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CAT Mock Test - 11 (November 13) - CAT MCQ


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30 Questions MCQ Test - CAT Mock Test - 11 (November 13)

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CAT Mock Test - 11 (November 13) - Question 1

Directions: The passage below is accompanied by a set of questions. Choose the best answer to each question.

Philosophical games aside, the practical importance of understanding the brain basis of consciousness is easy to appreciate. General anaesthesia has to count as one of the greatest inventions of all time. Less happily, distressing disturbances of consciousness can accompany brain injuries and mental illnesses for the increasing number of us, me included, who encounter these conditions. And for each one of us, conscious experiences change throughout life, from the blooming and buzzing confusion of early life, through the apparent though probably illusory and certainly not universal clarity of adulthood, and on to our final drift into the gradual — and for some, disorientingly rapid — dissolution of the self as neurodegenerative decay sets in.
At each stage in this process, you exist, but the notion that there is a single unique conscious self (a soul?) that persists over time may be grossly mistaken. Indeed, one of the most compelling aspects of the mystery of consciousness is the nature of self. Is consciousness possible without self-consciousness? And if so, would it still matter so much?
Answers to difficult questions like these have many implications for how we think about the world and the life it contains. When does consciousness begin in development? Does it emerge at birth, or is it present even in the womb? What about consciousness in nonhuman animals — and not just in primates and other mammals, but in otherworldly creatures like the octopus and perhaps even in simple organisms such as nematode worms or bacteria?
Despite his now-tarnished reputation among neuroscientists, Sigmund Freud was right about many things. Looking back through the history of science, he identified three "strikes" against the perceived self-importance of the human species, each marking a major scientific advance that was strongly resisted at the time.
The first was by Copernicus, who showed with his heliocentric theory that the Earth rotates around the sun and not the other way around. With this dawned the realisation that we are not at the centre of the universe; we are just a speck somewhere out there in the vastness, a pale blue dot suspended in the abyss.
Next came Darwin, who revealed that we share common ancestry with all other living things, a realisation that is — astonishingly — still resisted in some parts of the world even today.
Immodestly, Freud's third strike against human exceptionalism was his own theory of the unconscious mind, which challenged the idea that our mental lives are under our conscious, rational control. While he may have been off target in the details, he was absolutely right to point out that a naturalistic explanation of mind and consciousness would be a further, and perhaps final, dethronement of humankind.
These shifts in how we see ourselves are to be welcomed. With each new advance in our understanding comes a new sense of wonder and a new ability to see ourselves as less apart from — and more a part of — the rest of nature.
Our conscious experiences are part of nature just as our bodies are, just as our world is. And when life ends, consciousness will end too. When I think about this, I am transported back to my experience — my non-experience — of anaesthesia. To its oblivion, perhaps comforting, but oblivion nonetheless. The novelist Julian Barnes, in his meditation on mortality, puts it perfectly. When the end of consciousness comes, there is nothing — really nothing — to be frightened of.

Q. In context of the passage, what purpose do Freud's "three strikes" serve?

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 1

Freud wanted to highlight that the 'perceived' self-importance of human species, and the view that their consciousness is their own, is misplaced. He lists theories of Darwin, Copernicus, and his own, to highlight this concept. Both the author and Freud agree that our consciousness is not only our own but is a part of a larger entity, i.e. the nature. The author concludes that 'notion that there is ... be grossly mistaken'. Freud also agrees with this idea when he highlights 'naturalistic explanation of mind and consciousness'. Option 2 perfectly captures this.
Option 1 - This cannot be inferred. While Freud concludes that our consciousness is a part of nature, we cannot infer that even inanimate objects can experience consciousness.
Option 3 - The 'strikes' don't contradict the author's views; rather, they support it.
Option 4 - Freud wanted to end the 'perceived' self-importance of human beings. Nothing about the 'transient' nature of consciousness can be inferred from his 'three strikes'.

CAT Mock Test - 11 (November 13) - Question 2

Directions: Read the following passage carefully and answer the given question.

Ask any hardcore substance addict (try this only when they are sober) how his or her very first experience was, and they will for sure tell you it was not a very pleasant one. The violent cough of the first puff, the distaste of the first sip, the bitterness of the powder, hits them first; the feel-good factor and ecstasy that ends up in an unbreakable bond comes slowly, and much later. That's why we urge you to start the new addiction programme now, whatever be the initial hiccups.
Every patient is different, from shy and submissive to bold and aggressive; some are dead scared of injections while others go in for heart surgery with a smile. But the 'argumentative' types are special and the most difficult to handle; give them a piece of advice and they would be ready with an instant counter-argument. But it is these argumentative ones who teach the old doctors a new trick or two, by asking odd and embarrassing questions, forcing us to dig up old medical journals or try surfing the Net. That's exactly what happened when this young man asked me: ''I am not overweight, neither do I have diabetes, high blood pressure or heart disease. Then why do you want me to exercise?'' The answer to that question is far from simple.
fMRI, or functional Magnetic Resonance Imaging, is a system that can track blood circulation and show the intensity of activation of a localised area of the brain during a specific activity. Reading, for example, activates the occipital cortex, speaking lights up the speech area, while decision-making switches on the frontal cortex.
In a study researchers looked into the fMRI pattern in those who do regular exercise, and found that a 'C'-shaped structure, the caudate nucleus, a part of the basal ganglia, becomes highly active. This is caused by flooding of that area by a neurotransmitter called dopamine. This area is the reward area of the brain, and such activation makes the person feel happy. But what stumped the researchers was that the pattern of activation matched the fMRI imaging pattern of a nicotine or cocaine addict. The fMRI image of a cocaine addict who is high and a health freak doing exercise had an uncanny similarity from the perspective of neurochemistry and brain imaging.
Lack of exercise is a technology problem. Today we don't even walk to our neighbour to chat; we pick up the mobile instead. And then there is the lure of sitting back at home knowing that the world of entertainment is just a click away.
Some 150 minutes of exercise a week translates into 30 minutes a day for five days a week, or two 15 minute sessions of brisk walking. And that 15 minutes of apparent 'waste-of-time' would not only reduce your 'waist-in-time' but also reduce the chances of your developing high blood pressure, diabetes, heart disease and stroke, each by 30 per cent. A similar reduction of chance of depression and consequent improvement of self-confidence would be a bonus.
Powering your life and staying heart healthy is possible by getting hooked on to a new addiction - 'daily exercise'. All you need is to hold on till the initial hiccough is over - and then it would be bliss.

Q. It can be inferred that the author of the passage makes a case for inculcating the habit of exercising because

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 2

1. Correct. The sentence "This area is the reward area of the brain, and such activation makes the person feel happy" makes it clear that the author believes that man has a need to live happy life. Option 1 is the best choice.
2. Incorrect. The author does not state that it does not require any effort at all. It requires some effort to stay healthy.
3. Incorrect. The author states this in the passage as a reason for him exploring the reason why one should exercise. He does not necessarily write the passage as a satisfying reply to the argumentative patient.
4. Incorrect. Although stated in the passage, this does not answer the question. Hence, this is incorrect.

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CAT Mock Test - 11 (November 13) - Question 3

Directions: Read the following passage carefully and answer the given question.

Ask any hardcore substance addict (try this only when they are sober) how his or her very first experience was, and they will for sure tell you it was not a very pleasant one. The violent cough of the first puff, the distaste of the first sip, the bitterness of the powder, hits them first; the feel-good factor and ecstasy that ends up in an unbreakable bond comes slowly, and much later. That's why we urge you to start the new addiction programme now, whatever be the initial hiccups.
Every patient is different, from shy and submissive to bold and aggressive; some are dead scared of injections while others go in for heart surgery with a smile. But the 'argumentative' types are special and the most difficult to handle; give them a piece of advice and they would be ready with an instant counter-argument. But it is these argumentative ones who teach the old doctors a new trick or two, by asking odd and embarrassing questions, forcing us to dig up old medical journals or try surfing the Net. That's exactly what happened when this young man asked me: ''I am not overweight, neither do I have diabetes, high blood pressure or heart disease. Then why do you want me to exercise?'' The answer to that question is far from simple.
fMRI, or functional Magnetic Resonance Imaging, is a system that can track blood circulation and show the intensity of activation of a localised area of the brain during a specific activity. Reading, for example, activates the occipital cortex, speaking lights up the speech area, while decision-making switches on the frontal cortex.
In a study researchers looked into the fMRI pattern in those who do regular exercise, and found that a 'C'-shaped structure, the caudate nucleus, a part of the basal ganglia, becomes highly active. This is caused by flooding of that area by a neurotransmitter called dopamine. This area is the reward area of the brain, and such activation makes the person feel happy. But what stumped the researchers was that the pattern of activation matched the fMRI imaging pattern of a nicotine or cocaine addict. The fMRI image of a cocaine addict who is high and a health freak doing exercise had an uncanny similarity from the perspective of neurochemistry and brain imaging.
Lack of exercise is a technology problem. Today we don't even walk to our neighbour to chat; we pick up the mobile instead. And then there is the lure of sitting back at home knowing that the world of entertainment is just a click away.
Some 150 minutes of exercise a week translates into 30 minutes a day for five days a week, or two 15 minute sessions of brisk walking. And that 15 minutes of apparent 'waste-of-time' would not only reduce your 'waist-in-time' but also reduce the chances of your developing high blood pressure, diabetes, heart disease and stroke, each by 30 per cent. A similar reduction of chance of depression and consequent improvement of self-confidence would be a bonus.
Powering your life and staying heart healthy is possible by getting hooked on to a new addiction - 'daily exercise'. All you need is to hold on till the initial hiccough is over - and then it would be bliss.

Q. All of the following statements can be inferred from the passage, EXCEPT that:

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 3

1. Incorrect. This can be inferred from 'Lack of exercise is a technology problem. Today we don't even walk to our neighbour to chat; we pick up the mobile instead. And then there is the lure of sitting back at home knowing that the world of entertainment is just a click away, right in front of us, in our bedroom on LCD TV in high definition.'
2. Correct. The more activated the areas of a man's "brain"(not "body"), the happier he is.
3. Incorrect. This can be inferred from 'The violent cough of the first puff, the distaste of the first sip, the bitterness of the powder, hits them first; the feel-good factor and ecstasy that ends up in an unbreakable bond comes slowly, and much later. That's why we urge you to start the new addiction programme now, whatever be the initial hiccups.'
4. Incorrect. This can be inferred from 'Reading, for example, activates the occipital cortex, speaking lights up the speech area, while decision-making switches on the frontal cortex.'

CAT Mock Test - 11 (November 13) - Question 4

Directions: Read the following passage carefully and answer the given question.

Ask any hardcore substance addict (try this only when they are sober) how his or her very first experience was, and they will for sure tell you it was not a very pleasant one. The violent cough of the first puff, the distaste of the first sip, the bitterness of the powder, hits them first; the feel-good factor and ecstasy that ends up in an unbreakable bond comes slowly, and much later. That's why we urge you to start the new addiction programme now, whatever be the initial hiccups.
Every patient is different, from shy and submissive to bold and aggressive; some are dead scared of injections while others go in for heart surgery with a smile. But the 'argumentative' types are special and the most difficult to handle; give them a piece of advice and they would be ready with an instant counter-argument. But it is these argumentative ones who teach the old doctors a new trick or two, by asking odd and embarrassing questions, forcing us to dig up old medical journals or try surfing the Net. That's exactly what happened when this young man asked me: ''I am not overweight, neither do I have diabetes, high blood pressure or heart disease. Then why do you want me to exercise?'' The answer to that question is far from simple.
fMRI, or functional Magnetic Resonance Imaging, is a system that can track blood circulation and show the intensity of activation of a localised area of the brain during a specific activity. Reading, for example, activates the occipital cortex, speaking lights up the speech area, while decision-making switches on the frontal cortex.
In a study researchers looked into the fMRI pattern in those who do regular exercise, and found that a 'C'-shaped structure, the caudate nucleus, a part of the basal ganglia, becomes highly active. This is caused by flooding of that area by a neurotransmitter called dopamine. This area is the reward area of the brain, and such activation makes the person feel happy. They also discovered that exercise released a hormone called BDNF (Brain Derived Neurotrophic Factor) and endorphins, which resulted in such activation. While BDNF neutralised stress, endorphins took away the pain and fatigue of the exercise. But what stumped the researchers was that the pattern of activation matched the fMRI imaging pattern of a nicotine or cocaine addict. The fMRI image of a cocaine addict who is high and a health freak doing exercise had an uncanny similarity from the perspective of neurochemistry and brain imaging.
Lack of exercise is a technology problem. Today we don't even walk to our neighbour to chat; we pick up the mobile instead. And then there is the lure of sitting back at home knowing that the world of entertainment is just a click away, right in front of us, in our bedroom on LCD TV in high definition.
Some 150 minutes of exercise a week translates into 30 minutes a day for five days a week, which you can split it up into two 15 minute sessions of brisk walking. And that 15 minutes of apparent 'waste-of-time' would not only reduce your 'waist-in-time' but also reduce the chances of your developing high blood pressure, diabetes, heart disease and stroke, each by 30 per cent. A similar reduction of chance of depression and consequent improvement of self-confidence would be a bonus. For the eight-to-five creatures, who claim to be too busy, we advise them to walk or cycle to office.
The theme of World Heart Day, which fell last week on September 29, was, 'power your life' and stay heart healthy. You can do that by getting hooked on to a new addiction - 'daily exercise'. All you need is to hold on till the initial hiccough is over - and then it would be bliss. No legal restrictions, side-effects or withdrawal problems.

Q. According to the passage, which of the following revelations was rather surprising?

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 4

1. Incorrect. Although mentioned in the passage, this is not what the author states as surprising.
2. Correct. "But what stumped the researchers was that the pattern of activation matched the fMRI imaging pattern of a nicotine or cocaine addict. The fMRI image of a cocaine addict who is high and a health freak doing exercise had an uncanny similarity from the perspective of neurochemistry and brain imaging." So this option is correct.
3. Incorrect. Although mentioned in the passage, this is not what the author states as surprising.
4. Incorrect. This is incorrect because option 2 is right.

CAT Mock Test - 11 (November 13) - Question 5

Directions: The passage below is followed by a question based on its content. Answer the question on the basis of what is stated or implied in the passage.

Beliefs in witchcraft in the generic sense are conspicuous in most small-scale communities where interaction is based upon personal relationships that tend to be life-long and difficult to break. In such societies belief in witches makes it possible for misfortunes to be explained in terms of disturbed social relationships; and the threat either of being accused of witchcraft or of being attacked by witches may well be a source of social control, making people more circumspect about their conduct toward others. Witches who are blamed for misfortunes, while visit near kinsmen and neighbours, are conceived of as inhuman and beyond the pale of decent society. They are, thus, convenient scapegoats who are blamed for events otherwise inexplicable in terms of the limited empirical knowledge prevailing in a society with a poorly developed technology - e.g., events such as sudden death or persistent illness or even accidents.
This explanatory function of witchcraft is widespread. So too are some of the details of the witch's believed habits and techniques, such as operating at night flying through the air on broomsticks or saucer shaped winnowing baskets.
The inherent disharmonies in the social system are cloaked under an insistence that there is harmony in the values of the society, and the surface disturbances that they cause are attributed to the wickedness of individuals. This is why the witch and sorcerer become the villains of the society's morality plays, the ones to whom the most inhuman crimes and characteristics are attributed. So numerous and so revolting are the believed practices of witches that to accuse anyone of witchcraft is a condensed way of charging him with a long list of the foulest crimes - and much the same may be said of sorcery, except that the alleged sorcerer might find some room for defence in the ambiguity as to when the use of destructive magic is legitimate and when it is to be regarded as sorcery.
Because accusations of witchcraft, if they are successful, are devastating attacks on reputation, they punctuate the micro-political processes relating to many forms of competition for some scarce status, power, resource, or personal affiliation. The believed victim of witchcraft or sorcery may also sometimes be regarded as getting his just deserts if he has, by tactless folly, incurred the wrath of dangerous, powerful persons in the community.
Because in such belief systems the transgressors of a society's ideals are depicted with dramatic disapproval, witchcraft and sorcery are usually powerful brakes upon social change. In many preliterate societies in modem times it is often those who have progressed economically and educationally who are most obsessed by fears of attack by witches and sorcerers or of accusation of employing witchcraft or sorcery. This is because they find themselves either out of line in social orders that economically at least are equalitarian or with a new-found status that lacks a niche in the traditional hierarchy.
On the other hand, belief in witchcraft may, under certain circumstances, have the effect of accelerating social change; e.g., by facilitating the rupture of close relationships that have become redundant but are difficult to break off in such a situation an accusation of witchcraft has the effect of making a public issue out of what started as a private quarrel.

Q. According to the author, witches are blamed unnecessarily and made to bear misdeeds of others in small scale communities because

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 5

1. Incorrect. The fact given is true according to the passage but condemnation is a part of misdeed done by the society to the witches. This does not even concur with the reason given in the text for the unnecessary blaming.
2. Incorrect. The passage is all about the lot of witches in real life. They are not mythical figures.
3. Incorrect. This is true according to the passage but ostracism is a part of misdeed done by the society to the witches. The reason is also not their 'superstitious' beliefs.
4. Correct. The answer to this question can be found upon reading the first paragraph. The author clearly terms witches being "scapegoats" for events, which are inexplicable in terms of empirical knowledge.

CAT Mock Test - 11 (November 13) - Question 6

Directions: The passage below is followed by a question based on its content. Answer the question on the basis of what is stated or implied in the passage.

Beliefs in witchcraft in the generic sense are conspicuous in most small-scale communities where interaction is based upon personal relationships that tend to be life-long and difficult to break. In such societies belief in witches makes it possible for misfortunes to be explained in terms of disturbed social relationships; and the threat either of being accused of witchcraft or of being attacked by witches may well be a source of social control, making people more circumspect about their conduct toward others. Witches who are blamed for misfortunes, while visit near kinsmen and neighbours, are conceived of as inhuman and beyond the pale of decent society. They are, thus, convenient scapegoats who are blamed for events otherwise inexplicable in terms of the limited empirical knowledge prevailing in a society with a poorly developed technology - e.g., events such as sudden death or persistent illness or even accidents.
This explanatory function of witchcraft is widespread. So too are some of the details of the witch's believed habits and techniques, such as operating at night flying through the air on broomsticks or saucer shaped winnowing baskets.
The inherent disharmonies in the social system are cloaked under an insistence that there is harmony in the values of the society, and the surface disturbances that they cause are attributed to the wickedness of individuals. This is why the witch and sorcerer become the villains of the society's morality plays, the ones to whom the most inhuman crimes and characteristics are attributed. So numerous and so revolting are the believed practices of witches that to accuse anyone of witchcraft is a condensed way of charging him with a long list of the foulest crimes - and much the same may be said of sorcery, except that the alleged sorcerer might find some room for defence in the ambiguity as to when the use of destructive magic is legitimate and when it is to be regarded as sorcery.
Because accusations of witchcraft, if they are successful, are devastating attacks on reputation, they punctuate the micro-political processes relating to many forms of competition for some scarce status, power, resource, or personal affiliation. The believed victim of witchcraft or sorcery may also sometimes be regarded as getting his just deserts if he has, by tactless folly, incurred the wrath of dangerous, powerful persons in the community.
Because in such belief systems the transgressors of a society's ideals are depicted with dramatic disapproval, witchcraft and sorcery are usually powerful brakes upon social change. In many preliterate societies in modem times it is often those who have progressed economically and educationally who are most obsessed by fears of attack by witches and sorcerers or of accusation of employing witchcraft or sorcery. This is because they find themselves either out of line in social orders that economically at least are equalitarian or with a new-found status that lacks a niche in the traditional hierarchy.
On the other hand, belief in witchcraft may, under certain circumstances, have the effect of accelerating social change; e.g., by facilitating the rupture of close relationships that have become redundant but are difficult to break off in such a situation an accusation of witchcraft has the effect of making a public issue out of what started as a private quarrel.

Q. According to the author, an alleged sorcerer is sometimes better off when compared to a witch as

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 6

1. Incorrect. 'Sometimes better off' should not mean always 'acceptable'.
2. Incorrect. 'Sometimes better off' should not mean always 'beneficial'.
3. Correct. The answer (3) to this question finds reference in the last lines of third paragraph where we find that there is ambiguity as to when the use of destructive magic is legitimate and when it is to be regarded as sorcery. It is in this ambiguity that the sorcerer finds defence when compared to a witch.
4. Incorrect. 'Sometimes better off' should not mean always 'not evil'.

CAT Mock Test - 11 (November 13) - Question 7

Directions: The passage below is followed by a question based on its content. Answer the question on the basis of what is stated or implied in the passage.

Beliefs in witchcraft in the generic sense are conspicuous in most small-scale communities where interaction is based upon personal relationships that tend to be life-long and difficult to break. In such societies belief in witches makes it possible for misfortunes to be explained in terms of disturbed social relationships; and the threat either of being accused of witchcraft or of being attacked by witches may well be a source of social control, making people more circumspect about their conduct toward others. Witches who are blamed for misfortunes, while visit near kinsmen and neighbours, are conceived of as inhuman and beyond the pale of decent society. They are, thus, convenient scapegoats who are blamed for events otherwise inexplicable in terms of the limited empirical knowledge prevailing in a society with a poorly developed technology - e.g., events such as sudden death or persistent illness or even accidents.
This explanatory function of witchcraft is widespread. So too are some of the details of the witch's believed habits and techniques, such as operating at night flying through the air on broomsticks or saucer shaped winnowing baskets.
The inherent disharmonies in the social system are cloaked under an insistence that there is harmony in the values of the society, and the surface disturbances that they cause are attributed to the wickedness of individuals. This is why the witch and sorcerer become the villains of the society's morality plays, the ones to whom the most inhuman crimes and characteristics are attributed. So numerous and so revolting are the believed practices of witches that to accuse anyone of witchcraft is a condensed way of charging him with a long list of the foulest crimes - and much the same may be said of sorcery, except that the alleged sorcerer might find some room for defence in the ambiguity as to when the use of destructive magic is legitimate and when it is to be regarded as sorcery.
Because accusations of witchcraft, if they are successful, are devastating attacks on reputation, they punctuate the micro-political processes relating to many forms of competition for some scarce status, power, resource, or personal affiliation. The believed victim of witchcraft or sorcery may also sometimes be regarded as getting his just deserts if he has, by tactless folly, incurred the wrath of dangerous, powerful persons in the community.
Because in such belief systems the transgressors of a society's ideals are depicted with dramatic disapproval, witchcraft and sorcery are usually powerful brakes upon social change. In many preliterate societies in modem times it is often those who have progressed economically and educationally who are most obsessed by fears of attack by witches and sorcerers or of accusation of employing witchcraft or sorcery. This is because they find themselves either out of line in social orders that economically at least are equalitarian or with a new-found status that lacks a niche in the traditional hierarchy.
On the other hand, belief in witchcraft may, under certain circumstances, have the effect of accelerating social change; e.g., by facilitating the rupture of close relationships that have become redundant but are difficult to break off in such a situation an accusation of witchcraft has the effect of making a public issue out of what started as a private quarrel.

Q. According to the author, successful accusation of witchcraft can prove to be disastrous on reputation when

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 7

1. Correct. The author in the fourth paragraph has described the dire consequences of accusations of witchcraft. It has clearly been described to have disastrous effects in cases where competition for power or status in a micro-political process exists.
2. Incorrect. This is incorrect as it is not mentioned in the passage as a situation where the accusation of witchcraft will be dangerous.
3. Incorrect. If this were true, it will be like an effect preceding the cause. So this is incorrect.
4. Incorrect. The option is irrelevant to the question and to the passage.

CAT Mock Test - 11 (November 13) - Question 8

Directions: Answer the question based on the following passage:

The famous gorilla experiment conducted by Harvard University when a woman dressed in a gorilla suit ambled across the floor thumping her chest, but 50 % of the audience didn't notice. The study shows we often err when it comes to concentration and perception. Humans have a limited capacity for attention which in turn means that we have a limited capacity to process information at any given point of time.
When we open our eyes, the whole image gets projected on the retina, but only selective parts of the image are sensed by the brain. This is because as the amount of information in the image was too great to be processed, the brain selectively puts its attention on the most important aspects. Scientists have found that highly prominent events may go unnoticed.
Researchers now recognize a phenomenon known as "change blindness", which means that people often fail to detect changes in their field of vision, so long that the change takes place during an eye movement or when the view is somehow interrupted. It has been discovered that our brain tries to construct a meaningful whole out of stimuli that fits in with the scenario of its interest and is capable of discarding majority of other information. This fact can be easily explained by observing a child play the game "spot the difference". On the first look the child finds the pictures to be similar. Only after careful attention, does he find the differences. The present decade has seen a lot of research into this field. The questions that the scientists are trying to answer are: What is the amount of visual input a brain can consciously and unconsciously encode?
Why do some objects come in the field of observation and not others? What happens to information that is subconsciously perceived?
Arien Mack and Irvin Rock also conducted many experiments and co-authored a book "Inattentional Blindness" in 1998. One of their experiments was very simple. They asked the subjects to observe a cross on the computer screen. The subjects were repetitively asked to judge which arm of the cross was longer. They were in a way made to concentrate on the cross. After some time, unrepentantly, another brightly coloured object was inserted in their field of vision. The researchers reported that the participants often failed to notice the unexpected object on the screen, even when it appeared in the middle of their line of vision. The study gave a conclusive proof that there exists a wide gulf between perception and attention. Some psychologists are of the view that intentional blindness may be in some way related to selective memory instead of selective perception. The cause of the 'intentional amnesia' may be organic, functional or circumstantial.
Harvard university researchers have concluded that "we consciously see far less of our world than we think we do. We might well encode much of our visual world without awareness." We believe that we generally see what is in front of us and by basically looking. But looking and seeing are two different events. It has been observed that we look without seeing during moments of intense concentration. We have all observed that our eyes may be open, the images form on the retina, but still we have limited perception. We all remember these moments of blurred visuals and they come usually when either we are in deep thoughts or involved in an interesting conversation.

Q. Which of the following statements can be directly inferred from the passage about "Inattentional blindness"?

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 8

Option (1) is supported by the lines, ''This is because as the amount of information in the image was too great to be processed, the brain selectively puts its attention on the most important aspects. Scientists have found that highly prominent events may go unnoticed.''
Option (2) According to the passage, the reason for highly prominent events going unnoticed is that the brain selectively puts its attention on the most important aspects. It is nowhere stated that we live in a world of our own.
Option (3) contradicts the author. The passage states that though the whole image gets projected on the retina, only selective parts of the image are sensed by the brain. Thus, the mind certainly doesn't recall what the eyes see.
Option (4) can be contradicted by the following line of the passage: ''Some psychologists are of the view that intentional blindness may be in some way related to selective memory instead of selective perception.''
The last one is too sweeping a statement. Thus, (1) is correct.

CAT Mock Test - 11 (November 13) - Question 9

Directions: Answer the question based on the following passage:

The famous gorilla experiment conducted by Harvard University when a woman dressed in a gorilla suit ambled across the floor thumping her chest, but 50 % of the audience didn't notice. The study shows we often err when it comes to concentration and perception. Humans have a limited capacity for attention which in turn means that we have a limited capacity to process information at any given point of time.
When we open our eyes, the whole image gets projected on the retina, but only selective parts of the image are sensed by the brain. This is because as the amount of information in the image was too great to be processed, the brain selectively puts its attention on the most important aspects. Scientists have found that highly prominent events may go unnoticed.
Researchers now recognize a phenomenon known as "change blindness", which means that people often fail to detect changes in their field of vision, so long that the change takes place during an eye movement or when the view is somehow interrupted. It has been discovered that our brain tries to construct a meaningful whole out of stimuli that fits in with the scenario of its interest and is capable of discarding majority of other information. This fact can be easily explained by observing a child play the game "spot the difference". On the first look the child finds the pictures to be similar. Only after careful attention, does he find the differences. The present decade has seen a lot of research into this field. The questions that the scientists are trying to answer are: What is the amount of visual input a brain can consciously and unconsciously encode?
Why do some objects come in the field of observation and not others? What happens to information that is subconsciously perceived?
Arien Mack and Irvin Rock also conducted many experiments and co-authored a book "Inattentional Blindness" in 1998. One of their experiments was very simple. They asked the subjects to observe a cross on the computer screen. The subjects were repetitively asked to judge which arm of the cross was longer. They were in a way made to concentrate on the cross. After some time, unrepentantly, another brightly coloured object was inserted in their field of vision. The researchers reported that the participants often failed to notice the unexpected object on the screen, even when it appeared in the middle of their line of vision. The study gave a conclusive proof that there exists a wide gulf between perception and attention. Some psychologists are of the view that intentional blindness may be in some way related to selective memory instead of selective perception. The cause of the 'intentional amnesia' may be organic, functional or circumstantial.
Harvard university researchers have concluded that "we consciously see far less of our world than we think we do. We might well encode much of our visual world without awareness." We believe that we generally see what is in front of us and by basically looking. But looking and seeing are two different events. It has been observed that we look without seeing during moments of intense concentration. We have all observed that our eyes may be open, the images form on the retina, but still we have limited perception. We all remember these moments of blurred visuals and they come usually when either we are in deep thoughts or involved in an interesting conversation.

Q. The primary purpose of the passage is

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 9

Option (1): The passage doesn't aim at narrating the investigation or research about inattentional blindness conducted by the researchers. Its primary purpose is to explain the wide gulf between perception and attention by explaining the concept of inattentional blindness.
Option (2): The passage is not about tracing reasons for the occurrence of inattentional blindness. It is not about occasions.
Option (3): The passage is not about views of rational scientists about human perception and attention.
Option (4): The main purpose of the passage is to explain the concept of 'inattentional blindness' and its predominance.
Also, the passage is not about the difference between conscious and unconscious mind. It is rather about the theory of inattentional blindness and its predominance.

CAT Mock Test - 11 (November 13) - Question 10

Directions: Answer the question based on the following passage:

The famous gorilla experiment conducted by Harvard University when a woman dressed in a gorilla suit ambled across the floor thumping her chest, but 50 % of the audience didn't notice. The study shows we often err when it comes to concentration and perception. Humans have a limited capacity for attention which in turn means that we have a limited capacity to process information at any given point of time.
When we open our eyes, the whole image gets projected on the retina, but only selective parts of the image are sensed by the brain. This is because as the amount of information in the image was too great to be processed, the brain selectively puts its attention on the most important aspects. Scientists have found that highly prominent events may go unnoticed.
Researchers now recognize a phenomenon known as "change blindness", which means that people often fail to detect changes in their field of vision, so long that the change takes place during an eye movement or when the view is somehow interrupted. It has been discovered that our brain tries to construct a meaningful whole out of stimuli that fits in with the scenario of its interest and is capable of discarding majority of other information. This fact can be easily explained by observing a child play the game "spot the difference". On the first look the child finds the pictures to be similar. Only after careful attention, does he find the differences. The present decade has seen a lot of research into this field. The questions that the scientists are trying to answer are: What is the amount of visual input a brain can consciously and unconsciously encode?
Why do some objects come in the field of observation and not others? What happens to information that is subconsciously perceived?
Arien Mack and Irvin Rock also conducted many experiments and co-authored a book "Inattentional Blindness" in 1998. One of their experiments was very simple. They asked the subjects to observe a cross on the computer screen. The subjects were repetitively asked to judge which arm of the cross was longer. They were in a way made to concentrate on the cross. After some time, unrepentantly, another brightly coloured object was inserted in their field of vision. The researchers reported that the participants often failed to notice the unexpected object on the screen, even when it appeared in the middle of their line of vision. The study gave a conclusive proof that there exists a wide gulf between perception and attention. Some psychologists are of the view that intentional blindness may be in some way related to selective memory instead of selective perception. The cause of the 'intentional amnesia' may be organic, functional or circumstantial.
Harvard university researchers have concluded that "we consciously see far less of our world than we think we do. We might well encode much of our visual world without awareness." We believe that we generally see what is in front of us and by basically looking. But looking and seeing are two different events. It has been observed that we look without seeing during moments of intense concentration. We have all observed that our eyes may be open, the images form on the retina, but still we have limited perception. We all remember these moments of blurred visuals and they come usually when either we are in deep thoughts or involved in an interesting conversation.

Q. The passage answers all the below given questions, except:

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 10

1. Not correct. The passage answers this question. Refer the part - "It has been discovered that our brain tries to construct a meaningful whole out of stimuli that fits in with the scenario of its interest and is capable of discarding majority of other information."
2. Not correct. The passage answers this question. Refer the part - "When we open our eyes, the whole image gets projected on the retina, but only selective parts of the image are sensed by the brain. This is because as the amount of information in the image was too great to be processed, the brain selectively puts its attention on the most important aspects. "
3. Not correct. The passage answers this question. Refer the sentence - "The study gave a conclusive proof that there exists a wide gulf between perception and attention."
4. Correct. The passage does pose this as a question. The last paragraph says that 'Harvard university researchers have concluded that we consciously see far less of our world than we think we do.'
Thus the apt question that the last paragraph explains ought to be 'Why we consciously see far less of our world than we think we do?'

CAT Mock Test - 11 (November 13) - Question 11

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

Helvetius, amongst many false positions and licentious reveries, observes with much justice, that the education of man begins at his birth, and is carried on during the whole course of his life. The lowest mechanic, though he may not have distinct and accurate science, has yet such a store of geography, of natural history, of mechanics, and other parts of knowledge, that were his mind to be emptied of it, the wretched vacancy would amaze us.

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 11

1. Incorrect. Although true, the essence is not the wisdom of Helvetius or his wise discernment but his view or perspective on education.
2. Incorrect. This is what Helvetius says. However, this option does not put education in the right perspective. According to Helvetius, education is more a matter of experience from one's routine interactions of life and less a matter of science.
3. Incorrect. This is not what Helvetius perceived. From 'The lowest mechanic, though he may not have distinct and accurate science, has yet...' it can be perceived that science was valued more.
4. Correct. This captures the essence of the paragraph. According to Helvetius, education is more a matter of experience from one's routine interactions of life and less a matter of science.

CAT Mock Test - 11 (November 13) - Question 12

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

One principle of life drives man. This principle is physical sensibility. What produces in him this sensibility? A feeling of love for pleasure, and of hatred for pain? It is from both these feelings joined together in man and always present in his mind that is formed what one calls in him the feeling of self-love. This self-love engenders the desire for happiness; the desire for happiness that for power; and it is this latter that in turn brings forth envy, avarice, ambition and generally all the artificial passions, which, under different names, are only a disguised love of power in us and applied to the various means of obtaining it.

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 12

1. Incorrect. Ambitions or passions do not direct man's life.
2. Incorrect. It is not explained in the paragraph that an altruist cannot be happy.
3. Incorrect. This is true; however, the essence is that every man is driven by self-love and self-love excites all artificial passions.
4. Correct. True and best captures the essence. The pursuit of power is paradoxical as this yearning for power makes one more vulnerable to one's passions.

CAT Mock Test - 11 (November 13) - Question 13

Directions: There is a sentence that is missing in the paragraph below. Look at the paragraph and decide in which blank (option 1, 2, 3, or 4) the following sentence would best fit.

Sentence: But this daunting reorganisation, or breakup, could also provide banks with a huge opportunity: higher margins, new revenue streams, and loftier valuations.

Paragraph: Banking is facing a future marked by restructuring. ___(1)___. But we also believe that banks that successfully manage this transition will become bigger and more profitable and grow faster. ___(2)___. In the next era, banks can realign to compete in new arenas, organised around distinct customer needs. ___(3)___. These arenas will expand far beyond the current definition of financial services, and they will also be hotly contested by a wide range of tech giants, tech start-ups, and other non-banks. ___(4)___. Ambitious banks can break free from stagnant valuations, thrive, and grow if they are willing to embrace the platforms of the future and make a few strategic, informed big bets.

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 13

The sentence appropriately fits blank 4. The sentence given refers to 'this daunting reorganisation'. The fact that reorganisation would be 'daunting' links well with the phrase 'hotly contested' in the sentence preceding blank 4. The given sentence also links with the sentence following blank 4. Since the reorganisation would make it possible to attain loftier valuations, thus '. . . banks can break free from stagnant valuations . . .' The sentence would not fit blank 1 or 2 as both sentences relate to the possible benefits of reorganisation and use of the contrast word 'but' in both sentences would make the context incorrect.

CAT Mock Test - 11 (November 13) - Question 14

Directions: Shivani is a private employee and she earns a fixed salary every month. She also pays tax. The tax is always calculated after the deductions if there exists any kind of deductions. The deductions are as follows:

(i) Shivani donates 40,000 in an orphanage which has 100% exemption.

(ii) The standard deductions is one - third of the annual salary.

After allowing the deductions, the remaining income is taxed, which is so called tax before rebate. The rate of the tax on her taxable income is 20%. As she saves 35,000 rupees towards the contributory provident fund and 25,000 towards public provident fund, 20% of each can be deducted from the tax calculated before the rebate. This is the tax after rebate.

There is a surcharge to be imposed and it is imposed after the rebate and the total amount to be paid is calculated. The surcharge is 5% on the tax after the rebate which amounts to 5000 rupees.

Q. The monthly income of Shivani in rupees?

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 14
Let the annual salary of Shivani be y rupees.

So the taxable income = (y - y/3 - 40000) = (2y/3 - 40000)

Tax = 20% of (2y/3 - 40000) = 2y/15 - 8000

As he saves 60000 so rebate = 20% of 60000 = 12000

Tax after the rebate = 2y/15 - 8000 - 12000 = 2y/15 - 2000

Surcharge = 5% of (2y/15 - 20000) = 5000

Or, y = 900000

The monthly salary of Shivani = 900000/12 = 75000

CAT Mock Test - 11 (November 13) - Question 15

Directions: Shivani is a private employee and she earns a fixed salary every month. She also pays tax. The tax is always calculated after the deductions if there exists any kind of deductions. The deductions are as follows:

(i) Shivani donates 40,000 in an orphanage which has 100% exemption.

(ii) The standard deductions is one - third of the annual salary.

After allowing the deductions, the remaining income is taxed, which is so called tax before rebate. The rate of the tax on her taxable income is 20%. As she saves 35,000 rupees towards the contributory provident fund and 25,000 towards public provident fund, 20% of each can be deducted from the tax calculated before the rebate. This is the tax after rebate.

There is a surcharge to be imposed and it is imposed after the rebate and the total amount to be paid is calculated. The surcharge is 5% on the tax after the rebate which amounts to 5000 rupees.

Q. If the boss of the Shivani deducts 8000 rupees per month during the first eleven month of the financial year as taxes, then find the amount paid by her in the last month of the financial year as a percentage of her monthly income.

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 15
Let the annual salary of Shivani be y rupees.

So the taxable income = (y - y/3 - 40000) = (2y/3 - 40000)

Tax = 20% of (2y/3 - 40000) = 2y/15 - 8000

As he saves 60000 so rebate = 20% of 60000 = 12000

Tax after the rebate = 2y/15 - 8000 - 12000 = 2y/15 - 20000

Surcharge = 5% of (2y/15 - 20000) = 5000

Or, y = 900000

Total amount to be paid = Tax + Surcharge

= (2y/15 - 20000) + 5000 = 105000 or y = 900000

So the amount to be paid in the last year of the financial year = (105000 - 11 x 8000) = 17000

The percentage required = 100 x 17000/75000 = 22.6%

CAT Mock Test - 11 (November 13) - Question 16

Directions: Read the following information and answer the questions that follow.

A school of management conducts its own test for its entrance procedure which is of 200 marks. However, academics and work experience details are considered with the marks obtained in group discussion and personal interview. After considering a candidate in all of these areas, a selection of a set of students is supposed to be made. The marking system is as follows:

The evaluation scale works as follows: A student scoring 200 marks in aptitude test will be given 80 marks on evaluation scale and an 80% in 10th exam will give a student 8 marks on evaluation scale.

Q. If Amit scores 8 marks in PI and is behind Raj, Tapesh and Sumit in total scores, then what can be the minimum total marks Sumit can have if these three students scored same marks in personal interview? (marks obtained in PI are integral).

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 16
The given table has been redrawn with new fields for scale mark calculation.

We obtain the ranks of various candidates as shown in the table.

If Amit scores 8 marks in PI, then his total score will be 97.5.

Now out of Raj, Tapesh and Sumit, Tapesh has the least marks. So the minimum marks in PI would be defined by him since he has to score more than Amit.

So, minimum marks in PI would be (97.5 - 86.8) = 11.

Hence the minimum score of Sumit would be (94 + 11) = 105.

Hence the correct option is (4).

CAT Mock Test - 11 (November 13) - Question 17

Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.

Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 17

Let the amount with Ramesh be x

Amount distributed among his friends = x/3

Amount given to Geeta = 3 (x - x/3)/ 4 = x/2

Amount left with Ramesh = (x - x/2 - x/3) = x/6 = 7500

Or, x = 45000

Let the amount with Peeyush, Qamar, Rita, Shubham and Teena be p, q, r, s, t respectively

Given p + q + r + s + t = 45000/3 = 15000 (i)

And p = t + r (ii)

Also t = q +r (iii)

And s = p + r (iv)

(ii) + (iii) + (iv)

The above arithmetic operation will give s = 3r + q (v)

From (i) and (v) r can take only a value = 1000(as notes are multiples of 1000)

Form (ii), (iii), and (iv) Shubham received the maximum amount that is 5000

So q = s - 3r = 5000 - 3(1000) = 2000

And t = q + r = 2000 + 1000 = 3000

And p = t + r = 3000 + 1000 = 4000

The required difference = 5000 - 1000 = 4000

CAT Mock Test - 11 (November 13) - Question 18

Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.

Q. What is the amount received by Geeta (in rupees)?

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 18
Let the amount with Ramesh be x

Amount distributed among his friends = x/3

Amount given to Geeta = 3 (x - x/3)/ 4 = x/2

Amount left with Ramesh = (x - x/2 - x/3) = x/6 = 7500

Or, x = 45000

Let the amount with Peeyush, Qamar, Rita, Shubham and Teena be p, q, r, s, t respectively

Given p + q + r + s + t = 45000/3 = 15000 (i)

And p = t + r (ii)

Also t = q +r (iii)

And s = p + r (iv)

(ii) + (iii) + (iv)

The above arithmetic operation will give s = 3r + q (v)

From (i) and (v) r can take only a value = 1000(as notes are multiples of 1000)

Form (ii), (iii), and (iv) Shubham received the maximum amount that is 5000

So q = s - 3r = 5000 - 3(1000) = 2000

And t = q + r = 2000 + 1000 = 3000

And p = t + r = 3000 + 1000 = 4000

The amount received by Geeta = 45000/2 = 22500

*Answer can only contain numeric values
CAT Mock Test - 11 (November 13) - Question 19

Directions: Answer the questions on the basis of the information given below.
In a game show, there are X number of multi–colour LEDs each of which can be operated by the pressing of a different button that is connected to each of the LEDs . If a multi–colour LED is initially OFF, pressing the button connected to the multi–colour LED once will make the multi–colour LED glow Green. Pressing it two times makes the multi–colour LED glow Blue. Pressing the button three times the same multi–colour LED glow Yellow. Pressing the same button four times the multi–colour LED will glow Red. While pressing it a fifth time the multi–colour LED will be switched OFF. In the same way, the cycle repeats itself or any number of buttons presses from the sixth time onwards.
The X multi–colour LEDs are all in one room and none is visible from outside this room. The buttons connected to these X multi–colour LEDs are all in a different room. Avinash, a participant in the game show, was asked to operate the buttons and try to figure out the respective button connected to each multi–colour LED. Every time he enters the room in which the multi–colour LEDs are present and checks the status of the multi–colour LEDs, it is counted as one visit. The objective of the game is to minimize his number of visits. It is known that all the multi–colour LEDs are initially OFF.

Q. If X= 1000 what is the minimum number of visits required?


Detailed Solution for CAT Mock Test - 11 (November 13) - Question 19

Each multi-colour LED has five different states i.e., OFF, Green, Blue, Yellow, and Red. With 1-visit the button connected to five multi-colour LEDs can be determined by pressing it a different number of times as follows, 

Note:- By pressing the button 5th time the state of LED is OFF
By pressing the button 6th time the state of LED is Green which is same as 1st state
Similarly by pressing 7th/12th/17th time the LED will glow Blue, which is unnecessary as you have to find the least number of visits to identify X number of LEDs which is discussed later. 
With 2-visit the button connected to twenty-five multi-colour LEDs can be determined by pressing it a different number of times as follows


Similarly, for any number of multi-colour LEDs X, the minimum number of visits required is n, where 5n ≥ X ≥ 5n-1.
The number of visits required for 1000 multi-colour LEDs is 5, as 55 ≥ 1000 ≥ 54.
Answer : 5

*Answer can only contain numeric values
CAT Mock Test - 11 (November 13) - Question 20

Directions: Answer the questions on the basis of the information given below.
In a game show, there are X number of multi–colour LEDs each of which can be operated by the pressing of a different button that is connected to each of the LEDs . If a multi–colour LED is initially OFF, pressing the button connected to the multi–colour LED once will make the multi–colour LED glow Green. Pressing it two times makes the multi–colour LED glow Blue. Pressing the button three times the same multi–colour LED glow Yellow. Pressing the same button four times the multi–colour LED will glow Red. While pressing it a fifth time the multi–colour LED will be switched OFF. In the same way, the cycle repeats itself or any number of buttons presses from the sixth time onwards.
The X multi–colour LEDs are all in one room and none is visible from outside this room. The buttons connected to these X multi–colour LEDs are all in a different room. Avinash, a participant in the game show, was asked to operate the buttons and try to figure out the respective button connected to each multi–colour LED. Every time he enters the room in which the multi–colour LEDs are present and checks the status of the multi–colour LEDs, it is counted as one visit. The objective of the game is to minimize his number of visits. It is known that all the multi–colour LEDs are initially OFF.

Q. If X is a multiple of 49 and Avinash was able to determine the button connected to each multi–colour LED in 5 visits, what is the maximum possible value of X?


Detailed Solution for CAT Mock Test - 11 (November 13) - Question 20

Each multi-colour LED has five different states i.e., OFF, Green, Blue, Yellow, and Red. With 1-visit the button connected to five multi-colour LEDs can be determined by pressing it a different number of times as follows, 

Note:- By pressing the button 5th time the state of LED is OFF
By pressing the button 6th time the state of LED is Green which is same as 1st state
Similarly by pressing 7th/12th/17th time the LED will glow Blue, which is unnecessary as you have to find the least number of visits to identify X number of LEDs which is discussed later. 
With 2-visit the button connected to twenty-five multi-colour LEDs can be determined by pressing it a different number of times as follows


Similarly, for any number of multi-colour LEDs X, the minimum number of visits required is n, where 5n ≥ X ≥ 5n-1.
With 5-visits Avinash can find the buttons for 55
= 3125 multi-colour LEDs. The required number of multi-colour LEDs is a multiple of 49, so the maximum multiple of 49 below 3125 is 3087.
Answer: 3087

*Answer can only contain numeric values
CAT Mock Test - 11 (November 13) - Question 21

Directions: Answer the questions on the basis of the information given below.
In a game show, there are X number of multi–colour LEDs each of which can be operated by the pressing of a different button that is connected to each of the LEDs . If a multi–colour LED is initially OFF, pressing the button connected to the multi–colour LED once will make the multi–colour LED glow Green. Pressing it two times makes the multi–colour LED glow Blue. Pressing the button three times the same multi–colour LED glow Yellow. Pressing the same button four times the multi–colour LED will glow Red. While pressing it a fifth time the multi–colour LED will be switched OFF. In the same way, the cycle repeats itself or any number of buttons presses from the sixth time onwards.
The X multi–colour LEDs are all in one room and none is visible from outside this room. The buttons connected to these X multi–colour LEDs are all in a different room. Avinash, a participant in the game show, was asked to operate the buttons and try to figure out the respective button connected to each multi–colour LED. Every time he enters the room in which the multi–colour LEDs are present and checks the status of the multi–colour LEDs, it is counted as one visit. The objective of the game is to minimize his number of visits. It is known that all the multi–colour LEDs are initially OFF.

Select the correct alternative from the given choices.
Due to a malfunction in the same setup every time a multi–colour LED is supposed to be glowing (i.e., not off), it does not necessarily glow in the colour that is supposed to glow in as per the description above. The Multi–colour LED glows in the four possible colours randomly. However, every fifth time the button is praised the multi–colour LED turns OFF just as it is supposed to. Avinash was informed about this malfunction and was asked to figure out the respective buttons connected to each multi–colour LED
Q. If Avinash was able to determine the button connected to each multi–colour LED in 5 visits, what is the maximum possible value of X?
 


Detailed Solution for CAT Mock Test - 11 (November 13) - Question 21

Each multi-colour LED has five different states i.e., OFF, Green, Blue, Yellow, and Red. With 1-visit the button connected to five multi-colour LEDs can be determined by pressing it a different number of times as follows, 

Note:- By pressing the button 5th time the state of LED is OFF
By pressing the button 6th time the state of LED is Green which is same as 1st state
Similarly by pressing 7th/12th/17th time the LED will glow Blue, which is unnecessary as you have to find the least number of visits to identify X number of LEDs which is discussed later. 
With 2-visit the button connected to twenty-five multi-colour LEDs can be determined by pressing it a different number of times as follows


Similarly, for any number of multi-colour LEDs X, the minimum number of visits required is n, where 5n ≥ X ≥ 5n-1.
When the multi-colour LED glows in a random colour in each instance, then one is unable to find the button associated with the multi-colour LED is pressed once/twice/thrice/four times. In that scenario, the only inference one can get by pressing the button is whether the multi-colour LED has turned OFF or ON. Therefore, the button effectively has only TWO
states and there are 5 visits so,
The maximum value of X is 2
5=32.
Answer : 32

CAT Mock Test - 11 (November 13) - Question 22

For what values of m is y = 0, if y = x2 + (2m + 1)x + m2 − 1 ? is a real number.

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 22
When x is real, then the discriminant of a quadratic equation (ax2 + bx + c = 0) ≥ 0

i.e. D = b2 − 4ac > 0

In this case, (2m + 1)2 ≥ 4(m2 − 1) 4m2 + 4m + 1 ≥ 4(m2 − 1)

Solving for m, we get m ≥ -1.25

CAT Mock Test - 11 (November 13) - Question 23

Jeevan and Neeru live in the same street and often walk towards each other's home. If they both leave their homes at 8:00 a.m, they will meet at 8:04 a.m. If Neeru leaves her home at 8:00 a.m, but Jeevan does not leave his home until 8:03 a.m, then they will meet at 8:05 a.m. How many minutes does it take for Jeevan to walk all the way to Neeru's home? Assume that each person walks at his or her own constant rate.

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 23

Let 'x' be Jeevan's walking speed and 'y' be Neeru's walking speed, both in feet per minute, and let 'd' denote the distance in feet between the houses.
Then, in 4 minutes, Jeevan travels 4x feet and Neeru travels 4y feet, so that (from the information given) d = 4x + 4y.
Similarly, one gets d = 2x + 5y
It follows that,
d = 5d - 4d = 5(4x + 4y) - 4(2x + 5y) = 12x
This implies that Jeevan will take 12 minutes to travel distance 'd'.

CAT Mock Test - 11 (November 13) - Question 24

If 22x+4 − 17 × 2x+1 = −4, then which of the following is true?

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 24

CAT Mock Test - 11 (November 13) - Question 25

Two circles 'a' and 'b' having equal radius 'k' intersect each other in such a way that each circle passes through the centre of the other circle. What is the ratio of the length of the common chord to the total circumference of both the circles?

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 25

Let AB be the common chord.
Here, radius of each circle = k
O' and O are the centres of both circles.
O'AO is an equilateral triangle with side k.
Its height will be k.
So, length of the chord =  = k
So, required ratio =

CAT Mock Test - 11 (November 13) - Question 26

For what value of m will the quadratic equation x2 + mx + 4 = 0 have real and equal roots?

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 26
The question states that the roots of the equation are real and equal.

The roots of a quadratic equation of the form ax2 + bx + c = 0 will be real and equal if its discriminant D

= b2 − 4ac = 0

In this case, b = m, a = 4 and c = 4

Therefore, m2 − 4 × 4 × 1 = 0

Or m2 = 16

Orr m = +4 or m = -4

CAT Mock Test - 11 (November 13) - Question 27

If  and  respectively are the roots of the quadratic equation  and , find the value of .

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 27

Given:  is a root of the equation mx2 + nx + p = 0.

So,  will be another root of the equation mx2 + nx + p = 0.

So,

mx2 + nx + p = x2 - 6x + 7
m = 1, n = -6 and p = 7
Similarly, if  is the root of the equation ay2 + by + c = 0, then  will be another root of the equation ay2 + by + c = 0.

So,

ay2 + by + c = y2 - 4y - 3
a = 1, b = -4 and c = -3

= 0

CAT Mock Test - 11 (November 13) - Question 28

Number N = 26 × 55 × 76 × 107 how many factors of N are even numbers?


Detailed Solution for CAT Mock Test - 11 (November 13) - Question 28
The prime factorization of 26 × 55 × 76 × 107 is 213 × 512 × 76

The total number of factors of N = 14 × 13 × 7 We need to find the total number of even factors. For this, let us find the total number of odd factors and then subtract this from the total number of factors. Any odd factor will have to be a combination of powers of only 5 and 7

Total number of odd factors of 213 × 512 × 76 = (12 + 1) × (6 + 1) = 13 × 7

Total number of factors = (13 + 1) × (12 + 1) × (6 + 1)

Total number of even factors =14 × 13 × 7 − 13 × 7

Number of even factors =13 × 13 × 7 = 1183

CAT Mock Test - 11 (November 13) - Question 29

Each side of a square subtends an angle of 60° at the tip of a tower of height h metres, standing at the centre of the square. If  is the length of each side of the square, then what is h2 equal to?

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 29

Let ABCD be a square having sides of length l. It is given that ∠BPC = 60°.
Let M be the mid-point of BC, then ∠ BPM = ∠CPM = 30°.
In triangle BMP, right-angled at M, we have:
PM tan 30 = BM
PM2 tan2 30 = BM2 ... (i)

Since BM = /2 and PM = , equation (1) becomes,

CAT Mock Test - 11 (November 13) - Question 30

If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m?

Detailed Solution for CAT Mock Test - 11 (November 13) - Question 30
We know that the product of the roots of a quadratic equation ax2 + bx + c = 0 is

c/a

In the given equation, x2 + mx + 24 = 0, the product of the roots = 24/1 = 24

The question states that one of the roots of this equation =1.5.

If x1 and x2 are the roots of the given quadratic equation and let x1 = 1.5

Therefore,

x2 = 24/15 = 16

In the given equation, m is the co-efficient of the x term. We know that the sum of the roots of the quadratic equation ax2 + bx + c = 0 is

−b/a = −m/1 = −m

Sum of the roots = 16 +1.5 = 17 = −17.5 Therefore, the value of m = -17.5

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