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  >  In a certain training institute which had exa... Start Learning for Free
SaveJoin the Discussion on the App
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?
    FREE This question is part of
    Download PDF Attempt Test
    		Download PDF Attempt this Test
    Verified Answer
    In a certain training institute which had exactly 200 students, each s...
    Out of the students who initially had questions from Mathematics category, the number of students who now have questions on Reasoning is twice the number of students now having questions on Grammar. a - 2 b
    Number of students now having question on Comprehension with them who initially had questions on Mathematics is (29 + c - a - b). v a = 2b, the expresssion would reduce to 29 + c - 3b Now, (29 + c - 3b) would be minimum when c = 0 and b is maximum possible.
    Now, the maximum possible value of (a + b) is 11 from (11 - a - b - d), or maximum possible value of 2b + b [for a = 2b] i.e. 3b is 11.
    The maximum possible value of b = 3 The minimum possible value of (29 + c - 3b) will be 20.
    Answer: 20
    View all questions of this test
    < Previous Question Next Question >
    Explore Courses for CAT exam

    Similar CAT Doubts

    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 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?

    Group QuestionAnswer the following question based on the information given below.Directorate of Techincal Education (DTE) holds an admission counseling round. DTE categorizes the institutes in four different types A, B, C and D. DTE also divides the students into four categories according to their percentiles. In each type of institute, a certain number of seats are reserved for each percentile range and each student has to select exactly one type of institute as their choice. Table 1 shows the percentage breakup of students of various categories interested in the different categories of colleges. Table 2 shows the number of students interested per seat. Table 3 shows the number of colleges in each category and the number of students per college. Table 1 : Percentage of students interested in a college category with respect to the number of students with the same range of percentiles.Table 2 : Students interested per seatTable 3 : Number of seats in an institute and number of institute in a category of college the students with 80 and above percentileQ. Which of the following MBA institutes has the least number ofstudents interested?

    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

    Top Courses for CATView all

    Top Courses for CAT

    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?
    Question Description
    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? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
    Solutions for 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 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 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution for 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? 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!
    Access 1000+ FREE Docs, Videos and Tests
    Takes less than 10 seconds to signup