Quantitative Aptitude Ques 970

Question: 10 men or 18 women can do a piece of work in 38 days. In how many days will 6 men and 12 women do it?

Options:

A) 40

B) 30

C) 21

D) 25

Show Answer

Answer:

Correct Answer: A

Solution:

  • 18 women = 10 man

$ \therefore $ 1 woman $ =\frac{10}{18} $ man $ =\frac{5}{9} $ man

$ \Rightarrow $ 12 women $ =\frac{5}{9}\times 12 $ man

$ \therefore $ B men and 12 women $ =( 6+\frac{20}{3} ) $ man $ =\frac{38}{3} $ men Let the number of days be x. Then, $ \frac{\frac{38}{3}}{10}=\frac{38}{x} $
$ \Rightarrow $ $ x=30 $ days

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