csatmedium
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 correct ?
- A.Success rate is higher for women.
- B.Overall success rate in below 50%.
- C.More men cleared the examination than women.
- D.Both (a) and (b) above are correct.
▶ Answer & Explanation
Correct answer: C. More men cleared the examination than women.
Let's assume there are 100 candidates. This means there are 60 men and 40 women. The number of men clearing the qualifying test is 70% of 60, which is 42. The number of women clearing is 75% of 40, which is 30. In the final test, 80% of the 42 men are successful, totaling 33.6. And 70% of the 30 women are successful, totaling 21. Therefore, more men cleared the examination than women.
Source: UPSC csat 2015