SATHEE: Quantitative Aptitude Ques 1870

Quantitative Aptitude Ques 1870

Question: 25 men can reap a field in 20 days. When should 15 men leave the work, if the whole field is to be reaped in $ 37\frac{1}{2} $ days after they leave the work?

Options:

A) After 5 days

B) After 10 days

C) After 9 days

D) After 7 days

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Let 15 men work for m days. Work done in 1 days $ \frac{m}{20} $ Remaining work $ =( 1-\frac{m}{20} ) $ 25 men’s 1 day’s work $ =\frac{1}{20} $ 1 man’s 1 day’s work $ =\frac{1}{20}\times \frac{1}{25}=\frac{1}{500} $ 10 men’s 1 day’s work $ =\frac{1}{500}\times 10=\frac{1}{50} $ 10 men’s $ \frac{75}{2} $ days work $ =\frac{1}{50}\times \frac{75}{2}=\frac{75}{100}=\frac{3}{4} $

$ \therefore $ $ ( 1-\frac{m}{20} )=\frac{3}{4} $
$ \Rightarrow $ $ \frac{m}{20}=\frac{1}{4} $

$ \Rightarrow $ $ m=\frac{1}{4}\times 20=5 $ Clearly, 15 men leave after 5 days.

Quantitative Aptitude Ques 1869

Quantitative Aptitude Ques 1871

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