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CAT 2020 Slot 3 Question Paper

CAT 2020 · Slot 3VARC · 26qDILR · 24qQA · 26q76 questions+3 / −1
Verbal Ability & RCQ1–Q26 · 26 questions
1
Reading ComprehensionMEDIUM

From the passage, we can infer that feminist scholars’ understanding of the experiences of Victorian women travellers is influenced by all of the following EXCEPT scholars':

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2
Reading ComprehensionMEDIUM

American travel literature of the 1920s:

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3
Reading ComprehensionEASY

From the passage, it can be inferred that scholars argue that Victorian women
experienced self-development through their travels because:

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4
Reading ComprehensionMEDIUM

According to the passage, Said’s book, “Orientalism”:

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5
Reading ComprehensionMEDIUM

From the passage, we can infer that travel writing is most similar to:

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6
Reading ComprehensionHARD

None of the following views is expressed in the passage EXCEPT that:

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7
Reading ComprehensionMEDIUM

According to the passage, the “collapse of civilisations” is viewed by Bregman as:

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8
Reading ComprehensionMEDIUM

According to the author, the main reason why Bregman contrasts life in pre-agricultural societies with agricultural societies is to:

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9
Reading ComprehensionMEDIUM

The author has differing views from Bregman regarding:

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10
Reading ComprehensionMEDIUM

Which one of the following, if true, would be an accurate inference from the first
sentence of the passage?

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11
Reading ComprehensionMEDIUM

Which one of the following best captures the main argument of the last paragraph of
the passage?

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12
Reading ComprehensionEASY

According to the passage, the author is likely to be supportive of which one of the
following programmes?

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13
Reading ComprehensionMEDIUM

All of the following, if true, could be seen as supporting the arguments in the passage, EXCEPT:

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14
Reading ComprehensionMEDIUM

Which one of the following, if false, could be seen as supporting the author’s claims?

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15
Reading ComprehensionEASY

Which of the following statements about the negative effects of screen time is the author least likely to endorse?

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16
Reading ComprehensionEASY

The statement “The richer you are, the more you spend to be off-screen” is supported by which other line from the passage?

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17
Reading ComprehensionEASY

The author claims that Silicon Valley tech companies have tried to “confuse the public” by:

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18
Reading ComprehensionMEDIUM

The author is least likely to agree with the view that the increase in screen-time is fuelled by the fact that:

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19
Para JumblesHARDTITA

The four sentences (labelled 1, 2, 3, 4) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:
1. Complex computational elements of the CNS are organized according to a “nested” hierarchic criterion; the organization is not permanent and can change dynamically from moment to moment as they carry out a computational task.
2. Echolocation in bats exemplifies adaptation produced by natural selection; a function not produced by natural selection for its current use is exaptation -- feathers might have originally arisen in the context of selection for insulation.
3. From a structural standpoint, consistent with exaptation, the living organism is organized as a complex of “Russian Matryoshka Dolls” -- smaller structures are contained within larger ones in multiple layers.
4. The exaptation concept, and the Russian-doll organization concept of living beings deduced from studies on evolution of the various apparatuses in mammals, can be applied for the most complex human organ: the central nervous system (CNS).

20
Para JumblesHARDTITA

The four sentences (labelled 1, 2, 3, 4) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:
1. It advocated a conservative approach to antitrust enforcement that espouses faith in efficient markets and voiced suspicion regarding the merits of judicial intervention to correct anticompetitive practices.
2. Many industries have consistently gained market share, the lion’s share - without any official concern; the most successful technology companies have grown into veritable titans, on the premise that they advance ‘public interest’.
3. That the new anticompetitive risks posed by tech giants like Google, Facebook, and Amazon, necessitate new legal solutions could be attributed to the dearth of enforcement actions against monopolies and the few cases challenging mergers in the USA.
4. The criterion of ‘consumer welfare standard’ and the principle that antitrust law should serve consumer interests and that it should protect competition rather than individual competitors was an antitrust law introduced by, and named after, the 'Chicago school'.

21
Odd one outHARDTITA

Five jumbled up sentences, related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd one out and key in the number of the sentence as your answer:
1. Machine learning models are prone to learning human-like biases from the training data that feeds these algorithms.
2. Hate speech detection is part of the on-going effort against oppressive and abusive language on social media.
3. The current automatic detection models miss out on something vital: context.
4. It uses complex algorithms to flag racist or violent speech faster and better than human beings alone.
5. For instance, algorithms struggle to determine if group identifiers like "gay" or "black" are used in offensive or prejudiced ways because they're trained on imbalanced datasets with unusually high rates of hate speech.

22
Odd one outMEDIUMTITA

Five jumbled up sentences, related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd one out and key in the number of the sentence as your answer:
1. The logic of displaying one’s inner qualities through outward appearance was based on a distinction between being a woman and being feminine.
2. 'Appearance' became a signifier of conduct - to look was to be and conformity to the feminine ideal was measured by how well women could use the tools of the fashion and beauty industries.
3. The makeover-centric media sets out subtly and not-so-subtly, ‘good’ and ‘bad’ ways to be a woman, layering these over inequalities of race and class.
4. The denigration of working-class women and women of colour often centres on their perceived failure to embody feminine beauty.
5. ‘Woman’ was considered a biological category, but femininity was a ‘process’ by which women became specific kinds of women.

23
Para SummaryEASY

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

The dominant hypotheses in modern science believe that language evolved to allow humans to exchange factual information about the physical world. But an alternative view is that language evolved, in modern humans at least, to facilitate social bonding. It increased our ancestors’ chances of survival by enabling them to hunt more successfully or to cooperate more extensively. Language meant that things could be explained and that plans and past experiences could be shared efficiently.

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24
Para SummaryMEDIUM

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

Aesthetic political representation urges us to realize that ‘the representative has autonomy with regard to the people represented’ but autonomy then is not an excuse to abandon one’s responsibility. Aesthetic autonomy requires cultivation of ‘disinterestedness’ on the part of actors which is not indifference. To have disinterestedness, that is, to have comportment towards the beautiful that is devoid of all ulterior references to use - requires a kind of aesthetic commitment; it is the liberation of ourselves for the release of what has proper worth only in itself.

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25
Para SummaryEASY

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

Brown et al. (2001) suggest that ‘metabolic theory may provide a conceptual foundation for much of ecology just as genetic theory provides a foundation for much of evolutionary biology’. One of the successes of genetic theory is the diversity of theoretical approaches and models that have been developed and applied. A Web of Science (v. 5.9. Thomson Reuters) search on genetic* + theor* + evol* identifies more than 12000 publications between 2005 and 2012. Considering only the 10 most-cited papers within this 12000 publication set, genetic theory can be seen to focus on genome dynamics, phylogenetic inference, game theory and the regulation of gene expression. There is no one fundamental genetic equation, but rather a wide array of genetic models, ranging from simple to complex, with differing inputs and outputs, and divergent areas of application, loosely connected to each other through the shared conceptual foundation of heritable variation.

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26
Para JumblesMEDIUMTITA

The four sentences (labelled 1, 2, 3, 4) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:
1. Each one personified a different aspect of good fortune.
2. The others were versions of popular Buddhist gods, Hindu gods and Daoist gods.
3. Seven popular Japanese deities, the Shichi Fukujin, were considered to bring good luck and happiness.
4. Although they were included in the Shinto pantheon, only two of them, Daikoku and Ebisu, were indigenous Japanese gods.

Data Interpretation & LRQ27–Q50 · 24 questions
27
PuzzlesEASY

Suppose vial C tests positive and vials A, E and H test negative. Which patient has the disease?

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28
PuzzlesEASY

Suppose vial A tests positive and vials D and G test negative. Which of the following vials should we test next to identify the patient with the disease?

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29
PuzzlesEASY

Which of the following combinations of test results is NOT possible?

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30
PuzzlesHARD

Suppose one of the lab assistants accidentally mixed two patients' blood samples before they were distributed to the vials. Which of the following correctly represents the set of all possible numbers of positive test results out of the eight vials?

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31
Data Interpretation BasicsHARD

Among the following days, the largest fraction of orders booked on which day was lost?

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32
Data Interpretation BasicsHARD

On which of the following days was the number of orders booked the highest?

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33
Data Interpretation BasicsHARD

The delivery ratio for a given day is defined as the ratio of the number of orders booked on that day which are delivered on the next day to the number of orders booked on that day which are delivered on the second day after booking. On which of the following days, was the delivery ratio the highest?

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34
Data Interpretation BasicsHARD

The average time taken to deliver orders booked on a particular day is computed as follows. Let the number of orders delivered the next day be x and the number of orders delivered the day after be y. Then the average time to deliver order is (x+2y)(x+y)\frac{(x+2y)}{(x+y)}(x+y)(x+2y)​. On which of the following days was the average time taken to deliver orders booked the least?

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35
2D & 3D LRMEDIUM

How many mango trees were there in total?

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36
2D & 3D LRMEDIUM

Which of the following is the correct sequence of trees received by Abha, Bina, Chitra and Dipti in that order?

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37
2D & 3D LRMEDIUM

How many pine trees did Chitra receive?

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38
2D & 3D LRMEDIUM

Who got the plot with the smallest number of trees and how many trees did that plot have?

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39
2D & 3D LRMEDIUM

Which of the following statements is NOT true?

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40
2D & 3D LRMEDIUM

Which column had the highest number of trees?

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41
Games and TournamnentsMEDIUM

What were the bids by Arun, Bankim, Charu and Dipak, respectively in the first round?

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42
Games and TournamnentsMEDIUMTITA

In how many rounds did Arun bid Hi?

43
Games and TournamnentsMEDIUMTITA

In how many rounds did Bankim bid Lo?

44
Games and TournamnentsMEDIUMTITA

In how many rounds did all four players make identical bids?

45
Games and TournamnentsMEDIUMTITA

In how many rounds did Dipak gain exactly 1 point?

46
Games and TournamnentsMEDIUM

In which of the following rounds, was Arun DEFINITELY the only player to bid Hi?

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47
Venn DiagramsEASY

What was the total number of schools having exactly three of the four facilities?

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48
Venn DiagramsMEDIUM

What was the number of schools having facilities F2 and F4?

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49
Venn DiagramsMEDIUMTITA

What was the number of schools having only facilities F1 and F3?

50
Venn DiagramsMEDIUMTITA

What was the number of schools having only facilities F1 and F4?

Quantitative AbilityQ51–Q76 · 26 questions
51
Mixtures and SolutionsEASY

Two alcohol solutions, A and B, are mixed in the proportion 1:3 by volume. The volume of the mixture is then doubled by adding solution A such that the resulting mixture has 72% alcohol. If solution A has 60% alcohol, then the percentage of alcohol in solution B is

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52
Averages, Ratio and ProportionMEDIUM

A batsman played n + 2 innings and got out on all occasions. His average score in these n + 2 innings was 29 runs and he scored 38 and 15 runs in the last two innings. The batsman scored less than 38 runs in each of the first n innings. In these n innings, his average score was 30 runs and lowest score was x runs. The smallest possible value of x is

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53
Quadratic EquationsMEDIUM

Let m and n be positive integers, If x2+mx+2n=0x^{2}+mx+2n=0x2+mx+2n=0 and x2+2nx+m=0x^{2}+2nx+m=0x2+2nx+m=0 have real roots, then the smallest possible value of m+nm+nm+n is

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54
Time and WorkMEDIUMTITA

A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?

55
Progressions and SeriesMEDIUM

If x1=−1x_1=-1x1​=−1 and xm=xm+1+(m+1)x_m=x_{m+1}+(m+1)xm​=xm+1​+(m+1) for every positive integer m, then X100X_{100}X100​ equals

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56
Logarithms, Surds and IndicesMEDIUM

If log⁡a30=A,log⁡a(53)=−B\log_{a}{30}=A,\log_{a}({\frac{5}{3}})=-Bloga​30=A,loga​(35​)=−B and log⁡2a=13\log_2{a}=\frac{1}{3}log2​a=31​, then log⁡3a\log_3{a}log3​a equals

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57
Linear EquationsEASYTITA

Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick's age is 1 year less than the average age of all three, then Harry's age, in years, is

58
Time, Speed and DistanceMEDIUM

Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual total time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time is

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59
Number SystemsMEDIUM

Let m and n be natural numbers such that n is even and 0.2<\frac{m}{20},\frac{n}{m},\frac{n}{11}<0.5. Then m−2nm-2nm−2n equals

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60
Number SystemsHARDTITA

How many integers in the set {100, 101, 102, ..., 999} have at least one digit repeated?

61
Profit and LossEASY

In the final examination, Bishnu scored 52% and Asha scored 64%. The marks obtained by Bishnu is 23 less, and that by Asha is 34 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%, is

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62
Logarithms, Surds and IndicesMEDIUMTITA

If a,b,c are non-zero and 14a=36b=84c14^a=36^b=84^c14a=36b=84c, then 6b(1c−1a)6b(\frac{1}{c}-\frac{1}{a})6b(c1​−a1​) is equal to

63
InterestEASYTITA

A person invested a certain amount of money at 10% annual interest, compounded half-yearly. After one and a half years, the interest and principal together became Rs.18522. The amount, in rupees, that the person had invested is

64
Profit and LossMEDIUM

A man buys 35 kg of sugar and sets a marked price in order to make a 20% profit. He sells 5 kg at this price, and 15 kg at a 10% discount. Accidentally, 3 kg of sugar is wasted. He sells the remaining sugar by raising the marked price by p percent so as to make an overall profit of 15%. Then p is nearest to

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65
GeometryMEDIUM

The points (2,1) and (-3,-4) are opposite vertices of a parallelogram.If the other two vertices lie on the line x+9y+c=0x+9y+c=0x+9y+c=0, then c is

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66
Time, Speed and DistanceEASY

A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The trains meet each other at

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67
Number SystemsHARDTITA

Let N, x and y be positive integers such that N=x+y,2<x<10 and 14<y<23. If N>25, then how many distinct values are possible for N?

68
Linear EquationsMEDIUM

Let k be a constant. The equations kx+y=3kx + y = 3kx+y=3 and 4x+ky=44x + ky = 44x+ky=4 have a unique solution if and only if

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69
Number SystemsMEDIUM

How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?

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70
Number SystemsMEDIUM

How many pairs(a, b) of positive integers are there such that a≤ba\leq ba≤b and ab=42017ab=4^{2017}ab=42017 ?

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71
Time, Speed and DistanceMEDIUM

Anil, Sunil, and Ravi run along a circular path of length 3 km, starting from the same point at the same time, and going in the clockwise direction. If they run at speeds of 15 km/hr, 10 km/hr, and 8 km/hr, respectively, how much distance in km will Ravi have run when Anil and Sunil meet again for the first time at the starting point?

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72
GeometryMEDIUMTITA

In a trapezium ABCDABCDABCD, ABABAB is parallel to DCDCDC, BCBCBC is perpendicular to DCDCDC and ∠BAD=450\angle BAD=45^{0}∠BAD=450. If DCDCDC = 5cm, BCBCBC = 4 cm,the area of the trapezium in sq cm is

73
Functions, Graphs and StatisticsMEDIUM

The area, in sq. units, enclosed by the lines x=2,y=∣x−2∣+4x=2,y=\mid x-2\mid+4x=2,y=∣x−2∣+4, the X-axis and the Y-axis is equal to

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74
Functions, Graphs and StatisticsMEDIUM

If f(x+y)=f(x)f(y)f(x+y)=f(x)f(y)f(x+y)=f(x)f(y) and f(5)=4f(5)=4f(5)=4, then f(10)−f(−10)f(10)-f(-10)f(10)−f(−10) is equal to

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75
Logarithms, Surds and IndicesMEDIUMTITA

2×4×8×16(log⁡24)2(log⁡48)3(log⁡816)4\frac{2\times4\times8\times16}{(\log_{2}{4})^{2}(\log_{4}{8})^{3}(\log_{8}{16})^{4}}(log2​4)2(log4​8)3(log8​16)42×4×8×16​ equals

76
GeometryHARD

The vertices of a triangle are (0,0), (4,0) and (3,9). The area of the circle passing through these three points is

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