IPMAT 2025 Question Paper With Detailed PDF Solutions

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IPMAT 2025 Paper With Answers & Explanation

QA (SA)

Q. 1 Monica, who is 18 years old, is one-third the age of her father. The age at which she will be half the age of her father is _______

Correct Answer

36

Explanation

Q. 2 Five teams – A, B, C, D, and – each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists, geologists, and explorers. However, the number of members from each skill set varies by team and each member has only one speciality. The total number of biologists, geologists, and explorers are equal.

The following additional information is available.
● Every team has at least 2 members from each of the three skill sets.
● Teams C and D have 6 biologists each, and team A has 6 geologists.
● Every team except A has more biologists than explorers.
● The number of explorers in each team is distinct and decreases in the order A, B, C, D, and E.

The number of biologists in team E is _______.

Correct Answer

4

Explanation

Q. 3 If the polynomial ax2 + bx + 5 leaves a remainder 3 when divided by x – 1, and a remainder 2 when divided by x + 1, then 2b – 4a equals _______.

Correct Answer

11

Explanation

Q. 4 If a, b, c are three distinct natural numbers, all less than 100, such that |a – b| + |b – c| = |c – a|, then the maximum possible value of b is _______.

Correct Answer

98

Explanation

Q. 5 English exam and Math exam were conducted separately for a class of 120 students. The number of students who did not appear for the English exam is twice the number of students who did not appear for the Math exam. The number of students who passed the Math exam is twice the number of students who appeared but failed the English exam. If the number of students who passed the English exam is twice the number of students who appeared but failed the Math exam, then the number of students who appeared but failed the English exam is_________

Correct Answer

40

Explanation

Q. 6 Five teams – A, B, C, D, and e – each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets:

biologists, geologists, and explorers. However, the number of members from each skill set varies by team and each member has only one speciality. The total number of biologists, geologists, and explorers are equal.

The following additional information is available.
● Every team has at least 2 members from each of the three skill sets.
● Teams C and D have 6 biologists each, and Team A has 6 geologists.
● Every team except A has more biologists than explorers.
● The number of explorers in each team is distinct and decreases in the order A, B, C, D, and E.

The median number of biologists across five teams is _______.

Correct Answer

6

Explanation

Q. 7 Eight teams take part in a tournament where each team plays against every other team exactly once. In a particular year, one team got suspended after playing 3 matches, due to a disciplinary issue. The organizers decide to proceed, nonetheless, with the remaining matches. The total number of matches that were played in the tournament that year is _____

Correct Answer

24

Explanation

Q. 8 If log3(x2 – 1), log3 (2x2 + 1) and log3(6x2 + 3) are the first three terms of an arithmetic progression, then the sum of the next three terms of the progression is ______.

Correct Answer

15

Explanation

Q. 9 If m and n are two positive integers such that 7m + 11n = 200, then the minimum possible value of m + n is _________

Correct Answer

20

Explanation

Q. 10 Arpita and Nikita, working together, can complete an assigned job in 12 days. If Arpita works initially to complete 40% of the job, and the remaining job is completed by Nikita alone, then it takes 24 days to complete the job. The minimum possible number of days that Nikita requires to complete the entire job, working alone, is _________

Correct Answer

20

Explanation

Q. 11 Five teams – A, B, C, D, and – each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists, geologists, and explorers. However, the number of members from each skill set varies by team and each member has only one speciality. The total number of biologists, geologists, and explorers are equal.

The following additional information is available.
● Every team has at least 2 members from each of the three skill sets.
● Teams C and D have 6 biologists each, and Team A has 6 geologists.
● Every team except A has more biologists than explorers.
● The number of explorers in each team is distinct and decreases in the order A, B, C, D, and E.

The number of teams having more geologists than biologists is _______.

Correct Answer

2

Explanation

Q. 12 A circle of radius 13 cm touches the adjacent sides AB and BC of a square ABCD at M and N, respectively. If AB = 18 cm and the circle intersects the other two sides CD and DA at P and Q, respectively, then the area, in sq. cm, of triangle PMD is __________

Correct Answer

153

Explanation

Q. 13

Correct Answer

147

Explanation

Q. 14

Correct Answer

12

Explanation

Q. 15 The number of factors of 35 × 58 × 72 that are perfect squares is ______

Correct Answer

30

Explanation

QA (MCQ)

Q. 16

Correct Answer

4

Explanation

Q. 17 A and B take part in a rifle shooting match. The probability of A hitting the target is 0.4, while the probability of B hitting the target is 0.6. If A has the first shot, post which both strike alternately, then the probability that A hits the target before B hits it is.

Correct Answer

3

Explanation

Q. 18

Correct Answer

1

Explanation

Q. 19 If 8x2 – 2kx + k = 0 is a quadratic equation in x, such that one of its roots is p times the other, and p, k are positive real numbers, then k equals ______.

Correct Answer

1

Explanation

Q. 20 Two swimmers, Ankit and Bipul, start swimming from the opposite ends of a swimming pool at the same time. Ankit can cover the length of the pool once in 10 minutes. Bipul can cover the length of the pool once in 15 minutes. They swim back and forth for 80 minutes without stopping. The number of times they meet each other is _____

Correct Answer

3

Explanation

Q. 21 Consider a triangle with side lengths 4 meters, 6 meters, and 9 meters. A dog runs around the triangle in such a way that the shortest distance of the dog from the triangle is exactly 1 meter. The total distance covered (in meters) by the dog in one round is

Correct Answer

2

Explanation

Q. 22

Correct Answer

4

Explanation

Q. 23

Correct Answer

1

Explanation

Q. 24 Suppose a, b and c are three real numbers such that Max (a, b, c) + Min (a, b, c) = 15, and Median (a, b, c) – Mean (a, b, c) = 2. Then the median of a, b and c is

Correct Answer

3

Explanation

Q. 25 The sum of the first 5 terms of a geometric progression is the same as the sum of the first 7 terms of the same progression. If the sum of the first 9 terms is 24, then the 4th term of the progression is

Correct Answer

4

Explanation

Q. 26 Anindita invests a total of 1 lakh rupees distributed across three schemes A, B and C for a period of two years. These schemes offer an interest rate of 10%, 8% and 12% per annum, respectively, each compounded annually. If the initial investment amount in scheme A is 30000 rupees and the total interest earned from all the three schemes during the first year is 10600 rupees, then the total interest earned, in rupees, from all the three schemes for the second year is _________.

Correct Answer

3

Explanation

Q. 27 The number of integers greater than 5000 and divisible by 5 that can be formed with the digits 1, 3, 5, 7, 8, 9 where no digit is repeated is

Correct Answer

3

Explanation

Q. 28 A circle touches the y-axis at (0, 4) and passes through the point (–2, 0). Then the radius of the circle is

Correct Answer

4

Explanation

Q. 29

Correct Answer

4

Explanation

Q. 30 If y = a + b loge x then which of the following is true?

Correct Answer

2

Explanation

Q. 31 The remainder when 111011 + 101111 is divided by 9 is

Correct Answer

2

Explanation

Q. 32

Correct Answer

1

Explanation

Q. 33

Correct Answer

4

Explanation

Q. 34 A natural number n lies between 100 and 400, and the sum of its digits is 10. The probability that n is divisible by 4, is ________.

Correct Answer

4

Explanation

Q. 35 Area of a regular octagon inscribed in a circle of radius 1 unit is

Correct Answer

3

Explanation

Q. 36 Let A(1, 3) and B(5, 1) be two points. If a line with slope m intersects AB at an angle of 45°, then the possible values of m are

Correct Answer

1

Explanation

Q. 37 Which of the following numbers is divisible by 310 + 2?

Correct Answer

4

Explanation

Q. 38 The area of the triangle, formed by the straight lines y = 0, 12x – 5y = 0, and 3x + 4y = 7, is ______

Correct Answer

1

Explanation

Q. 39 Let f(x) = a2x2 + 2bx + c where a ≠ 0, b, c are real numbers and x is a real variable then

Correct Answer

4

Explanation

Q. 40

Correct Answer

1

Explanation

Directions for question 41 to 45:
The table given below provides the details of monthly sales (in lakhs of rupees) and the value of products returned by the customers (as a percentage of sales) of an e-commerce company for three product categories for the year 2024. Net sales (in lakhs of rupees) is defined as the difference between sales (in lakhs of rupees) and the value of products returned (in lakhs of rupees).

Q. 41 Among the following four months, for which month the contribution of the Apparel category in the total monthly sales was the highest?

Correct Answer

2

Explanation

Q. 42 Among the following four months, for which month the value of the Footwear returned (in lakhs of rupees) was the highest?

Correct Answer

4

Explanation

Q. 43 Which month had highest percentage decline in monthly sales as compared to previous month for the Apparel category?

Correct Answer

3

Explanation

Q. 44 By what percentage the net sales for June increased as compared to May in the Footwear category?

Correct Answer

4

Explanation

Q. 45 For which categories the value of the products returned (as a percentage of sales) increased for three consecutive months?

Correct Answer

1

Explanation

For both Apparel and Footwear the value of products returned (as a percentage of sales) increased for three consecutive months i.e., January to March for Apparel and October to December for Footwear.

VARC

Directions for question 46 to 51: Read the following passage and choose the answer that is closest to each of the questions that are based on the passage.

Meta is recalibrating content on its social media platforms as the political tide has turned in Washington, with Mark Zuckerberg announcing last week that his company plans to fire its US fact-checkers. Fact-checking evolved in response to allegations of misinformation and is being watered down in response to accusations of censorship.

Social media does not have solutions to either. Community review — introduced by Elon Musk at X and planned by Zuckerberg for Facebook and Instagram — is not a significant improvement over fact-checking. Having Washington lean on foreign governments over content moderation does not benefit free speech. Yet, that is the nature of the social media beast, designed to amplify bias.

Information and misinformation continue to jostle on social media at the mercy of user discretion. Social media now has enough control over all other forms of media to broaden its reach. It is the connective tissue for mass consumption of entertainment, and alternative platforms are reworking their engagement with social media. Technologies are shaping up to drive this advantage further through synthetic content targeted precisely at its intended audience. Meta’s algorithm will now play up politics because it is the flavour of the season.

The Achilles’ Heel of social media is informed choice which could turn against misinformation. Its move away from content moderation is driven by the need to be more inclusive, yet unfiltered content can push users away from social media towards legacy forms that have better moderation systems in place. Lawmakers across the world are unlikely to give social media a free run, even if Donald Trump is working on their case. Protections have already been put in place across jurisdictions over misinformation. These may be difficult to dismantle, even if the Republicans pull US-owned social media companies further to the right.

Media consumption is, in essence, evidence-based judgement that mediums must adapt to. Content moderation, not free speech, is the adaptation mechanism. Musk and Zuckerberg are not exempt.

Q. 46 Social media has succeeded in

Correct Answer

4

Explanation

The passage suggests that social media has control over other forms of media due to its massive reach. It implies that social media now controls how other forms of media, like traditional outlets, interact and engage with the public.

Incorrect options:
1. becoming independent of other media: This is not true since social media relies on traditional media for content and validation.
2. ignoring technology and artificial content: The passage highlights that social media is deeply influenced by technology and synthetic content.
3. finding alternative means for fact-checking: Social media is moving away from traditional factchecking, not finding alternatives.

Q. 47 The writer argues that social media

Correct Answer

3

Explanation

The passage discusses how social media is now the “connective tissue” for mass consumption of entertainment, indicating its dominant role in entertainment access.

Incorrect options:
1. remains unaffected by global debates amongst lawmakers on misinformation: The passage does not suggest that social media is unaffected by these debates.
2. flourishes because it can publish any material: This is incorrect as the passage critiques the lack of content moderation, not the freedom to publish anything.
4. is in a difficult position because it cannot adapt to new policies: The passage does not focus on this specific struggle in social media.

Q. 48 The writer’s conclusion is that information available on social media is linked to

Correct Answer

3

Explanation

The writer connects the content and moderation of social media to the policies of governments, especially with regards to misinformation and content regulation.

Incorrect options:
1. the need for deregulation: The passage does not suggest deregulation is the solution.
2. the individual’s right to free speech: While free speech is mentioned, the focus is on government policies affecting social media.
4. the global legal systems’ support of free speech: The passage does not discuss global legal systems supporting free speech as a key point.

Q. 49 The writer implies that

Correct Answer

2

Explanation

The writer suggests that social media’s move towards unfiltered content could drive users back to legacy forms of media that have more reliable content moderation.

Incorrect options:
1. uncensored content will always have more appeal than controlled content: This is not implied; the passage discusses how unfiltered content may drive users away.
3. social media’s innate strength is the user’s inability to fact check: The passage critiques this aspect, not highlights it as a strength.
4. social media can never be discarded by its users: The passage does not claim that social media is indispensable.

Q. 50 Technologies are enabling social media to

Correct Answer

4

Explanation

The passage discusses how technologies are shaping social media to further amplify its reach and target specif ic audiences, hence enlarging its influence.

Incorrect options:
1. accept the current trends as emphasised by algorithms: The passage does not suggest acceptance of trends, but rather that algorithms shape and target content.
2. understand that algorithms cannot control its content: This is not a point made in the passage; it focuses on algorithms controlling content.
3. readjust its interaction with competitors: There’s no mention of social media readjusting its interaction with competitors, only its own influence.

Q. 51 The inherent downside associated with social media is that it

Correct Answer

1

Explanation

The passage mentions that social media amplifies bias, suggesting that it contributes to the spread of prejudice and misinformation.

Incorrect options:
2. does not address the problem of the digital divide: The digital divide is not discussed in the passage.
3. reinforces existing objectivity among the users: The passage argues that social media exacerbates bias rather than reinforcing objectivity.
4. results in unremitting expansion of freedom of expression: The passage critiques the unrestricted freedom of expression on social media, not celebrates it.

Directions for question 52 to 57: Read the following passage and choose the answer that is closest to each of the questions that are based on the passage.

According to the French philosopher Jean Baudrillard, commodities available for consumption are not inherently negative things. Baudrillard tried to interpret consumption in modern societies by engaging with the 'cargo myth' prevalent among the indigenous Melanesian people living in the South Pacific. The Melanesians did not know what aeroplanes were. However, they saw that these winged entities descended from the air for white people and appeared to make them happy. They also noted that aeroplanes never descended for the Melanesian people.

The Melanesian natives noted that the white people had placed objects similar to the aeroplane on the ground. They concluded that these objects were attracting the aeroplanes in the air and bringing them to the ground. Through a magical process, the aeroplanes were bringing plenty to the white people and making them happy. The Melanesian people concluded that they would need to place objects that simulated the aeroplane on the ground and attract them from the air. Baudrillard believes that the cargo myth holds an important analogy for the ways in which consumers engage with objects of consumption.

According to Baudrillard, the modern consumer "sets in place a whole array of sham objects, of characteristic signs of happiness, and then waits for happiness to alight". For instance, modern consumers believe that they will get happiness if they buy the latest available version of a mobile phone or automobile. However, consumption does not usually lead to happiness. While consumers should ideally be blaming their heightened expectations for their lack of happiness, they blame the commodity instead.

They feel that they should have waited for the next version of a mobile phone or automobile before buying the one they did. The version they bought is somehow inferior and therefore cannot make them happy. Baudrillard argues that consumers have replaced 'real' happiness with 'signs' of happiness. This results in the endless deferment of the arrival of total happiness.

In Baudrillard's words, "in everyday practice, the blessings of consumption are not experienced as resulting from work or from a production process; they are experienced as a miracle". Modern consumers view consumption in the same magical way as the Melanesian people viewed the aeroplanes in the cargo myth. Television commercials also present objects of consumption as miracles. As a result, commodities appear to be distanced from the social processes which lead to their production. In effect, objects of consumption are divorced from the reality which produces them.

Q. 52 What is Baudrillard's position on consumption?

Correct Answer

3

Explanation

Baudrillard argues that consumption is irrational because consumers chase “signs” of happiness rather than true fulfillment.

Incorrect options:
1. It is a utilitarian process: Baudrillard does not describe consumption as utilitarian.
2. It is an egalitarian process: Consumption is not described as equal or fair in Baudrillard’s analysis.
4. It is a positive process: Baudrillard critiques consumption rather than framing it as entirely positive.

Q. 53 How can consumption be made more satisfying?

Correct Answer

2

Explanation

Baudrillard suggests that consumers should recognize the relationship between production and consumption to understand the true value of commodities, rather than chasing “miracles.”

Incorrect options:
1. By rejecting colonialism and all other forms of economic oppression: This is not the solution that Baudrillard offers.
3. By recognising that commodities produce miraculous change: This is what Baudrillard critiques, not endorses.
4. By banning television commercials that promise real happiness: This is not mentioned as a solution in the passage.

Q. 54 How does Baudrillard engage with the cargo myth?

Correct Answer

3

Explanation

Baudrillard uses the cargo myth to explain how modern consumers chase false “miracles” of happiness through consumption, similar to how the Melanesians mistakenly believed they could attract aeroplanes.

Incorrect options:
1. He uses it to describe the suffering of Indigenous people: This is not Baudrillard’s focus.
2. He uses it to show that consumption is a blessing: He critiques this view, not supports it.
4. He uses it to show that consumers should consume more serious objects: Baudrillard does not suggest consuming “serious” objects as a solution.

Q. 55 Which of the following is an argument made by Baudrillard?

Correct Answer

1

Explanation

Baudrillard argues that consumers chase “signs” of happiness (such as the latest products) rather than true fulfillment.
Incorrect options:
2. Melanesian people coped with the inequality of colonialism by creating myths: This is not Baudrillard’s point.
3. Production and consumption are magical processes: Baudrillard critiques the magical thinking surrounding consumption but does not equate production and consumption to magic.
4. Television commercials are at the heart of unhappiness experienced by consumers: While they play a role, Baudrillard focuses more on the unrealistic expectations of consumers.

Q. 56 What is Baudrillard's position on total happiness?

Correct Answer

4

Explanation

Baudrillard argues that the pursuit of happiness through consumption is endless, as consumers constantly defer their satisfaction.
Incorrect options:
1. It comes with patience and waiting: This is not Baudrillard’s view, as he critiques the waiting game of consumerism.
2. It results from ethical consumption: Baudrillard does not suggest that ethical consumption leads to happiness.
3. It prioritises production over consumption: Baudrillard critiques consumption, not production.

Q. 57 Why are consumers unhappy with commodities that they have just bought?

Correct Answer

3

Explanation

Consumers are disappointed because they have unrealistic expectations of what commodities will provide, such as happiness.
Incorrect options:
1. Because they focus on improved functionality of commodities: This is not the reason given in the passage.
2. Because the Law of Diminishing Marginal Commodities comes into play: This is not discussed in the passage.
4. Because television commercials do not create enough hype about commodities: The issue is with consumer expectations, not the commercials themselves.

Directions for questions 58 to 64:
Complete the following sentences by choosing the most appropriate word/phrase from the options given below.

Q. 58 Deepak is an unpleasant person, but we all ____________ because his sister is a close friend of ours.

Correct Answer

3

Explanation

“Put up with” means to tolerate or endure something or someone unpleasant, which fits the context of Deepak’s unpleasant nature.
Incorrect options:
1. put along with him: This is incorrect; “put along with” is not a commonly used phrase in this context.
2. put him down: “Put him down” means to belittle or insult someone, which does not fit here.
4. put him aside: “Put him aside” means to disregard or ignore, which doesn’t fit the context of enduring someone’s behavior.

Q. 59 The labourers who were fired broke into the office building and destroyed some of the machinery. Rather than finding a solution to their problems, they ____________.

Correct Answer

1

Explanation

“Exacerbated” means to make a situation worse, which fits with the idea of the labourers making things worse by destroying machinery.

Incorrect options:
2. exaggerated their hardships: This would mean overstating their problems, not worsening the situation.
3. extenuated the circumstance: " Extenuated" means to make something seem less serious, which doesn't fit the context of causing more damage.
4. extended their troubles: "Extended" doesn't quite fit in this context, as it means to prolong rather than intensify the situation.

Q. 60 When she inherited some jewellery from a distant relative, she had no idea of its worth and decided ____________.

Correct Answer

2

Explanation

“To have it appraised” means to get the value of the jewellery assessed by a professional, which is the appropriate action in this context.

Incorrect options:
1.
to get an approval: This would imply seeking permission, which is not relevant to determining the worth of the jewellery.
3. to get it appreciated: “Appreciated” implies an emotional reaction, not an assessment of value.
4. to have it apprised: “Apprised” means to be informed, which doesn’t f it the context of evaluating the jewellery’s worth.

Q. 61 Everyone wondered how the travel vlogger could go around the world all through the year and ____________.

Correct Answer

2

Explanation

“Itinerant lifestyle” refers to a lifestyle involving travel, which fits perfectly with the idea of the travel vlogger constantly moving around.

Incorrect options:
1. manage his iterative lifestyle: “Iterative” refers to repeating something, which is not related to travel.
3. manage his itinerary in his lifestyle: This is incorrect because “itinerary” refers to a planned schedule, not a way of life.
4. manage his itinerary lifestyle: This is grammatically incorrect and awkwardly phrased.

Q. 62 There are so many instances of one or more deer crossing the road, or just standing in the middle of the road, or else ____________; it is like the deer cannot hear the noise of the engines or see the headlights.

Correct Answer

4

Explanation

“ Bounding across” means jumping or leaping energetically, which fits with the context of the deer moving across the road.

Incorrect options:
1. foraging beneath the road: “Foraging” refers to searching for food, which is unrelated to crossing the road.
2. staggering with the road: “Staggering” refers to unsteady movement, which does not fit the description of the deer crossing the road.
3. jumping under the road: The phrase “under the road” is incorrect, as the deer are on the road, not under it.

Q. 63 We hope that the government’s new policies will ____________ a period of economic growth.

Correct Answer

2

Explanation

“Usher in” means to bring about or initiate something, which fits with the hope of the government’s policies leading to economic growth.

Incorrect options:
1. turn up: This means to appear unexpectedly and does not fit the context of initiating growth.
3. set in: This implies something has begun, but “usher in” is a more appropriate phrase for starting something significant like economic growth.
4. set forth: This is typically used for presenting ideas or plans, not for initiating a period of growth.

Q. 64 Without a doubt, the widespread use of renewable energy is a key solution to climate change. However, it is not a ____________, as efforts in conservation are equally crucial.

Correct Answer

1

Explanation

“Silver bullet” refers to a simple solution to a complex problem, which is not the case here since conservation is also necessary.

Incorrect options:
2.
silver lining: “Silver lining” refers to a positive aspect of a negative situation, which doesn’t fit this context.
3. red herring: A “red herring” is something meant to distract or mislead, which doesn’t apply here.
4. dead ringer: A “dead ringer” refers to an exact match, which is unrelated to the context of climate change.

Directions for questions 65 to 69:
In each of the following sentences, the incorrect part of the sentence is underlined.

Choose an alternative from the four given options so that the sentence is rendered correct.

Q. 65 Thank goodness, the damage to the car was neglectful.

Correct Answer

3

Explanation

“Negligible” means very small or unimportant, which fits the context of minimal damage to the car.
Incorrect options:
1. was negligent: This means the person was careless, which doesn’t fit the context of the car damage.
2. was neglecting: This is a verb form and doesn’t fit the sentence structure.
4. was neglectable: “Neglectable” is not a common word and is not appropriate in this context.

Q. 66 If the President knew that his allies would let him down so suddenly, he would have handled them with the greatest care.

Correct Answer

3

Explanation

This is an example of the third conditional, which correctly uses “Had the President known” to indicate an unreal past condition.

Incorrect options:
1. If the President knew that his allies can let him down: “Can” is incorrect because it should refer to a past possibility.
2. Had the President knowledge that his allies would let him down: “Knowledge” is an awkward noun form here; “known” is the correct verb form.
4. If the President could know beforehand that his allies would let him down: “Could know” is not the correct conditional form for past speculation.

Q. 67 Although the new policy aims to increase efficiency, reducing costs, and enhancing employee satisfaction, some employees feel that the changes are too abrupt and poorly communicated.

Correct Answer

2

Explanation

The correct sentence uses parallelism, ensuring that the verbs “increase,” “reduce,” and “enhance” are all in the same form.

Incorrect options:
1. increase eff iciency, reducing the costs and enhanced employee satisfaction: This is not parallel and incorrectly mixes verb forms.
3. increasing efficiency, reducing of costs, and enhancing of employee satisfaction: “Reducing of” and “enhancing of” are incorrect forms.
4. increase the efficiency, reduce the costs and enhancing employee satisfaction: “Enhancing” is not parallel to the other verbs.

Q. 68 When I had to leave town due to office work, I had my brother to give food to my dog twice a day.

Correct Answer

2

Explanation

“Had my brother feed” is the correct causative construction, indicating that the speaker arranged for their brother to feed the dog.

Incorrect options:
1. had my brother to feed my dog: The infinitive “to feed” is incorrect in this context.
3. had my brother giving food to my dog: This is grammatically incorrect, as it doesn’t fit the causative structure.
4. had my brother who fed my dog: This is incorrect because it introduces an unnecessary relative clause.

Q. 69 Among scientists, the discovery of the double helix structure of DNA and the genetic code it incorporates is widely regarded to be one of the most significant scientific discovery of the twentieth century.

Correct Answer

3

Explanation

The phrase “regarded as” is correct to describe the discovery, and “discoveries” should be plural to match the plural subject “ one of the most significant discoveries.”

Incorrect options:
1. regarded for being one of the most significant scientific discoveries: “For being” is incorrect in this context.
2. regarded being one of the most significant scientific discoveries: This is grammatically incorrect.
4. regarded like one of the most significant scientific discovery: “Like” is incorrect here; “as” should be used.

Directions for questions 70 to 73:
Each of the paragraphs given below has a sentence missing which is indicated by a blank. From the choices given below each paragraph, choose the sentence that is most logically appropriate to complete the paragraph.

Q. 70 A report published in Lancet Diabetes and Endocrinology has called for an overhaul of our understanding of obesity. An over-reliance on using Body Mass Index [BMI] as a metric has the peculiar effect of leading to both underdiagnosis and overdiagnosis of the condition. _______. BMI does not give accurate information about how fat is distributed in an individual’s body. It frequently fails to capture the true state of health of an individual. A person’s BMI may indicate they are “obese”, but their organs and bodily functions may be absolutely normal. Every individual is a unique constellation — not only of genes and other biological variables, but also socio-economic conditions and habits.

Correct Answer

1

Explanation

This option logically follows from the idea that BMI is an unreliable measure and does not capture accurate health information.

Incorrect options:
2. Obesity is the end result of multiple factors and BMI can pinpoint the cause of the problem: This is incorrect, as BMI is not reliable for identifying the cause.
3. BMI reading can help the doctor to accurately prescribe the appropriate dosage to reduce fat: This is not supported by the passage.
4. Further, much of the information on diabetes, obesity or BMI available on social media is misleading: This does not align with the central argument of the passage.

Q. 71 As globalization held sway over the world, communities, which used to live in relative isolation, sought access to the wider world, and in the process, they parted with their own language and adopted a new lingua franca. The loss of language, however, does not merely mean the loss of a mode of communication or the loss of a few thousand words. ____________. So, when a language dies, a way of thinking dies with it.

Correct Answer

1

Explanation

This option logically supports the argument that language loss is more profound than just losing words; it involves losing a cultural worldview.
Incorrect options:
2. A potentially endangered language can sometimes appear to be thriving, or on the other hand, it can show signs of declining: This is irrelevant to the point being made.
3. Since evolution and change in languages is a part of history, most of the languages spoken today would be scarcely recognizable from what they were a few thousand or maybe even a few hundred years ago: This is a separate idea that doesn’t directly connect to the argument about language loss.
4. A certain school of thought regrets the demise of local languages but in recent times revival movements have emerged across the world, especially in India: This is unrelated to the main argument of the passage.

Q. 72 An island in Japan boasts of numerous dairy farms that own nearly one million cows, and supplies 70% of the milk sold in the country. These dairy farms have now begun to use cow manure to produce hydrogen. The methane from cow manure mingles with steam in a high temperature environment to produce hydrogen, which is used to electrify the local zoo.___________.

Correct Answer

3

Explanation

This option highlights the innovative and sustainable use of cow manure for hydrogen production, fitting well with the context of the passage.

Incorrect options:
1. This shows how Japan has always used technology to help animals: This is too narrow and not the focus of the passage.
2. The Indian government too, should replicate this, and use such technology to produce hydrogen: This is irrelevant to the main focus on Japan’s technology.
4. It is a case study of a certain animal that is useful in providing energy for several other animals: This is not the focus; the main point is the technology, not the use of animals.

Q. 73 On the first day of January 2025, the Indian Meteorological Department [IMD] announced that 2024 was the hottest year on record. A study by the Council on Energy, Environment and Water shows that nearly eight out of ten Indians live in districts that are at risk of either a flood, a cyclone, or a drought. Nearly twenty three States in India are heatwave-prone._________. In the summer of 2024, India recorded more than 44,000 cases of heatstroke and over 300 heat-related mortalities, as per the bulletin of the Ministry of Health and Family Welfare. Water reservoirs and the energy demand that keeps India powered are impacted too. During a ten-day long heatwave in Delhi, peak power demand was 16% higher than the previous year.

Correct Answer

3

Explanation

This option ties into the passage’s focus on the challenges posed by increasing heat and its negative impact on health and the economy.

Incorrect options:
1. However, the people of these districts are given sufficient compensation for loss of life and property: This is not mentioned in the passage.
2. According to the Council, more than 20% of the population is not affected by climate change: This contradicts the data given in the passage.
4. The record-breaking heat of the summer of 2024 resulted in an unpredictable and delayed monsoon: This is not mentioned and does not fit with the passage’s focus.

Directions for questions 74 to 79:
Some of the sentences below have words that are missing. Choose the best option from those given below to complete them.

Q. 74 Psychologists urge users to remember that social media rarely reflects the full complexity of real life. Influencers often ____________ a carefully curated online persona, which can ____________ unrealistic standards and occasionally ____________ negative self-comparisons amongst their followers.

Correct Answer

4

Explanation

“Maintain” fits with the idea of influencers keeping a consistent persona, “generate” works with the creation of unrealistic standards, and “trigger” fits with negative comparisons.

Incorrect options:
1.
endorse; foster; provoke: “Endorse” is incorrect in this context; “foster” is too mild.
2. advocate; perpetuate; stimulate: “Advocate” doesn’t fit the idea of presenting a curated persona.
3. profess; inspire; release: These verbs do not align as well with the meaning in the sentence.

Q. 75 Astronauts who stayed for an ____________ period of time at the International Space Station displayed a remarkable level of ____________ endurance and mental ____________.

Correct Answer

1

Explanation

“Extended” fits with a long period of time, “physical” matches the context of endurance, and “resilience” is the correct term for mental strength.

Incorrect options:
2. extensive; dysfunctional; agility: “Dysfunctional” and “agility” do not fit in this context.
3. expanded; stern; acuity: “Stern” and “acuity” are incorrect for describing mental endurance.
4. explicit; stoic; integrity: “Stoic” is not appropriate for mental endurance, and “integrity” does not fit the context.

Q. 76 Art can be ____________ because it encourages individuals to express their emotions through a creative outlet, allowing them to process complex feelings, reduce stress, and ____________ selfawareness.

Correct Answer

3

Explanation

“Therapeutic” is the correct term for something that heals or provides emotional relief, and “enhance” fits with increasing self-awareness.

Incorrect options:
1. pleasing; decrease: “Pleasing” doesn’t fit with the idea of healing, and “decrease” contradicts the idea of improving self-awareness.
2. acceptable; disturb: “Disturb” is the opposite of what art aims to achieve.
4. avoidable; mitigate: “Avoidable” doesn’t fit with the concept of art as a therapeutic process.

Q. 77 The notion of personhood is ____________ on something more than a particular type of genetic material within human beings: it arises only with the larger-scale structural ____________ of that material, which permits capacities like ____________, thought and moral agency.

Correct Answer

3

Explanation

“Premised” fits with the idea of personhood being based on more than genetic material, “organisation” relates to the structure of genetic material, and “consciousness” fits with the development of thought and moral agency.

Incorrect options:
1. interdependent; division; differentiation: These terms don’t fit the context of personhood.
2. dependent; disorganisation; deconstruction: These are incorrect in this context.
4. built; distribution; calibration: “Built” is not appropriate for this philosophical discussion.

Q. 78 While Curcumin, which is an ____________ found in turmeric helps to reduce ____________, extremely high doses of it can ____________ headache and nausea.

Correct Answer

1

Explanation

“Ingredient” fits with curcumin being a component of turmeric, “inflammation” fits as a condition curcumin helps with, and “induce” means to cause negative effects when taken in excess.

Incorrect options:
2. alkali; infection; promote: “Alkali” and “infection” do not fit the context.
3. enzyme; abrasion; infuse: “ Enzyme” and “abrasion” are not relevant here.
4. alchemy; injury; cause: “Alchemy” and “injury” are incorrect terms for this context.

Q. 79 Since chronic stress can ____________ the immune system, making individuals more susceptible to illness and ____________ their overall well-being, healthcare practitioners often recommend mindfulness practices and proper sleep to ____________ these negative effects.

Correct Answer

3

Explanation

“Compromise” fits with weakening the immune system, “impair” fits with damaging overall well-being, and “counter” fits with mitigating the negative effects of stress.

Incorrect options:
1. endanger; preserve; decrease: “Preserve” and “decrease” are incorrect here; they don’t fit the context of managing stress.
2. undermine; elevate; impede: “Elevate” doesn’t fit the context of improving well-being.
4. paralyse; improve; diminish: “Paralyse” is too extreme for this context.

Directions for questions 80 to 85: Read the following transcript and choose the answer that is closest to each of the questions that are based on the transcript.

Lucia Rahilly (Global Editorial Director, The McKinsey Podcast): Today we’re talking about the next big arenas of competition, about the industries that will matter most in the global business landscape, which you describe as arenas of competition. What do we mean when we use this term?

Chris Bradley (Director, McKinsey Global Institute): If I go back and look at the top ten companies in 2005, they were in traditional industries such as oil and gas, retail, industrials, and pharmaceuticals. The average company was worth about $250 billion. If I advance the clock forward to 2020, nine in ten of those companies have been replaced, and by companies that are eight times bigger than the old guards.

And this new batch of companies comes from these new arenas or competitive sectors. In fact, they’re so different that we have a nickname for them. If you’re a fan of Harry Potter, it’s wizards versus muggles.

Arena industries are wizard-ish; we found that there’s a set of industries that play by very different set of economic rules and get very different results, while the rest, the muggles (even though they run the world, finance the world, and energize the world), play by a more traditional set of economic rules.

Lucia Rahilly: Could we put a finer point on what is novel or different about the lens that you applied to determine what’s a wizard and what’s a muggle?

Chris Bradley: Wizards are defined by growth and dynamism. We looked at where value is flowing and the places where value is moving.

And where is the value flowing? What we see is that this set of wizards, which represent about ten percent of industries, hog 45 percent of the growth in market cap. But there’s another dimension or axis too, which is dynamism. That is measured by a new metric we’ve come up with called the “shuffle rate.” How much does the bottom move to the top? It turns out that in this set of wizard-ish industries, or arenas, the shuffle rate is much higher than it is in the traditional industry.

Lucia Rahilly: So, where are we seeing the most profit?

Chris Bradley: The economic profit, which is the profit you make minus the cost for the capital you employ is in the wizard industries. It’s where R&D happens; they’re two times more R&D intensive. They’re big stars, the nebulae, where new business is born.

Q. 80 In the context of the conversation, "dynamism" most closely refers to

Correct Answer

2

Explanation

“Dynamism” refers to the constant change and movement within an industry, especially in terms of leadership and market positions.

Incorrect options:
1. the never-changing reliance on established and unchanging business practices: This is the opposite of “dynamism.”
3. the slow, gradual growth and morphing of established companies: “Dynamism” refers to rapid change, not slow growth.
4. the stability and predictability of traditional industries: This contradicts the idea of dynamism.

Q. 81 Which one of the following does "shuffle rate" not measure?

Correct Answer

2

Explanation

The “shuffle rate” measures the volatility and movement within industries, particularly the changes in market leadership, not the overall profitability of traditional industries.

Incorrect options:
1.
Churn within the arena of competition: This is related to the “ shuffle rate,” which tracks changes within industries.
3. Volatility of market leadership: The “shuffle rate” measures how much market leadership changes, aligning with this option.
4. Relative change within an industry: The “shuffle rate” measures this by indicating how much movement occurs in industry positions.

Q. 82 In the context of the conversation, the term "arenas of competition" refers to

Correct Answer

1

Explanation

The “arenas of competition” refers to categories or sectors where businesses compete, such as “wizard” and “muggle” industries.

Incorrect options:
2.
physical locations where businesses compete: This does not match the meaning of “arenas of competition” in this context.
3. government regulations that control business competition: The term does not refer to regulations.
4. specific companies that are considered to be powerful competitors: “Arenas of competition” is about sectors, not specific companies.

Q. 83 Which of the following best and correctly summarizes the main idea of the conversation?

Correct Answer

2

Explanation

The conversation emphasizes the growth and profit of newer, dynamic industries (“wizards”) compared to traditional sectors.

Incorrect options:
1.
The global economy is shifting back towards traditional industries, as they offer more stable returns: This contradicts the main point, which highlights the success of newer industries.
3. Traditional industries are consistently more profitable than newer, “wizard-ish” industries: The conversation makes it clear that “wizards” outperform traditional industries in growth and profit.
4. The terms “wizard” and “muggle” are used to describe the magical elements of business success: This is an oversimplification and doesn’t capture the main idea.

Q. 84 "Wizard" industries are characterized by

Correct Answer

1

Explanation

“ W izard” industries are noted for their higher concentration of economic profit and a greater emphasis on research and development (R&D).
Incorrect options:
2. a reliance on traditional economic rules and practices: “W izard” industries do not follow traditional economic rules.
3. lower research and development spending: “Wizard” industries are more R&D intensive, not less.
4. a slower rate of market capitalization growth: “Wizard” industries grow more rapidly in market capitalization.

Q. 85 "Muggles" refers to industries that

Correct Answer

3

Explanation

“Muggles” refers to industries that play by traditional economic rules, as opposed to the dynamic, rapidly growing “wizard” industries.

Incorrect options:
1.
exhibit high levels of market capitalization growth: “Muggles” have slower growth compared to “ wizards.”
2. are characterized by rapid and frequent changes: This describes “wizards,” not “muggles.”
4. are primarily focused on technological innovation: “Muggles” are traditional industries, not those focused on rapid technological innovation.

Q. 86 The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the most logical order and enter the sequence of numbers in the space provided. Only numbers are to be entered in the space provided for the answer, and no letters, characters, or spaces should be entered. For example, a response such as 53412 is valid, and responses such as 53412. or 53 41 2 are invalid.

1. Using the wonders of Artificial Intelligence (AI), they quickly improved upon those skills to become far more dexterous.
2. Inside a robotics laboratory of the Toyota Research Institute, a group of robots is busy cooking. There is nothing special about that; robotic chefs have been around for a while.
3. Despite their extraordinary culinary capabilities, these robots are not destined for a career in catering.
4. But these robots are more proficient than most: flipping pancakes, slicing vegetables, and making pizzas with ease.
5. The difference is that instead of being laboriously programmed to carry out their tasks, the Toyota robots have been taught only a basic set of skills.

Correct Answer

25143

Explanation

Sentence 2 introduces the setting of the robotics laboratory.
Sentence 5 explains how the robots were taught only a basic set of skills, setting up the context.
Sentence 1 talks about how AI improves the robots’ dexterity, supporting the earlier point about skills improvement.
Sentence 4 elaborates on how these robots perform tasks better than most.
Sentence 3 concludes with how, despite their abilities, the robots aren’t suited for catering careers.

Q. 87 The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the most logical order and enter the sequence of numbers in the space provided. Only numbers are to be entered in the space provided for the answer, and no letters, characters, or spaces should be entered. For example, a response such as 53412 is valid, and responses such as 53412. or 53 41 2 are invalid.

1. Among its major urban centres, Harappa and Mohenjo-Daro stand out as prime examples of this architectural prowess, revealing large public structures, residential areas, and sophisticated water management systems indicative of a complex societal structure.
2. Showing remarkable sophistication for its time, this ancient culture developed meticulously planned cities, complete with advanced sanitation systems and intricate grid layouts that underscore their profound understanding of urban design and engineering.
3. Economically, the civilization thrived on a foundation of extensive trade networks, connecting them with distant lands, alongside a robust agricultural system that sustained their large populations and facilitated surplus production.
4. Despite its impressive achievements and longevity, the reasons behind the eventual decline of this remarkable civilization remain largely enigmatic, prompting ongoing research and speculation among historians and archaeologists.
5. The Indus Valley Civilization, flourishing in the Bronze Age, represents one of humanity's earliest urban societies, evidenced by archaeological discoveries dating back thousands of years.

Correct Answer

52134

Explanation

Sentence 5 introduces the Indus Valley Civilization and its importance.
Sentence 2 provides further detail about their architectural advancements and urban design.
Sentence 1 delves deeper into the specific cities, Harappa and Mohenjo-Daro, and their significance.
Sentence 3 focuses on the civilization’s economic foundations.
Sentence 4 concludes with the unresolved mystery surrounding the decline of this civilization.

Q. 88 The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the most logical order and enter the sequence of numbers in the space provided. Only numbers are to be entered in the space provided for the answer, and no letters, characters, or spaces should be entered. For example, a response such as 3412 is valid, and responses such as 3412. or 3 41 2 are invalid.

1. In drought conditions, water often depletes in the topsoil and remains accessible only in the deeper subsoil layers.
2. A new study gives new insights into how the acid changes root growth angles to enable plants to reach out deeper subsoils in search of water.
3. Plants rely on their root systems, the primary organs for interacting with soil, to actively seek water.
4. Abscisic acid plays an important role in helping plants adapt to these challenging conditions.

Correct Answer

3142

Explanation

Sentence 3 introduces the role of roots in plants’ interaction with soil to seek water.
Sentence 1 discusses how water depletes in drought conditions and its impact on plants.
Sentence 4 explains the role of abscisic acid in helping plants adapt.
Sentence 2 explains the study’s insight into how abscisic acid affects root growth to seek water.

Q. 89 The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the most logical order and enter the sequence of numbers in the space provided. Only numbers are to be entered in the space provided for the answer, and no letters, characters, or spaces should be entered. For example, a response such as 3412 is valid, and responses such as 3412. or 3 41 2 are invalid.

1. Seven of the ten worst affected countries (including India) are low- and middle-income countries.
2. Between 1993 and 2022, India was the sixth worst-affected country in terms of fatalities and damage sustained from extreme weather events wrought by the climate crisis.
3. High income nations, whose economies are founded in industrial era use of fossil fuels, meanwhile, insist that growing economies, especially India and China, shoulder greater responsibility.
4. This reinforces the developing world’s contention that it has had to bear a disproportionate burden of climate afflictions despite having contributed little to the crisis.

Correct Answer

1324

Explanation

Sentence 1 introduces the countries most affected by climate change.
Sentence 3 explains the stance of high- income nations on climate responsibility.
Sentence 2 provides specific details about India’s impact from extreme weather.
Sentence 4 concludes with the argument from the developing world about the burden of climate crisis.

Q. 90 The sentences given below, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the most logical order and enter the sequence of numbers in the space provided. Only numbers are to be entered in the space provided for the answer, and no letters, characters, or spaces should be entered. For example, a response such as 3412 is valid, and responses such as 3412. or 3 41 2 are invalid.

1. When we take time to notice these moments, we discover hidden beauty that sparks our creative thoughts because creativity isn’t just about rare, amazing events—it’s also about finding the special in the ordinary.
2. Creativity is often seen as the ability to look at the world in a new way—to turn everyday sights, sounds, and experiences into art or ideas.
3. In fact, inspiration can come from small details of daily life: the gentle warmth of morning sunlight on a kitchen counter, the steady sound of traffic outside, or the brief smile of a stranger on a busy street.
4. Many people wrongly think that true creativity only comes from big ideas or exciting adventures.

Correct Answer

2431

Explanation

Sentence 2 begins with how creativity is often perceived.
Sentence 4 then challenges the idea that creativity only arises from big ideas.
Sentence 3 illustrates how inspiration can arise from the mundane details of daily life.
Sentence 1 concludes by emphasizing that creativity is about finding beauty in the ordinary.