3 men or 5 women or 8 boys can finish a work in 38 days. How many days will be required to complete the same work by 6 men, 10 women and 6 boys together?

A 5

B 6

C 7

D None

Correct Answer: Option D

Solution: 3 men = 5 women = 8 boys

6 men = 10 women = 16 boys

(6 men + 10 women + 6 boys) = (16 boys + 16 boys + 6 boys) = 38 boys

Now, 8 boys can do a work = 38 days

1 " " " " " = 38 \( \times \) 8 days

38 " " " " " = 38 \( \times \) 8 / 38 = 8 days