Multiple choice

Passage

The following questions are accompanied by two statements or three statements A, B and C. You have to determine which statement(s) is/are necessary/sufficient to answer the question.

12 men can complete a work in 9 days. In how many days 15 women can complete the same work?A. 10 women can complete the same work in 18 days.B. 3 men are as efficient as 5 women.C. 18 men can complete the same work in 6 days.

  1. (a) Only A and B together

  2. (b) Either A alone or B alone

  3. (c) Only B alone

  4. (d) Only A alone

  5. (e) Any two of the three together
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From the question, 12 men work for 9 days (108 man-days). Statement A gives the rate for women, which allows calculating their efficiency. Statement B provides a direct conversion between men and women, allowing the calculation of 15 women's work rate. Either statement alone is sufficient to relate the work capacity of men to women.

AI explanation

The question gives the total work as 12 men times 9 days, equaling 108 man-days. Statement A gives the total work as 10 women times 18 days, equaling 180 woman-days, which directly provides the conversion needed to find that 15 women take 180/15 = 12 days. Statement B provides the efficiency ratio 3 men = 5 women, meaning 1 man equals 5/3 women, so 108 man-days equals 108 * 5/3 = 180 woman-days, again showing 15 women take 12 days. Either statement A alone or statement B alone is sufficient.

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