SSC Sample Paper Mock Test-14 SSC CGL Tear-II Paper-1

A man, a woman and, a boy can complete a job in 3, 4 and 12 days respectively. How many boy must assist 1 man and 1 woman to complete the job in \[\frac{1}{4}\]of a day?

A) 1

B) 4

C) 19

D) 41

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 \[=\frac{1}{2}\]

(1 man + 1 woman)'s \[\frac{1}{4}\]day's work

\[=\frac{1}{4}\left( \frac{1}{3}+\frac{1}{4} \right)=\frac{7}{48}\]

Remaining work \[=1-\frac{7}{48}=\frac{41}{48}\]

Mow, boy's \[\frac{1}{4}\] day's work \[=\frac{1}{48}\]

\[\therefore \] \[\frac{41}{48}\]part work will be done by

\[\frac{41}{48}\times 48=41\,\,\text{boys}\]