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CAT 2022 Slot 1: Past Year Question Paper - CAT MCQ


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66 Questions MCQ Test CAT Mock Test Series 2024 - CAT 2022 Slot 1: Past Year Question Paper

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CAT 2022 Slot 1: Past Year Question Paper - Question 1

All of the following statements, if false, could be seen as being in accordance with the passage, EXCEPT:

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 1

For our convenience, we need to reword this question. All of the following, if false, could be seen as being in accordance with the passage All of the following, if true, could be seen as contradicting the ideas given in the passage. So, first, we should pick the choices that are contradicting the arguments given in the passage. But since it is an except question, the right answer will be the one that is not contradicting the passage. The passage says “…this has continued down into more “civilized” times”. This statement contradicts 4. The second last paragraph contradicts option 3. Option 1 is correct, as can be seen from the first sentence of the last paragraph. The second part of option 2 seems to be a little incorrect ‘the source and exact nature of the terror remained vague’ is what the passage says. It means mankind understood the horror they inspired but they were not clear about the source and the nature of that horror. Options 1 and 2 both seem to be correct as per the passage, though there is some distortion in the way option 2 is worded. It is for this reason option 1 has been given as the right answer.

CAT 2022 Slot 1: Past Year Question Paper - Question 2

Which one of the following observations is a valid conclusion to draw from the statement, “From out of the primal darkness of Mankind’s earliest years, come whispers of eerie creatures, not quite alive (or alive in a way which we can understand), yet not quite dead either.”?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 2

The quoted statement does not say that literally there were eerie creatures… it is the belief of mankind that is being highlighted in the quoted text. From primal darkness means from remote past something has been passed down to you. What that thing can be? It is only beliefs and stories that are passed down from generation to generation. It is not that literally there were such creatures. It is for this reason options 1, 2, and 4 go out. 3 is the best choice.

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CAT 2022 Slot 1: Past Year Question Paper - Question 3

Which one of the following statements best describes what the passage is about?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 3

This is a very easy question to answer. By using the word ‘shamans’, option 4 becomes too specific and misses the broader idea of the passage. It goes out. Option 3 looks good because theories of the undead is the chief concern of the passage and this evolution has been discussed, keeping the time reference from the ancient past to the age of Enlightenment. Option 2 does not even mention the word ‘undead’, instead of that it uses the word ‘primitive thinking’. ‘comprehending their environment’, a phrase in option 1, is completely out of context, too broad and fails to capture the keyword ‘theories of the undead’.

CAT 2022 Slot 1: Past Year Question Paper - Question 4

“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 - Question 4

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 - Question 5

Which one of the following scenarios is unlikely to follow from the arguments in the passage?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 5

The passage says that in the 17th century in the West, interventions were made in excavated artworks. So, option A follows from the arguments of the passage. Option C is also about interventions in excavated artworks. Option C, however, implies that whether or not interventions were made was dependent on the religious worldview of the artist. The passage does not say so. So, option C does not follow from the given arguments. Based on the last paragraph, options B and D can be inferred.

CAT 2022 Slot 1: Past Year Question Paper - Question 6

The value that the modern West assigns to “an unassailable original” has resulted in all of the following EXCEPT:

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 6

An "unassailable" original implies the original is inviolable. So, the value that the modern West assigns to an unassailable original clearly discourages them from making interventions in ancient art. It also discourages them from simultaneous displays of multiple copies of a painting, as copies are not considered to be of value (refer to the first paragraph). From the example of the cathedral of Freiburg Minster, it can also be inferred that the idea of an unassailable original provides those who restore the original with constant work. So, options A, C and D follow from the Western idea of an unassailable original.

Now, the passage does say that "Asians have far fewer scruples about cloning than Europeans". So, the idea of an unassailable original does make more Europeans think of cloning as something that is morally wrong as compared to Asians. But based on the given information, nothing can be said about human cloning being actually carried out or otherwise. So, option B cannot be inferred from the given passage.

CAT 2022 Slot 1: Past Year Question Paper - Question 7

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 - Question 7

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.

CAT 2022 Slot 1: Past Year Question Paper - Question 8

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 - Question 8

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 - Question 9

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

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 9

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 - Question 10

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 - Question 10

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 - Question 11

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 - Question 11

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 - Question 12

All of the following claims can be inferred from the passage, EXCEPT:

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 12

It is very difficult to justify option 4 because in the passage there is not ‘cost factor’ discussed anywhere. In the first paragraph we have evidence for option 3. Thus, option 3 can be inferred. The passage (second last paragraph) says ‘parental authority represents the interest of childhood’, suggesting that it does not go beyond childhood, and is not a permanent aspect of human nature. Towards the end of the third paragraph, we have evidence for option 1. Thus, 4 is the best choice as there is no evidence for it anywhere in the passage.

CAT 2022 Slot 1: Past Year Question Paper - Question 13

Which one of the following statements, if false, could be seen as contradicting the facts/arguments in the passage?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 13

When the question says: which of the following, if false, could be seen as contradicting the arguments, it simply means: which of the following, if true, could be seen as supporting the arguments of the passage. They are one and the same thing and to make things easier, we should replace ‘if false’ with ‘if true’, and replace ‘contradicting/weakening’, with ‘supporting/strengthening’. This makes question quite manageable. In this question, we have to pick a choice that supports the passage. Option 1 contradicts what the passage says about Buddhism and positive effects of meditation. Option goes out (because we are looking for the statement that supports the facts given in the passage). We do not have any evidence of Greek philosopher Zeno surviving until AD 300. Option 2 goes out. Choosing a reasoned, unemotional response is a part of the second movement, not the first. By elimination, option 4 is the best choice, but many of you might find evidence that contradicts option 4. There is a difference. As per Epicurean view “people should enjoy simple pleasures, such as good conversation, friendship, food, and wine, but not be indulgent in these pursuits”. Enjoying and indulging are two different things. Epicureans are against indulging, not enjoying. Thus 4 is the best answer because it is in sync with what is given in the passage.

CAT 2022 Slot 1: Past Year Question Paper - Question 14

“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 - Question 14

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 - Question 15

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 - Question 15

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 - Question 16

Which one of the following statements would be an accurate inference from the example of Marcus Aurelius?

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 16

This is a question of moderate difficulty. While discussing the second movement behaviors (in the first half of the passage), the author says “…continuing to lead the Romans in a way that Marcus Aurelius believed best benefited them….’ It is a leader who leads, and by using the phrase ‘continuing to lead’, the author suggests that this is something he did and in reality, would have continued to do, even in the face of the hypothetical scenario that he has considered at the start of the passage. Therefore, option 1 can be inferred. The others cannot. Option 2 is not the right choice because it is a hypothetical situation that the author has himself created to explain to us the first movement and second movement behaviors.

CAT 2022 Slot 1: Past Year Question Paper - Question 17

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 - Question 17

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 - Question 18

The four sentences (labelled 1, 2, 3 and 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. Some company leaders are basing their decisions on locating offices to foster innovation and growth, as their best-performing inventors suffered the greatest productivity losses when their commutes grew longer.
  2. Shorter commutes support innovation by giving employees more time in the office and greater opportunities for in-person collaboration, while removing the physical strain of a long commute.
  3. This is not always the case: remote work does not automatically lead to greater creativity and productivity as office water-cooler conversations are also very important for innovation.
  4. Some see the link between long commutes and productivity as support for work-from-home scenarios, as many workers have grown accustomed to their commute-free arrangements during the pandemic.
Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 18

The given set of sentences underlines the relationship between commuting and productivity and how it can impact innovation. The idea is that shorter commutes can support innovation by giving employees more time in the office and opportunities for in-person collaboration, while longer commutes can be physically draining and can lead to decreased productivity. This correlation is first highlighted in statement 2, which sets the context for subsequent discussion. We note that statements 4 and 3 form a logical block since 4 presents an idea [work-from-home scenarios to improve productivity] and 3 extends on it [why the idea in 4 might not be effective]. The marker word 'some' in 4 helps us link it with statement 1, which discusses the opinions of "some company leaders." So 1 puts forth the belief of one group of company leaders, and 4 presents us with the opinion held by a few other company leaders. This allows us to form the logical block: [1-4-3]. We can place 2 at the beginning of this structure to obtain a coherent paragraph. Hence, the correct answer is 2143.

CAT 2022 Slot 1: Past Year Question Paper - Question 19

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: Easing the anxiety and pressure of having a “big day” is part of the appeal for many couples who marry in secret.
Paragraph: Wedding season is upon us and – after two years of Covid chaos that saw nuptials scaled back– you may think the temptation would be to go all out. ____(1) ____. But instead of expanding the guest list, many couples are opting to have entirely secret ceremonies. With Covid case numbers remaining high and the cost of living crisis meaning that many couples are feeling the pinch, it’s no wonder that some are less than eager to send out invites. ____(2) ____. Plus, it can’t hurt that in celebrity circles getting married in secret is all the rage. ____ (3) ____. “I would definitely say that secret weddings are becoming more common,” says Landis Bejar, the founder of a therapy practice, which specialises in helping brides and grooms manage wedding stress. “People are looking for ways to get out of the spotlight and avoid the pomp and circumstance of weddings. ____ (4) ____. They just want to get to the part where they are married.”

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 19

Consider option 1. The transition of ideas from the previous sentence to the next is smooth here. Despite the Covid chaos pointing to a temptation to go all out, wedding lists are not expanding and couples are having secret ceremonies instead. So, we rule out this option.
The missing line explains why couples want to marry in secret. If you place this sentence in option 2, it fits right in with the idea in the previous sentence and transitions well into the next sentence, which gives one more reason why couples marry in secret. Also the 'anxiety' mentioned here relates to couples 'feeling the pinch', which the previous sentence refers to.
If the missing sentence is placed in option 3, it would follow a sentence which begins with 'plus'. The transition from celebrities marrying in secret to easing the anxiety and pressure of having a "big day" is not smooth.
The missing sentence does not fit in well at option 4. There is already a smooth transition of ideas from people wanting to avoid the spotlight and pomp to them wanting to get to the part where they are married.
So, option 2 is the best place to put the missing sentence.

CAT 2022 Slot 1: Past Year Question Paper - Question 20

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
All that we think we know about how life hangs together is really some kind of illusion that we have perpetrated on ourselves because of our limited vision. What appear to be inanimate objects such as stones turn out not only to be alive in the same way that we are, but also in many infinitesimal ways to be affected by stimuli just as humans are. The distinction between animate and inanimate simply cannot be made when you enter the world of quantum mechanics and try to determine how those apparent subatomic particles, of which you and everything else in our universe is composed, are all tied together. The point is that physics and metaphysics show there is a pattern to the universe that goes beyond our capacity to grasp it with our brains.

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 20

The passage is about the limitations of our understanding of the universe and how it is connected. It suggests that our understanding of the distinction between animate and inanimate objects may be flawed because of our limited perspective, and that quantum mechanics reveals a different understanding of this distinction; it also suggests that there may be a pattern to the universe that we cannot fully grasp with our brains. Option D correctly captures these points.

Options A and B are incorrect because the passage does not state that the effect of stimuli is similar in inanimate objects compared to living beings or mention astigmatism or an erroneous view of reality. Option C is not understood since the passage does not suggest that inanimate objects are sentient or cognizant; it only highlights that the distinction between animate and inanimate objects disappears at the quantum scale.

Hence, Option D is the correct choice. 

CAT 2022 Slot 1: Past Year Question Paper - Question 21

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 - Question 21

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. 

CAT 2022 Slot 1: Past Year Question Paper - Question 22

The four sentences (labelled 1, 2, 3 and 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. Fish skin collagen has excellent thermo-stability and tensile strength making it ideal for use as bandage that adheres to the skin and adjusts to body movements.
  2. Collagen, one of the main structural proteins in connective tissues in the human body, is well known for promoting skin regeneration.
  3. Fish skin swims in here as diseases and bacteria that affect fish are different from most human pathogens.
  4. The risk of introducing disease agents into other species through the use of pig and cow collagen proteins for wound healing has inhibited its broader applications in the medical field.
Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 22

A brief reading of the sentences suggests that the paragraph is about the applications of a structural protein called Collagen. Sentence 2 introduces the paragraph by defining Collagen. 2-4 is an obvious link, as sentence 2 ends by stating that Collagen promotes skin regeneration,  and sentence 4 explains why it is not widely used in the medical field despite this. Sentence 3 extends the idea given in sentence 4 by contrasting the bacteria affecting fish skins with human pathogens. Sentence 1 follows sentence 3 by providing the applications of fish skin collagen.

Thus, the correct order will be 2-4-3-1.

CAT 2022 Slot 1: Past Year Question Paper - Question 23

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
Petitioning is an expeditious democratic tradition, used frequently in prior centuries, by which citizens can bring issues directly to governments. As expressions of collective voice, they support procedural democracy by shaping agendas. They can also recruit citizens to causes, give voice to the voteless, and apply the discipline of rhetorical argument that clarifies a point of view. By contrast, elections are limited in several respects: they involve only a few candidates, and thus fall far short of a representative democracy. Further, voters’ choices are not specific to particular policies or laws, and elections are episodic, whereas the voice of the people needs to be heard and integrated constantly into democratic government.

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 23

This question is a little difficult, as it is not easy for us to arrive at the answer. The passage treats petitioning, as an expression of collective voice, as something that is supports procedural democracy (read the second sentence of the paragraph) . Option 1 goes out because it says ‘political petitions give greater control to citizens to shape democratic agendas.’ The point of greater control has not been discussed in the passage. Option 2 has the right focus and the right words. It says that petitioning supplements the electoral process by enabling ongoing engagement with the government. 2 is the best choice. Option 3 also goes out because it says it would be better if we relied more on petitioning rather than holding periodic elections. 4 speaks something that is diametrically opposite to what is given in the passage.

CAT 2022 Slot 1: Past Year Question Paper - Question 24

The four sentences (labelled 1, 2, 3 and 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. The creative element in product design has become of paramount importance as it is one of the few ways a firm or industry can sustain a competitive advantage over its rivals.
2. In fact, the creative element in the value of world industry would be larger still, if we added the contribution of the creative element in other industries, such as the design of tech accessories.
3. The creative industry is receiving a lot of attention today as its growth rate is faster than that of the world economy as a whole.
4. It is for this reason that today’s trade issues are increasingly involving intellectual property, as Western countries have an interest in protecting their revenues along with freeing trade in non-tangibles.

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 24

This is a question of moderate difficulty. There is no doubt that sentence 3 is the best start for the paragraph. After 3 we can have 1 or 2 as both talk about the creative element. So, first we talk about the creative industry, then we talk about the creative element. But if we look at 4 we get a better idea of the right sequence. 4 says ‘it is for this reason that today’s trade issues are increasingly involving intellectual property rights’. Why would companies want intellectual property? The answer is because they want competitive advantage over their rivals. Thus 14 form a pair. The right sequence should be 3214. 2 should come after 3 because we should not break the 31 pair and not keep 2 at the end. Its best place is after 3.

CAT 2022 Slot 1: Past Year Question Paper - Question 25

Let a and b be natural numbers. If a2 + ab + a = 14 and b2 + ab + b = 28, then (2a + b) equals

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 25


Substituting in (1), we get

Given, a and b are natural numbers.

Therefore, a = 2 and b = 4

2a + b = 2(2) + 4 = 8

The answer is option C.

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper - Question 26

For any real number x, let [x] be the largest Integer less than or equal to x. If  them N is


Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 26

It is given,

For n = 1 to n = 19, value of function is zero.

For n = 20 to n = 44, value of function will be 1.

44 = 20 + n - 1

n = 25 which is equal to given value.

This implies N = 44

CAT 2022 Slot 1: Past Year Question Paper - Question 27

Trains A and B start traveling at the same time towards each other with constant speeds from stations X and Y, respectively. Train A reaches station Y in 10 minutes while train B takes 9 minutes to reach station X after meeting train A. Then the total time taken, in minutes, by train B to travel from station Y to station X is

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 27


M - First meeting point

Let the speeds of trains A and B be 'a' and 'b', respectively.

The total time taken by train B to travel from station Y to station X is 15 minutes.

The answer is option C

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper - Question 28

A trapezium ABCD has side AD parallel to BC, ∠BAD = 90°, BC = 3 cm and AD = 8 cm. If the perimeter of this trapezium is 36 cm, then its area, in sq. cm, is


Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 28


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

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 - Question 29

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 - Question 30

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 - Question 30

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 - Question 31

A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, then the ratio of lemon juice and sugar syrup in the new mixture is

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 31

Lemon juice : sugar syrup in the mixture is 1:1, i.e. 50% Lemon juice and 50% sugar syrup.

In sugar syrup, 100% is sugar syrup.

These two are mixed in the ratio 1:3.

CAT 2022 Slot 1: Past Year Question Paper - Question 32

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 - Question 32

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 - Question 33

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 - Question 33

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 - Question 34

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 - Question 34

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 - Question 35

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 - Question 35

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 - Question 36

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 - Question 36

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 - Question 37

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 - Question 37

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 - Question 38

The largest real value of a for which the equation |X + a| + |x − 1| = 2 has an infinite number of solutions for x is

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 38

In the question, it is given that the equation ∣x + a∣ + ∣x − 1∣ = 2 has an infinite number of solutions for any value of x. This is possible when x in |x+a| and x in |x-1| cancels out.

Case 1:

x + a < 0, x - 1 ≥ ≥  0

- a - x + x - 1 = 2

a = -3

Case 2:

x + a ≥ ≥  0 and x - 1 < 0

x + a - x + 1 = 2

a = 1

Largest value of a is 1.

CAT 2022 Slot 1: Past Year Question Paper - Question 39

All the vertices of a rectangle lie on a circle of radius R. If the perimeter of the rectangle is P, then the area of the rectangle is

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 39


CAT 2022 Slot 1: Past Year Question Paper - Question 40

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 - Question 40

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 - Question 41

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 - Question 41

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 - Question 42

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 - Question 42

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 - Question 43

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 - Question 43

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 - Question 44

In a class of 100 students, 73 like coffee, 80 like tea and 52 like lemonade. It may be possible that some students do not like any of these three drinks. Then the difference between the maximum and minimum possible number of students who like all the three drinks is

Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 44

Let n, s, d and t be the number of students who likes none of the drinks, exactly one drink, exactly 2 drinks and all three drinks, respectively.

It is given, 

n + s + d + t = 100 ...... (1)

s + 2d + 3t = 73 + 80 + 52

s + 2d + 3t = 205 ...... (2)

(2)-(1), we get

d + 2t - n = 105

Maximum value t can take is 52, i.e. t = 52, d = 1 and n = 0

Minimum value t can take is 5, i.e. t = 5, d = 95 and n = 0 (This also satisfies equation (1))

Difference = 52 - 5 = 47

CAT 2022 Slot 1: Past Year Question Paper - Question 45

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 - Question 45

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

It is given,

60x = 36y

5x = 3y

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper - Question 46

In a village, the ratio of number of males to females is 5 : 4. The ratio of number of literate males to literate females is 2 : 3. The ratio of the number of illiterate males to illiterate females is 4 : 3. If 3600 males in the village are literate, then the total number of females in the village is


Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 46

In the question, it is given that the ratio of number of literate males to literate females is 2 : 3.

Given, the number of literate males = 3600

Males : Females = 5 : 4

Let the number of males be 5y and the number of females be 4y

Illiterate males = 5y - 3600

Illiterate females = 4y - 5400
It is given,

15y - 10800 = 16y - 21600

y = 10800

Number of females = 4y = 4*10800 = 43200

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper - Question 47

How many tokens did Qahira receive?


Detailed Solution for CAT 2022 Slot 1: Past Year Question Paper - Question 47

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 - Question 48

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

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper - Question 49

How many tokens did Chhaya award?


*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper - Question 50

How many tokens did Smera receive?


CAT 2022 Slot 1: Past Year Question Paper - Question 51

Which of the following could be the amount of funding that Tantra received?
(a) Rs. 66,000
(b) Rs. 165,000

CAT 2022 Slot 1: Past Year Question Paper - Question 52

If Hari is ready to board a train at 8:05 am from station M, then when is the earliest that he can reach station N?

CAT 2022 Slot 1: Past Year Question Paper - Question 53

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 - Question 54

Haripriya is expected to reach station S late. What is the latest time by which she must be ready to board at station S if she must reach station B before 1 am via station R?

*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper - Question 55

What is the minimum number of trains that are required to provide the service on the AB line (considering both north and south directions)?


*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper - Question 56

What is the minimum number of trains that are required to provide the service in this city?


*Answer can only contain numeric values
CAT 2022 Slot 1: Past Year Question Paper - Question 57

How many boys are there in the class?


CAT 2022 Slot 1: Past Year Question Paper - Question 58

Which of the following can be determined from the given information?
I. The number of boys who are interested in attending a 1-day event and are neither dancers nor singers.
II. The number of female dancers who are interested in attending a 1-day event.

CAT 2022 Slot 1: Past Year Question Paper - Question 59

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

CAT 2022 Slot 1: Past Year Question Paper - Question 60

What BEST can be concluded about the number of male dancers who are interested in attending a 1-day event?

CAT 2022 Slot 1: Past Year Question Paper - Question 61

How many female dancers are interested in attending a 2-day event?

CAT 2022 Slot 1: Past Year Question Paper - Question 62

How many goals were scored in Match 7?

CAT 2022 Slot 1: Past Year Question Paper - Question 63

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 - Question 64

Which of the following statement(s) is/are true?
Statement-1: Amla and Sarita never scored goals in the same match.
Statement-2: Harita and Sarita never scored goals in the same match.

CAT 2022 Slot 1: Past Year Question Paper - Question 65

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.

CAT 2022 Slot 1: Past Year Question Paper - Question 66

If Harita scored goals in one more match as compared to Sarita, which of the following statement(s) is/are necessarily true?
Statement-1: Amla scored goals in consecutive matches.
Statement-2: Sarita scored goals in consecutive matches.

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