Multiple choice

In how many days 6 men and 5 women can complete the work working together? Statement I: The ratio of efficiency of man to woman is 2:1 Statement II: 9 Women can complete three-five of the work in 15 days. Statement III: 6 Men and a child together can complete 1/4th work in 12 days while 6 women and the child together can complete two-third of the work in 16 days.

  1. None of these

  2. All statements together are sufficient

  3. Any two are sufficient

  4. I and II or III

  5. All statements together are not sufficient
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From Statement II: 9 women do 3/5 work in 15 days, so 9 women do 1/5 work in 5 days, meaning 9 women complete work in 25 days. With Statement I giving efficiency ratio 2:1, we can find man and woman rates. Combined rate of 6 men and 5 women can be calculated. Statement III introduces a child and creates alternative solution paths. Either pair (I+II) or (II+III) is sufficient.

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