CAT Exam  >  CAT Tests  >  CAT 2024 Slot 3: Past Year Question Paper - CAT MCQ

CAT 2024 Slot 3: Past Year Question Paper - CAT MCQ


Test Description

30 Questions MCQ Test - CAT 2024 Slot 3: Past Year Question Paper

CAT 2024 Slot 3: Past Year Question Paper for CAT 2025 is part of CAT preparation. The CAT 2024 Slot 3: Past Year Question Paper questions and answers have been prepared according to the CAT exam syllabus.The CAT 2024 Slot 3: Past Year Question Paper MCQs are made for CAT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for CAT 2024 Slot 3: Past Year Question Paper below.
Solutions of CAT 2024 Slot 3: Past Year Question Paper questions in English are available as part of our course for CAT & CAT 2024 Slot 3: Past Year Question Paper solutions in Hindi for CAT course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt CAT 2024 Slot 3: Past Year Question Paper | 68 questions in 120 minutes | Mock test for CAT preparation | Free important questions MCQ to study for CAT Exam | Download free PDF with solutions
CAT 2024 Slot 3: Past Year Question Paper - Question 1

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.

Sentence: Many have had to leave their homes behind, with more than 1.3 million people being displaced due to the drought.

Passage: Somalia has been dealing with an enormous humanitarian catastrophe, driven by the longest and most severe drought the country has experienced in at least 40 years. ___(1)___. Five consecutive rainy seasons have failed, causing more than 8 million people - almost half of the country’s population – to experience acute food insecurity. ___(2)___. More than 43,000 people are believed to have lost their lives, with half of the lives lost likely being children under five. The damage the drought has caused is far-reaching. ___(3)___. Farmers have lost all their agricultural income, while pastoralists have lost more than 3 million livestock, impoverishing entire communities, and leaving them on the brink of famine. ___(4)___. Some, like the pastoralists, may never be able to go back as their livelihoods have been irreversibly wiped out.

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 1

The correct placement is 4.

The missing sentence describes the displacement of over 1.3 million people due to the drought. This fits logically after the discussion of the drought’s far-reaching impact on livelihoods, such as the loss of agricultural income and livestock: "Farmers have lost all their agricultural income, while pastoralists have lost more than 3 million livestock, impoverishing entire communities." Placing it at position 4 ensures a smooth transition to the conclusion about irreversible changes for displaced populations.

*Answer can only contain numeric values
CAT 2024 Slot 3: Past Year Question Paper - Question 2

Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your answer.

1. To create a synapse, the neuron has specialized structures, often seen as tiny swellings, at its terminal end of the axon where it stores the chemicals that are emitted to transmit a signal to the next neuron.
2. This fetal warm-up act—the soldering of neural connections before the eyes actually function—is crucial to the performance of the visual system.
3. The reasons for this paring back of synapses is a mystery, but synaptic pruning is thought to sharpen and reinforce the “correct” synapses, while removing the weak and unnecessary ones.
4. Neural connections between the eyes and the brain are formed long before birth, establishing the wiring and the circuitry that allow a child to begin visualizing the world the minute she emerges from the womb.
5. During this rehearsal period, synapses—points of chemical connection—between nerve cells are generated in great excess, only to be pruned back during later development.


Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 2

The odd sentence is 1, and the correct sequence is 4253.

The paragraph primarily discusses the formation of neural connections during the fetal stage, emphasizing the early establishment of visual neural circuits, their overproduction, and subsequent pruning to refine the system. Sentence 4 introduces the topic by describing the formation of neural connections between the eyes and the brain before birth. Sentence 2 elaborates on the importance of this process as a preparatory stage for the visual system's functioning. Sentence 5 explains the overproduction of synapses during this period, and Sentence 3 addresses the subsequent pruning process to refine the neural network. Sentence 1, while related to synapse creation, focuses on a specific mechanism (chemical storage at axon terminals) rather than the broader developmental timeline discussed in the other sentences. Thus, it does not fit within the paragraph's logical progression.

CAT 2024 Slot 3: Past Year Question Paper - Question 3

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

When the tradwife puts on that georgic, pinstriped dress, she is not just admiring the visual cues of a fantastical past. She takes these dreams of storybook bliss literally, tracing them backward in time until she reaches a logical conclusion that satisfies her. And by doing so, she ends up delivering an unhappy reminder of just how much our lives consist of artifice and playacting. The tradwife outrages people because of her deliberately regressive ideals. And yet her behaviour is, on some level, indistinguishable from the nontradwife’s. The tradwife’s trollish genius is to beat us at our own dress-up game. By insisting that the idyllic cottage daydream should be real, right down to the primitive gender roles, she leaves others feeling hollow, cheated. The hullabaloo and headaches she causes may be the price we pay for taking too many things at face value: our just deserts, served Instagram-perfect by a manicured hand on a gorgeous ceramic dish, with fat, mouthwatering maraschino cherries on top.

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 3

The correct answer is B: The tradwife, with her vintage dress and traditional roles, highlights the superficiality of modern life and challenges current societal norms.

The passage discusses how the tradwife’s embrace of outdated gender roles and retro aesthetics critiques modern values, exposing societal artifice:

"She takes these dreams of storybook bliss literally … She leaves others feeling hollow, cheated."

Option B captures both the critique and the challenge posed by the tradwife’s behavior. Options A and D focus too narrowly on mocking societal norms. Option C is repetitive and less precise than Option B.

*Answer can only contain numeric values
CAT 2024 Slot 3: Past Year Question Paper - Question 4

Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your answer.

1. Part of the appeal of forecasting is not just that it seems to work, but that you don’t seem to need specialized expertise to succeed at it.

2. The tight connection between forecasting and building a model of the world helps explain why so much of the early interest in the idea came from the intelligence community.

3. This was true even though the latter had access to classified intelligence.

4. One frequently cited study found that accurate forecasters’ predictions of geopolitical events, when aggregated using standard scientific methods, were more accurate than the forecasts of members of the US intelligence community who answered the same questions in a confidential prediction market.

5. The aggregated opinions of non-experts doing forecasting have proven to be a better guide to the future than the aggregated opinions of experts.


Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 4

The odd sentence is 2, and the sequence is 1543.

The paragraph discusses the effectiveness of aggregated opinions of non-experts in forecasting geopolitical events. Sentences 1, 5, 4, and 3 describe the success of non-expert forecasters and their comparison to intelligence experts. Sentence 2, which introduces the connection between forecasting and intelligence models, diverges from the focus on comparing experts and non-experts, making it the odd one out.

CAT 2024 Slot 3: Past Year Question Paper - Question 5

The author’s overall tone in the first paragraph can be described as

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 5

The correct answer is C: sceptical about the excessive efforts to sanitise planets where life has not yet been proven to exist.

The author critiques planetary protection advocates for imposing excessive sterilization measures despite the unproven existence of Martian biospheres:

"Transporting bacteria would matter if Mars were the vital world once imagined … sadly, robotic exploration reveals a bleak, rusted landscape."

This skepticism is evident in the author’s tone. Option A contradicts the critique and Options B and D misinterpret the author’s stance.

CAT 2024 Slot 3: Past Year Question Paper - Question 6

The author is unlikely to disagree with any of the following EXCEPT:

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 6

The correct answer is 1: space contamination should be minimised until the possibility of life on the astronomical body being explored is ruled out.

The author argues against strict sterilization, emphasizing the negligible risks of contaminating hypothetical biospheres:

"The upsides from human exploration … clearly outweigh the welfare of purely speculative Martian fungi."

Options B, C, and D align with the author’s views, while Option A contradicts the stance on prioritizing exploration over contamination concerns.

CAT 2024 Slot 3: Past Year Question Paper - Question 7

The contrasting reactions to the Chinese and Israeli “contaminations” of lunar space

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 7

The correct answer is A: indicate that national scientists may have different sensitivities to issues of biosphere protection.

The passage contrasts China’s lack of concern over its lunar germination experiment with the backlash to Israel’s tardigrade incident:

"China recently sent a terrarium to the moon … with, unsurprisingly, no protest from its own scientific community."

This suggests differing sensitivities among nations. Options B, C, and D either oversimplify or misinterpret the passage.

CAT 2024 Slot 3: Past Year Question Paper - Question 8

The author mentions all of the following reasons to dismiss concerns about contaminating Mars EXCEPT:

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 8

The correct answer is A: sceptical about the excessive efforts to sanitise planets where life has not yet been proven to exist. The author critiques the stringent planetary protection measures, highlighting the immense cost incurred by NASA to sterilize probes for the protection of "entirely theoretical biospheres." This skepticism is evident in the dismissive tone when referring to Mars as a "bleak, rusted landscape" that is "flooded with radiation ready to sterilize any Earthly microbes." The author further questions the justification for such measures given the lack of concrete evidence of life on Mars and contrasts this with the practical challenges posed to human exploration, such as the prohibitive expense of maintaining sterility. By framing these efforts as unnecessary and impractical, the author adopts a tone of clear skepticism toward the prioritization of planetary sterilization over human exploration and development. This makes Option A the most accurate choice. The other options either misinterpret the author’s stance or fail to align with the explicitly critical tone expressed in the passage.

CAT 2024 Slot 3: Past Year Question Paper - Question 9

Which one of the following is both a reason for Moutai’s success as well as a possible threat to that success?

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 9

The correct answer is A: Its appeal to the older age group.

Moutai’s success partly relies on its appeal to middle-aged drinkers, a demographic supported by China’s unique social structure: "Many have no siblings … their elderly parents can splash out on weddings and banquets." However, the passage also identifies this as a long-term risk, as millennials, who prioritize health and balanced lifestyles, may not embrace the heavy-drinking culture on which Moutai’s demand rests: "In the long run, its biggest risk may be millennials." This dual nature of being both a strength and a threat makes Option A the correct answer. Options C and D are important factors but are not explicitly identified as both strengths and risks.

CAT 2024 Slot 3: Past Year Question Paper - Question 10

In the context of the passage we can infer that to succeed in the liquor industry in China, a marketing firm must consider all of the following factors affecting the Chinese liquor market EXCEPT that

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 10

The correct answer is D: there is money to be made from marketing to the middle class.

The passage highlights several factors crucial to success in China's liquor market, such as government pricing controls ("the government is its largest shareholder—and a meddlesome one"), stiff competition for middle-class consumers ("Markets are littered with the corpses of firms that could not compete in the cut-throat battle for Chinese middle-class wallets"), and the lucrative high-end consumer market with few competitors ("the country’s premium market is massive … and still less crowded with prestige brands than advanced economies"). However, the passage explicitly states that Moutai avoids targeting the middle class due to intense competition, making Option D inconsistent with the text. The other options reflect considerations that are directly mentioned in the passage.

CAT 2024 Slot 3: Past Year Question Paper - Question 11

The phrase “would make it an invention to rival gunpowder” has been used in the passage in a sense that is

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 11

The correct answer is C: metaphorical.

The phrase "would make it an invention to rival gunpowder" metaphorically emphasizes Moutai's hangover-proof quality as a groundbreaking and transformative feature, likening it to a revolutionary invention like gunpowder. This comparison is not literal, as the passage does not suggest that Moutai has a direct equivalence to gunpowder in a historical or technological sense. Instead, the author uses this metaphor to highlight Moutai's remarkable appeal and national pride. The other options, such as literal or substantive, misinterpret the figurative nature of the comparison.

CAT 2024 Slot 3: Past Year Question Paper - Question 12

In the context of the passage, it is most likely that the author refers to Moutai’s marketing strategy as “the unholy trinity” because

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 12

The correct answer is B: it contradicts the Western strategy of marketing.

The phrase "unholy trinity" refers to Moutai's reliance on nationalism, elitism, and ageism, which are described as the antithesis of Western marketing principles. The author states that Moutai disregards conventional Western strategies, such as appealing to millennials or focusing on global markets: "It does this while disregarding every Western marketing mantra." While nationalism, elitism, and ageism have contributed to Moutai's success, these elements also expose the company to risks. However, the term "unholy trinity" specifically critiques Moutai’s rejection of Western marketing norms, making Option B the most accurate choice.

CAT 2024 Slot 3: Past Year Question Paper - Question 13

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

Humans have managed to tweak the underlying biology of various plants and animals to produce high-tech crops and microbes. But regulating these entities is complicated, as the framework of policies and procedures are outdated and not flexible enough to adapt to emerging technology. The question is whether regulation will ever be able to keep up with human innovation, to regulate living things, which are apt to be unpredictable and unique; to capture all the potential risks when new biological entities are introduced, or when they pass on variations of their genes?

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 13

The correct answer is C: Current regulation of biotechnology is outdated, but it is debatable if we can create a framework, imaginative and flexible, to cover all contingencies in this fast-changing area.

The passage highlights the inadequacy of current regulations in biotechnology to handle the unpredictability and risks associated with emerging biological innovations. It questions whether regulatory frameworks can evolve fast enough to manage these complexities:

"The question is whether regulation will ever be able to keep up with human innovation, to regulate living things, which are apt to be unpredictable and unique."

Option C encapsulates this skepticism while acknowledging the need for an imaginative, flexible approach. Options A and D focus more on solutions but do not capture the passage’s central concern. Option B narrows the discussion to imagining outcomes, which misses the broader regulatory challenge.

CAT 2024 Slot 3: Past Year Question Paper - Question 14

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.

Lyric poetry is a genre of private meditation rather than public commitment. The impulse in Marxism toward changing a society deemed unacceptable in its basic design would seem to place demands on lyric poetry that such poetry, with its tendency toward the personal, the small scale, and the idiosyncratic, could never answer. There is within Marxism, however, also a strand of thought that would locate in lyric poetry alternative modes of perception and description that call forth a vision of worlds at odds with a repressive reality or that draw attention to the workings of ideology within the hegemonic culture. The poetic imagination may indeed deflect larger social concerns, but it may also be implicitly critical and utopian.

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 14

The correct answer is A: The focus of lyric poetry as personal may not seem compatible with Marxism. However, it is possible to envisage lyric poetry as a symbol of resistance against an oppressive culture.

The passage contrasts the personal nature of lyric poetry with Marxism's focus on societal change but acknowledges its potential as a form of resistance: "The poetic imagination … may also be implicitly critical and utopian." Option A captures this dual perspective, emphasizing both the apparent incompatibility and the possibility of compatibility. Options B, C, and D oversimplify or misrepresent the nuanced relationship between lyric poetry and Marxism.

CAT 2024 Slot 3: Past Year Question Paper - Question 15

In the context of the passage, which one of the following hypothetical scenarios, if true, is NOT an example of the kind of loss that occurs when a language becomes extinct?

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 15

The correct answer is C: The Lamkangs of Manipur have only 3 remaining native speakers of the language. When they die, we will lose one more group from the government list of indigenous tribes.

The passage focuses on the loss of cultural knowledge, worldview, and ecological insights when a language becomes extinct:

"When the language they speak goes extinct, the rest of humanity loses their knowledge of that environment."

Option C, which discusses administrative implications rather than cultural or ecological losses, does not align with the passage’s argument. The other options highlight unique cultural and environmental knowledge tied to languages.

CAT 2024 Slot 3: Past Year Question Paper - Question 16

It can be inferred from the passage that it is likely South America had a slightly better language survival rate than North America for all of the following reasons EXCEPT:

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 16

The correct answer is D: locals were provided job opportunities in the colonial administration.

The passage suggests that slightly better language survival rates in South America were due to less physical annihilation and weaker colonial integration efforts:

"As many as 75 percent of the languages spoken in the territories that became the United States have gone extinct, with slightly better language survival rates in Central and South America."

Options A, B, and C reflect factors consistent with this reasoning, while Option D is not mentioned in the passage.

CAT 2024 Slot 3: Past Year Question Paper - Question 17

The author believes that a liberal arts education combined with participation in language preservation empower students in all of the following ways EXCEPT that they will

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 17

The correct answer is D: establish schools to preserve languages spiraling towards extinction.

The passage acknowledges that most students will not actively pursue language preservation, such as establishing schools:

"Certainly, though, the vast majority of students will not pursue this kind of activity."

However, liberal arts education can empower students to learn languages, understand their own culture, and overcome cultural barriers, aligning with Options A, B, and C.

CAT 2024 Slot 3: Past Year Question Paper - Question 18

Which one of the following hypothetical scenarios, if true, would most strongly undermine the central ideas of the passage?

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 18

The correct answer is C: A liberal arts education requires that, in addition to being fluent in English, students gain fluency in two of the top five most spoken languages globally.

The passage emphasizes the importance of learning endangered or minority languages to preserve cultural diversity and sensitivity:

"When students study languages other than their own, they are sensitized to the existence of different cultural perspectives and practices."

If students were required to focus on globally dominant languages, it would contradict the passage’s argument about preserving linguistic diversity and endangered languages. Options A, B, and D do not undermine the central ideas as directly.

CAT 2024 Slot 3: Past Year Question Paper - Question 19

The author terms language “the operating system of our civilization” for all the following reasons EXCEPT that it

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 19

The correct answer is D: is the basis of AI tools like ChatGPT which can be used to generate academic content and opinion.

The passage describes language as the foundation of human culture, enabling the creation of cultural artifacts, legal systems, and shared values: "Language is the stuff almost all human culture is made of." It emphasizes language's societal role, not its technical application in AI tools. While the passage mentions AI tools like ChatGPT, this is tangential to the broader discussion of language's cultural significance. Option D focuses narrowly on AI tools and is inconsistent with the passage’s central argument. Options A, B, and C directly align with the discussion of language’s role in shaping civilization.

CAT 2024 Slot 3: Past Year Question Paper - Question 20

The tone of the passage could best be described as

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 20

The correct answer is 4: cautionary, because the author lays out some adverse effects of the proliferation of unregulated AI tools.

The passage warns of the dangers of unregulated AI, such as its potential to undermine democracy, create social chaos, and manipulate language to foster emotional ties with humans. The tone remains focused on highlighting risks and advocating for swift regulatory action: "We can still regulate the new AI tools, but we must act quickly." While the passage acknowledges AI’s potential for good, its primary intent is to caution against its unregulated proliferation. Option D best captures this tone. Options A and C focus on secondary elements of the passage, and Option B exaggerates the alarmist tone.

CAT 2024 Slot 3: Past Year Question Paper - Question 21

We can infer that the author is most likely to agree with which of the following statements?

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 21

The correct answer is A: One of the biggest casualties from the spread of unregulated AI is likely to be the democratic process.

The passage emphasizes how unregulated AI could undermine democracy by hacking language and creating social chaos: "Unregulated AI deployments would create social chaos, which would benefit autocrats and ruin democracies." The author argues that democracy relies on meaningful conversations, which AI could disrupt. This makes Option A the most accurate choice. Option B discusses benefits the author deliberately avoids focusing on and Options C and D misrepresent the author’s views on specific fears about AI.

CAT 2024 Slot 3: Past Year Question Paper - Question 22

The author identifies all of the following as dire outcomes of the capture of language by AI EXCEPT that it could

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 22

The correct answer is D: apply its mastery of language to create strong emotional ties which could exacerbate the polarization of political views.

The passage discusses AI’s ability to foster emotional connections but does not explicitly link this to political polarization. Instead, it focuses on broader societal risks, such as subverting democracy ("destroying our ability to have meaningful conversations") and creating new cultures. Options B, C, and A reflect these risks, whereas Option D introduces a connection not supported by the passage.

CAT 2024 Slot 3: Past Year Question Paper - Question 23

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.

Sentence: This reality is putting stress on employees who have to pay for transport, desk lunches, more childcare, clothing and that after-work socialisation – costs they haven’t incurred for nearly two years.

Paragraph: ___(1)___. Prices are rising at their fastest rate in 40 years, consequently, return-to-office-related costs have shot up – think petrol and food, for instance. ___(2)___. Yet wages haven’t kept up with inflation – even despite the salary growth many workers have enjoyed during a favourable pandemic labour market. ___(3)___. This is especially jarring for workers who were able to save during remote work, when these expenditures weren’t a factor. ___(4)___. In April 2022, Umus, a London university lecturer, told BBC Worklife that they were spending nearly a quarter of what they made every day on return-to-work costs.

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 23

The correct placement is 3.

The missing sentence discusses the added financial burden on employees returning to the office, such as transport and childcare costs. It connects well after the mention of inflation and stagnant wages:

"Yet wages haven’t kept up with inflation … This is especially jarring for workers who were able to save during remote work."

Placing it at position 3 bridges the ideas of rising costs (position 2) and the contrasting savings during remote work (position 4), maintaining logical continuity.

CAT 2024 Slot 3: Past Year Question Paper - Question 24

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.

Sentence: Taken outside the village of Trang Bang on June 8, 1972, the picture captured the trauma and indiscriminate violence of a conflict that claimed, by some estimates, a million or more civilian lives.

Paragraph: The horrifying photograph of children fleeing a deadly napalm attack has become a defining image not only of the Vietnam War but the 20th century. ___(1)___. Dark smoke billowing behind them, the young subjects’ faces are painted with a mixture of terror, pain and confusion. ___(2)___. Soldiers from the South Vietnamese army’s 25th Division follow helplessly behind. ___(3)___. The picture was officially titled “The Terror of War,” but the photo is better known by the nickname given to naked 9-year-old at its centre “Napalm Girl”. ___(4)___.

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 24

The correct placement is 3.

The missing sentence provides specific contextual details about the iconic photograph, such as its origin and historical significance. It fits best before the description of the photo’s title and the central figure, "Napalm Girl." Placing it at position 3 ensures logical continuity between the visual description in Sentence 2 and the naming of the photo in Sentence 4.

CAT 2024 Slot 3: Past Year Question Paper - Question 25

A circular plot of land is divided into two regions by a chord of length 10√3 meters such that the chord subtends an angle of 120° at the center. Then, the area, in square meters, of the smaller region is

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 25

Now, we have
θ = 120° where θ is the angle subtended by a chord at the center.
Length of chord = 10√3 = 2r sin (θ / 2)
2 * r * sin60 = 10√3
r = 10
So, the area of the smaller region = area of the sector – area of the triangle = (θ / 360) * πr2 – (1 / 2) * |absinθ|
= (120 / 360) * π * 102 – (1 / 2) * |102 * sin120°| = (100π / 3) – |50 * cos30°| = (100π / 3) – 25√3 = 25((4π / 3) – √3)
Hence, option A is the correct answer.

*Answer can only contain numeric values
CAT 2024 Slot 3: Past Year Question Paper - Question 26

The midpoints of sides AB, BC, and AC in ∆ABC are M, N, and P, respectively. The medians drawn from A, B, and C intersect the line segments MP, MN and NP at X, Y, and Z, respectively. If the area of ∆ABC is 1440 sq cm, then the area, in sq cm, of ∆XYZ is


Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 26

In geometry, the medians of a triangle divide the larger triangle into 6 smaller triangles of equal area.
Therefore, the Area of triangle MNP = 1/4 * (Area of triangle ABC) = ¼ *1440 = 360 sq. cm
Also, triangle XYZ is formed by joining the mid-points of triangle MNP.
Therefore, the area of triangle XYZ = ¼ * (area of triangle MNP) = ¼ * 360 = 90 sq.cm
Hence, 90 is the required answer.

*Answer can only contain numeric values
CAT 2024 Slot 3: Past Year Question Paper - Question 27

The number of all positive integers up to 500 with non-repeating digits is


Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 27

Case 1-> 1-digit number = 9
Case 2-> 2-digit numbers = 9*9 = 81
Case 3-> 3-digit numbers = 4* 9* 8 = 288
Total number of positive integers upto 500 with non-repeating digits = 9 + 81 + 288 = 378
Hence, 378 is the required answer.

CAT 2024 Slot 3: Past Year Question Paper - Question 28

The sum of all distinct real values of x that satisfy the equation 10x + 4/10x = 81/2, is

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 28

Therefore, the sum of distinct values of x 
                                       
Hence, option B is the correct answer.

CAT 2024 Slot 3: Past Year Question Paper - Question 29

If 1068 is divided by 13, the remainder is

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 29

Now,
101 mod 13 = 10
102 mod 13 = 9
103 mod 13 = 12
104 mod 13 = 3
105 mod 13 = 4
106 mod 13 = 1
Now, 1068 mod 13 = 1066 * 102 mod 13 = 102 mod 13 = 9
Hence, 9 is the required answer.

CAT 2024 Slot 3: Past Year Question Paper - Question 30

In a group of 250 students, the percentage of girls was at least 44% and at most 60%. The rest of the students were boys. Each student opted for either swimming or running or both. If 50% of the boys and 80% of the girls opted for swimming while 70% of the boys and 60% of the girls opted for running, then the minimum and maximum possible number of students who opted for both swimming and running, are

Detailed Solution for CAT 2024 Slot 3: Past Year Question Paper - Question 30

Total students = 250
Let’s take minimum Case-
The number of girls will be 44%
So Girls = 250 x 44/100 = 110
Boys = 140
In Girls 80% opted for swimming (S) and 60% for running (R)

Min number of girls doing both = 44
In Boys 50% opted for swimming (S) and 70% for running (R)

Min number of boys doing both = 28
So min number of students doing both activities = 44 + 28 = 72
Let’s take maximum Case-
The number of girls will be 60%
So Girls = 250 x 60/100 = 150
Boys = 100
In Girls 80% opted for swimming (S) and 60% for running (R)


Max number of girls doing both = 60
In Boys 50% opted for swimming (S) and 70% for running (R)

Max number of boys doing both = 20
So max number of students doing both activities = 60 + 20 = 80
Hence, the minimum and maximum possible number of students who opted for both swimming and running, are 72 and 80, respectively.

View more questions
Information about CAT 2024 Slot 3: Past Year Question Paper Page
In this test you can find the Exam questions for CAT 2024 Slot 3: Past Year Question Paper solved & explained in the simplest way possible. Besides giving Questions and answers for CAT 2024 Slot 3: Past Year Question Paper, EduRev gives you an ample number of Online tests for practice
Download as PDF