JIPMAT 2022 (QA) PYQs

A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?

40 men can complete a work in 48 days. 64 men started and did the same work for $x$ days. After $x$ days, 32 men increased, so, the remaining work is completed in $16\frac{2}{3}$ days, then the value of $x$ is

A is $40 \%$ less efficient than $B$ who can do the same work in $20 \%$ less time than $C$. If $A$ and B together can complete $80 \%$ work in 12 days, then in how many days $60 \%$ work can be completed by $\mathrm{B}$ and $\mathrm{C}$ together ?