gs1medium

A candidate attempted 12 questions and secured full marks in all of them. If he obtained 60% in the test and all questions carried equal marks, then what is the number of questions in the test?

  1. A.36
  2. B.30
  3. C.25
  4. D.20
▶ Answer & Explanation

Correct answer: D. 20

Let the total number of questions in the test be N and the marks for each question be M. The candidate attempted 12 questions, all correctly, so the total marks obtained are 12*M. This score represents 60% of the total marks of the test. The total marks of the test are N*M. Therefore, 12*M = 0.60 * (N*M). Simplifying this equation by dividing both sides by M (since M cannot be zero), we get 12 = 0.60 * N. Solving for N, we find N = 12 / 0.60 = 12 / (6/10) = 12 * (10/6) = 20.

Source: UPSC gs1 2010

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