Quantitative Aptitude Ques 1994

Question: A man, a woman or a boy can do a piece of work in 3, 4 and 12 days, respectively. The number of boys that must assist one man and one woman to do the work in one day, is

Options:

A) 6

B) 8

C) 9

D) 5

Show Answer

Answer:

Correct Answer: D

Solution:

  • 1 man’s 1 day’s work $ =\frac{1}{3} $ 1 woman’s 1 day’s work $ =\frac{1}{4} $ 1 boy’s 1 day’s work $ =\frac{1}{12} $ Let x boys must be assist. $ \frac{1}{3}+\frac{1}{4}+\frac{x}{12}=1 $

$ \Rightarrow $ $ \frac{x}{12}=1-\frac{7}{12} $

$ \Rightarrow $ $ \frac{x}{12}=\frac{5}{12} $
$ \Rightarrow $ $ x=5 $