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CAT 2018 Slot 1 — QA Question 7

PercentageEasy

In an examination, the maximum possible score is N while the pass mark is 45% of N. A candidate obtains 36 marks, but falls short of the pass mark by 68%. Which one of the following is then correct?

Answer & solution

  • A

    N ≤ 200

  • B

    201 ≤ N ≤ 242

  • 243 ≤ N ≤ 252

  • D

    N ≥ 253

Solution

Passing marks = 45% of N

As 36 marks are short of the pass marks by 68%, it means the cadidate got (100 - 68 = ) 32% of the passing marks.

⇒ 36 = 32% of 45% of N

∴ 36 = 0.32 × 0.45 × N

∴ N = 360.32×0.45 = 250

Hence, option (c).

CAT 2018 Slot 1 QA Q7: In an examination, the maximum possible score is N while the pass mark is 45% of N. A candidate obtains 36 mar — Solution | TheCATExam