Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? In how many days will 5 men complete a work? (I) 2 women, 5 men and 3 children complete a work in 8 days. (II) 6 women can complete the same work in 16 days.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I: 2W + 5M + 3C = 1/8 of work per day. This has three unknowns (W,M,C work rates). Statement II: 6W = 1/16 of work per day, so W = 1/96. But we still need M and C's individual rates or their relationship. Even combining both, we have 2 equations with 3 unknowns (M, C, and total work). The statements together are insufficient.