All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >  Answer the following question based on the in... Start Learning for Free
SaveJoin the Discussion on the App
Answer the following question based on the information given below.
In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.
Chart 1 gives the distribution of questions among the students.
However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.
Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.
Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.
Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.
 
Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension?
    Correct answer is '10'. Can you explain this answer?
    FREE This question is part of
    Download PDF Attempt Test
    		Download PDF Attempt this Test
    Verified Answer
    Answer the following question based on the information given below.In ...
    The students exchanged questions among themselves, number of students having questions from each category will remain the same as before exchange.
    Let the number of students who initially had questions on Mathematics and have questions on Reasoning after exchange be a.
    Let the number of students who initially had questions on Mathematics and after exchange have questions on Grammar be b.
    Let the number of students who initially had questions on Grammar and after exchange have questions on Interpretation be c.
    Let the number of students who initially had questions on Interpretation and after exchange have questions on Mathematics be d.
    Tabulating the given data we have the table:
    R = Reasoning M = Mathematics G = Grammer I = Interpretation C = Comprehension Out of the students who initially had questions on Interpretation, the number of students having questions on Mathematics is d and the number of students having questions on Grammar is I I - a - b - d. v These two numbers are equal, we get, 11 - a - b - d = d 2af + a + b = 11 ••• We are supposed to minimize the number of students who now have questions on Mathematics and initially had questions on Comprehension, i.e. (15 - d), we need to maximize the value of of.
    Now maximum possible value of d is 5, when a + b = 1 since a and b cannot have negative values.
    The minimum possible value of (15 - d) is 10.
    Answer: 10
    View all questions of this test
    < Previous Question Next Question >
    Explore Courses for CAT exam

    Similar CAT Doubts

    In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.If out of the students who initially had questions on Mathematics, the number of students who now have questions on Reasoning is twice the number of students now having questions on Grammar, then at least how many students now have questions on Comprehension with them who initially had questions on Mathematics with them? Correct answer is '20'. Can you explain this answer?

    In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.If out of the students who initially had questions on Mathematics with them, the number of students who now have questions on Comprehension is the maximum possible; then out of the students who now have questions on Grammar category what is the maximum possible number of students who initially had questions on Comprehension category? Correct answer is '16'. Can you explain this answer?

    In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Comprehension, what is the minimum number of students who now have questions on Reasoning category? Correct answer is '21'. Can you explain this answer?

    Read the passage and answer the questions that followMany readers, I suspect, will take the title of this article [Women, Fire, and Dangerous Things] as suggesting that women, fire, and dangerous things have something in common—say, that women are fiery and dangerous. Most feminists I’ve mentioned it to have loved the title for that reason, though some have hated it for the same reason. But the chain of inference—from conjunction to categorization to commonality—is the norm. The inference is based on the common idea of what it means to be in the same category: things are categorized together on the basis of what they have in common. The idea that categories are defined by common properties is not only our everyday folk theory of what a category is, it is also the principle technical theory—one that has been with us for more than two thousand years.The classical view that categories are based on shared properties is not entirely wrong. We often do categorize things on that basis. But that is only a small part of the story. In recent years it has become clear that categorization is far more complex than that. A new theory of categorization, called prototype theory, has emerged. It shows that human categorization is based on principles that extend far beyond those envisioned in the classical theory. One of our goals is to survey the complexities of the way people really categorize. For example, the title of this book was inspired by the Australian aboriginal language Dyirbal, which has a category, balan, that actually includes women, fire, and dangerous things. It also includes birds that are not dangerous, as well as exceptional animals, such as the platypus, bandicoot, and echidna. This is not simply a matter of categorization by common properties.Categorization is not a matter to be taken lightly. There is nothing more basic than categorization to our thought, perception, action and speech. Every time we see something as a kind of thing, for example, a tree, we are categorizing. Whenever we reason about kinds of things—chairs, nations, illnesses, emotions, any kind of thing at all—we are employing categories. Whenever we intentionally perform any kind of action, say something as mundane as writing with a pencil, hammering with a hammer, or ironing clothes, we are using categories. The particular action we perform on that occasion is a kind of motor activity, that is, it is in a particular category of motor actions. They are never done in exactly the same way, yet despite the differences in particular movements, they are all movements of a kind, and we know how to make movements of that kind. And any time we either produce or understand any utterance of any reasonable length, we are employing dozens if not hundreds of categories: categories of speech sounds, of words, of phrases and clauses, as well as conceptual categories. Without the ability to categorize, we could not function at all, either in the physical world or in our social and intellectual lives.If linguistic experts cannot perceive how women, fire, and dangerous things in the category balan have at least one thing in common, it follows that

    Answer the following question based on the information given below.Vijay has just started saving enough money and he wants to learn how to invest it in the best possible manner. His friend Amit has agreed to help him. Amit tells Vijay that he invests his money in four broad categories: fixed deposits, equities, equity mutual funds and debt mutual funds. Amit saves Rs. 40,000 every year and deposits all of it across these four categories on 1st April of every year. He started investing in 2004 with equal amounts in the four categories, but since then, the break-up of his deposits across these four categories has differed. However, he ensures that 50% of his yearly savings go into equities and equity mutual funds and the remaining 50% in the other 2 categories.Also, Amit maintains a data table recording the total amount he has in each of these fourcategories as on 1st April of every year (table given below). It is also known that the interest rates on fixed deposits have been decreasing: they were 10%, 9% and 8% per annum in the years 2004-05, 2005-06, and 2006-07 respectively. Amit also remembers that the percentage returns on equities in 2006-07 were five times the percentage returns on debt mutual funds in the same year and the percentage returns on equity mutual funds in 2004-05 and 2005-06 were half of the percentage returns on equities in 2005-06 and 2006-07 respectively. Amit does not remember too many details besides that.Q. What were the percentage returns on equities in the year 2004-05? Correct answer is '30'. Can you explain this answer?

    Top Courses for CATView all

    Top Courses for CAT

    Answer the following question based on the information given below.In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension?Correct answer is '10'. Can you explain this answer?
    Question Description
    Answer the following question based on the information given below.In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension?Correct answer is '10'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Answer the following question based on the information given below.In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension?Correct answer is '10'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Answer the following question based on the information given below.In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension?Correct answer is '10'. Can you explain this answer?.
    Solutions for Answer the following question based on the information given below.In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension?Correct answer is '10'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
    Here you can find the meaning of Answer the following question based on the information given below.In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension?Correct answer is '10'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Answer the following question based on the information given below.In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension?Correct answer is '10'. Can you explain this answer?, a detailed solution for Answer the following question based on the information given below.In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension?Correct answer is '10'. Can you explain this answer? has been provided alongside types of Answer the following question based on the information given below.In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension?Correct answer is '10'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Answer the following question based on the information given below.In a certain training institute which had exactly 200 students, each student was given exactly one question from one among the following categories: Reasoning, Mathematics, Grammar, Interpretation and Comprehension.Chart 1 gives the distribution of questions among the students.However, since the students were not happy with the type of questions each one had received, they exchanged their questions with other students in such a way that none of them had a question of the same category as they had earlier.Chart 2 shows the distribution of number of students who initially had questions from Reasoning category and exchanged their questions across students of various categories.Further, exactly 8 students who originally had questions on Interpretation now have questions on Reasoning with them. Also 8 students who initially had questions on comprehension now have questions on Interpretation category.Also out of the students who initially had questions on Grammar, 3 students now have questions on Reasoning and 16 have questions on Mathematics category.Q.Out of the students who initially had questions on Interpretation,if the number of students who now have questions on Mathematics and Grammar is the same, then at least how many of the students who now have questions on Mathematics initially had questions on Comprehension?Correct answer is '10'. Can you explain this answer? tests, examples and also practice CAT tests.
    Explore Courses for CAT exam

    Top Courses for CAT

    Explore Courses

    Suggested Free Tests

    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev
    Get App
    © EduRev
    Education Revolution
    Follow Us
    Signup to see your scores go up
    within 7 days!
    Takes less than 10 seconds to signup