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Q.

A 10 hectare field is reaped by 2 men, 3 women and 4 children together in 10 days. If working capabilities of Aman, a woman and a child are in the ratio 5:4:2, then a 16 hectare field will be reaped by 6 men, 4 women and 7 children in 

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a

6 days 

b

5 days

c

8 days

d

7 days

answer is D.

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Detailed Solution

2 men, 3 women and 4 children can reap one hector in one day

Let working capacity ratio is x

Hence the total working capaciity is 25x+34x+42x=30x

30x=1x=130

To complete 16 hectors, the man power is 65x+44x+72x=60x

it implies that 6030=2

These people can reap 2 hectors per day

hence total number of days required to complete the task is 162=8

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