Question

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 :

Accepted Answer

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

Pass Percentage Analysis

Explanation

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