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5 Men can do a piece of work in 6 days. 6 Women can do 40% of same work in 4 days and 3 Children can do 75% of same work in 6 days. If 2 Men, 3 Women and 1 Child start work alternately, then who will be the last to complete the work?


1. Men
2. Women
3. Child
4. can't be determined
5. None of these

1 Answer

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Best answer
Correct Answer - Option 1 : Men

Given:

5 men can do work in 6 days

6 women can do 40% work in 4 days

3 children can do 75% in 6 days

Calculation:

5 Men = 6 days

⇒ 2 Men = \(\frac{6\; \times \;5}{2}\) = 15 days

⇒ 6 Women = 10 days

⇒ 3 Children = 8 days

⇒ 3 Women = \(\frac{10\; \times \;6}{3}\) = 20 days

⇒ 1 Children = 8 × 3 = 24 days

Total work = LCM of 15, 20 and 24 = 120

2 Men’s one day’s work = 8

3 Women’s one day’s work = 6

1 Child’s one day’s work = 5

Total work of 3 days = 19

Total work of 18 days = 114

Now, it’s 2 Men’s terms

∴ 2 Men will be the last to complete the work.

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