and hanging out with friends on weekends.'

Additional Information

• Will hang out with friends: This is the future tense and does not match the present participle tense used for "appreciates listening" and "playing".
• Hang out with friends: which means to spend time socializing informally.
• Hangs out with friends: This is the simple present tense which suggests a habitual action, but it sounds awkward following "appreciates.

The correct answer is advantageously.

Key Points

The passage refers to a generation of men who are able to get what they want. Therefore, advantageously is the only apt choice while other options are out of context.

Thus, the word advantageously is the most appropriate word for blank A out of the given options which perfectly fits in the context of the sentence 

The meaning of the word that perfectly fits in the context of the sentence is:

Advantageously: In a way that is giving advantages or helping to make you more successful. It is an adverb.

Additional Information

Let us look at the meaning of the other words:

 

The correct answer is ​disposition.

Key Points

The word for blank B should be 'disposition' as "instead of" is mentioned before the blank which gives us the clue that the word which will fit appropriately in blank B should be antonym or near antonym of 'chaos'. Thus the word disposition is the most suitable word for blank B which perfectly fits in the context of the sentence.

The meaning of the word that perfectly fits in the context of the sentence is:

Disposition: the way in which something is placed or arranged; order. It is a noun.

Additional Information

Let us look at the meaning of the other words:

 

The correct answer is ​incompetence.

Key Points

The word incompetence is the most suitable word for blank C out of the given options. Here we are talking about a government that persists stubbornly and obstinately in its ineffectiveness. Therefore the word incompetence aptly fits in the context of the sentence.

The meaning of the word that perfectly fits in the context of the sentence is:

Incompetence: inability to do something successfully; ineptitude. It is a noun.

Additional Information

Let us look at the meaning of the other words:

 

The correct answer is ​ingenious.

Key Points

The sentence with blank D implies that the governments with their persistent incompetence have taken one of the most original and inventive nations on earth to abysmal depths. So the only word that describes the nations of the earth with a positive connotation is 'ingenious' and hence fits in the context of the sentence appropriately.

The meaning of the word that perfectly fits in the context of the sentence is: 

Ingenious: clever, original, and inventive. It is an adjective.

Additional Information

Let us look at the meaning of the other words:

 

The correct answer is ​heritage.

Key Points

For the sentence with the blank E, 'ancestry' and 'heredity' don't fit in as they suggest individuals, not a nation. Here the word heritage is the most suitable word for blank E out of the given options as 'spirituality' is not merely a background but something that we have had for a long time which is suggested by the word heritage.

The meaning of the word that perfectly fits in the context of the sentence is:

Heritage: property that is or may be inherited; an inheritance. It is a noun.

Additional Information

Let us look at the meaning of the other words:

 

The correct answer is ​tenet.

Key Points

The sentence with the blank F mentions the law of Karma which is one of the principles of ancient Indian culture. Therefore the word tenet is the most suitable word for blank F which perfectly fits in the context of the sentence. 

The meaning of the word that perfectly fits in the context of the sentence is:

Tenet: a principle or belief, especially one of the main principles of a religion or philosophy. It is a noun.

Additional Information

Let us look at the meaning of the other words:

 

The correct answer is "Option 3".

Key Points

• The erroneous part is the use of "was".
• The phrase "a number of people" functions as a plural subject because it refers to multiple individuals.
• The subject "a number of people" is plural, so the verb should also be plural to agree with it.
• So, the structure of sentence is: A number of + Plural Noun + Plural Verb
• ​Example: A number of students are waiting here.
• Hence, "were" should be used instead of "was".

Therefore, the correct answer is "Option 3".

Correct Sentence: "I don't know about them but I have seen that a number of people were present in the recent rallies in Uttar Pradesh."

Additional Information

• Rule for using "the number of", and "the variety of":
• We use the following sentence structure
• "The number of + plural noun + Singular verb"
• Example: The number of students is fifty.

The correct answer is Option 4.

 

Key Points

• The error lies in part D, where the sentence uses "than anyone".
• When a person is compared with all the other members of the same group, "than anyone else" is more appropriate.
• The word "else" makes it clear that Sheila is being compared with the other students, not with herself.
• Therefore, "than anyone" should be replaced with "than anyone else."

Therefore, the correct answer is D.

 

Correct Sentence: "Sheila was always the best student in the class, often scoring higher marks than anyone else."

 

Additional Information

• A: "Sheila was always" – This part is grammatically correct and does not require any changes.
• B: "the best student in the class" – This part is grammatically correct. The superlative "best" is appropriately used for comparison within the class.
• C: "often scoring higher marks" – This part is grammatically correct. The participial phrase appropriately describes Sheila's performance.
• E: "No error" – This is incorrect because part D contains an error. The correct expression is "than anyone else."

The correct answer is 'Option 2 (B)'.

 

Key Points

• The error is in part B, where the phrase "have been falling" is used.
• The subject "the marketing team" is a singular collective noun and takes the singular auxiliary verb "has" in standard exam-oriented English.
• Therefore, "has been falling" is the correct form instead of "have been falling."
• Options 1, 3, and 4 do not contain any grammatical error.

Therefore, the correct answer is Option 2.

 

Complete Sentence: "The marketing team has been falling further away from its goals since its internal shuffle of posts."

 

Additional Information

• Option 1 (A): "The marketing team" is grammatically correct and functions as the singular subject of the sentence.
• Option 2 (B): "have been falling" is incorrect because the singular subject "the marketing team" requires "has been falling."
• Option 3 (C): "further away from its goals" is grammatically and contextually appropriate.
• Option 4 (D): "since its internal shuffle of posts" is grammatically acceptable and correctly indicates the point in time from which the situation has continued.

The correct answer is "Option 1".

Key Points

• The erroneous part is the use of the past form of the verb "chose".
• The given sentence is in the present tense and "we" is the subject of the sentence.
• The sentence suggests a general truth or ongoing action but the use of the past form of the verb "chose" is incorrect.
• Hence, the erroneous part of the sentence is the use of "chose".

Therefore, the correct answer is "Option 1".

Correct Sentence: "We choose our objects and our places of memory, or, rather, the spirit of the times decides what is worth remembering."

Additional Information

• The verb "choose" means to select or decide on something from two or more possibilities.
• The simple past form of "choose" is "chose" and the past participle form is "chosen".

The correct answer is 'Option 4'.

Key Points

• The part 4 of the given sentence is incorrect.
• Here, 'to' will be used instead of 'than'.
• As a general rule, "After prefer/preferable, we use a 'to-infinitive', not an infinitive without to when we compare two things or actions"
• Let's have a look at the example of the given rule:
• I prefer tea to coffee.
• Hence from the above explanation, it is clear that part 4 is the erroneous part.

Therefore, the correct answer is 'than conventional sources of energy' i.e., This is the erroneous part.

Correct sentence: Global warming is making threatening changes in our world, and we should prefer green energy to conventional sources of energy

 Additional Information

• Option 1 is correct and error-free.
• Option 2 is correct and error-free.
• Option 3 is correct and error-free
• The same rule is followed for the word 'Marry'.
• Example- She is married to Victor.

The correct answer is 'Option 1'.

Key Points

• The error lies in part 'A' of the sentence because 'told to' is used instead of 'told'.
• The sentence expresses that Mukesh told Sunaina that he would not buy the new car.
• The structure of the sentence is:
• Subject + past simple + object + complement.
• Hence, 'told' must be used instead of 'told to' to make the sentence correct.

Therefore, the correct answer is 'Mukesh told to Sunaina' i.e. this is the erroneous part.

Correct sentence: 'Mukesh told Sunaina that he would not buy the new car and wait till the next few months so that he would have more options.

The correct answer is 'D-B.'

Key Points

• The given sentence talks about a demanding boss who expects their workers to function or work at top levels, though that doesn't happen often when the boss themselves isn’t present to make certain that the state or quality is efficient.
• Let us explore the meaning of the highlighted words:
• Demanding - Always wanting attention or expecting very high standards of people. (दूसरों से सदा ध्यान अथवा उच्च स्तर की अपेक्षा रखने वाला)
• Efficiency - The state or quality of being efficient. (कार्यकुशलता, दक्षता, क्षमता)
• Rarely - Not often; seldom. (विरले ही)
• Perform - To do a piece of work or something that you have been ordered to do. (कोई काम आदि करना जिसके लिए आदेश है)
• Thus, (D) and (B) must be interchanged.
  

Hence, the correct answer is option 4.

Correct Sentence: A demanding boss expects their workers to perform at top levels, though this very rarely happens when the boss themselves isn’t present to ensure efficiency.

The correct answer is 'A-D.'

Key Points

• The given sentence talks about a doubtful woman who wanted to get a psychological reading even though she didn’t accept that people could see the future.
• Let us explore the meaning of the highlighted words:
• Skeptical - Not easily convinced; having doubts or reservations. (संशयी, संशयवादी)
• Psychic - Relating to the soul or mind. (मनस्‍तत्‍व)
• Believe - To feel sure that something is true or that somebody is telling the truth. (विश्‍वास करना, सही मान लेना)
• Future - The time that will come after the present. (वर्तमान के बाद का समय; भविष्‍य)
• Thus, (A) and (D) must be interchanged.
  

Hence, the correct answer is option 3.

Correct Sentence: The skeptical woman wanted to get a psychic reading even though she didn’t believe that people could see the future.

The correct answer is Option(1) i.e. 'B-C'.

Key Points

• The word placed at (B), "Gratuitous", is an adjective which means uncalled for; lacking good reason; unwarranted. (अनावश्यक)
• Example: There is too much gratuitous violence on television.
• The word placed at (C), "Indulged", is a verb which means to allow oneself to enjoy the pleasure of something. (लिप्त होना)
• Example: We indulged in some hot fudge sundaes after dinner.
• In the given sentence, the subject pronoun "he" must be followed by a verb to indicate an action, but "gratuitous" is an adjective.
• By swapping (B) and (C), "Indulged" correctly acts as the verb ("he indulged in..."), and "gratuitous" correctly acts as the adjective modifying the noun phrase "self-glorification".
• Thus, the correct sentence is: "Despite coming in at third place, he indulged in some gratuitous self-glorification, to the dismay of all his friends."

Therefore, the correct answer is- B-C.

Additional Information

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

• Despite (के बावजूद): Without being affected by; in spite of.
• Example: He remains cheerful despite his illness.
• Dismay (निराशा): Consternation and distress, typically that caused by something unexpected.
• Example: To his dismay, he realized he had lost his wallet.

The correct answer is 'constantly, preferable.'

Key Points

• The given sentence is talking about why nurses wear flat shoes.
• ​Let us explore the words in the given options:
• 'Constantly' means continuously over a period of time; always.
• 'Preferable' means more desirable or suitable.

<br>

Conclusion: The nurses find flat shoes suitable for their heels because their job is such that they have to stand continuously over a period of time.

Hence, the correct answer is option 2.

Complete Sentence: Since nurses are constantly on their feet, they find flat shoes preferable to heels.

Additional Information

• The meaning of other options:
• 'Associate' means to make a connection between people or things in your mind.
• 'Intermittent' means stopping for a short time and then starting again several times.
• 'Concern' means to affect or involve somebody or something.
• 'Routine' means the usual order and way in which you regularly do things.
• 'Never' means at no time; not ever.
• 'Consistent' means always having the same opinions, standards, behavior, etc; not changing.
• 'Sporadically' means occasionally or at irregular intervals.
• 'Repeatedly' means over and over again; constantly.

The correct answer is 'horticulture, cultivate.'

Key Points

• The given sentence is talking about Harish joining some class that can help him in gardening.
• ​Let us explore the words in the given options:
• 'Horticulture' is the study or practice of growing flowers, fruit, and vegetables.
• 'Cultivate' means to prepare and use the land for growing plants for food or to sell.

<br>

Conclusion: Harish is learning horticulture to use his garden for growing flowers, plants, fruit, vegetables, etc.

Hence, the correct answer is option 4.

Complete Sentence: Harish enrolled in a class that teaches horticulture so that he can cultivate his garden.

Additional Information

• The meaning of other options:
• 'Adhocracy' is a system of flexible and informal organization and management in place of rigid bureaucracy.
• 'Abandon' means to leave somebody or something that you are responsible for, usually permanently.
• 'Hierarchy' is a system or organization that has many levels from the lowest to the highest.
• 'Dump' means to get rid of something that you do not want, especially in a place that is not suitable.
• 'Destruct' means the deliberate causing of terminal damage.
• 'Patronize' means to treat somebody in a way that shows that you think you are better, more intelligent, experienced, etc. than someone.
• 'Hurt' means to cause somebody or yourself physical pain or injury.
• 'Contend' means to have to deal with a problem or a difficult situation.

The correct answer is 'evidence, verify.'

Key Points

• The given sentence is talking about the police investigating the killer's moto.
• ​Let us explore the words in the given options:
• 'Evidence' means the facts, signs, etc. that make you believe that something is true.
• 'Verify' means to check or state that something is true.

<br>

Conclusion: Until founding the facts of the murder, the police cannot say anything about the motive behind the murder.

Hence, the correct answer is option 3.

Complete Sentence: Until more evidence is found, the police cannot verify the killer’s motive.

Additional Information

• The meaning of other options:
• 'Contradict' means to say that something is wrong or not true; to say the opposite of something.
• 'Conjecture' means to guess about something without real proof or evidence.
• 'Disclaim' means to say that you do not have something.
• 'Illustrate' means to explain or make something clear by using examples, pictures or diagrams.
• 'Challenge' means to invite somebody to fight, play, argue, etc. against you.
• 'Exhibit' means to show clearly that you have a particular quality, feeling, etc.
• 'Profess' means to say that something is true or correct, even when it is not.
• 'Witty' means clever and amusing; using words in a clever way.

General Solution:

Let’s define the following sets:

• Only C (Coffee) = A
• Only M (Milk) = B
• Only T (Tea) = C
• C ∩ M only (not T) = D
• C ∩ T only (not M) = E
• M ∩ T only (not C) = F
• C ∩ M ∩ T (all three) = G

We are given:

1. Only Tea (C) = 10
   

⇒ C = 10 2. All three (G) = 16 3. Only Coffee (A) = 20% more than only Tea

⇒ A = 10 + 20% of 10 = 10 + 2 = 12 4. Only Milk (B) = C ∩ T only (not M) = E

⇒ B = E 5. M ∩ T only (F) = Half of C ∩ M only (D)

⇒ F = ½ × D

And D = 24

⇒ F = 12

So far we have:

• A = 12
• B = E (unknown)
• C = 10
• D = 24
• E = B
• F = 12
• G = 16

Now, total number of people = 100

Sum of all individual segments of the Venn diagram =

A + B + C + D + E + F + G

= 12 + B + 10 + 24 + B + 12 + 16

= (12 + 10 + 24 + 12 + 16) + 2B = 74 + 2B

Set that equal to total surveyed:

74 + 2B = 100

⇒ 2B = 26

⇒ B = 13

Then E = 13

Thus,

 

Calculations:

Only one = 12 + 13 + 10 = 35 people → ₹15 × 35 = ₹525

Exactly two = 24 + 13 + 12 = 49 people → ₹25 × 49 = ₹1225

All three = 16 people → ₹35 × 16 = ₹560

Total = 525 + 1225 + 560 = ₹2310

Hence, the correct answer is ₹2310.

General Solution:

Let’s define the following sets:

• Only C (Coffee) = A
• Only M (Milk) = B
• Only T (Tea) = C
• C ∩ M only (not T) = D
• C ∩ T only (not M) = E
• M ∩ T only (not C) = F
• C ∩ M ∩ T (all three) = G

We are given:

1. Only Tea (C) = 10
   

⇒ C = 10 2. All three (G) = 16 3. Only Coffee (A) = 20% more than only Tea

⇒ A = 10 + 20% of 10 = 10 + 2 = 12 4. Only Milk (B) = C ∩ T only (not M) = E

⇒ B = E 5. M ∩ T only (F) = Half of C ∩ M only (D)

⇒ F = ½ × D

And D = 24

⇒ F = 12

So far we have:

• A = 12
• B = E (unknown)
• C = 10
• D = 24
• E = B
• F = 12
• G = 16

Now, total number of people = 100

Sum of all individual segments of the Venn diagram =

A + B + C + D + E + F + G

= 12 + B + 10 + 24 + B + 12 + 16

= (12 + 10 + 24 + 12 + 16) + 2B = 74 + 2B

Set that equal to total surveyed:

74 + 2B = 100

⇒ 2B = 26

⇒ B = 13

Then E = 13

Thus,

 

Calculations:

People who like Tea =

Only Tea = 10

Tea & Coffee only = 13

Tea & Milk only = 12

All three = 16

Total = 10 + 13 + 12 + 16 = 51

Percentage = (51 / 100) × 100 = 51%

Hence, the correct answer is 51%.

General Solution:

Let’s define the following sets:

• Only C (Coffee) = A
• Only M (Milk) = B
• Only T (Tea) = C
• C ∩ M only (not T) = D
• C ∩ T only (not M) = E
• M ∩ T only (not C) = F
• C ∩ M ∩ T (all three) = G

We are given:

1. Only Tea (C) = 10
   

⇒ C = 10 2. All three (G) = 16 3. Only Coffee (A) = 20% more than only Tea

⇒ A = 10 + 20% of 10 = 10 + 2 = 12 4. Only Milk (B) = C ∩ T only (not M) = E

⇒ B = E 5. M ∩ T only (F) = Half of C ∩ M only (D)

⇒ F = ½ × D

And D = 24

⇒ F = 12

So far we have:

• A = 12
• B = E (unknown)
• C = 10
• D = 24
• E = B
• F = 12
• G = 16

Now, total number of people = 100

Sum of all individual segments of the Venn diagram =

A + B + C + D + E + F + G

= 12 + B + 10 + 24 + B + 12 + 16

= (12 + 10 + 24 + 12 + 16) + 2B = 74 + 2B

Set that equal to total surveyed:

74 + 2B = 100

⇒ 2B = 26

⇒ B = 13

Then E = 13

Thus,

 

Calculations:

Total respondents = 100

We are to find how many people like at most two beverages, i.e., not all three.

From the previous data:

People who like all three beverages = 16

So, people who like at most two beverages = 100 – 16 = 84

Required % = (84 / 100) × 100 = 84%

Hence, the correct answer is 84%.

General Solution:

Let’s define the following sets:

• Only C (Coffee) = A
• Only M (Milk) = B
• Only T (Tea) = C
• C ∩ M only (not T) = D
• C ∩ T only (not M) = E
• M ∩ T only (not C) = F
• C ∩ M ∩ T (all three) = G

We are given:

1. Only Tea (C) = 10
   

⇒ C = 10 2. All three (G) = 16 3. Only Coffee (A) = 20% more than only Tea

⇒ A = 10 + 20% of 10 = 10 + 2 = 12 4. Only Milk (B) = C ∩ T only (not M) = E

⇒ B = E 5. M ∩ T only (F) = Half of C ∩ M only (D)

⇒ F = ½ × D

And D = 24

⇒ F = 12

So far we have:

• A = 12
• B = E (unknown)
• C = 10
• D = 24
• E = B
• F = 12
• G = 16

Now, total number of people = 100

Sum of all individual segments of the Venn diagram =

A + B + C + D + E + F + G

= 12 + B + 10 + 24 + B + 12 + 16

= (12 + 10 + 24 + 12 + 16) + 2B = 74 + 2B

Set that equal to total surveyed:

74 + 2B = 100

⇒ 2B = 26

⇒ B = 13

Then E = 13

Thus,

 

Calculations:

We are given:

People who like only Coffee = 12

People who like only Milk = 13

People who like both Milk and Tea but not Coffee = 12

So,

Required Ratio = (Only Coffee + Only Milk) : (Milk ∩ Tea only)

= (12 + 13) : 12

= 25 : 12

Hence, the correct answer is 25:12.

General Solution:

Let’s define the following sets:

• Only C (Coffee) = A
• Only M (Milk) = B
• Only T (Tea) = C
• C ∩ M only (not T) = D
• C ∩ T only (not M) = E
• M ∩ T only (not C) = F
• C ∩ M ∩ T (all three) = G

We are given:

1. Only Tea (C) = 10
   

⇒ C = 10 2. All three (G) = 16 3. Only Coffee (A) = 20% more than only Tea

⇒ A = 10 + 20% of 10 = 10 + 2 = 12 4. Only Milk (B) = C ∩ T only (not M) = E

⇒ B = E 5. M ∩ T only (F) = Half of C ∩ M only (D)

⇒ F = ½ × D

And D = 24

⇒ F = 12

So far we have:

• A = 12
• B = E (unknown)
• C = 10
• D = 24
• E = B
• F = 12
• G = 16

Now, total number of people = 100

Sum of all individual segments of the Venn diagram =

A + B + C + D + E + F + G

= 12 + B + 10 + 24 + B + 12 + 16

= (12 + 10 + 24 + 12 + 16) + 2B = 74 + 2B

Set that equal to total surveyed:

74 + 2B = 100

⇒ 2B = 26

⇒ B = 13

Then E = 13

Thus,

 

Calculations:

Exactly two beverages = 24 (C∩M) + 13 (C∩T) + 12 (M∩T) = 49

Only one beverage = 12 (C) + 13 (M) + 10 (T) = 35

Difference = 49 – 35 = 14

Hence, the correct answer is 14.

Shortcut Trick

12% of Salary = ₹7,200

⇒ 1% of Salary = 7200 ÷ 12 = ₹600

Total expenditure (Education + Groceries) = 60% of Salary

⇒ 12% + x% = 60%

⇒ x% = 60% − 12% = 48%

∴ The correct answer is 48%.

Alternate Method

Given:

Education Expenditure = 12% of Salary = ₹7,200

Total Expenditure = 60% of Salary

Formula:

Total Expenditure = Education % + Groceries %

Calculations:

⇒ Let Total Salary be S.

⇒ (12/100) × S = 7200

⇒ S = (7200 × 100) ÷ 12

⇒ S = 600 × 100 = ₹60,000

⇒ Total Expenditure = 60% of 60,000 = 36,000

⇒ Groceries Expenditure = Total − Education

⇒ Groceries Expenditure = 36,000 − 7,200 = ₹28,800

⇒ x = (28,800 ÷ 60,000) × 100

⇒ x = 288 ÷ 6 = 48

∴ The correct answer is 48%.

Additional Information

Percentage Change

Percentage change = (Change / Original Value) × 100. Useful for finding growth in salary or expenses.

Savings Calculation

Savings = Total Salary − Total Expenditure. In this case, savings would be 40% of the salary.

Base Change Rule

When multiple percentages are calculated on the same base (Total Salary), they can be added or subtracted directly.

Shortcut Trick

For two people A and B, combined time = (Product of times) ÷ (Sum of times).

2t = (5 × 5t) ÷ (5 + 5t)

2 = 25 ÷ (5 + 5t) ⇒ 10 + 10t = 25 ⇒ 10t = 15 ⇒ t = 1.5

Combined time = 2t = 2 × 1.5 = 3 days.

∴ The correct answer is 3 days.

Alternate Method

Given:

Time taken by A = 5 days

Time taken by B = 5t days

Time taken by A + B = 2t days

Formula Used:

1/T_total = 1/T_A + 1/T_B

Calculations:

⇒ 1/(2t) = 1/5 + 1/(5t)

⇒ 1/(2t) − 1/(5t) = 1/5

⇒ (5 − 2) / (10t) = 1/5

⇒ 3 / (10t) = 1/5

⇒ 10t = 15

⇒ t = 1.5

⇒ Time taken by A and B together = 2t = 2 × 1.5

⇒ Time taken = 3 days

∴ The correct answer is 3 days.

Additional Information

Efficiency and Time Relation

Efficiency is inversely proportional to the time taken to complete a work. Efficiency = Total Work ÷ Time.

Pipes and Cisterns

The same logic applies where filling pipes have positive efficiency and leakage/outlet pipes have negative efficiency.

Shortcut Trick

Ratio of Final Milk to Initial Milk after 2 operations = (√0.9604) = 0.98

Remaining fraction = (Total − Replaced) ÷ Total ⇒ 0.98 = (80 − x) ÷ 80

x = 80 × (1 − 0.98) = 80 × 0.02 = 1.6 litres

∴ The correct answer is 1.6 litres.

Alternate Method

Given: Initial quantity (C) = 80 litres, Number of operations (n) = 2, Final concentration = 96.04%.

Formula Used: Final Quantity = Initial Quantity × [1 − (x/C)]ⁿ

⇒ 0.9604 × 80 = 80 × [1 − (x/80)]²

⇒ 0.9604 = [1 − (x/80)]²

⇒ √0.9604 = 1 − (x/80)

⇒ 0.98 = 1 − (x/80)

⇒ x/80 = 1 − 0.98

⇒ x/80 = 0.02

⇒ x = 80 × 0.02 = 1.6 litres

∴ The correct answer is 1.6 litres.

Additional Information

Successive Replacement Formula

For n repeated operations of removing x units and replacing with water: Final Milk = Initial Milk × (1 − x/Total)ⁿ.

Alligation Rule

Used when two mixtures are mixed; for successive dilutions, the geometric ratio method (Shortcut Trick) is faster.

Percentage to Decimal

Always convert percentage concentrations to decimals for easy square root calculation: 96.04% = 0.9604.

Common Calculation –

According the question,

[ 8% + 12% + (2P + 5) % + P% + 15 %] = 100%

So, 2P + 5 + P = 100 – 15 – 12 – 8 = 65

Or, 3P = 60

Or, P = 60/3 = 20

So, Percentage distribution of number of items manufactured in factories A, B, C, D and E is 8%, 12%, [2 × 20 + 5] =45%, 20% and 15% respectively.

So, Item manufactured in factory A is 1200 × 8 /100 = 96

Similarly, we can calculate the number of items manufactured by others factory also, which is given in the table.

 

Calculation

Factory C = 540

→ 20% defective = 20% of 540 = 108

Factory D = 240

→ defective items = 25% less than 108

 ⇒ 108 – 25% of 108 = 108 – 27 = 81

Factory B = 144 → defective items = (2/9) of (108 + 81) = (1/4) of 189 = 42

Non-defective in:

C = 540 – 108 = 432

D = 240 – 81 = 159

B = 144 – 42 = 102

Total non- defective is = 432 + 159 + 102 = 693

Common Calculation –

According the question,

[ 8% + 12% + (2P + 5) % + P% + 15 %] = 100%

So, 2P + 5 + P = 100 – 15 – 12 – 8 = 65

Or, 3P = 60

Or, P = 60/3 = 20

So, Percentage distribution of number of items manufactured in factories A, B, C, D and E is 8%, 12%, [2 × 20 + 5] =45%, 20% and 15% respectively.

So, Item manufactured in factory A is 1200 × 8 /100 = 96

Similarly, we can calculate the number of items manufactured by others factory also, which is given in the table.

 

Calculation

Total in A and E = A + E = 96 + 180 = 276

Total in B and D = B + D = 144 + 240 = 384

Ratio = 276 : 384 =23 : 32

Common Calculation –

According the question,

[ 8% + 12% + (2P + 5) % + P% + 15 %] = 100%

So, 2P + 5 + P = 100 – 15 – 12 – 8 = 65

Or, 3P = 60

Or, P = 60/3 = 20

So, Percentage distribution of number of items manufactured in factories A, B, C, D and E is 8%, 12%, [2 × 20 + 5] =45%, 20% and 15% respectively.

So, Item manufactured in factory A is 1200 × 8 /100 = 96

Similarly, we can calculate the number of items manufactured by others factory also, which is given in the table.

 

Calculation

Initial items

A = 96

D = 240

Transfer from D to A

25% of D = 25% of 240 = 60

New A = 96 + 60 = 156

Premium items in A = [20 + 5] % = 25% of 156 = 39 = P + 19

Common Calculation –

According the question,

[ 8% + 12% + (2P + 5) % + P% + 15 %] = 100%

So, 2P + 5 + P = 100 – 15 – 12 – 8 = 65

Or, 3P = 60

Or, P = 60/3 = 20

So, Percentage distribution of number of items manufactured in factories A, B, C, D and E is 8%, 12%, [2 × 20 + 5] =45%, 20% and 15% respectively.

So, Item manufactured in factory A is 1200 × 8 /100 = 96

Similarly, we can calculate the number of items manufactured by others factory also, which is given in the table.

 

Calculation

Factory C

Items = 540

Defect = 20% → 0.20 × 540 = 108

Non-defective = 432

Profit = 432 × 8 =  3456

Factory D

Items = 240

Defect = 12.5% → [1/8] × 240 = 30

Non-defective = 210

Profit = 210 × 20 =  4200

Factory E

Items = 180

Defect = 20% → [1/5] × 180 = 36

Non-defective = 180 – 36 = 144

Profit = 144 × 25 =  3600

Total profit = 3456 + 4200 + 3600 =11256

Common Calculation –

According the question,

[ 8% + 12% + (2P + 5) % + P% + 15 %] = 100%

So, 2P + 5 + P = 100 – 15 – 12 – 8 = 65

Or, 3P = 60

Or, P = 60/3 = 20

So, Percentage distribution of number of items manufactured in factories A, B, C, D and E is 8%, 12%, [2 × 20 + 5] =45%, 20% and 15% respectively.

So, Item manufactured in factory A is 1200 × 8 /100 = 96

Similarly, we can calculate the number of items manufactured by others factory also, which is given in the table.

 

Calculation

10% of C = 10% of 540 = 54

11.11% of E = (1/9) × 180 = 20

Total defective = 54 + 20 = 74 items

I. 6x² – 72x + 216 = 0

⇒ 6x² – 36x – 36x + 216 = 0

⇒ 6x(x – 6) – 36(x – 6) = 0

⇒ (x – 6)(6x – 36) = 0

⇒ x = 6

II. y² – 18y + 81 = 0

⇒ y² – 9y – 9y + 81 = 0

⇒ y(y – 9) – 9(y – 9) = 0

⇒ (y – 9)(y – 9) = 0

⇒ y = 9

∴ x < y.

Calculation:

I. 3x2 + 16x + 13 = 0

⇒ 3x2 + 3x + 13x + 13 = 0

⇒ 3x(x +1) + 13(x +1) = 0

⇒ x = - 13/3 or x = - 1

II. y2 + 9y – 36 = 0

⇒ y2 + 12y – 3y – 36 = 0

⇒ y(y + 12) – 3(y + 12) = 0

⇒ y = - 12 or y = 3

Comparison between x and y (via Tabulation):

∴ Relation between x and y can't be established

Given:

I. x² – 14x + 33 = 0

II. y² – 20y + 99 = 0

Calculation:

I. x² – 14x + 33 = 0

⇒ x² – 11x – 3x + 33 = 0

⇒ x(x – 11) – 3(x – 11) = 0

⇒ (x – 11)(x – 3) = 0

Then, x = 11 or x = 3

Now,

II. y² – 20y + 99 = 0

⇒ y² – 11y – 9y + 99 = 0

⇒ y(y – 11) – 9(y – 11) = 0

⇒ (y – 11)(y – 9) = 0

Then, y = 11 or y = 9

Now,

Comparison between x and y (via Tabulation):

∴ We can clearly see that the relationship cannot be established

Shortcut Trick

Initial CP for Suman = Rs. 100.

SP of Suman (to Rachna) = 100 × 1.10 = Rs. 110. (Profit = Rs. 10)

SP of Rachna (to Deepti) = 110 × 1.20 = Rs. 132.

SP of Deepti (to Suman) = 132 × (1 − 4/11) = 132 × 7/11 = Rs. 84. (Since 36.36% = 4/11)

Suman sold for Rs. 110 and bought back for Rs. 84, saving Rs. 26.

∴ The correct answer is Rs. 26.

Alternate Method

Given: Initial CP = Rs. 100, Profit₁ = 10%, Profit₂ = 20%, Loss₃ = 36.36%.

Formulas: Profit = SP − CP | SP = CP × (100 + P%)/100 | 36.36% = 4/11.

⇒ Profit 1 (Suman to Rachna): 10% of 100 = Rs. 10.

⇒ SP for Rachna = 100 + 10 = Rs. 110.

⇒ SP for Deepti = 110 + 20% of 110 = 110 + 22 = Rs. 132.

⇒ Loss for Deepti = 36.36% of 132 = (4/11) × 132 = 4 × 12 = Rs. 48.

⇒ Price at which Suman buys back = 132 − 48 = Rs. 84.

⇒ Total Profit of Suman = (Initial SP − Buyback Price) + Profit 1 = (110 − 84) + 0 = Rs. 26. (Alternative view: Suman started with 100, ended with the earpiece + Rs. 26 cash; since earpiece value is relative, we consider the cash differential from the transaction cycles).

∴ The correct answer is Rs. 26.

Additional Information

Percentage to Fraction Conversion

It is useful to remember that 9.09% = 1/11, hence 36.36% = 4/11. This simplifies calculations involving decimals.

Net Profit in Buyback

When a person sells an item and buys it back later, the net profit is the difference between the selling price and the re-acquisition price plus any profit made in the first sale.

Shortcut Trick

Total age 19 years ago = 86 − (19 × 2) = 48 years.

Ratio of Father : Son (19 years ago) = 5 : 1.

Total units = 6 → 48 years ⇒ 1 unit = 8 years.

Son's age 19 years ago = 8 years ⇒ Present age = 8 + 19 = 27 years.

Wife's age = 27 − 6 = 21 years.

Ratio (Son : Wife) = 27 : 21 = 9 : 7.

∴ The correct answer is 9 : 7.

Alternate Method

Let the age of the son 19 years ago be x and the father's age be 5x.

⇒ Present age of son = x + 19

⇒ Present age of father = 5x + 19

⇒ (x + 19) + (5x + 19) = 86

⇒ 6x + 38 = 86

⇒ 6x = 48 ⇒ x = 8

⇒ Present age of Son = 8 + 19 = 27 years

⇒ Age of Wife = 27 − 6 = 21 years

⇒ Required Ratio = 27 : 21 = 9 : 7

∴ The correct answer is 9 : 7.

Additional Information

Age Sum Property

If the sum of ages of 'n' persons is S, then 't' years ago the sum was S − (n × t).

Ratio & Proportion

Ratio is the simplest form of comparison between two quantities of the same unit. Always simplify ratios by dividing by the HCF.

Constant Age Difference

The difference between the ages of two individuals remains constant regardless of the number of years passed.

Shortcut Trick

Sphere Surface Area 4πr² = 2464 ⇒ r² = 196 ⇒ r = 14 m ⇒ Diameter = 28 m.

Cone Height = 28 − 4 = 24 m; Radius = 7 m ⇒ Slant height (l) = √(24² + 7²) = 25 m.

CSA of Cone = πrl = (22/7) × 7 × 25 = 550 m².

Total Cost = 550 × 12 = Rs. 6600.

∴ The correct answer is Rs. 6600.

Alternate Method

Given: Surface Area of Sphere = 2464 m², Cone Radius (r_c) = 7 m, Cone Height (h_c) = Sphere Diameter − 4.

Formula Used: Surface Area of Sphere = 4πr²; Curved Surface Area (CSA) of Cone = πrl; Slant height l = √(r² + h²).

Step 1: Find Sphere Diameter

⇒ 4 × (22/7) × r² = 2464

⇒ r² = (2464 × 7) ÷ 88 = 28 × 7 = 196

⇒ Radius of sphere (r) = 14 m ∴ Diameter (D) = 28 m.

Step 2: Find Cone Dimensions

⇒ Height of cone (h_c) = 28 − 4 = 24 m.

⇒ Slant height (l) = √(7² + 24²) = √(49 + 576) = √625 = 25 m.

Step 3: Calculate Cost

⇒ CSA of cone = (22/7) × 7 × 25 = 550 m².

⇒ Cost of painting = 550 × 12 = Rs. 6600.

∴ The correct answer is Rs. 6600.

Additional Information

Volume of Sphere and Cone

Volume of sphere = (4/3)πr³ and Volume of right circular cone = (1/3)πr²h.

Total Surface Area of Cone

TSA of a cone includes the base area: TSA = πrl + πr² = πr(l + r).

Pythagorean Triplets

Frequent triplets like (7, 24, 25) help in finding the slant height (l) quickly without square root calculations.

Shortcut Trick

Since the Principal (P) and Time (T) are same, the difference in Amount is equal to the difference in Simple Interest.

Difference in Rate % for 2 years = (9% − 6%) × 2 = 6%

According to the question, 6% of P = ₹2166

P = (2166 ÷ 6) × 100 = 361 × 100 = ₹36100

∴ The correct answer is ₹36100.

Alternate Method

Given: Principal = ₹P, Time = 2 years, Rate_Amit = 9%, Rate_Rahul = 6%, Difference in Amount = ₹2166.

Formula Used: Simple Interest (SI) = (P × R × T) ÷ 100; Amount = P + SI

⇒ Amount_Amit = P + (P × 9 × 2) ÷ 100 = P + 0.18P = 1.18P

⇒ Amount_Rahul = P + (P × 6 × 2) ÷ 100 = P + 0.12P = 1.12P

⇒ Difference = 1.18P − 1.12P = 0.06P

⇒ 0.06P = 2166

⇒ P = 2166 ÷ 0.06

⇒ P = 36100

∴ The correct answer is ₹36100.

Additional Information

Simple Interest Properties

Simple Interest is calculated only on the Principal amount. It remains constant for every year if the rate of interest is unchanged.

Difference between SI and CI

For the first year, Simple Interest and Compound Interest are the same. For 2 years, the difference is P(R/100)².

Effective Rate of Interest

In SI, the effective rate for 'T' years is simply (R × T)%. This helps in direct calculation of Interest or Amount.

Shortcut Trick

Initial average = 38, New average = 41.76, Increase = 3.76

Tournament average = 548 ÷ 7 ≈ 78.28

Using Alligation: (Initial matches) : (Tournament matches) = (78.28 − 41.76) : (41.76 − 38) = 36.52 : 3.76

Ratio = 3652 : 376 = 9.71 : 1 → Initial matches = 7 × 9.71 ≈ 68

Total matches = 68 + 7 = 75

∴ The correct answer is 75 matches.

Alternate Method

Let n be the number of matches before the tournament.

⇒ Total runs before = 38 × n

⇒ Total runs after = 38n + 548

⇒ Total matches played = n + 7

⇒ New average = (38n + 548) ÷ (n + 7) = 41.76

⇒ 38n + 548 = 41.76n + 292.32

⇒ 41.76n − 38n = 548 − 292.32

⇒ 3.76n = 255.68

⇒ n = 255.68 ÷ 3.76 = 68

⇒ Total matches = 68 + 7 = 75

∴ The correct answer is 75 matches.

Additional Information

Batting Average Formula

Batting Average = (Total runs scored) ÷ (Total number of times the batsman got out/Total innings played).

Net Deviation Method

Total Change = (New Count × New Avg) − (Old Count × Old Avg). This is useful for finding the value of new entries.

Weighted Average

Avg_combined = (n₁A₁ + n₂A₂) ÷ (n₁ + n₂), where n is the quantity and A is the average.

Shortcut Trick

Equating Distance formula: D = [S₁ × S₂ / (S₁ − S₂)] × ΔT

[V × (V − 6) / 6] × (8 / 60) = [V × (V + 4) / 4] × (4.5 / 60)

⇒ (V − 6) / 6 × 8 = (V + 4) / 4 × 4.5 ⇒ 4(V − 6) / 3 = 1.125(V + 4)

⇒ V = 60 km/hr. Distance = [60 × 54 / 6] × (8 / 60) = 72 km.

∴ The correct answer is 72 km.

Alternate Method

Given: Case 1 speed = V − 6, Time = T + 8/60. Case 2 speed = V + 4, Time = T − 4.5/60.

Formula Used: Distance (D) = S₁ × S₂ × (Diff in Time) / (Diff in Speed)

⇒ D = [V(V − 6) / 6] × (8 / 60) --- (i)

⇒ D = [V(V + 4) / 4] × (4.5 / 60) --- (ii)

⇒ [V(V − 6) / 6] × 8 = [V(V + 4) / 4] × 4.5

⇒ 4 × (V − 6) / 3 = 1.125 × (V + 4) ⇒ 1.333(V − 6) = 1.125V + 4.5

⇒ 0.2083V = 12.5 ⇒ V = 60 km/hr

⇒ D = [60 × (60 − 6) / 6] × (8 / 60) = 540 × 8 / 60 = 72 km

∴ The correct answer is 72 km.

Additional Information

Constant Distance Formula

When a person travels at two different speeds S₁ and S₂ and the difference in time is ΔT, Distance D = (S₁ × S₂ / |S₁ − S₂|) × ΔT.

Average Speed

If the distance is constant, Average Speed = 2S₁S₂ / (S₁ + S₂). If time is constant, Average Speed = (S₁ + S₂) / 2.

Relative Speed

For two objects moving in the same direction, Relative Speed = |S₁ − S₂|. In opposite directions, Relative Speed = S₁ + S₂.

Common Calculation

Total number of employees in company A is 180.

Number of Graduate employees in Company A is 180 × 40/100 = 72

Number of Post graduate employees in company A is 180 – 72 = 108

Same way we can calculate other companies’ data, which is given in table.

 

Calculation

In Company B:

75% of graduates are males → 75% of 132 = 99

75% of postgraduates are females

→ So, males = 25% of 88 = 22

In Company C:

60% of graduates are females → 57.12% of 168 = 168 × [4/7]= 96

→ Male graduates = 168 – 96 = 72

50% of postgraduates are males → 50% of 72 = 36

Total male employees in B = 99 (graduates) + 22 (postgraduates) = 121

Total male employees in C = 72 (graduates) + 36 = 108

Final Answer: Total males in B + C = 121 + 108 = 229

Common Calculation

Total number of employees in company A is 180.

Number of Graduate employees in Company A is 180 × 40/100 = 72

Number of Post graduate employees in company A is 180 – 72 = 108

Same way we can calculate other companies’ data, which is given in table.

Calculation

Company D:

Total employees = 160

Male = Female ⇒ 80 males, 80 females

Postgraduates = 80

Males are 20 more than females

Let females = x

→ Males = x + 20

So, x + x + 20 = 80

⇒ 2x + 20 = 80

→ 2x = 60 ⇒ x = 30, males = 50

Now, graduate females = Total females – PG females

= 80 – 30 = 50

Final Answer: 50 female graduate employees

Common Calculation

Total number of employees in company A is 180.

Number of Graduate employees in Company A is 180 × 40/100 = 72

Number of Post graduate employees in company A is 180 – 72 = 108

Same way we can calculate other companies’ data, which is given in table.

Calculation

23 male graduates are transferred to A.

Total males in A = [72 × 50/100] + [75 × 108 /100]

= 36 + 81 = 117

New Male = 117 + 23 = 140

So, required percentage = [140 / (180 + 23) ] × 100 = 68.96 = 69%

Common Calculation

Total number of employees in company A is 180.

Number of Graduate employees in Company A is 180 × 40/100 = 72

Number of Post graduate employees in company A is 180 – 72 = 108

Same way we can calculate other companies’ data, which is given in table.

 

Calculation

Company A

Graduate employees = 72

Male : Female = 2 : 1

⇒ Total parts = 3

→ Males = (2/3) × 72 = 48

→ Females = 24

Postgraduates = 108

25% are unmarried females → (25% of 108) = 27

Company D

Graduates = 80

60% are married

→ Married = 0.6×80 = 48

→ So, unmarried graduates = 32

Postgraduates = 80

50% are females → 40 females

40% of these are married → Married females = 16

→ So, unmarried females = 40 – 16 = 24

Unmarried in A = 27 (postgraduate females)

Unmarried in D = 32 (graduates) + 24 (PG females) = 56

Final Answer: Total unmarried employees = 27 + 56 = 83

Common Calculation

Total number of employees in company A is 180.

Number of Graduate employees in Company A is 180 × 40/100 = 72

Number of Post graduate employees in company A is 180 – 72 = 108

Same way we can calculate other companies’ data, which is given in table.

 

Calculation

Total postgraduate employees in E = 30

20% of 30 = (20/100) × 30 = 6

Shortcut Trick

Ratio of Profit = Σ(Investment × Time)

Let initial investments be 300 and 500 units.

Samay profit share = (300 × 3) + (330 × 9) = 900 + 2970 = 3870 units.

Sagar profit share = (500 × 8) + (425 × 4) = 4000 + 1700 = 5700 units.

Ratio Samay : Sagar = 3870 : 5700 = 129 : 190.

Given 129 units = Rs. 12900 ⇒ 1 unit = Rs. 100.

Sagar share = 190 × 100 = Rs. 19000.

∴ The correct answer is Rs. 19000.

Alternate Method

Given → Initial Ratio = 3 : 5 | Samay increase = 10% | Sagar decrease = 15% | Samay Profit = Rs. 12900. Formulas: Profit Share = Investment × Time Period | Ratio of Profits = (I₁T₁ + I₂T₂) : (I₃T₃ + I₄T₄)

⇒ Let initial investment of Samay be 300 and Sagar be 500. ⇒ Samay investment for first 3 months = 300. ⇒ Samay investment for next 9 months = 300 + 10% of 300 = 330. ⇒ Sagar investment for first 8 months = 500. ⇒ Sagar investment for next 4 months = 500 − 15% of 500 = 425. ⇒ Total investment-months (Samay) = (300 × 3) + (330 × 9) = 3870. ⇒ Total investment-months (Sagar) = (500 × 8) + (425 × 4) = 5700. ⇒ Profit Ratio (Samay : Sagar) = 3870 : 5700 = 129 : 190. ⇒ 129 units = 12900 ⇒ 1 unit = 100. ⇒ Sagar Profit = 190 × 100 = 19000.

∴ The correct answer is Rs. 19000.

Additional Information

Partnership Profit Distribution

In a Compound Partnership, the profit is divided based on the product of the Capital and the Time for which the capital is invested.

Ratio Adjustment

When percentages are involved in ratios, it is easier to multiply the original ratio by 100 (e.g., 3:5 becomes 300:500) to avoid working with decimals during calculations.

Shortcut Trick

Ratio of Speed of Boat 1 (u₁) to Stream (v) = 9 : 5

Ratio of Boat 2 (u₂) to Boat 1 (u₁) = 4 : 3 ⇒ u₂ = (4/3) × 9 = 12 units

Downstream Speed (D₂) = u₂ + v = 12 + 5 = 17 units

Upstream Speed (U₂) = u₂ − v = 12 − 5 = 7 units

Time ratio is inverse of Speed ratio for same distance: T_down : T_up = 7 : 17

∴ The correct answer is 7 : 17.

Alternate Method

Given:

Ratio of Boat 1 (B₁) to Stream (S) = 9 : 5

Ratio of Boat 2 (B₂) to Boat 1 (B₁) = 4 : 3

Calculations:

⇒ Let Speed of B₁ = 9k and Speed of S = 5k

⇒ Speed of B₂ = (4/3) × 9k = 12k

⇒ Downstream Speed of B₂ = B₂ + S = 12k + 5k = 17k

⇒ Upstream Speed of B₂ = B₂ − S = 12k − 5k = 7k

⇒ Time ∝ 1/Speed (for constant distance)

⇒ Time ratio (Down : Up) = Upstream Speed : Downstream Speed

⇒ Time ratio = 7k : 17k = 7 : 17

∴ The correct answer is 7 : 17.

Additional Information

Downstream and Upstream Speed

Downstream Speed (D) = u + v and Upstream Speed (U) = u − v, where u is speed in still water and v is stream speed.

Time and Speed Relation

For a fixed distance, the ratio of time taken is inversely proportional to the ratio of speeds: T₁/T₂ = S₂/S₁.

Still Water Speed Calculation

Speed in still water (u) = (D + U) ÷ 2 and Speed of stream (v) = (D − U) ÷ 2.

Shortcut Trick

Probability of Anil hitting (P_A) = 6/7, Ben hitting (P_B) = 4/5, Carey hitting (P_C) = 3/4.

Probability of missing: P'_A = 1/7, P'_B = 1/5, P'_C = 1/4.

Required Probability = (P_A × P_B × P'_C) + (P_A × P'_B × P_C) + (P'_A × P_B × P_C)

⇒ (6/7 × 4/5 × 1/4) + (6/7 × 1/5 × 3/4) + (1/7 × 4/5 × 3/4) = (24 + 18 + 12) / 140 = 54 / 140 = 27 / 70.

∴ The correct answer is 27/70.

Alternate Method

Given:

Probability of hit by Anil (A) = 6/7; Not hit (A') = 1 − 6/7 = 1/7

Probability of hit by Ben (B) = 4/5; Not hit (B') = 1 − 4/5 = 1/5

Probability of hit by Carey (C) = 3/4; Not hit (C') = 1 − 3/4 = 1/4

Calculations:

⇒ Case 1 (A, B hit; C misses) = 6/7 × 4/5 × 1/4 = 24/140

⇒ Case 2 (A, C hit; B misses) = 6/7 × 1/5 × 3/4 = 18/140

⇒ Case 3 (B, C hit; A misses) = 1/7 × 4/5 × 3/4 = 12/140

⇒ Total Probability = (24/140) + (18/140) + (12/140)

⇒ Total Probability = 54/140 = 27/70

∴ The correct answer is 27/70.

Additional Information

Independent Events

For independent events A and B, the probability of both occurring is P(A ∩ B) = P(A) × P(B).

Complementary Probability

The probability of an event not occurring is P(A') = 1 − P(A).

Mutually Exclusive Cases

When multiple distinct scenarios satisfy a condition, their individual probabilities are added to find the total probability.

1. There are exactly three boxes between Box A and Box B. 

Here, we have 2 Cases, i.e., Case 1 and Case 2.

 

2. Two boxes are placed between Box C and Box D, where Box D is positioned immediately above Box B. 

Here, we have 3 Cases, i.e., Case 1, Case 2, and Case 2a.

 

3. Box E is placed immediately above Box A. 

 

4. There is exactly one box between Box H and Box I, and Box I is placed somewhere below Box H.

Now, we can eliminate Case 2a. (Because there is no place for H and I) but we have one subcase of Case 2 i.e., Case2(i).

 

5. Box F is positioned immediately above Box G.

Now, we can eliminate Case 2 and Case 2(i).

This is our final arrangement,

 

Hence, the correct answer is Box B.

1. There are exactly three boxes between Box A and Box B. 

Here, we have 2 Cases, i.e., Case 1 and Case 2.

 

2. Two boxes are placed between Box C and Box D, where Box D is positioned immediately above Box B. 

Here, we have 3 Cases, i.e., Case 1, Case 2, and Case 2a.

 

3. Box E is placed immediately above Box A. 

 

4. There is exactly one box between Box H and Box I, and Box I is placed somewhere below Box H.

Now, we can eliminate Case 2a. (Because there is no place for H and I) but we have one subcase of Case 2 i.e., Case2(i).

 

5. Box F is positioned immediately above Box G.

Now, we can eliminate Case 2 and Case 2(i).

This is our final arrangement,

 

Except for D - H, in all other pairs, two boxes are kept between them.

Hence, the correct answer is D - H.

1. There are exactly three boxes between Box A and Box B. 

Here, we have 2 Cases, i.e., Case 1 and Case 2.

 

2. Two boxes are placed between Box C and Box D, where Box D is positioned immediately above Box B. 

Here, we have 3 Cases, i.e., Case 1, Case 2, and Case 2a.

 

3. Box E is placed immediately above Box A. 

 

4. There is exactly one box between Box H and Box I, and Box I is placed somewhere below Box H.

Now, we can eliminate Case 2a. (Because there is no place for H and I) but we have one subcase of Case 2 i.e., Case2(i).

 

5. Box F is positioned immediately above Box G.

Now, we can eliminate Case 2 and Case 2(i).

This is our final arrangement,

 

Hence, the correct answer is I.

1. There are exactly three boxes between Box A and Box B. 

Here, we have 2 Cases, i.e., Case 1 and Case 2.

 

2. Two boxes are placed between Box C and Box D, where Box D is positioned immediately above Box B. 

Here, we have 3 Cases, i.e., Case 1, Case 2, and Case 2a.

 

3. Box E is placed immediately above Box A. 

 

4. There is exactly one box between Box H and Box I, and Box I is placed somewhere below Box H.

Now, we can eliminate Case 2a. (Because there is no place for H and I) but we have one subcase of Case 2 i.e., Case2(i).

 

5. Box F is positioned immediately above Box G.

Now, we can eliminate Case 2 and Case 2(i).

This is our final arrangement,

 

Hence, the correct answer is More than four.

1. There are exactly three boxes between Box A and Box B. 

Here, we have 2 Cases, i.e., Case 1 and Case 2.

 

2. Two boxes are placed between Box C and Box D, where Box D is positioned immediately above Box B. 

Here, we have 3 Cases, i.e., Case 1, Case 2, and Case 2a.

 

3. Box E is placed immediately above Box A. 

 

4. There is exactly one box between Box H and Box I, and Box I is placed somewhere below Box H.

Now, we can eliminate Case 2a. (Because there is no place for H and I) but we have one subcase of Case 2 i.e., Case2(i).

 

5. Box F is positioned immediately above Box G.

Now, we can eliminate Case 2 and Case 2(i).

This is our final arrangement,

 

Hence, the correct answer is Box A is two boxes above Box G.

1. V joined the job in an even-numbered year but not in 1962. 

Here, we have 3 Cases, i.e., Case 1, Case 2 and Case 3.

 

2. The experience of U is a multiple of 17 but not less than 50. 

Now, we can eliminate Case 2. 

 

3. T joined the job five years earlier than U. 

 

4. Three persons joined the job between the joining years of P and Q, where P joined before Q. 

Here, we have 3 Cases, i.e., Case 1, Case 3 and Case 3a.

 

5. Two persons joined the job between Q and W, and W did not join in the latest year. 

Now, we can eliminate Case 1 and Case 3a.

 

6. The experience of S is equal to the sum of the experiences of R and Q.

This is our final arrangement,

 

Hence, the correct answer is U have thrice the experience of V.