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  • Question
  • Madhu got 32% of the maximum marks in a Bank examination and failed by 8 marks. However, Kumar who took the same examination got 42% of the total marks and got 16 marks more than the cut-off marks. What was the cut-off marks in the examination ?


  • Options
  • A. 76.8
  • B. 86.8
  • C. 78.8
  • D. 84.8

  • Correct Answer
  • 84.8 

    Explanation

    Let 'M' be the maximum marks in the examination.

    Therefore, Madhu got 32% of M = 32M/100 = 0.32M
    And Kumar got 42% of M = 42M/100 = 0.42M.
    In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1)

    The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2)

    Now, Equating (1) and (2), we get
    0.1M = 24 => M = 24/0.1 = 240
    'M' is the maximum mark and is equal to 240 marks.
    We know that Madhu got 32% of the maximum marks.
    Therefore, Madhu got 32 x 240/100 = 76.8 marks.
    We also know that Madhu got 8 marks less than the cut-off marks.

    Therefore, the cut-off marks will be 8 marks more than what Madhu got
    = 76.8 + 8 = 84.8.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

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