CAT Questions

Para Jumbles

The four sentences (labelled 1,2,3,4) given in this question, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a number. Decide on the proper sequence of order of the sentences and key in this sequence of four numbers as your answer:

  1. Impartiality and objectivity are fiendishly difficult concepts that can cause all sorts of injustices even if transparently implemented.
  2. It encourages us into bubbles of people we know and like, while blinding us to different perspectives, but the deeper problem of ‘transparency’ lies in the words “…and much more”.
  3. Twitter’s website says that “tweets you are likely to care about most will show up first in your timeline…based on accounts you interact with most, tweets you engage with, and much more.”
  4. We are only told some of the basic principles, and we can’t see the algorithm itself, making it hard for citizens to analyze the system sensibly or fairly or be convinced of its impartiality and objectivity.

Reading Comprehension L2

[The] Indian government [has] announced an international competition to design a National War Memorial in New Delhi, to honour all of the Indian soldiers who served in the various wars and counter-insurgency campaigns from 1947 onwards. The terms of the competition also specified that the new structure would be built adjacent to the India Gate – a memorial to the Indian soldiers who died in the First World War. Between the old imperialist memorial and the proposed nationalist one, India’s contribution to the Second World War is airbrushed out of existence.

Reading Comprehension L2

Economists have spent most of the 20th century ignoring psychology, positive or otherwise. But today there is a great deal of emphasis on how happiness can shape global economies, or — on a smaller scale — successful business practice. This is driven, in part, by a trend in "measuring" positive emotions, mostly so they can be optimized. Neuroscientists, for example, claim to be able to locate specific emotions, such as happiness or disappointment, in particular areas of the brain. Wearable technologies, such as Spire, offer data-driven advice on how to reduce stress.

Reading Comprehension L2

When researchers at Emory University in Atlanta trained mice to fear the smell of almonds (by pairing it with electric shocks), they found, to their consternation, that both the children and grandchildren of these mice were spontaneously afraid of the same smell. That is not supposed to happen. Generations of schoolchildren have been taught that the inheritance of acquired characteristics is impossible. A mouse should not be born with something its parents have learned during their lifetimes, any more than a mouse that loses its tail in an accident should give birth to tailless mice. . . .

Reading Comprehension L2

The only thing worse than being lied to is not knowing you’re being lied to. It’s true that plastic pollution is a huge problem, of planetary proportions. And it’s true we could all do more to reduce our plastic footprint. The lie is that blame for the plastic problem is wasteful consumers and that changing our individual habits will fix it.

Recycling plastic is to saving the Earth what hammering a nail is to halting a falling skyscraper. You struggle to find a place to do it and feel pleased when you succeed. But your effort is wholly inadequate and distracts from the real problem of why the building is collapsing in the first place. The real problem is that single-use plastic - the very idea of producing plastic items like grocery bags, which we use for an average of 12 minutes but can persist in the environment for half a millennium - is an incredibly reckless abuse of technology. Encouraging individuals to recycle more will never solve the problem of a massive production of single-use plastic that should have been avoided in the first place.

Reading Comprehension L2

"Everybody pretty much agrees that the relationship between elephants and people has dramatically changed,” [says psychologist Gay] Bradshaw. . . . "Where for centuries humans and elephants lived in relatively peaceful coexistence, there is now hostility and violence. Now, I use the term ‘violence’ because of the intentionality associated with it, both in the aggression of humans and, at times, the recently observed behavior of elephants.” . . .

Typically, elephant researchers have cited, as a cause of aggression, the high levels of testosterone in newly matured male elephants or the competition for land and resources between elephants and humans. But. . . Bradshaw and several colleagues argue. . . that today’s elephant populations are suffering from a form of chronic stress, a kind of specieswide trauma. Decades of poaching and culling and habitat loss, they claim, have so disrupted the intricate web of familial and societal relations by which young elephants have traditionally been raised in the wild, and by which established elephant herds are governed, that what we are now witnessing is nothing less than a precipitous collapse of elephant culture. . . .

Divisibility

56 - 1 is divisible by

  1. 5
  2. 13
  3. 31
  4. None of these

Divisibility

If n is any odd number greater than 1, then n(n2 - 1) is

  1. divisible by 24 always
  2. divisible by 96 always
  3. divisible by 48 always
  4. None of these

Divisibility

Let N = 553 + 173 - 723. N is divisible by

  1. both 3 and 17
  2. both 7 and 13
  3. both 3 and 13
  4. both 17 and 7

Remainders

After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?

  1. 53
  2. 75
  3. 41
  4. 80

Remainders

When 2256 is divided by 17, the remainder would be

  1. 1
  2. 14
  3. 16
  4. None of these

Remainders Divisibility

What will be remainder when (6767 + 67) is divided by 68?

  1. 67
  2. 63
  3. 66
  4. 1

Remainders Divisibility

Find the minimum integral value of n such that the division 55n/124 leaves no remainder

  1. 124
  2. 123
  3. 31
  4. 62

Remainders Divisibility

Let k be a positive integer such that k+4 is divisible by 7. Then the smallest positive integer n, greater than 2, such that k+2n is divisible by 7 equals

  1. 7
  2. 5
  3. 9
  4. 3

Remainders

Let N = 1421 × 1423 × 1425. What is the remainder when N is divided by 12?

  1. 0
  2. 9
  3. 6
  4. 3

Remainders

On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5?

  1. 0
  2. 1
  3. 2
  4. 4

Remainders

What is the sum of all two-digit numbers that give a remainder of 3 when they are divided by 7?

  1. 676
  2. 777
  3. 683
  4. 666

Remainders

The remainder obtained when a prime number greater than 6 is divided by 6 is

  1. 1 or 3
  2. 1 or 5
  3. 3 or 5
  4. 4 or 5

Remainders

The remainder when 784 is divided by 342 is

  1. 0
  2. 1
  3. 49
  4. 341

Remainders

The smallest number which when divided by 4, 6 or 7 leaves a remainder of 2, is

  1. 86
  2. 80
  3. 62
  4. 44

Remainders

What is the remainder when 496 is divided by 6?

  1. 0
  2. 2
  3. 3
  4. 4

Remainders

If x = (163 + 173 + 183 + 193), then x divided by 70 leaves a remainder of

  1. 0
  2. 1
  3. 35
  4. 69

Remainders LCM HCF

Which is the least number that must be subtracted from 1856, so that the remainder when divided by 7, 12, and 16 is 4.

  1. 137
  2. 140
  3. 172
  4. 1361

LCM HCF

What is the greatest number which exactly divides 110, 154 and 242?

LCM HCF

What is the highest 3 digit number which is exactly divisible by 3, 5, 6 and 7?

Interests

A man earns x% on the first Rs. 2,000 and y% on the rest of his income. If he earns Rs. 700 from income of Rs. 4,000 and Rs. 900 from if his income is Rs. 5,000, find x%.

  1. 10%
  2. 15%
  3. 20%
  4. 25%

Interests

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

  1. 4 years
  2. 4.5 years
  3. 5 years
  4. 5.5 years

Interests

A certain sum of money invested at some rate of simple interest triple itself in 4 years. In how many years the principal will become 9 times of itself at the same rate?

Quant Sets

In a locality, two-thirds of the people have cable TV, one-fifth have VCR, and one-tenth have both. What is the fraction of people having either cable TV or VCR?

  1. 23/30
  2. 2/3
  3. 17/30
  4. 19/30

Quant Sets

In a certain village, 22% of the families own agricultural land, 18% own a mobile phone and 1600 families own both agricultural land and a mobile phone. If 68% of the families neither own agricultural land nor a mobile phone, then the total number of families living in the village is

  1. 20000
  2. 10000
  3. 8000
  4. 5000

Quant PnC

A five digit number is formed using digits 1, 3, 5, 7 and 9 without repeating any one of them. What is the sum of all such possible numbers?

  1. 6666666
  2. 6666600
  3. 6666660
  4. 6666000

Quant PnC

A man has 9 friends: 4 boys and 5 girls. In how many ways can he invite them, if there have to be exactly 3 girls in the invitees?

  1. 80
  2. 160
  3. 200
  4. 320

Quant PnC

Consider the five points comprising of the vertices of a square and the intersection point of its diagonals. How many triangles can be formed using these points?

  1. 4
  2. 6
  3. 8
  4. 10

Quant PnC

Boxes numbered 1, 2, 3, 4 and 5 are kept in a row, and they which are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. Then how many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects?

  1. 8
  2. 10
  3. 15
  4. 22

Quant PnC

How many five-digit numbers can be formed using the digits 2, 3, 8, 7, 5 exactly once such that the number is divisible by 125?

  1. 0
  2. 1
  3. 3
  4. 4

Quant PnC

In a six-node network, two nodes are connected to all the other nodes. Of the remaining four, each is connected to four nodes. What is the total number of links in the network?

  1. 7
  2. 13
  3. 15
  4. 26

Quant PnC

In how many ways can eight directors, the vice chairman and chairman of a firm be seated at a round table, if the chairman has to sit between the the vice chairman and a director?

  1. 9! × 2
  2. 2 × 7!
  3. 2 × 8!
  4. 2 × 6!

Quant PnC

Let S be the set of five-digit numbers formed by digits 1, 2, 3, 4 and 5, using each digit exactly once such that exactly two odd position are occupied by odd digits. What is the sum of the digits in the rightmost position of the numbers in S?

  1. 192
  2. 216
  3. 228
  4. 294

Quant PnC

Ten points are marked on a straight-line and 11 points are marked on another straight-line. How many triangles can be constructed with vertices from among the above points?

  1. 495
  2. 550
  3. 1045
  4. 2475

Quant PnC

There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?

  1. 144
  2. 180
  3. 192
  4. 360

Quant PnC

What is the number of distinct terms in the expansion of (a + b + c)20?

  1. 210
  2. 231
  3. 242
  4. 253

Quant PnC

During the essay writing stage of MBA admission process in a reputed B-School, each group consists of 10 students. In one such group, two students are batch mates from the same IIT department. Assuming that the students are sitting in a row, the number of ways in which the students can sit so that the two batch mates are not sitting next to each other, is

  1. 3540340
  2. 2874590
  3. 2903040
  4. None of the above

Quant PnC

In the board meeting of a FMCG Company, everybody present in the meeting shakes hand with everybody else. If the total number of handshakes is 78, the number of members who attended the board meeting is

  1. 7
  2. 9
  3. 11
  4. 13

Quant Probability

Ramesh plans to order a birthday gift for his friend from an online retailer. However, the birthday coincides with the festival season during which there is a huge demand for buying online goods and hence deliveries are often delayed. He estimates that the probability of receiving the gift, in time, from the retailers A, B, C and D would be 0.6, 0.8, 0.9 and 0.5 respectively.

Playing safe, he orders from all four retailers simultaneously. What would be the probability that his friend would receive the gift in time?

  1. 0.004
  2. 0.006
  3. 0.216
  4. 0.994
  5. 0.996

Quant Probability Quant PnC

If a 4 digit number is formed with digits 1, 2, 3 and 5. What is the probability that the number is divisible by 25, if repetition of digits is not allowed?

  1. 1/12
  2. 1/6
  3. 1/8
  4. 1/4

Quant Probability

An unbiased dice is thrown. What is the probability of getting

  • (i) an even number
  • (ii) a multiple of 3
  • (iii) an even number or a multiple of 3
  • (iv) an even number and a multiple of 3

Quant Probability

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is:

  • (i) an ace
  • (ii) red
  • (iii) either red or king
  • (iv) red and a king

Quant Probability

There are 4 red & 5 green balls in bag A and 5 red & 6 green balls in bag B. If a bag is selected at random and a ball is selected from that, what is the probability that it is red?

Quant Probability

The internal evaluation for Economics course in an Engineering programme is based on the score of four quizzes. Rahul has secured 70, 90 and 80 in the first three quizzes. The fourth quiz has ten True-False type questions, each carrying 10 marks. What is the probability that Rahul’s average internal marks for the Economics course is more than 80, given that he decides to guess randomly on the final quiz?

  1. 12/1024
  2. 11/1024
  3. 11/256
  4. 12/256

Quant Probability

A dice is rolled twice. What is the probability that the number in the second roll will be higher than that in the first?

  1. 5/36
  2. 8/36
  3. 15/36
  4. 21/36
  5. None of the above