Pass Percentage Analysis

CMAT 2025 · Quantitative Techniques & Data Interpretation · Medium · Percentages

Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying test and entered the final test, where 80% men and 70% women were successful. Which of the following statements is/are correct ?

A. Success rate is higher for women. B. More men cleared the examination than women. C. Success rate is higher for men. D. Overall success rate is below 50%

Choose the correct answer from the options given below :

  1. A.

    A only

  2. B.

    A and D only

  3. C.

    B and D only

  4. D.

    B and C only

Answer

D

Explanation

Assume total candidates = 100. Men = 60, Women = 40. Successful men = 60×0.70×0.80=33.660 \times 0.70 \times 0.80 = 33.6. Successful women = 40×0.75×0.70=2140 \times 0.75 \times 0.70 = 21. Success rate for men = 33.6/60=56%33.6 / 60 = 56\%. Success rate for women = 21/40=52.5%21 / 40 = 52.5\%. Hence, success rate is higher for men (C) and more men cleared the exam than women (B). Statements B and C are correct.

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