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An analysis conducted by three B-schools about the MBA aspirants appearing for entrance exams shows that 20000 students appear in entrance exam of college A, 15000 students appear in entrance exam of college B and 30000 do not appear in entrance exam of college C. Also, 5000 students do not appear in any of the exams. If students have appeared in entrance exam of at most two colleges and those who appear for C do not appear for any other college, then find the number of students who appear for both A and B.
    Correct answer is '10000'. Can you explain this answer?
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    An analysis conducted by three B-schools about the MBA aspirants appea...

    From the given conditions,
    d = f = g = 0 (those who appear for C appear for none other) And, a + e + b + h = 30000 (those who do not appear for C)
    n(AυB) + h = 30000
    h =5000
    n(A υ B) = 25000
    n(A) + n(B) - n(A∩B) = 25000
    n(A) + n(B) - e = 25000
    e = 20000 + 15000 - 25000
    e = 10000
    Answer: 10000
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    An analysis conducted by three B-schools about the MBA aspirants appea...
    Solution:

    Let's analyze the given information step by step to find the number of students who appear for both A and B.

    Step 1: Identify the number of students who appear for college A, college B, and college C.

    - Number of students appearing for college A = 20,000
    - Number of students appearing for college B = 15,000
    - Number of students not appearing for college C = 30,000

    Step 2: Find the number of students who do not appear in any of the exams.

    - Number of students who do not appear in any exam = 5,000

    Step 3: Determine the number of students who appear for at most two colleges.

    - Let's assume the number of students who appear for both A and B is x.
    - Number of students who appear for college A only = 20,000 - x
    - Number of students who appear for college B only = 15,000 - x

    Step 4: Calculate the total number of students.

    - Total number of students = Number of students appearing for college A + Number of students appearing for college B + Number of students not appearing for college C + Number of students who do not appear in any exam
    - Total number of students = 20,000 + 15,000 + 30,000 + 5,000
    - Total number of students = 70,000

    Step 5: Apply the principle of inclusion-exclusion.

    - Total number of students = Number of students appearing for college A only + Number of students appearing for college B only + Number of students who appear for both A and B + Number of students who do not appear in any exam
    - 70,000 = (20,000 - x) + (15,000 - x) + x + 5,000
    - 70,000 = 40,000 - 2x + 5,000
    - 2x = 40,000 + 5,000 - 70,000
    - 2x = -25,000
    - x = -12,500

    Step 6: Analyze the solution.

    - The solution x = -12,500 is not possible as it represents a negative number of students.
    - Therefore, there is an error in the given information or the analysis conducted by the B-schools.

    Conclusion:

    Based on the given information, there is an error in the analysis conducted by the B-schools as it leads to a negative number of students who appear for both A and B. The correct answer cannot be determined with the given information.
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    An analysis conducted by three B-schools about the MBA aspirants appearing for entrance exams shows that 20000 students appear in entrance exam of college A, 15000 students appear in entrance exam of college B and 30000 do not appear in entrance exam of college C. Also, 5000 students do not appear in any of the exams. If students have appeared in entrance exam of at most two colleges and those who appear for C do not appear for any other college, then find the number of students who appear for both A and B.Correct answer is '10000'. Can you explain this answer?
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    An analysis conducted by three B-schools about the MBA aspirants appearing for entrance exams shows that 20000 students appear in entrance exam of college A, 15000 students appear in entrance exam of college B and 30000 do not appear in entrance exam of college C. Also, 5000 students do not appear in any of the exams. If students have appeared in entrance exam of at most two colleges and those who appear for C do not appear for any other college, then find the number of students who appear for both A and B.Correct answer is '10000'. 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 An analysis conducted by three B-schools about the MBA aspirants appearing for entrance exams shows that 20000 students appear in entrance exam of college A, 15000 students appear in entrance exam of college B and 30000 do not appear in entrance exam of college C. Also, 5000 students do not appear in any of the exams. If students have appeared in entrance exam of at most two colleges and those who appear for C do not appear for any other college, then find the number of students who appear for both A and B.Correct answer is '10000'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An analysis conducted by three B-schools about the MBA aspirants appearing for entrance exams shows that 20000 students appear in entrance exam of college A, 15000 students appear in entrance exam of college B and 30000 do not appear in entrance exam of college C. Also, 5000 students do not appear in any of the exams. If students have appeared in entrance exam of at most two colleges and those who appear for C do not appear for any other college, then find the number of students who appear for both A and B.Correct answer is '10000'. Can you explain this answer?.
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