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CAT 2021 Slot 3: Past Year Question Paper - CAT MCQ


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30 Questions MCQ Test - CAT 2021 Slot 3: Past Year Question Paper

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CAT 2021 Slot 3: Past Year Question Paper - Question 1

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Starting in 1957, [Noam Chomsky] proclaimed a new doctrine: Language, that most human of all attributes, was innate. The grammatical faculty was built into the infant brain, and your average 3-year-old was not a mere apprentice in the great enterprise of absorbing English from his or her parents, but a “linguistic genius.” Since this message was couched in terms of Chomskyan theoretical linguistics, in discourse so opaque that it was nearly incomprehensible even to some scholars, many people did not hear it. Now, in a brilliant, witty and altogether satisfying book, Mr. Chomsky's colleague Steven Pinker . . . has brought Mr. Chomsky's findings to everyman. In “The Language Instinct” he has gathered persuasive data from such diverse fields as cognitive neuroscience, developmental psychology and speech therapy to make his points, and when he disagrees with Mr. Chomsky he tells you so. . . .
For Mr. Chomsky and Mr. Pinker, somewhere in the human brain there is a complex set of neural circuits that have been programmed with “super-rules” (making up what Mr. Chomsky calls “universal grammar”), and that these rules are unconscious and instinctive. A halfcentury ago, this would have been pooh-poohed as a “black box” theory, since one could not actually pinpoint this grammatical faculty in a specific part of the brain, or describe its functioning. But now things are different. Neurosurgeons [have now found that this] “black box” is situated in and around Broca’s area, on the left side of the forebrain. . . .
Unlike Mr. Chomsky, Mr. Pinker firmly places the wiring of the brain for language within the framework of Darwinian natural selection and evolution. He effectively disposes of all claims that intelligent nonhuman primates like chimps have any abilities to learn and use language. It is not that chimps lack the vocal apparatus to speak; it is just that their brains are unable to produce or use grammar. On the other hand, the “language instinct,” when it first appeared among our most distant hominid ancestors, must have given them a selective reproductive advantage over their competitors (including the ancestral chimps). . . .
So according to Mr. Pinker, the roots of language must be in the genes, but there cannot be a “grammar gene” any more than there can be a gene for the heart or any other complex body structure. This proposition will undoubtedly raise the hackles of some behavioral psychologists and anthropologists, for it apparently contradicts the liberal idea that human behavior may be changed for the better by improvements in culture and environment, and it might seem to invite the twin bugaboos of biological determinism and racism. Yet Mr.
Pinker stresses one point that should allay such fears. Even though there are 4,000 to 6,000 languages today, they are all sufficiently alike to be considered one language by an extraterrestrial observer. In other words, most of the diversity of the world’s cultures, so beloved to anthropologists, is superficial and minor compared to the similarities. Racial differences are literally only “skin deep.” The fundamental unity of humanity is the theme of Mr. Chomsky's universal grammar, and of this exciting book.

Q. Which one of the following statements best summarises the author’s position about Pinker’s book?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 1

The fundamental unity of humanity is the theme of Mr. Chomsky's universal grammar, and of this exciting book.
Throughout the passage, the author seems to support the points made by Mr Pinker. The above line also shows that the opinion of the author towards the book is positive, and the author does not think that the book is racist in any way, but promotes unity and cohesion. Option D captures this point correctly and is the answer.
So according to Mr. Pinker, the roots of language must be in the genes, but there cannot be a “grammar gene” any more than there can be a gene for the heart or any other complex body structure. This proposition will undoubtedly raise the hackles of some behavioral psychologists and anthropologists, for it apparently contradicts the liberal idea that human behavior may be changed for the better by improvements in culture and environment....
The book does not support that a complex anatomical structure like a 'voice box' plays a key role in determining language acquisition skills. Nor does it support the role of culture and environment in shaping human behaviour Options A and B are eliminated.
Option C portrays the book as racist, which is directly in contradiction with the author's opinion. C is eliminated too.

CAT 2021 Slot 3: Past Year Question Paper - Question 2

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Starting in 1957, [Noam Chomsky] proclaimed a new doctrine: Language, that most human of all attributes, was innate. The grammatical faculty was built into the infant brain, and your average 3-year-old was not a mere apprentice in the great enterprise of absorbing English from his or her parents, but a “linguistic genius.” Since this message was couched in terms of Chomskyan theoretical linguistics, in discourse so opaque that it was nearly incomprehensible even to some scholars, many people did not hear it. Now, in a brilliant, witty and altogether satisfying book, Mr. Chomsky's colleague Steven Pinker . . . has brought Mr. Chomsky's findings to everyman. In “The Language Instinct” he has gathered persuasive data from such diverse fields as cognitive neuroscience, developmental psychology and speech therapy to make his points, and when he disagrees with Mr. Chomsky he tells you so. . . .
For Mr. Chomsky and Mr. Pinker, somewhere in the human brain there is a complex set of neural circuits that have been programmed with “super-rules” (making up what Mr. Chomsky calls “universal grammar”), and that these rules are unconscious and instinctive. A halfcentury ago, this would have been pooh-poohed as a “black box” theory, since one could not actually pinpoint this grammatical faculty in a specific part of the brain, or describe its functioning. But now things are different. Neurosurgeons [have now found that this] “black box” is situated in and around Broca’s area, on the left side of the forebrain. . . .
Unlike Mr. Chomsky, Mr. Pinker firmly places the wiring of the brain for language within the framework of Darwinian natural selection and evolution. He effectively disposes of all claims that intelligent nonhuman primates like chimps have any abilities to learn and use language. It is not that chimps lack the vocal apparatus to speak; it is just that their brains are unable to produce or use grammar. On the other hand, the “language instinct,” when it first appeared among our most distant hominid ancestors, must have given them a selective reproductive advantage over their competitors (including the ancestral chimps). . . .
So according to Mr. Pinker, the roots of language must be in the genes, but there cannot be a “grammar gene” any more than there can be a gene for the heart or any other complex body structure. This proposition will undoubtedly raise the hackles of some behavioral psychologists and anthropologists, for it apparently contradicts the liberal idea that human behavior may be changed for the better by improvements in culture and environment, and it might seem to invite the twin bugaboos of biological determinism and racism. Yet Mr.
Pinker stresses one point that should allay such fears. Even though there are 4,000 to 6,000 languages today, they are all sufficiently alike to be considered one language by an extraterrestrial observer. In other words, most of the diversity of the world’s cultures, so beloved to anthropologists, is superficial and minor compared to the similarities. Racial differences are literally only “skin deep.” The fundamental unity of humanity is the theme of Mr. Chomsky's universal grammar, and of this exciting book.

Q. According to the passage, all of the following are true about the language instinct EXCEPT that:

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 2

A half-century ago, this would have been pooh-poohed as a “black box” theory, since one could not actually pinpoint this grammatical faculty in a specific part of the brain, or describe its functioning. But now things are different. Neurosurgeons [have now found that this] “black box” is situated in and around Broca’s area, on the left side of the forebrain. . . .
On the other hand, the “language instinct,” when it first appeared among our most distant hominid ancestors, must have given them a selective reproductive advantage over their competitors (including the ancestral chimps). . . .
He effectively disposes of all claims that intelligent nonhuman primates like chimps have any abilities to learn and use language.
The above excerpts provide support for Options B, C, and D respectively. Option A is in direct contradiction with Option D, and hence, is the answer.

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CAT 2021 Slot 3: Past Year Question Paper - Question 3

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Starting in 1957, [Noam Chomsky] proclaimed a new doctrine: Language, that most human of all attributes, was innate. The grammatical faculty was built into the infant brain, and your average 3-year-old was not a mere apprentice in the great enterprise of absorbing English from his or her parents, but a “linguistic genius.” Since this message was couched in terms of Chomskyan theoretical linguistics, in discourse so opaque that it was nearly incomprehensible even to some scholars, many people did not hear it. Now, in a brilliant, witty and altogether satisfying book, Mr. Chomsky's colleague Steven Pinker . . . has brought Mr. Chomsky's findings to everyman. In “The Language Instinct” he has gathered persuasive data from such diverse fields as cognitive neuroscience, developmental psychology and speech therapy to make his points, and when he disagrees with Mr. Chomsky he tells you so. . . .
For Mr. Chomsky and Mr. Pinker, somewhere in the human brain there is a complex set of neural circuits that have been programmed with “super-rules” (making up what Mr. Chomsky calls “universal grammar”), and that these rules are unconscious and instinctive. A halfcentury ago, this would have been pooh-poohed as a “black box” theory, since one could not actually pinpoint this grammatical faculty in a specific part of the brain, or describe its functioning. But now things are different. Neurosurgeons [have now found that this] “black box” is situated in and around Broca’s area, on the left side of the forebrain. . . .
Unlike Mr. Chomsky, Mr. Pinker firmly places the wiring of the brain for language within the framework of Darwinian natural selection and evolution. He effectively disposes of all claims that intelligent nonhuman primates like chimps have any abilities to learn and use language. It is not that chimps lack the vocal apparatus to speak; it is just that their brains are unable to produce or use grammar. On the other hand, the “language instinct,” when it first appeared among our most distant hominid ancestors, must have given them a selective reproductive advantage over their competitors (including the ancestral chimps). . . .
So according to Mr. Pinker, the roots of language must be in the genes, but there cannot be a “grammar gene” any more than there can be a gene for the heart or any other complex body structure. This proposition will undoubtedly raise the hackles of some behavioral psychologists and anthropologists, for it apparently contradicts the liberal idea that human behavior may be changed for the better by improvements in culture and environment, and it might seem to invite the twin bugaboos of biological determinism and racism. Yet Mr.
Pinker stresses one point that should allay such fears. Even though there are 4,000 to 6,000 languages today, they are all sufficiently alike to be considered one language by an extraterrestrial observer. In other words, most of the diversity of the world’s cultures, so beloved to anthropologists, is superficial and minor compared to the similarities. Racial differences are literally only “skin deep.” The fundamental unity of humanity is the theme of Mr. Chomsky's universal grammar, and of this exciting book.

Q. On the basis of the information in the passage, Pinker and Chomsky may disagree with each other on which one of the following points?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 3

Unlike Mr. Chomsky, Mr. Pinker firmly places the wiring of the brain for language within the framework of Darwinian natural selection and evolution.
The passage suggests that Mr. Pinker and Mr. Chomsky agree on almost all topics. However, the above line indicates that they both disagreed on the application of the Darwinian framework to explain language instinct. Where Mr. Pinker was in favour of the same, Mr.Chomsky was against. Hence, Option C is the answer.

CAT 2021 Slot 3: Past Year Question Paper - Question 4

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Starting in 1957, [Noam Chomsky] proclaimed a new doctrine: Language, that most human of all attributes, was innate. The grammatical faculty was built into the infant brain, and your average 3-year-old was not a mere apprentice in the great enterprise of absorbing English from his or her parents, but a “linguistic genius.” Since this message was couched in terms of Chomskyan theoretical linguistics, in discourse so opaque that it was nearly incomprehensible even to some scholars, many people did not hear it. Now, in a brilliant, witty and altogether satisfying book, Mr. Chomsky's colleague Steven Pinker . . . has brought Mr. Chomsky's findings to everyman. In “The Language Instinct” he has gathered persuasive data from such diverse fields as cognitive neuroscience, developmental psychology and speech therapy to make his points, and when he disagrees with Mr. Chomsky he tells you so. . . .
For Mr. Chomsky and Mr. Pinker, somewhere in the human brain there is a complex set of neural circuits that have been programmed with “super-rules” (making up what Mr. Chomsky calls “universal grammar”), and that these rules are unconscious and instinctive. A halfcentury ago, this would have been pooh-poohed as a “black box” theory, since one could not actually pinpoint this grammatical faculty in a specific part of the brain, or describe its functioning. But now things are different. Neurosurgeons [have now found that this] “black box” is situated in and around Broca’s area, on the left side of the forebrain. . . .
Unlike Mr. Chomsky, Mr. Pinker firmly places the wiring of the brain for language within the framework of Darwinian natural selection and evolution. He effectively disposes of all claims that intelligent nonhuman primates like chimps have any abilities to learn and use language. It is not that chimps lack the vocal apparatus to speak; it is just that their brains are unable to produce or use grammar. On the other hand, the “language instinct,” when it first appeared among our most distant hominid ancestors, must have given them a selective reproductive advantage over their competitors (including the ancestral chimps). . . .
So according to Mr. Pinker, the roots of language must be in the genes, but there cannot be a “grammar gene” any more than there can be a gene for the heart or any other complex body structure. This proposition will undoubtedly raise the hackles of some behavioral psychologists and anthropologists, for it apparently contradicts the liberal idea that human behavior may be changed for the better by improvements in culture and environment, and it might seem to invite the twin bugaboos of biological determinism and racism. Yet Mr.
Pinker stresses one point that should allay such fears. Even though there are 4,000 to 6,000 languages today, they are all sufficiently alike to be considered one language by an extraterrestrial observer. In other words, most of the diversity of the world’s cultures, so beloved to anthropologists, is superficial and minor compared to the similarities. Racial differences are literally only “skin deep.” The fundamental unity of humanity is the theme of Mr. Chomsky's universal grammar, and of this exciting book.

Q. From the passage, it can be inferred that all of the following are true about Pinker’s book, “The Language Instinct”, EXCEPT that Pinker:

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 4

Since this message was couched in terms of Chomskyan theoretical linguistics, in discourse so opaque that it was nearly incomprehensible even to some scholars, many people did not hear it. Now, in a brilliant, witty and altogether satisfying book, Mr.
Chomsky's colleague Steven Pinker . . . has brought Mr. Chomsky's findings to everyman.
From the above excerpt, it is clear that Mr. Pinker's style of writing is much more comprehensible to the common man. Hence, their writing styles are quite different. Also, the above excerpt mentions that the book brings Mr. Chomsky's findings to everyman, hence, it is clear that it draws heavily from the findings. Options A and D are eliminated.
Unlike Mr. Chomsky, Mr. Pinker firmly places the wiring of the brain for language within the framework of Darwinian natural selection and evolution.
The above excerpt shows that they both disagreed on a certain point. Hence, Option B is eliminated too. Option C finds no mention in the passage, hence, is the answer.

CAT 2021 Slot 3: Past Year Question Paper - Question 5

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Today we can hardly conceive of ourselves without an unconscious. Yet between 1700 and 1900, this notion developed as a genuinely original thought. The “unconscious” burst the shell of conventional language, coined as it had been to embody the fleeting ideas and the shifting conceptions of several generations until, finally, it became fixed and defined in specialized terms within the realm of medical psychology and Freudian psychoanalysis.
The vocabulary concerning the soul and the mind increased enormously in the course of the nineteenth century. The enrichments of literary and intellectual language led to an altered understanding of the meanings that underlie time-honored expressions and traditional catchwords. At the same time, once coined, powerful new ideas attracted to themselves a whole host of seemingly unrelated issues, practices, and experiences, creating a peculiar network of preoccupations that as a group had not existed before. The drawn-out attempt to approach and define the unconscious brought together the spiritualist and the psychical researcher of borderline phenomena (such as apparitions, spectral illusions, haunted houses, mediums, trance, automatic writing); the psychiatrist or alienist probing the nature of mental disease, of abnormal ideation, hallucination, delirium, melancholia, mania; the surgeon performing operations with the aid of hypnotism; the magnetizer claiming to correct the disequilibrium in the universal flow of magnetic fluids but who soon came to be regarded as a clever manipulator of the imagination; the physiologist and the physician who puzzled over sleep, dreams, sleepwalking, anesthesia, the influence of the mind on the body in health and disease; the neurologist concerned with the functions of the brain and the physiological basis of mental life; the philosopher interested in the will, the emotions, consciousness, knowledge, imagination and the creative genius; and, last but not least, the psychologist.
Significantly, most if not all of these practices (for example, hypnotism in surgery or psychological magnetism) originated in the waning years of the eighteenth century and during the early decades of the nineteenth century, as did some of the disciplines (such as psychology and psychical research). The majority of topics too were either new or assumed hitherto unknown colors. Thus, before 1790, few if any spoke, in medical terms, of the affinity between creative genius and the hallucinations of the insane . . .
Striving vaguely and independently to give expression to a latent conception, various lines of thought can be brought together by some novel term. The new concept then serves as a kind of resting place or stocktaking in the development of ideas, giving satisfaction and a stimulus for further discussion or speculation. Thus, the massive introduction of the term unconscious by Hartmann in 1869 appeared to focalize many stray thoughts, affording a temporary feeling that a crucial step had been taken forward, a comprehensive knowledge gained, a knowledge that required only further elaboration, explication, and unfolding in order to bring in a bounty of higher understanding.
Ultimately, Hartmann’s attempt at defining the unconscious proved fruitless because he extended its reach into every realm of organic and inorganic, spiritual, intellectual, and instinctive existence, severely diluting the precision and compromising the impact of the concept.

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

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 5

The passage starts by highlighting that the term 'unconscious', widely held today, came in conception not long ago. With the coining of this term, many unrelated activities/ideas found a common umbrella under which they could be categorized and also allowed them to prosper. The author then writes the following line, which gives us a clear conception of the main theme: Thus, the massive introduction of the term unconscious by Hartmann in 1869 appeared to focalize many stray thoughts, affording a temporary feeling that a crucial step had been taken forward, a comprehensive knowledge gained a knowledge that required only further elaboration, explication, and unfolding in order to bring in a bounty of higher understanding.
Thus, the passage is about the assembly of many stray thoughts under the banner of the unconscious. Option C perfectly captures this, and hence, is the answer.
The author does not primarily deal with the unconscious as a part of the mind. Nor does he focus upon the expansion of the vocabulary of the mind and the soul. Thus, Options A and B can be rejected.
'Psychical research' is not the main focus of the passage. The author says that the term allowed certain 'psychic' activities to flourish. He does not focus on the term as an object of psychical research. Hence, Option D can be eliminated too.

CAT 2021 Slot 3: Past Year Question Paper - Question 6

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Today we can hardly conceive of ourselves without an unconscious. Yet between 1700 and 1900, this notion developed as a genuinely original thought. The “unconscious” burst the shell of conventional language, coined as it had been to embody the fleeting ideas and the shifting conceptions of several generations until, finally, it became fixed and defined in specialized terms within the realm of medical psychology and Freudian psychoanalysis.
The vocabulary concerning the soul and the mind increased enormously in the course of the nineteenth century. The enrichments of literary and intellectual language led to an altered understanding of the meanings that underlie time-honored expressions and traditional catchwords. At the same time, once coined, powerful new ideas attracted to themselves a whole host of seemingly unrelated issues, practices, and experiences, creating a peculiar network of preoccupations that as a group had not existed before. The drawn-out attempt to approach and define the unconscious brought together the spiritualist and the psychical researcher of borderline phenomena (such as apparitions, spectral illusions, haunted houses, mediums, trance, automatic writing); the psychiatrist or alienist probing the nature of mental disease, of abnormal ideation, hallucination, delirium, melancholia, mania; the surgeon performing operations with the aid of hypnotism; the magnetizer claiming to correct the disequilibrium in the universal flow of magnetic fluids but who soon came to be regarded as a clever manipulator of the imagination; the physiologist and the physician who puzzled over sleep, dreams, sleepwalking, anesthesia, the influence of the mind on the body in health and disease; the neurologist concerned with the functions of the brain and the physiological basis of mental life; the philosopher interested in the will, the emotions, consciousness, knowledge, imagination and the creative genius; and, last but not least, the psychologist.
Significantly, most if not all of these practices (for example, hypnotism in surgery or psychological magnetism) originated in the waning years of the eighteenth century and during the early decades of the nineteenth century, as did some of the disciplines (such as psychology and psychical research). The majority of topics too were either new or assumed hitherto unknown colors. Thus, before 1790, few if any spoke, in medical terms, of the affinity between creative genius and the hallucinations of the insane . . .
Striving vaguely and independently to give expression to a latent conception, various lines of thought can be brought together by some novel term. The new concept then serves as a kind of resting place or stocktaking in the development of ideas, giving satisfaction and a stimulus for further discussion or speculation. Thus, the massive introduction of the term unconscious by Hartmann in 1869 appeared to focalize many stray thoughts, affording a temporary feeling that a crucial step had been taken forward, a comprehensive knowledge gained, a knowledge that required only further elaboration, explication, and unfolding in order to bring in a bounty of higher understanding.
Ultimately, Hartmann’s attempt at defining the unconscious proved fruitless because he extended its reach into every realm of organic and inorganic, spiritual, intellectual, and instinctive existence, severely diluting the precision and compromising the impact of the concept.

Q. “The enrichments of literary and intellectual language led to an altered understanding of the meanings that underlie timehonored expressions and traditional catchwords.” Which one of the following interpretations of this sentence would be closest in meaning to the original?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 6

Let us try to break the sentence down and interpret its meaning:
“The enrichments of literary and intellectual language led to an altered understanding of the meanings that underlie time-honored expressions and traditional catchwords.” In simple words |Enrichments of language| led to |change in understanding| of | time-honoured expressions|.
In the context of the passage, the line means that when the terms related to 'the unconscious' were coined, they enriched the vocabulary of the language and this, in turn, changes the meanings of many old expressions related to this term.
Option D comes the closest in capturing the meaning, and hence, is the answer.
B: The meanings of the catchwords were altered. They were not enriched. Can be eliminated.
C: The catchwords did not cause a change. Their own meaning was changed. Can be eliminated.

CAT 2021 Slot 3: Past Year Question Paper - Question 7

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Today we can hardly conceive of ourselves without an unconscious. Yet between 1700 and 1900, this notion developed as a genuinely original thought. The “unconscious” burst the shell of conventional language, coined as it had been to embody the fleeting ideas and the shifting conceptions of several generations until, finally, it became fixed and defined in specialized terms within the realm of medical psychology and Freudian psychoanalysis.
The vocabulary concerning the soul and the mind increased enormously in the course of the nineteenth century. The enrichments of literary and intellectual language led to an altered understanding of the meanings that underlie time-honored expressions and traditional catchwords. At the same time, once coined, powerful new ideas attracted to themselves a whole host of seemingly unrelated issues, practices, and experiences, creating a peculiar network of preoccupations that as a group had not existed before. The drawn-out attempt to approach and define the unconscious brought together the spiritualist and the psychical researcher of borderline phenomena (such as apparitions, spectral illusions, haunted houses, mediums, trance, automatic writing); the psychiatrist or alienist probing the nature of mental disease, of abnormal ideation, hallucination, delirium, melancholia, mania; the surgeon performing operations with the aid of hypnotism; the magnetizer claiming to correct the disequilibrium in the universal flow of magnetic fluids but who soon came to be regarded as a clever manipulator of the imagination; the physiologist and the physician who puzzled over sleep, dreams, sleepwalking, anesthesia, the influence of the mind on the body in health and disease; the neurologist concerned with the functions of the brain and the physiological basis of mental life; the philosopher interested in the will, the emotions, consciousness, knowledge, imagination and the creative genius; and, last but not least, the psychologist.
Significantly, most if not all of these practices (for example, hypnotism in surgery or psychological magnetism) originated in the waning years of the eighteenth century and during the early decades of the nineteenth century, as did some of the disciplines (such as psychology and psychical research). The majority of topics too were either new or assumed hitherto unknown colors. Thus, before 1790, few if any spoke, in medical terms, of the affinity between creative genius and the hallucinations of the insane . . .
Striving vaguely and independently to give expression to a latent conception, various lines of thought can be brought together by some novel term. The new concept then serves as a kind of resting place or stocktaking in the development of ideas, giving satisfaction and a stimulus for further discussion or speculation. Thus, the massive introduction of the term unconscious by Hartmann in 1869 appeared to focalize many stray thoughts, affording a temporary feeling that a crucial step had been taken forward, a comprehensive knowledge gained, a knowledge that required only further elaboration, explication, and unfolding in order to bring in a bounty of higher understanding.
Ultimately, Hartmann’s attempt at defining the unconscious proved fruitless because he extended its reach into every realm of organic and inorganic, spiritual, intellectual, and instinctive existence, severely diluting the precision and compromising the impact of the concept.

Q. Which one of the following sets of words is closest to mapping the main arguments of the passage?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 7

Unconscious is the primary focus of the passage. Since D does not have that as a main point, it can be eliminated. Dreams find a single, small mention as an example in the passage. Hence, Option A can be eliminated too. Insanity finds a small mention in the passage and is not a main point. Hence, Option B is incorrect.
The author initially deals with how the enrichment of vocabulary on the matter of unconscious has a deep effect and how this later became a subject of psychoanalysis. Hence, Option C is the correct answer.

CAT 2021 Slot 3: Past Year Question Paper - Question 8

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Today we can hardly conceive of ourselves without an unconscious. Yet between 1700 and 1900, this notion developed as a genuinely original thought. The “unconscious” burst the shell of conventional language, coined as it had been to embody the fleeting ideas and the shifting conceptions of several generations until, finally, it became fixed and defined in specialized terms within the realm of medical psychology and Freudian psychoanalysis.
The vocabulary concerning the soul and the mind increased enormously in the course of the nineteenth century. The enrichments of literary and intellectual language led to an altered understanding of the meanings that underlie time-honored expressions and traditional catchwords. At the same time, once coined, powerful new ideas attracted to themselves a whole host of seemingly unrelated issues, practices, and experiences, creating a peculiar network of preoccupations that as a group had not existed before. The drawn-out attempt to approach and define the unconscious brought together the spiritualist and the psychical researcher of borderline phenomena (such as apparitions, spectral illusions, haunted houses, mediums, trance, automatic writing); the psychiatrist or alienist probing the nature of mental disease, of abnormal ideation, hallucination, delirium, melancholia, mania; the surgeon performing operations with the aid of hypnotism; the magnetizer claiming to correct the disequilibrium in the universal flow of magnetic fluids but who soon came to be regarded as a clever manipulator of the imagination; the physiologist and the physician who puzzled over sleep, dreams, sleepwalking, anesthesia, the influence of the mind on the body in health and disease; the neurologist concerned with the functions of the brain and the physiological basis of mental life; the philosopher interested in the will, the emotions, consciousness, knowledge, imagination and the creative genius; and, last but not least, the psychologist.
Significantly, most if not all of these practices (for example, hypnotism in surgery or psychological magnetism) originated in the waning years of the eighteenth century and during the early decades of the nineteenth century, as did some of the disciplines (such as psychology and psychical research). The majority of topics too were either new or assumed hitherto unknown colors. Thus, before 1790, few if any spoke, in medical terms, of the affinity between creative genius and the hallucinations of the insane . . .
Striving vaguely and independently to give expression to a latent conception, various lines of thought can be brought together by some novel term. The new concept then serves as a kind of resting place or stocktaking in the development of ideas, giving satisfaction and a stimulus for further discussion or speculation. Thus, the massive introduction of the term unconscious by Hartmann in 1869 appeared to focalize many stray thoughts, affording a temporary feeling that a crucial step had been taken forward, a comprehensive knowledge gained, a knowledge that required only further elaboration, explication, and unfolding in order to bring in a bounty of higher understanding.
Ultimately, Hartmann’s attempt at defining the unconscious proved fruitless because he extended its reach into every realm of organic and inorganic, spiritual, intellectual, and instinctive existence, severely diluting the precision and compromising the impact of the concept.

Q. All of the following statements may be considered valid inferences from the passage, EXCEPT:

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 8

The “unconscious” burst the shell of conventional language, coined as it had been to embody the fleeting ideas and the shifting conceptions of several generations until, finally, it became fixed and defined in specialized terms within the realm of medical psychology and Freudian psychoanalysis.
In the passage, the author has clearly outlined the importance of linguistic developments in helping the knowledge of the field grow.
Since the option is not extreme in certainty ('may' not have happened), Option A can be inferred. Significantly, most if not all of these practices (for example, hypnotism in surgery or psychological magnetism) originated in the waning years of the eighteenth century and during the early decades of the nineteenth century, as did some of the disciplines (such as psychology and psychical research). The majority of topics too were either new or assumed hitherto unknown colors. Thus, before 1790, few if any spoke, in medical terms, of the affinity between creative genius and the hallucinations of the insane . . .
From the above excerpt, we can infer that the affinity between genius and insanity was not looked into before the 18th century. At the same time, once coined, powerful new ideas attracted to themselves a whole host of seemingly unrelated issues, practices, and experiences, creating a peculiar network of preoccupations that as a group had not existed before.
The above excerpt and the examples the author provides after this excerpt can help us infer that as the knowledge of the mind grew, unrelated activities found a common title. Option D can be inferred.
The passage does not imply anywhere that the new conceptions were able to provide new knowledge only because some fields were established. Option C is out of the scope of the passage and cannot be inferred.

CAT 2021 Slot 3: Past Year Question Paper - Question 9

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Back in the early 2000s, an awesome thing happened in the New X-Men comics. Our mutant heroes had been battling giant robots called Sentinels for years, but suddenly these mechanical overlords spawned a new threat: Nano-Sentinels! Not content to rule Earth with their metal fists, these tiny robots invaded our bodies at the microscopic level. Infected humans were slowly converted into machines, cell by cell.
Now, a new wave of extremely odd robots is making at least part of the Nano-Sentinels story come true. Using exotic fabrication materials like squishy hydrogels and elastic polymers, researchers are making autonomous devices that are often tiny and that could turn out to be more powerful than an army of Terminators. Some are 1-centimetre blobs that can skate over water. Others are flat sheets that can roll themselves into tubes, or matchstick-sized plastic coils that act as powerful muscles. No, they won’t be invading our bodies and turning us into Sentinels - which I personally find a little disappointing - but some of them could one day swim through our bloodstream to heal us. They could also clean up pollutants in water or fold themselves into different kinds of vehicles for us to drive. . . .
Unlike a traditional robot, which is made of mechanical parts, these new kinds of robots are made from molecular parts. The principle is the same: both are devices that can move around and do things independently. But a robot made from smart materials might be nothing more than a pink drop of hydrogel. Instead of gears and wires, it’s assembled from two kinds of molecules - some that love water and some that avoid it - which interact to allow the bot to skate on top of a pond.
Sometimes these materials are used to enhance more conventional robots. One team of researchers, for example, has developed a different kind of hydrogel that becomes sticky when exposed to a low-voltage zap of electricity and then stops being sticky when the electricity is switched off. This putty-like gel can be pasted right onto the feet or wheels of a robot. When the robot wants to climb a sheer wall or scoot across the ceiling, it can activate its sticky feet with a few volts. Once it is back on a flat surface again, the robot turns off the adhesive like a light switch.
Robots that are wholly or partly made of gloop aren’t the future that I was promised in science fiction. But it’s definitely the future I want.
I’m especially keen on the nanometre-scale “soft robots” that could one day swim through our bodies. Metin Sitti, a director at the Max Planck Institute for Intelligent Systems in Germany, worked with colleagues to prototype these tiny, synthetic beasts using various stretchy materials, such as simple rubber, and seeding them with magnetic microparticles. They are assembled into a finished shape by applying magnetic fields. The results look like flowers or geometric shapes made from Tinkertoy ball and stick modelling kits. They’re guided through tubes of fluid using magnets, and can even stop and cling to the sides of a tube.

Q. Which one of the following statements best captures the sense of the first paragraph?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 9

Back in the early 2000s, an awesome thing happened in the New X-Men comics. Our mutant heroes had been battling giant robots called Sentinels for years, but suddenly these mechanical overlords spawned a new threat: Nano-Sentinels! Not content to rule Earth with their metal fists, these tiny robots invaded our bodies at the microscopic level. Infected humans were slowly converted into machines, cell by cell.
The first paragraph talks about the X-men comics, in which the mutant heroes, that X-Men, has been battling giant robots called sentinels.
But these Sentinels then developed Nano-Sentinels, which could invade bodies at the microscopic level, and the heroes would now have to fight them too. Option D perfectly captures this, and hence, is the answer.
Option A is incorrect. X-men were battling the Sentinels before the invention of Nano-Sentinels. Hence, the origin of X-men is different.
Option B is incorrect. The mechanical overlords made Nano-Sentinels to convert people into machines. It has not been said that the people were converted into the mechanical lords themselves.

CAT 2021 Slot 3: Past Year Question Paper - Question 10

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Back in the early 2000s, an awesome thing happened in the New X-Men comics. Our mutant heroes had been battling giant robots called Sentinels for years, but suddenly these mechanical overlords spawned a new threat: Nano-Sentinels! Not content to rule Earth with their metal fists, these tiny robots invaded our bodies at the microscopic level. Infected humans were slowly converted into machines, cell by cell.
Now, a new wave of extremely odd robots is making at least part of the Nano-Sentinels story come true. Using exotic fabrication materials like squishy hydrogels and elastic polymers, researchers are making autonomous devices that are often tiny and that could turn out to be more powerful than an army of Terminators. Some are 1-centimetre blobs that can skate over water. Others are flat sheets that can roll themselves into tubes, or matchstick-sized plastic coils that act as powerful muscles. No, they won’t be invading our bodies and turning us into Sentinels - which I personally find a little disappointing - but some of them could one day swim through our bloodstream to heal us. They could also clean up pollutants in water or fold themselves into different kinds of vehicles for us to drive. . . .
Unlike a traditional robot, which is made of mechanical parts, these new kinds of robots are made from molecular parts. The principle is the same: both are devices that can move around and do things independently. But a robot made from smart materials might be nothing more than a pink drop of hydrogel. Instead of gears and wires, it’s assembled from two kinds of molecules - some that love water and some that avoid it - which interact to allow the bot to skate on top of a pond.
Sometimes these materials are used to enhance more conventional robots. One team of researchers, for example, has developed a different kind of hydrogel that becomes sticky when exposed to a low-voltage zap of electricity and then stops being sticky when the electricity is switched off. This putty-like gel can be pasted right onto the feet or wheels of a robot. When the robot wants to climb a sheer wall or scoot across the ceiling, it can activate its sticky feet with a few volts. Once it is back on a flat surface again, the robot turns off the adhesive like a light switch.
Robots that are wholly or partly made of gloop aren’t the future that I was promised in science fiction. But it’s definitely the future I want.
I’m especially keen on the nanometre-scale “soft robots” that could one day swim through our bodies. Metin Sitti, a director at the Max Planck Institute for Intelligent Systems in Germany, worked with colleagues to prototype these tiny, synthetic beasts using various stretchy materials, such as simple rubber, and seeding them with magnetic microparticles. They are assembled into a finished shape by applying magnetic fields. The results look like flowers or geometric shapes made from Tinkertoy ball and stick modelling kits. They’re guided through tubes of fluid using magnets, and can even stop and cling to the sides of a tube.

Q. Which one of the following scenarios, if false, could be seen as supporting the passage?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 10

We will check which option when proven false will support the passage:
A: Robots becoming a part of everyday life is neither supported nor opposed in the passage. Thus, Option A is not the answer.
B: Instead of gears and wires, it’s assembled from two kinds of molecules - some that love water and some that avoid it - which interact to allow the bot to skate on top of a pond.
Option B has been clearly mentioned in the passage. Hence, if it is proven false, it will contradict the passage. Option B is not the answer.
C: One team of researchers, for example, has developed a different kind of hydrogel that becomes sticky when exposed to a low-voltage zap of electricity and then stops being sticky when the electricity is switched off.
Option C has been mentioned in the passage. Hence, if it is proven false, it will contradict the passage. Option C is not the answer.
D: No, they won’t be invading our bodies and turning us into Sentinels...
Option D is just the opposite of what has been given in the passage. Hence, if Option D is false, it would support the passage.

CAT 2021 Slot 3: Past Year Question Paper - Question 11

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Back in the early 2000s, an awesome thing happened in the New X-Men comics. Our mutant heroes had been battling giant robots called Sentinels for years, but suddenly these mechanical overlords spawned a new threat: Nano-Sentinels! Not content to rule Earth with their metal fists, these tiny robots invaded our bodies at the microscopic level. Infected humans were slowly converted into machines, cell by cell.
Now, a new wave of extremely odd robots is making at least part of the Nano-Sentinels story come true. Using exotic fabrication materials like squishy hydrogels and elastic polymers, researchers are making autonomous devices that are often tiny and that could turn out to be more powerful than an army of Terminators. Some are 1-centimetre blobs that can skate over water. Others are flat sheets that can roll themselves into tubes, or matchstick-sized plastic coils that act as powerful muscles. No, they won’t be invading our bodies and turning us into Sentinels - which I personally find a little disappointing - but some of them could one day swim through our bloodstream to heal us. They could also clean up pollutants in water or fold themselves into different kinds of vehicles for us to drive. . . .
Unlike a traditional robot, which is made of mechanical parts, these new kinds of robots are made from molecular parts. The principle is the same: both are devices that can move around and do things independently. But a robot made from smart materials might be nothing more than a pink drop of hydrogel. Instead of gears and wires, it’s assembled from two kinds of molecules - some that love water and some that avoid it - which interact to allow the bot to skate on top of a pond.
Sometimes these materials are used to enhance more conventional robots. One team of researchers, for example, has developed a different kind of hydrogel that becomes sticky when exposed to a low-voltage zap of electricity and then stops being sticky when the electricity is switched off. This putty-like gel can be pasted right onto the feet or wheels of a robot. When the robot wants to climb a sheer wall or scoot across the ceiling, it can activate its sticky feet with a few volts. Once it is back on a flat surface again, the robot turns off the adhesive like a light switch.
Robots that are wholly or partly made of gloop aren’t the future that I was promised in science fiction. But it’s definitely the future I want.
I’m especially keen on the nanometre-scale “soft robots” that could one day swim through our bodies. Metin Sitti, a director at the Max Planck Institute for Intelligent Systems in Germany, worked with colleagues to prototype these tiny, synthetic beasts using various stretchy materials, such as simple rubber, and seeding them with magnetic microparticles. They are assembled into a finished shape by applying magnetic fields. The results look like flowers or geometric shapes made from Tinkertoy ball and stick modelling kits. They’re guided through tubes of fluid using magnets, and can even stop and cling to the sides of a tube.

Q. Which one of the following statements, if true, would be the most direct extension of the arguments in the passage?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 11

A: Sentinel robots are just fiction that is mentioned in the passage to introduce the new wave of development that has taken place. Option A is eliminated.
B: The author has introduced X-men as an example only. His arguments are not related to the creation of X-men in any way. Option B can be eliminated.
C: .....but some of them could one day swim through our bloodstream to heal us.
Throughout the passage, the author is trying to highlight the positives of the new robots. Hence, a direct extension of the argument would be the robots healing us at a microscopic level, as is hinted in the above excerpt. Option C is the answer.
D: Option D, though not entirely incorrect, is not a direct extension of the arguments presented in the passage. Unlike Option C, D has not been hinted at in the passage. Hence, it can be eliminated too.

CAT 2021 Slot 3: Past Year Question Paper - Question 12

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Back in the early 2000s, an awesome thing happened in the New X-Men comics. Our mutant heroes had been battling giant robots called Sentinels for years, but suddenly these mechanical overlords spawned a new threat: Nano-Sentinels! Not content to rule Earth with their metal fists, these tiny robots invaded our bodies at the microscopic level. Infected humans were slowly converted into machines, cell by cell.
Now, a new wave of extremely odd robots is making at least part of the Nano-Sentinels story come true. Using exotic fabrication materials like squishy hydrogels and elastic polymers, researchers are making autonomous devices that are often tiny and that could turn out to be more powerful than an army of Terminators. Some are 1-centimetre blobs that can skate over water. Others are flat sheets that can roll themselves into tubes, or matchstick-sized plastic coils that act as powerful muscles. No, they won’t be invading our bodies and turning us into Sentinels - which I personally find a little disappointing - but some of them could one day swim through our bloodstream to heal us. They could also clean up pollutants in water or fold themselves into different kinds of vehicles for us to drive. . . .
Unlike a traditional robot, which is made of mechanical parts, these new kinds of robots are made from molecular parts. The principle is the same: both are devices that can move around and do things independently. But a robot made from smart materials might be nothing more than a pink drop of hydrogel. Instead of gears and wires, it’s assembled from two kinds of molecules - some that love water and some that avoid it - which interact to allow the bot to skate on top of a pond.
Sometimes these materials are used to enhance more conventional robots. One team of researchers, for example, has developed a different kind of hydrogel that becomes sticky when exposed to a low-voltage zap of electricity and then stops being sticky when the electricity is switched off. This putty-like gel can be pasted right onto the feet or wheels of a robot. When the robot wants to climb a sheer wall or scoot across the ceiling, it can activate its sticky feet with a few volts. Once it is back on a flat surface again, the robot turns off the adhesive like a light switch.
Robots that are wholly or partly made of gloop aren’t the future that I was promised in science fiction. But it’s definitely the future I want.
I’m especially keen on the nanometre-scale “soft robots” that could one day swim through our bodies. Metin Sitti, a director at the Max Planck Institute for Intelligent Systems in Germany, worked with colleagues to prototype these tiny, synthetic beasts using various stretchy materials, such as simple rubber, and seeding them with magnetic microparticles. They are assembled into a finished shape by applying magnetic fields. The results look like flowers or geometric shapes made from Tinkertoy ball and stick modelling kits. They’re guided through tubes of fluid using magnets, and can even stop and cling to the sides of a tube.

Q. Which one of the following statements best summarises the central point of the passage?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 12

The author first introduces an arc of a comic book where nano-robots are used. He then goes on to show how that fiction is increasingly becoming reality. He then goes on to describe the various features present in today's nano-robots. Option C comes the closest in capturing this point, and hence, is the answer.
Option A is just one of the features of the modern nano-robots and is not the focus of the passage.
Hydrophilic and Hydrophobic materials are not the main point of contention here. Option B can be eliminated.
The author uses the example of X-men to introduce the development of technology today. His main contention is not the content of the comic books and how it would be affected by recent developments in technology. Option D can be eliminated too.

CAT 2021 Slot 3: Past Year Question Paper - Question 13

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Keeping time accurately comes with a price. The maximum accuracy of a clock is directly related to how much disorder, or entropy, it creates every time it ticks. Natalia Ares at the University of Oxford and her colleagues made this discovery using a tiny clock with an accuracy that can be controlled. The clock consists of a 50-nanometre-thick membrane of silicon nitride, vibrated by an electric current.
Each time the membrane moved up and down once and then returned to its original position, the researchers counted a tick, and the regularity of the spacing between the ticks represented the accuracy of the clock. The researchers found that as they increased the clock’s accuracy, the heat produced in the system grew, increasing the entropy of its surroundings by jostling nearby particles . . . “If a clock is more accurate, you are paying for it somehow,” says Ares. In this case, you pay for it by pouring more ordered energy into the clock, which is then converted into entropy. “By measuring time, we are increasing the entropy of the universe,” says Ares. The more entropy there is in the universe, the closer it may be to its eventual demise. “Maybe we should stop measuring time,” says Ares. The scale of the additional entropy is so small, though, that there is no need to worry about its effects, she says.
The increase in entropy in timekeeping may be related to the “arrow of time”, says Marcus Huber at the Austrian Academy of Sciences in Vienna, who was part of the research team. It has been suggested that the reason that time only flows forward, not in reverse, is that the total amount of entropy in the universe is constantly increasing, creating disorder that cannot be put in order again.
The relationship that the researchers found is a limit on the accuracy of a clock, so it doesn’t mean that a clock that creates the most possible entropy would be maximally accurate - hence a large, inefficient grandfather clock isn’t more precise than an atomic clock. “It’s a bit like fuel use in a car. Just because I’m using more fuel doesn’t mean that I’m going faster or further,” says Huber.
When the researchers compared their results with theoretical models developed for clocks that rely on quantum effects, they were surprised to find that the relationship between accuracy and entropy seemed to be the same for both. . . . We can’t be sure yet that these results are actually universal, though, because there are many types of clocks for which the relationship between accuracy and entropy haven’t been tested. “It’s still unclear how this principle plays out in real devices such as atomic clocks, which push the ultimate quantum limits of accuracy,” says Mark Mitchison at Trinity College Dublin in Ireland. Understanding this relationship could be helpful for designing clocks in the future, particularly those used in quantum computers and other devices where both accuracy and temperature are crucial, says Ares. This finding could also help us understand more generally how the quantum world and the classical world are similar and different in terms of thermodynamics and the passage of time.

Q. None of the following statements can be inferred from the passage EXCEPT that:

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 13

A: We cannot infer that the 'arrow of time' has not been tested for atomic clocks. Option A can be eliminated.
B: It has been given in the Option that since quantum computers place more emphasis on their clock's accuracy, they would produce more heat.
The researchers found that as they increased the clock’s accuracy, the heat produced in the system grew, increasing the entropy of its surroundings by jostling nearby particles...
The passage supports this inference. B is the answer.
C: The relationship that the researchers found is a limit on the accuracy of a clock, so it doesn’t mean that a clock that creates the most possible entropy would be maximally accurate - hence a large, inefficient grandfather clock isn’t more precise than an atomic clock .
The passage gives a specific example of an inefficient grandfather clock. We cannot infer whether all grandfather clocks are efficient or not.
D: The clock consists of a 50-nanometre-thick membrane of silicon nitride, vibrated by an electric current.
The clock uses electric current to produce vibrations and not the other way around. Option D can be eliminated.

CAT 2021 Slot 3: Past Year Question Paper - Question 14

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Keeping time accurately comes with a price. The maximum accuracy of a clock is directly related to how much disorder, or entropy, it creates every time it ticks. Natalia Ares at the University of Oxford and her colleagues made this discovery using a tiny clock with an accuracy that can be controlled. The clock consists of a 50-nanometre-thick membrane of silicon nitride, vibrated by an electric current.
Each time the membrane moved up and down once and then returned to its original position, the researchers counted a tick, and the regularity of the spacing between the ticks represented the accuracy of the clock. The researchers found that as they increased the clock’s accuracy, the heat produced in the system grew, increasing the entropy of its surroundings by jostling nearby particles . . . “If a clock is more accurate, you are paying for it somehow,” says Ares. In this case, you pay for it by pouring more ordered energy into the clock, which is then converted into entropy. “By measuring time, we are increasing the entropy of the universe,” says Ares. The more entropy there is in the universe, the closer it may be to its eventual demise. “Maybe we should stop measuring time,” says Ares. The scale of the additional entropy is so small, though, that there is no need to worry about its effects, she says.
The increase in entropy in timekeeping may be related to the “arrow of time”, says Marcus Huber at the Austrian Academy of Sciences in Vienna, who was part of the research team. It has been suggested that the reason that time only flows forward, not in reverse, is that the total amount of entropy in the universe is constantly increasing, creating disorder that cannot be put in order again.
The relationship that the researchers found is a limit on the accuracy of a clock, so it doesn’t mean that a clock that creates the most possible entropy would be maximally accurate - hence a large, inefficient grandfather clock isn’t more precise than an atomic clock. “It’s a bit like fuel use in a car. Just because I’m using more fuel doesn’t mean that I’m going faster or further,” says Huber.
When the researchers compared their results with theoretical models developed for clocks that rely on quantum effects, they were surprised to find that the relationship between accuracy and entropy seemed to be the same for both. . . . We can’t be sure yet that these results are actually universal, though, because there are many types of clocks for which the relationship between accuracy and entropy haven’t been tested. “It’s still unclear how this principle plays out in real devices such as atomic clocks, which push the ultimate quantum limits of accuracy,” says Mark Mitchison at Trinity College Dublin in Ireland. Understanding this relationship could be helpful for designing clocks in the future, particularly those used in quantum computers and other devices where both accuracy and temperature are crucial, says Ares. This finding could also help us understand more generally how the quantum world and the classical world are similar and different in terms of thermodynamics and the passage of time.

Q. The author makes all of the following arguments in the passage, EXCEPT that:

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 14

There is an evident confusion between Option B and Option C; however, the official answer key marked Option B as the correct choice.
Let us try to rationalise this decision. Options A and D can be understood from the passage: Option A follows from {...We can’t be sure yet that these results are actually universal, though, because there are many types of clocks for which the relationship between accuracy and entropy haven’t been tested... }
Option D follows from {...Understanding this relationship could be helpful for designing clocks in the future, particularly those used in quantum computers and other devices where both accuracy and temperature are crucial, says Ares... }
Option C: Pay heed to the following excerpt from the passage - {... The relationship that the researchers found is a limit on the accuracy of a clock, so it doesn’t mean that a clock that creates the most possible entropy would be maximally accurate - hence a large, inefficient grandfather clock isn’t more precise than an atomic clock. “It’s a bit like fuel use in a car. Just because I’m using more fuel doesn’t mean that I’m going faster or further,” says Huber... }
A simple correlation is being highlighted: higher accuracy means higher entropy; however, this does not necessarily imply that higher entropy translates to higher accuracy. The example of a grandfather clock is highlighted to emphasise this point: we will come across higher entropy in this case, but it does not mean that the grandfather clock is any more accurate than an atomic clock. In a way, the author tries to point out that the accuracy could very well be similar. This accuracy is not in absolute terms but in the way accuracy is defined by the author earlier in the passage. Thus, in a way, Option C matches the idea conveyed by the author
Option B: Pay heed to the following excerpt from the passage - {.. .The researchers found that as they increased the clock’s accuracy, the heat produced in the system grew, increasing the entropy of its surroundings by jostling nearby particles . . . “If a clock is more accurate, you are paying for it somehow,” says Ares. In this case, you pay for it by pouring more ordered energy into the clock, which is then converted into entropy. “By measuring time, we are increasing the entropy of the universe,” says Ares... }
The discussion about the price paid appears to be distinct from the earlier segment wherein the author states that when we push for higher accuracy, we will come across more heat. While talking about the cost at which higher accuracy is achieved, the author states that we "pour in" more 'ordered energy' and this subsequently leads to higher entropy. Hence, the focus seems to be on the connection between accuracy and entropy than between heat and its role in creating higher accuracy. We cannot conclusively infer that the "ordered energy " stated in the latter half refers to the " heat " mentioned earlier on. Thus, claiming that heat is the price we pay for generating higher accuracy might be difficult to substantiate. Hence, Option B is distorted.

CAT 2021 Slot 3: Past Year Question Paper - Question 15

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Keeping time accurately comes with a price. The maximum accuracy of a clock is directly related to how much disorder, or entropy, it creates every time it ticks. Natalia Ares at the University of Oxford and her colleagues made this discovery using a tiny clock with an accuracy that can be controlled. The clock consists of a 50-nanometre-thick membrane of silicon nitride, vibrated by an electric current.
Each time the membrane moved up and down once and then returned to its original position, the researchers counted a tick, and the regularity of the spacing between the ticks represented the accuracy of the clock. The researchers found that as they increased the clock’s accuracy, the heat produced in the system grew, increasing the entropy of its surroundings by jostling nearby particles . . . “If a clock is more accurate, you are paying for it somehow,” says Ares. In this case, you pay for it by pouring more ordered energy into the clock, which is then converted into entropy. “By measuring time, we are increasing the entropy of the universe,” says Ares. The more entropy there is in the universe, the closer it may be to its eventual demise. “Maybe we should stop measuring time,” says Ares. The scale of the additional entropy is so small, though, that there is no need to worry about its effects, she says.
The increase in entropy in timekeeping may be related to the “arrow of time”, says Marcus Huber at the Austrian Academy of Sciences in Vienna, who was part of the research team. It has been suggested that the reason that time only flows forward, not in reverse, is that the total amount of entropy in the universe is constantly increasing, creating disorder that cannot be put in order again.
The relationship that the researchers found is a limit on the accuracy of a clock, so it doesn’t mean that a clock that creates the most possible entropy would be maximally accurate - hence a large, inefficient grandfather clock isn’t more precise than an atomic clock. “It’s a bit like fuel use in a car. Just because I’m using more fuel doesn’t mean that I’m going faster or further,” says Huber.
When the researchers compared their results with theoretical models developed for clocks that rely on quantum effects, they were surprised to find that the relationship between accuracy and entropy seemed to be the same for both. . . . We can’t be sure yet that these results are actually universal, though, because there are many types of clocks for which the relationship between accuracy and entropy haven’t been tested. “It’s still unclear how this principle plays out in real devices such as atomic clocks, which push the ultimate quantum limits of accuracy,” says Mark Mitchison at Trinity College Dublin in Ireland. Understanding this relationship could be helpful for designing clocks in the future, particularly those used in quantum computers and other devices where both accuracy and temperature are crucial, says Ares. This finding could also help us understand more generally how the quantum world and the classical world are similar and different in terms of thermodynamics and the passage of time.

Q. “It’s a bit like fuel use in a car. Just because I’m using more fuel doesn’t mean that I’m going faster or further . . .” What is the purpose of this example?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 15

The relationship that the researchers found is a limit on the accuracy of a clock, so it doesn’t mean that a clock that creates the most possible entropy would be maximally accurate - hence a large, inefficient grandfather clock isn’t more precise than an atomic clock. “It’s a bit like fuel use in a car. Just because I’m using more fuel doesn’t mean that I’m going faster or further,” says Hube In the above excerpt, the author gives an example that though a large, inefficient grandfather clock would produce more entropy, it is not necessarily more precise than an atomic clock. Hence, if a clock produces more entropy, it does not mean that it would be more precise than a clock that produces less entropy. Then the mentioned statement is given as an example. If a car is going faster or further, it will definitely use more fuel. But if a car is using more fuel, then the converse is not true. It could just be possible that the mileage of the car is low. Option A comes the closest to capturing this idea, and hence, is the answer.

CAT 2021 Slot 3: Past Year Question Paper - Question 16

The passage below is accompanied by a set of questions. Choose the best answer to each question.
Keeping time accurately comes with a price. The maximum accuracy of a clock is directly related to how much disorder, or entropy, it creates every time it ticks. Natalia Ares at the University of Oxford and her colleagues made this discovery using a tiny clock with an accuracy that can be controlled. The clock consists of a 50-nanometre-thick membrane of silicon nitride, vibrated by an electric current.
Each time the membrane moved up and down once and then returned to its original position, the researchers counted a tick, and the regularity of the spacing between the ticks represented the accuracy of the clock. The researchers found that as they increased the clock’s accuracy, the heat produced in the system grew, increasing the entropy of its surroundings by jostling nearby particles . . . “If a clock is more accurate, you are paying for it somehow,” says Ares. In this case, you pay for it by pouring more ordered energy into the clock, which is then converted into entropy. “By measuring time, we are increasing the entropy of the universe,” says Ares. The more entropy there is in the universe, the closer it may be to its eventual demise. “Maybe we should stop measuring time,” says Ares. The scale of the additional entropy is so small, though, that there is no need to worry about its effects, she says.
The increase in entropy in timekeeping may be related to the “arrow of time”, says Marcus Huber at the Austrian Academy of Sciences in Vienna, who was part of the research team. It has been suggested that the reason that time only flows forward, not in reverse, is that the total amount of entropy in the universe is constantly increasing, creating disorder that cannot be put in order again.
The relationship that the researchers found is a limit on the accuracy of a clock, so it doesn’t mean that a clock that creates the most possible entropy would be maximally accurate - hence a large, inefficient grandfather clock isn’t more precise than an atomic clock. “It’s a bit like fuel use in a car. Just because I’m using more fuel doesn’t mean that I’m going faster or further,” says Huber.
When the researchers compared their results with theoretical models developed for clocks that rely on quantum effects, they were surprised to find that the relationship between accuracy and entropy seemed to be the same for both. . . . We can’t be sure yet that these results are actually universal, though, because there are many types of clocks for which the relationship between accuracy and entropy haven’t been tested. “It’s still unclear how this principle plays out in real devices such as atomic clocks, which push the ultimate quantum limits of accuracy,” says Mark Mitchison at Trinity College Dublin in Ireland. Understanding this relationship could be helpful for designing clocks in the future, particularly those used in quantum computers and other devices where both accuracy and temperature are crucial, says Ares. This finding could also help us understand more generally how the quantum world and the classical world are similar and different in terms of thermodynamics and the passage of time.

Q. Which one of the following sets of words and phrases serves best as keywords of the passage?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 16

The maximum accuracy of a clock is directly related to how much disorder, or entropy, it creates every time it ticks.
The author highlights in the beginning of the passage that the accuracy associated with measuring time is directly related to how much entropy it creates while ticking. The author then goes on to talk about the relationship between accuracy and entropy, and how quantum mechanics and thermodynamics come in play here. Thus, the main keywords are the measurement of time, accuracy and entropy. Option C is the answer.
Electric current is just a small part of an example presented in the passage. Option A can be eliminated. The same is the case for Silicon Nitride and Membrane. These are just keywords associated with a particular experiment/example presented in the passage and are not important for the passage as a whole.

CAT 2021 Slot 3: Past Year Question Paper - Question 17

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. Businesses find automation, such as robotic employees, a big asset in terms of productivity and efficiency.
  2. But in recent years, robotics has had increasing impacts on unemployment, not just of manual labour, as computers are rapidly handling some white-collar and service-sector work.
  3. For years politicians have promised workers that they would bring back their jobs by clamping down on trade, offshoring and immigration.
  4. Economists, based on their research, say that the bigger threat to jobs now is not globalisation but automation.
Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 17

A quick read of the sentences tells us that the paragraph is about the unemployment caused by automation. The passage is best opened by 3, which provides the current state of unemployment. The politicians view globalisation as the factor exacerbating unemployment. 4 contrasts this by saying that expert analysis tells a different story. It is automation that could prove to be a crucial factor. 12 forms a pair, that further elucidate the kind and scope of impact that automation has on jobs. Hence, the correct sequence would be 3412.

CAT 2021 Slot 3: Past Year Question Paper - Question 18

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 is regimes of truth that make certain relationships speakable - relationships, like subjectivities, are constituted through discursive formations, which sustain regimes of truth.
  2. Relationships are nothing without the communication that brings them into being; interpersonal communication is connected to knowledge shared by interlocutors, and scholars should attend to relational histories in their analyses.
  3. A Foucauldian approach to relationships goes beyond these conceptions of discourse and history to macrolevel regimes of truth as constituting relationships.
  4. Reconsidering micropractices within relationships that are constituted within and simultaneously contributors to regimes of truth acknowledges the central position of power/knowledge in the constitution of what has come to be considered true and real.
Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 18

A brief reading of the sentences tells us that the paragraph is about the different conceptions of relationships. 2 explains that communication is an important aspect here, and should be studied properly. 3 mentions a Foucauldian approach, that goes beyond this, and includes macrolevel regimes of truth. 1 then explains why the concept of regimes of truth is relevant here. 4 then aptly concludes the paragraph, implying how the micropractices within the relationships allude the importance of knowledge/power. Thus, the correct sequence would be 2314.

*Answer can only contain numeric values
CAT 2021 Slot 3: Past Year Question Paper - Question 19

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. A typical example is Wikipedia, where the overwhelming majority of contributors are male and so the available content is skewed to reflect their interests.
  2. Without diversity of thought and representation, society is left with a distorted picture of future options, which are likely to result in augmenting existing inequalities.
  3. Gross gender inequality in the technology sector is problematic, not only for the industry-wide marginalisation of women, but because technology designs embody the values of their makers.
  4. While redressing unequal representation in the workplace is a step in the right direction, broader social change is needed to address the structural inequalities embedded within the current organisation of work and employment.
  5. If technology merely reflects the perspectives of the male stereotype, then new technologies are unlikely to accommodate the diverse social contexts within which they operate.

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 19

A brief reading of the sentences suggests that the paragraph must be about the disparity in the representation of different genders.
Sentences 1,2,3, and 5 are concerned with the problems that arise when the representation of females is less. 4, however, runs tangent to the discussion at hand. It talks about 'structural inequalities'. This sentence, if included in the paragraph, would render it incomplete as all the other sentences talk about gender inequality and not structural inequality. Thus, 4 is out of context here.

CAT 2021 Slot 3: 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.
People view idleness as a sin and industriousness as a virtue, and in the process have developed an unsatisfactory relationship with their jobs. Work has become a way for them to keep busy, even though many find their work meaningless. In their need for activity people undertake what was once considered work (fishing, gardening) as hobbies. The opposing view is that hard work has made us prosperous and improved our levels of health and education. It has also brought innovation and labour and timesaving devices, which have lessened life’s drudgery.

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 20

The main points of the passage are:
1. People increasingly view idleness as sin and industriousness as a virtue, pushing them into meaningless jobs.
2. On the other hand, this has also saved us from many of life's drudgeries.
A: Misses out on point 1.
B: A distortion. The author does not advocate idleness. Also, 1 is not covered properly.
C: Incorrect. 'led to greater idleness' is not implied anywhere in the passage.
D: Covers both the points aptly and is the answer.

*Answer can only contain numeric values
CAT 2021 Slot 3: Past Year Question Paper - Question 21

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. They often include a foundation course on navigating capitalism with Chinese characteristics and have replaced typical cases from US corporates with a focus on how Western theories apply to China’s buzzing local firms.
2. The best Chinese business schools look like their Western rivals but are now growing distinct in terms of what they teach and the career boost they offer.
3. Western schools have enhanced their offerings with double degrees, popular with domestic and overseas students alike—and boosted the prestige of their Chinese partners.
4. For students, a big draw is the chance to rub shoulders with captains of China’s private sector.
5. Their business courses now largely cater to the growing demand from China Inc which has become more global, richer and ready to recruit from this sinocentric student body.


Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 21

A brief reading of the sentences tells us that the paragraph is about Chinese business schools and how they stand in comparison to their western counterparts. 2 mentions that thought they have a similar outlook, Chinese business schools have a different curriculum and are also different in what they have to offer. 1, 4, and 5 further talk about the peculiarity of the Chinese schools.
3, however, runs tangent to the discussion. It shifts the focus from Chinese schools and describes western schools. Hence, 3 is out of the context here.

CAT 2021 Slot 3: Past Year Question Paper - Question 22

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
The human mind is wired to see patterns. Not only does the brain process information as it comes in, it also stores insights from all our past experiences. Every interaction, happy or sad, is catalogued in our memory. Intuition draws from that deep memory well to inform our decisions going forward. In other words, intuitive decisions are based on data, and not contrary to data as many would like to assume. When we subconsciously spot patterns, the body starts firing neurochemicals in both the brain and gut.
These “somatic markers” are what give us that instant sense that something is right … or that it’s off. Not only are these automatic processes faster than rational thought, but our intuition draws from decades of diverse qualitative experience (sights, sounds, interactions, etc.) - a wholly human feature that big data alone could never accomplish.

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 22

The main points of the paragraph are as follows:
1. Intuition draws from a vast array of memories that our brain keeps in store.
2. When our brain recognises a pattern from past memories, neuron firing starts, which gives us the gut feeling of intuition.
A: Distortion: The passage does not give any detail about big data being based on rational thought.
B: Out of scope. The paragraph does not allude to whether the decisions based on intuition are better or worse.
C: Incorrect: The passage says that intuitive decisions are based on data.
D: Correctly covers the mentioned points and hence, is the answer.

CAT 2021 Slot 3: 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.
Brazil’s growth rate has been low, yet most Brazilians say their financial situation has improved, and they expect it to get even better. This is because most incomes are rising fast, with higher minimum wages and very low unemployment. The result is falling inequality and a growing middle class — the result of economic stabilization, improved social security and universal primary education. But despite recent improvements the Brazilian economy is still painfully unequal, with poor Brazilians paying the biggest share of their income in taxes and getting the least back in government services.

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 23

The main points of the paragraph are: 1. The Brazilian economy has been stagnant, but the popular perception is that the times have improved. 2. The reasons are falling inequality and other important services. 3. Despite this, the economy is brutally unequal.
A: Ignorance on the part of Brazilians is not implied. What the author is saying that though things have improved for the ones who say so, others are still being dealt a rough hand.
B: The paragraph does not imply that the good economic indicators are being used as subterfuge to cover up the prevailing inequality.
C: Comes the closest in capturing the three points. Hence, is the answer.
D: It has a problem similar to Option A. Things have improved for that section of people. They are not ignorant, nor are they being misled into believing something.

CAT 2021 Slot 3: 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. Restitution of artefacts to original cultures could face legal obstacles, as many Western museums are legally prohibited from disposing off their collections.
  2. This is in response to countries like Nigeria, which are pressurising European museums to return their precious artefacts looted by colonisers in the past.
  3. Museums in Europe today are struggling to come to terms with their colonial legacy, some taking steps to return artefacts but not wanting to lose their prized collections.
  4. Legal hurdles notwithstanding, politicians and institutions in France and Germany would now like to defuse the colonial time bombs, and are now backing the return of part of their holdings.
Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 24

A brief reading of the sentences suggests that the paragraph is about restitution of articles that were taken from colonies. 3 introduces the topic at hand: European museums are trying to come to terms with their colonial legacy by returning artefacts. 2 follows 3, providing the reason why this development has taken place. 1 then further describes the current situation: the legal obstacles this action could face. 4 concludes the paragraph by saying that other than these legal obstacles, institutions in France and Germany are seriously backing the move. Hence, the correct arrangement is 3214.

CAT 2021 Slot 3: Past Year Question Paper - Question 25

Each of the bottles mentioned in this question contains 50 ml of liquid. The liquid in any bottle can be 100% pure content (P) or can have certain amount of impurity (I). Visually it is not possible to distinguish between P and I. There is a testing device which detects impurity, as long as the percentage of impurity in the content tested is 10% or more.
For example, suppose bottle 1 contains only P, and bottle 2 contains 80% P and 20% I. If content from bottle 1 is tested, it will be found out that it contains only P. If content of bottle 2 is tested, the test will reveal that it contains some amount of I. If 10 ml of content from bottle 1 is mixed with 20 ml content from bottle 2, the test will show that the mixture has impurity, and hence we can conclude that at least one of the two bottles has I. However, if 10 ml of content from bottle 1 is mixed with 5 ml of content from bottle 2. the test will not detect any impurity in the resultant mixture.

Q. 5 ml of content from bottle A is mixed with 5 ml of content from bottle B. The resultant mixture, when tested, detects the presence of I. If it is known that bottle A contains only P, what BEST can be concluded about the volume of I in bottle B?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 25

Given that each of the bottles contains a volume of 50 ml each.
If 5 ml from bottle A which contains only P is mixed with 5 ml of bottle B and in the resultant mixture the presence of I was detected.
In order to detect the presence of I in this, there must be at least 10% impurity in the 10 ml which is equivalent to 1 ml. This must be from bottle B.
Hence 5 ml of solution from B must contain at least 1ml of impurity and since bottle B is of a total volume of 50 ml. This must contain at least 10 ml of impurity.

*Answer can only contain numeric values
CAT 2021 Slot 3: Past Year Question Paper - Question 26

Each of the bottles mentioned in this question contains 50 ml of liquid. The liquid in any bottle can be 100% pure content (P) or can have certain amount of impurity (I). Visually it is not possible to distinguish between P and I. There is a testing device which detects impurity, as long as the percentage of impurity in the content tested is 10% or more.
For example, suppose bottle 1 contains only P, and bottle 2 contains 80% P and 20% I. If content from bottle 1 is tested, it will be found out that it contains only P. If content of bottle 2 is tested, the test will reveal that it contains some amount of I. If 10 ml of content from bottle 1 is mixed with 20 ml content from bottle 2, the test will show that the mixture has impurity, and hence we can conclude that at least one of the two bottles has I. However, if 10 ml of content from bottle 1 is mixed with 5 ml of content from bottle 2. the test will not detect any impurity in the resultant mixture.

Q. There are four bottles. Each bottle is known to contain only P or only I. They will be considered to be “collectively ready for despatch” if all of them contain only P. In minimum how many tests, is it possible to ascertain whether these four bottles are “collectively ready for despatch”?


Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 26

The bottles contain either P(pure) or I(impure). The possible cases here are :
1- (P, P, P, P), 2-(P,P,P,I), 3-(P,P,I,I), 4-(P,I,I,I), 5-(I,I,I,I).
In the first case if all the four solutions are pure then taking equal volumes of all the four bottles will get the result to dispatch or not to dispatch.
In the second case if 3 bottles are pure and one impure taking equal volumes of all four bottles and testings will confirm the impurity and hence cannot be dispatched.
In the third case if 2 bottles are pure and two are impure taking equal volumes of all four bottles and testing will confirm the impurity and hence cannot be dispatched.
In the fourth case when only one bottle is pure taking equal volumes of all four bottles will confirm the impurity and hence cannot be dispatched.
In the fifth case if all four bottles are impure taking equal volumes of the four bottles will confirm the impurity and hence cannot be dispatched.
In all the cases a single test is enough to determine if the lot is to be dispatched or not.

*Answer can only contain numeric values
CAT 2021 Slot 3: Past Year Question Paper - Question 27

Each of the bottles mentioned in this question contains 50 ml of liquid. The liquid in any bottle can be 100% pure content (P) or can have certain amount of impurity (I). Visually it is not possible to distinguish between P and I. There is a testing device which detects impurity, as long as the percentage of impurity in the content tested is 10% or more.
For example, suppose bottle 1 contains only P, and bottle 2 contains 80% P and 20% I. If content from bottle 1 is tested, it will be found out that it contains only P. If content of bottle 2 is tested, the test will reveal that it contains some amount of I. If 10 ml of content from bottle 1 is mixed with 20 ml content from bottle 2, the test will show that the mixture has impurity, and hence we can conclude that at least one of the two bottles has I. However, if 10 ml of content from bottle 1 is mixed with 5 ml of content from bottle 2. the test will not detect any impurity in the resultant mixture.

Q. There are four bottles. It is known that three of these bottles contain only P, while the remaining one contains 80% P and 20% I.
What is the minimum number of tests required to definitely identify the bottle containing some amount of I?


Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 27

The percentage concentration of the impure solution is 80 percent.
When equal volumes of all four solutions are mixed.
Considering 10 ml of each we have impurity to be 2ml/40ml. The impurity concentration is less than 10 percent and hence cannot be recognized.
Similarly when equal volumes of one impure and 2 pure solutions are mixed. The impurity in the solution is 2ml/30ml which is less than 10 percent and hence cannot be recognized.
Hence for detecting the impure solution we must use equal volumes of 2 solutions at a time.
Considering the three pure solutions to be P and the impure solution to be I.
P, P, P, I.
Considering equal volumes of solution from the bottle one bottle of P, and I. Testing this would recognize the impurity.
After this consider one bottle among the other 2 P bottles which are left and test this with one among the previously tested P, I.
If the one considered is I it will detect the impurity and confirms the bottle to be I.
If the one considered is P it will fail to detect the impurity and hence the other bottle will be I.
Hence a minimum of two tests are required to identify the bottle with the impurity.

CAT 2021 Slot 3: Past Year Question Paper - Question 28

Each of the bottles mentioned in this question contains 50 ml of liquid. The liquid in any bottle can be 100% pure content (P) or can have certain amount of impurity (I). Visually it is not possible to distinguish between P and I. There is a testing device which detects impurity, as long as the percentage of impurity in the content tested is 10% or more.
For example, suppose bottle 1 contains only P, and bottle 2 contains 80% P and 20% I. If content from bottle 1 is tested, it will be found out that it contains only P. If content of bottle 2 is tested, the test will reveal that it contains some amount of I. If 10 ml of content from bottle 1 is mixed with 20 ml content from bottle 2, the test will show that the mixture has impurity, and hence we can conclude that at least one of the two bottles has I. However, if 10 ml of content from bottle 1 is mixed with 5 ml of content from bottle 2. the test will not detect any impurity in the resultant mixture.

Q. There are four bottles. It is known that either one or two of these bottles contain(s) only P, while the remaining ones contain 85% P and 15% I. What is the minimum number of tests required to ascertain the exact number of bottles containing only P?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 28

The bottles could possibly be : Case - 1 Pure, Impure, Impure, Impure.
Case-2, Pure , Pure, Impure, Impure.
Since the concentration in the impure bottle is 85 percent.
In case 1 when equal volumes from all the bottles are considered and mixed. The test result detects the impurity..
Since the overall concentration of impurity is greater than 10 percent.
Considering 10 ml from all four bottles.
The impure concentration is 4.5ml/40ml which is greater than 10.(15ml*3 = 4.5ml) (Impurity is detected) For case 2 when all four bottles are considered. The case here has 2 pure and 2 impure bottles.
When equal volumes from all four bottles are mixed. The resultant concentration of impurity when 10 ml from each of the four solutions is considered : The impure concentration is 3ml/40ml which is less than 10 percent.. (1.5ml*2 = 3ml). (Impurity is not detected.) Hence in one possibility the impurity is detected and not detected in the other case. A single test is enough based on the results of which the number of pure and the number of impure bottles can be identified.

CAT 2021 Slot 3: Past Year Question Paper - Question 29


The figure above shows the schedule of four employees - Abani, Bahni, Danni, and Tinni - whom Dhoni supervised in 2020. Altogether there were five projects which started and concluded in 2020 in which they were involved. For each of these projects and for each employee, the starting day was at the beginning of a month and the concluding day was the end of a month, and these are indicated by the left and right end points of the corresponding horizontal bars. The number within each bar indicates the percentage of assigned work completed by the employee for that project, as assessed by Dhoni.
For each employee, his/her total project-month (in 2020) is the sum of the number of months (s)he worked across the five projects, while his/her annual completion index is the weightage average of the completion percentage assigned from the different projects, with the weights being the corresponding number of months (s)he worked in these projects. For each project, the total employee-month is the sum of the number of months four employees worked in this project, while its completion index is the weightage average of the completion percentage assigned for the employees who worked in this project, with the weights being the corresponding number of months they worked in this project.

Q. Which of the following statements is/are true?
I: The total project-month was the same for the four employees.
II: The total employee-month was the same for the five projects.

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 29

The total project month is the number of months Abani, Bahni, Danni, and Tinni individually worked for all the projects combined :
Abani - 2+2+5 = 9 months
Bahni - 2+4+3 = 9 months
Danni - 3+3+2+1 = 9 months
Tinni - 2+2+3+2 = 9 months.
The total employee month for all the five projects is the sum of the total employee-month is the sum of the number of months four employees worked in this project.
Project -1 = 2+2+2 = 6 months
Project -2 = 3+2 = 5 months
Project - 3 = 2+4+3 = 9 months.
Project - 4 = 5+2+3 = 10 months.
Project - 5 = 3+1+2 = 6 months.
Only statement 1 is true.

CAT 2021 Slot 3: Past Year Question Paper - Question 30


The figure above shows the schedule of four employees - Abani, Bahni, Danni, and Tinni - whom Dhoni supervised in 2020. Altogether there were five projects which started and concluded in 2020 in which they were involved. For each of these projects and for each employee, the starting day was at the beginning of a month and the concluding day was the end of a month, and these are indicated by the left and right end points of the corresponding horizontal bars. The number within each bar indicates the percentage of assigned work completed by the employee for that project, as assessed by Dhoni.
For each employee, his/her total project-month (in 2020) is the sum of the number of months (s)he worked across the five projects, while his/her annual completion index is the weightage average of the completion percentage assigned from the different projects, with the weights being the corresponding number of months (s)he worked in these projects. For each project, the total employee-month is the sum of the number of months four employees worked in this project, while its completion index is the weightage average of the completion percentage assigned for the employees who worked in this project, with the weights being the corresponding number of months they worked in this project.

Q. Which employees did not work in multiple projects for any of the months in 2020?

Detailed Solution for CAT 2021 Slot 3: Past Year Question Paper - Question 30

Abani, Banni, and Danni did not work on multiple projects simultaneously in a month Tinni was the only person who worked on multiple projects which are project 4 and project 5 in the month of september.

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