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CAT 2022 Slot 1: Past Year Question Paper (November 4) - CAT MCQ


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30 Questions MCQ Test - CAT 2022 Slot 1: Past Year Question Paper (November 4)

CAT 2022 Slot 1: Past Year Question Paper (November 4) for CAT 2024 is part of CAT preparation. The CAT 2022 Slot 1: Past Year Question Paper (November 4) questions and answers have been prepared according to the CAT exam syllabus.The CAT 2022 Slot 1: Past Year Question Paper (November 4) MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for CAT 2022 Slot 1: Past Year Question Paper (November 4) below.
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CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 1

“In order to confirm their abnormal status, many of the Undead were often accorded attributes, which defied the natural order of things . . .” Which one of the following best expresses the claim made in this statement?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 1

Option 3 and 4 can be an implication but not a claim that the statement is trying to make. A claim means something that you find to be true though you may not have very strong evidence in support that of that claim. Option 1 looks good but by using the word ‘divine’ it makes the claim very specific. The passage nowhere says that the undead were accorded attributes of divine beings. It could have been either divine or terrifying. Both the possibilities are there. But since they defied the natural order of things, they were abnormal (either divine or terrifying). Thus, option 2 is correct and the best choice.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 2

Which one of the following statements does not correctly express the similarity between the Ise Grand Shrine and the cathedral of Freiburg Minster?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 2

According to the passage, the Ise Shrine, unlike the Freiburg Minster, is not continually undergoing restoration, but is completely rebuilt from scratch every 20 years.

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CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 3

Based on the passage, which one of the following copies would a Chinese museum be unlikely to consider as having less value than the original?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 3

According to the passage, for the Chinese, Fuzhipin or exact reproductions of the original are equal in value to the original. Among the given options, only option A is an exact reproduction of the original. A photograph or a miniature is not an exact copy.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 4

Which one of the following statements contradicts the arguments of the passage?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 4

This is a difficult question to answer because we have to pick the option that contradicts the arguments of the passage. We can either go by selection or by elimination. The process of elimination should be followed only when we have time and the question is difficult. The process of selection helps us arrive at the answer confidently and in less time. The first two sentences of second paragraph suggests that option 1 is in sync with the passage. From those two sentences, we can say that even option 3 is in sync with the passage. Option 4 is weird; it makes no sense in the way it is worded: masses are organized in patterns set by Foucault’s prisons and Habermas’ public sphere. One wonders whether any pattern was set by Foucault and Habermas. The passage says a certain pattern prevails everywhere, whether it is Foucault’s prisons or Habermas’ public sphere. We realize that there was no pattern set by either of the two. Option 4 is wrongly worded and this can be verified from the passage. Thus option 4 can be selected as the right answer because there is evidence contrary to what is given in option 4. Many might mark option 2 but it is difficult for us to prove whether or not it is contradicting the arguments of the passage.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 5

Which one of the following statements could be inferred as supporting the arguments of the passage?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 5

Though an inference, this is a simple question to answer. Right from the start, option 1 is a recurring theme of the passage. There is no need to look beyond option 1. ‘Controlling history’, as stated in option 2, is nowhere mentioned or implied in the passage. When there is an easy and direct answer given in the choices, one should not make the mistake of disproving or eliminating the other options.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 6

Which one of the following statements best reflects the main argument of the fourth paragraph of the passage?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 6

To answer this question correctly we have to read the fourth paragraph of the passage. Fundamentally, the fourth paragraph compares laws and customs with technology, stating that they have comparable influence. Option 1 is the right answer because not unlike each other means like each other.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 7

“Through meditation and the right attitude, one allows emotions to happen to oneself (it is impossible to prevent this), but one is advised to observe the emotions without necessarily acting on them; one achieves some distance and decides what has value and what does not have value.” In the context of the passage, which one of the following is not a possible implication of the quoted statement?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 7

There are many questions in CAT RCs that can be answered just by reading the question carefully. Here too we have a question for which we need to just read the quoted text. The text says “…one allows emotions to happen to oneself…”. If the concern is emotions happening to oneself, then there is no place for out-of-body experiences. Therefore, option 3 is not a possible implication of the quoted statement. All the other choices are possible implications of the quoted statement.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 8

On the basis of the passage, which one of the following statements can be regarded as true?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 8

There is no discussion about India with reference to the stoics. Option 1 goes out. The Epicureans did not believe in controlling emotions. They rather believed in the simple pleasures of life. From the last sentence of the paragraph, we can say that option 3 is true ‘The stoic idea laid the foundation for three monotheistic religions…’. Option 3 is the best answer.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 9

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide in which blank
(option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: Having made citizens more and less knowledgeable than their predecessors, the Internet has
proved to be both a blessing and a curse.
Paragraph: Never before has a population, nearly all of whom has enjoyed at a least a secondary school education, been exposed to so much information, whether in newspapers and magazines or through YouTube, Google, and Facebook. ____(1) ____. Yet it is not clear that people today are more knowledgeable than their barely literate predecessors. Contemporary advances in technology offered more serious and inquisitive students access to realms of knowledge previously unimaginable and unavailable. ____ (2) ____. But such readily available knowledge leads many more students away from serious study, the reading of actual texts, and toward an inability to write effectively and grammatically. ____ (3) ____. It has let people choose sources that reinforce their opinions rather than encouraging them to question inherited beliefs. ____ (4) ____.

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 9

The sentence would best fit in Blank 4 because it ties together the ideas presented in the paragraph. The paragraph states that people today have access to a vast amount of information, but it is not clear if they are more knowledgeable as a result. It also mentions that the readily available knowledge can lead students away from serious study and towards an inability to write effectively. The missing sentence introduces the idea that the Internet has both positive and negative effects on knowledge and learning. It fits well in Option 4 because it connects to the idea that the Internet has let people choose sources that reinforce their opinions rather than encouraging them to question inherited beliefs, which is the final point presented in the paragraph.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 10

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
It’s not that modern historians of medieval Africa have been ignorant about contacts between Ethiopia and Europe; they just had the power dynamic reversed. The traditional narrative stressed Ethiopia as weak and in trouble in the face of aggression from external forces, so Ethiopia sought military assistance from their fellow Christians to the north. But the real story, buried in plain sight in medieval diplomatic texts, simply had not yet been put together by modern scholars. Recent research pushes scholars of medieval Europe to imagine a much more richly connected medieval world: at the beginning of the so-called Age of Exploration, there is evidence that the kings of Ethiopia were sponsoring their own missions of diplomacy, faith and commerce.

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 10

The passage touches upon the historical relationship between Ethiopia and Europe during the medieval period. The traditional narrative of this relationship has portrayed Ethiopia as weak and in need of military assistance from Europe, but recent research has revealed that this narrative is not accurate and that Ethiopia was actually a well-connected and outward-looking culture that engaged in missions of diplomacy, faith, and commerce with Europe. The passage also notes that these new findings challenge historians to re-imagine the connections between Ethiopia and Europe during this period and to consider the role of Ethiopia as a more active participant in these relationships. Option d accurately reflects the main points made in the passage [that the traditional narrative of Ethiopia's relationship with Europe is inaccurate]

Option A is incorrect because it suggests that the connections between Ethiopia and Europe were primarily military and commercial in nature, which is not stated in the passage. Similarly, Option B implies that historians had a mistaken view of Ethiopia's relationship with Europe, which is not stated in the passage. The idea in Option c - which suggests that medieval texts were biased in favour of Europe and against Africa - cannot be understood from the discussion.

Hence, Option d is the correct choice. 

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 11

How many tokens did Qahira receive?


Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 11

The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000.

∴ The product of tokes = 390, 210, 165, 77, 66

⇒ Break of tokens received
390 = 2 × 3 × 5 × 13
210 = 2 × 3 × 5 × 7
165 = 3 × 5 × 11
77 = 7 × 11
66 = 2 × 3 × 11

From (1): Fathima awarded tokens to everyone except Qahira,
∴ Fatima must have awarded token number 3 to everyone and Qahira received tokens whose product is 77.

From (1): Adhara awarded tokens to no one except Pragnyaa
∴ Adhara must have awared token 13 and Pragnyaa received tokens whose product is 390.

From (2): Rashida received the highest number of tokens that anyone received, but she did not receive one from Esther.
∴ Rashida must have received 4 tokes whose product can only be 210. Also, since Esther did not give her the token, hence Esther must have distributed token number 11.

​​​​​​​

From (3): Dhanavi awarded a token to Qahira but not to Smera.
∴ Dhanavi must have awared token number 7.

​​​​​​​

From (3): Bithi awarded a token to Smera but not to Qahira
∴ Bithi/Chhaya could have awared token 2/5 in any order.

​​​​​​​

If Bithi gives token number 2 to S/T, then Chhaya will given token number 5 to T/S and vice-a-versa. 

∴ Qahira received two tokens i.e., 7 and 11.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 12

Who among the following definitely received a token from Bithi but not from Dhanavi?

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 13

If Priya is ready to board a train at 10:25 am from station T, then when is the earliest that she can reach station S?

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 14

What fraction of the class are interested in attending a 2-day event?

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 15

How many goals were scored in Match 7?

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 16

Which of the following is the correct sequence of goals scored in matches 1, 3, 5 and 7?

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 17

Which of the following statement(s) is/are false?
Statement-1: In every match at least one player scored a goal.
Statement-2: No two players scored goals in the same number of matches.

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 18

For natural numbers x,y, and z, if xy + yz = 19 and yz + xz = 51, then the minimum possible value of xyz is


Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 18

It is given, y(x + z) = 19

y cannot be 19. 

If y = 19, x + z = 1 which is not possible when both x and z are natural numbers.

Therefore, y = 1 and x + z = 19

It is given, z(x + y) = 51

z can take values 3 and 17

Case 1:

If z = 3, y = 1 and x = 16

xyz = 3*1*16 = 48

Case 2:

If z = 17, y = 1 and x = 2

xyz = 17*1*2 = 34

Minimum value xyz can take is 34.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 19

Let a, b, c be non-zero real numbers such that b2 < 4ac, and f(x) = ax2 + bx + c. If the set S consists of all integers m such that f(m) < 0, then the set S must necessarily be

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 19

b2 < 4ac means that the discriminant is less than 0. Therefore, f(x) > 0 for all x if the coefficient of x2 is positive, and f(x)<0 for all x if the coefficient of xis negative.

We are given that f(m)<0 and m is an integer.

So the set containing values of m will either be empty if the coefficient of x2 is positive, or it will be a set of all integers if the coefficient of x2 is negative.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 20

The average of three integers is 13. When a natural number n is included, the average of these four integers remains an odd integer. The minimum possible value of n is

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 20

It is given that average of three numbers is 13.

Sum = 3*13 = 39

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 21

Amal buys 110 kg of syrup and 120 kg of juice, syrup being 20% less costly than juice, per kg. He sells 10 kg of syrup at 10% profit and 20 kg of juice at 20% profit. Mixing the remaining juice and syrup, Amal sells the mixture at ₹ 308.32 per kg and makes an overall profit of 64%. Then, Amal’s cost price for syrup, in rupees per kg, is


Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 21

Total syrup - 110 kg

Total juice - 120 kg

It is given, cost price of syrup is 20% less than the cost price of juice.

Let the cost price of juice per kg be 10CP

Cost price of syrup per kg is 8CP

10kg syrup -> cost price = 80CP

It is given, 10kg syrup is sold at 10% profit. This implies selling price = 1.1*80CP = 88CP

20kg juice -> cost price = 200CP

It is given, 20kg juice is sold at 20% profit. This implies selling price = 1.2*200CP = 240CP

It is given, Mixing the remaining juice and syrup, Amal sells the mixture at ₹ 308.32 per kg

Selling price of the remaining mixture = 308.32*200 = Rs 61664

Total S.P = 61664 + 328CP

Total C.P = 880CP + 1200CP = 2080CP

Overall profit = 64%


Solving, we get CP = 20

Cost price for syrup per kg = 8CP = 8*20 = Rs 160

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 22

For any natural number tt, suppose the sum of the first tt terms of an arithmetic progression is (n + 2n2). If the nth term of the progression is divisible by 9, then the smallest possible value of n is

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 22

It is given,

The terms are 3, 7, 11, 15, 19, 23, 27,......

27 is the first term in the series divisible by 9.

27 is the 7th term.

Therefore, the least possible value of n is 7.

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 23

Ankita buys 4 kg cashews, 14 kg peanuts and 6 kg almonds when the cost of 7 kg cashews is the same as that of 30 kg peanuts or 9 kg almonds. She mixes all the three nuts and marks a price for the mixture in order to make a profit of ₹1752. She sells 4 kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent in buying almonds is

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 23

It is given,

7C = 30P = 9A and Ankita bought 4C, 14P and 6A.

Let 7C = 30P = 9A = 630k

C = 90k, P = 21k, and A = 70k

Cost price of 4C, 14P and 6A = 4(90k)+14(21k)+6(70k) = 1074k

Marked up price = 1074k + 1752


k = 4

Money spent on buying almonds = 420k = 420*4 = Rs 1680

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 24

The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 24

Let the original number of students be 'n' whose average weight is 'x'

Let the number of students added be 'm' and the average weight will be x + 3

We need to find the value of n : m

It is given, average weight of students in a class increased by 0.6 after new students are added.

Therefore,

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 25

The number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons but no child gets an odd number of balloons, is


Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 25

Let the number of balloons each child received be 2a, 2b, 2c and 2d

2a + 2b + 2c + 2d = 20

a + b + c + d = 10

Each of them should get more than zero balloons.
Therefore, total number of ways = 

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 26

Let ABCD be a parallelogram such that the coordinates of its three vertices A, B, C are (1, 1), (3, 4) and (−2, 8), respectively. Then, the coordinates of the vertex D are

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 26

In a parallelogram, two diagonals of parallelogram bisects each other, which concludes that mid-point of both diagonals are the same.

x = -4 and y = 5

The answer is option D.

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 27

Let A be the largest positive integer that divides all the numbers of the form 3k + 4k + 5k and B be the largest positive integer that divides all the numbers of the form 4k + 3(4k) + 4k+2, where k is any positive integer. Then (A + B) equals


Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 27

A is the HCF of 3k + 4k + 5for different values of k.

For k = 1, value is 12

For k = 2, value is 50

For k = 3, value is 216

HCF is 2. Therefore, A = 2

HCF of the values is when k = 1, i.e. 5*16 = 80

Therefore, B = 80

A + B = 82

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 28

Let 0 ≤ a ≤ x ≤ 100 and f(x) = |x − a| + |x − 100| + |x − a − 50|.Then the maximum value of f(x) becomes 100 when a is equal to

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 28

x>=a, so |x-a| = x-a

x<100, so |x-100| = 100-x

f(x) = (x-a) + (100-x) + |x-a-50| =100

or, |x-a-50| = a

 

From the graph we can can see that when x=a then

|x-a-50|=a

or, a= 50

Similarly when x=a+100

|x-a-50|=a

or, a= 50

So value of a is 50 when f(x) is 100.

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 29

Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3 : 5. If the total number of persons in the queue is less than 300, then the maximum possible number of persons standing ahead of Pinky is


Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 29

Let the number of persons standing ahead and behind of Pinky be 3a and 5a.

Total number of persons = 3a + 5a + 1(including pinky) = 8a + 1

8a + 1 < 300

8a < 299

a < 37.375

Maximum value a can take is 37.

The maximum possible number of persons standing ahead of Pinky = 3a = 3*37 = 111

CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 30

Alex invested his savings in two parts. The simple interest earned on the first part at 15% per annum for 4 years is the same as the simple interest earned on the second part at 12% per annum for 3 years. Then, the percentage of his savings invested in the first part is

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper (November 4) - Question 30

Let the savings invested in first part and second part be 'x' and 'y', respectively.

It is given,

60x = 36y

5x = 3y

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