cat 2024 Complete Paper Solution | Slot 2
Question 1.
Bina incurs 19% loss when she sells a product at Rs. 4860 to Shyam, who in turn sells this product to Hari. If Bina would have sold this product to Shyam at the purchase price of Hari, she would have obtained 17% profit. Then, the profit, in rupees, made by Shyam is
Bina incurs 19% loss when she sells a product at Rs. 4860 to Shyam, who in turn sells this product to Hari. If Bina would have sold this product to Shyam at the purchase price of Hari, she would have obtained 17% profit. Then, the profit, in rupees, made by Shyam is
Instructions
For the following questions answer them individually
For the following questions answer them individually
Question 2.
There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: Science has officially crowned us superior to our early-rising brethren.
Paragraph: My fellow night owls, grab a strong cup of coffee and gather around: I have great news. ___(1)___. For a long time, our kind has been unfairly maligned. Stereotyped as lazy and undisciplined. Told we ought to be morning larks. Advised to go to bed early so we can wake before 5am and run a marathon before breakfast like all high-flyers seem to do. Now, however, we are having the last laugh. ___(2)___. It may be a tad more complicated than that. A study published last week, which you may have already seen while scrolling at 1am, suggests that staying up late could be good for brain power. ___(3)___. Is this study a thinly veiled PR exercise conducted by a caffeine-pill company? Nope, it’s legit. ___(4)___. Research led by academics at Imperial College London studied data on more than 26,000 people and found that “self-declared ‘night owls’ generally tend to have higher cognitive scores”.
There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: Science has officially crowned us superior to our early-rising brethren.
Paragraph: My fellow night owls, grab a strong cup of coffee and gather around: I have great news. ___(1)___. For a long time, our kind has been unfairly maligned. Stereotyped as lazy and undisciplined. Told we ought to be morning larks. Advised to go to bed early so we can wake before 5am and run a marathon before breakfast like all high-flyers seem to do. Now, however, we are having the last laugh. ___(2)___. It may be a tad more complicated than that. A study published last week, which you may have already seen while scrolling at 1am, suggests that staying up late could be good for brain power. ___(3)___. Is this study a thinly veiled PR exercise conducted by a caffeine-pill company? Nope, it’s legit. ___(4)___. Research led by academics at Imperial College London studied data on more than 26,000 people and found that “self-declared ‘night owls’ generally tend to have higher cognitive scores”.
Question 3.
The coordinates of the three vertices of a triangle are: (1, 2), (7, 2), and (1, 10). Then the radius of the incircle of the triangle is
The coordinates of the three vertices of a triangle are: (1, 2), (7, 2), and (1, 10). Then the radius of the incircle of the triangle is
Question 4.
Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your answer.
1. No known real researcher of human behaviour would say that gender is all nature or all nurture.
2. The evidence for a biological basis for gender certainly doesn’t mean we should be complacent in the face of sexism.
3. Many people are uncomfortable with the idea that gender is not purely a social construct.
4. Despite this empirical truth, researchers who study the biological basis of gender often face political pushback.
5. There’s a political preference for gender to be only a reflection of social factors and so entirely malleable.
Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your answer.
1. No known real researcher of human behaviour would say that gender is all nature or all nurture.
2. The evidence for a biological basis for gender certainly doesn’t mean we should be complacent in the face of sexism.
3. Many people are uncomfortable with the idea that gender is not purely a social construct.
4. Despite this empirical truth, researchers who study the biological basis of gender often face political pushback.
5. There’s a political preference for gender to be only a reflection of social factors and so entirely malleable.
Question 5.
A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of the mangoes, 96 bananas and 40% of the apples. At the end of the day, he ends up selling 50% of the fruits. The smallest possible total number of fruits in the stock at the beginning of the day is
A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells half of the mangoes, 96 bananas and 40% of the apples. At the end of the day, he ends up selling 50% of the fruits. The smallest possible total number of fruits in the stock at the beginning of the day is
Question 6.
There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: [T]he Europeans did not invent globalization.
Paragraph: The first phase of globalization occurred long before the introduction of either steam or electric power…Chinese consumers at all social levels consumed vast quantities of spices, fragrant woods and unusual plants. The peoples of Southeast Asia who lived in forests gave up their traditional livelihoods and completely reoriented their economies to supply Chinese consumers….___(1)___. These exchanges of the year 1000 opened some of the routes through which goods and peoples continued to travel after Columbus traversed the mid- Atlantic. ___(2)___. Yet the world of 1000 differed from that of 1492 in important ways….the travellers who encountered one another in the year 1000 were much closer technologically. ___(3)___. They changed and augmented what was already there since 1000. ___(4)___. If globalization hadn’t yet begun, Europeans wouldn’t have been able to penetrate the markets in so many places as quickly as they did after 1492.
There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: [T]he Europeans did not invent globalization.
Paragraph: The first phase of globalization occurred long before the introduction of either steam or electric power…Chinese consumers at all social levels consumed vast quantities of spices, fragrant woods and unusual plants. The peoples of Southeast Asia who lived in forests gave up their traditional livelihoods and completely reoriented their economies to supply Chinese consumers….___(1)___. These exchanges of the year 1000 opened some of the routes through which goods and peoples continued to travel after Columbus traversed the mid- Atlantic. ___(2)___. Yet the world of 1000 differed from that of 1492 in important ways….the travellers who encountered one another in the year 1000 were much closer technologically. ___(3)___. They changed and augmented what was already there since 1000. ___(4)___. If globalization hadn’t yet begun, Europeans wouldn’t have been able to penetrate the markets in so many places as quickly as they did after 1492.
Question 7.
If a, b and c are positive real numbers such that a > 10 and , then the greatest possible integer value of a is
If a, b and c are positive real numbers such that a > 10 and , then the greatest possible integer value of a is
Question 8.
The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
Different from individuals, states conduct warfare operations using the DIME model— “diplomacy, information, military, and economics.” Most states do everything they can to inflict pain and confusion on their enemies before deploying the military. In fact, attacks on vectors of information are a well-worn tactic of war and usually are the first target when the charge begins. It’s common for telecom data and communications networks to be routinely monitored by governments, which is why the open data policies of the web are so concerning to many advocates of privacy and human rights. With the worldwide adoption of social media, more governments are getting involved in low-grade information warfare through the use of cyber troops. According to a study by the Oxford Internet Institute in 2020, cyber troops are “government or political party actors tasked with manipulating public opinion online.” The Oxford research group was able to identify 81 countries with active cyber troop operations, utilizing many different strategies to spread false information, including spending millions on online advertising.
The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
Different from individuals, states conduct warfare operations using the DIME model— “diplomacy, information, military, and economics.” Most states do everything they can to inflict pain and confusion on their enemies before deploying the military. In fact, attacks on vectors of information are a well-worn tactic of war and usually are the first target when the charge begins. It’s common for telecom data and communications networks to be routinely monitored by governments, which is why the open data policies of the web are so concerning to many advocates of privacy and human rights. With the worldwide adoption of social media, more governments are getting involved in low-grade information warfare through the use of cyber troops. According to a study by the Oxford Internet Institute in 2020, cyber troops are “government or political party actors tasked with manipulating public opinion online.” The Oxford research group was able to identify 81 countries with active cyber troop operations, utilizing many different strategies to spread false information, including spending millions on online advertising.
Question 9.
A function f maps the set of natural numbers to whole numbers, such that f(xy) = f(x)f(y) + f(x) + f(y) for all x, y and f(p) = 1 for every prime number p. Then, the value of f(160000) is
A function f maps the set of natural numbers to whole numbers, such that f(xy) = f(x)f(y) + f(x) + f(y) for all x, y and f(p) = 1 for every prime number p. Then, the value of f(160000) is
Question 10.
The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
John Cleese told Fox News Digital that comedians do not have the freedom to be funny in 2022. “There’s always been limitations on what they’re allowed to say,” Cleese said. “I think it’s particularly worrying at the moment because you can only create in an atmosphere of freedom, where you’re not checking everything you say critically before you move on. What you have to be able to do is to build without knowing where you’re going because you’ve never been there before. That’s what creativity is — you have to be allowed to build. And a lot of comedians now are sitting there and when they think of something, they say something like, ‘Can I get away with it? I don’t think so. So and so got into trouble, and he said that, oh, she said that.’ You see what I mean? And that’s the death of creativity.”
The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
John Cleese told Fox News Digital that comedians do not have the freedom to be funny in 2022. “There’s always been limitations on what they’re allowed to say,” Cleese said. “I think it’s particularly worrying at the moment because you can only create in an atmosphere of freedom, where you’re not checking everything you say critically before you move on. What you have to be able to do is to build without knowing where you’re going because you’ve never been there before. That’s what creativity is — you have to be allowed to build. And a lot of comedians now are sitting there and when they think of something, they say something like, ‘Can I get away with it? I don’t think so. So and so got into trouble, and he said that, oh, she said that.’ You see what I mean? And that’s the death of creativity.”
