Multiple choice

  1. In how many days 10 men can finish the work?I. 10 women finish the work in 6 days.II. 10 men and 10 women finish the work in 24/7 days.III. If 10 women work 3 days and after that 10 men are deployed to work for women, the rest work is finished in 4 days.

  1. I and II are sufficient

  2. I and III are sufficient

  3. Any two of three are sufficient.

  4. II and III are sufficient.

  5. None
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M and W be the work rates of one man and one woman. I: 10W = 1/6. II: 10M + 10W = 7/24. III: 30W + 40M = 1. Any two equations are sufficient to find M and W, and thus the time for 10 men.

AI explanation

Using the linear equation method for time and work, let m be the one-day work of one man and w be the one-day work of one woman. Statements I and II provide the equations 10w = 1/6 and 10m + 10w = 7/24, which easily solve for m. Statements I and III provide 10w = 1/6 and 30w + 40m = 1, which also uniquely solves for m. Finally, statements II and III provide 10m + 10w = 7/24 and 30w + 40m = 1, giving another independent system to find m. Because any pair of statements establishes a solvable system, any two of the three are sufficient.

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