SSC CHSL 12 Apr 2021 Shift 2 Paper

Varun and Syan 1 day work $=\frac{1}{3}$
Syan and Anil 1 day work $=\frac{1}{4}$
Anil and Varun 1 day work $=\frac{1}{6}$
One day work of all three
$=\frac{1}{2}\left[\frac{1}{3}+\frac{1}{4}+\frac{1}{6}\right]$
$=\frac{1}{2}\left[\frac{4+3+2}{12}\right]$
$=\frac{1}{2}\left[\frac{9}{12}\right]=\frac{3}{8}$
Anil 1 day work $=\frac{3}{8}-\frac{1}{3}$
$=\frac{9-8}{24}=\frac{1}{24}$
$\therefore$ Anil alone can do the total work in 24 days.