IIM-B (BBA-DBE) 2025 #1 (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?

Two pipes P and Q can fill a tank in $20$ hrs and $25$ hrs respectively while a third pipe R can empty the tank in $30$ hrs. If all the pipes are opened together for $10$ hrs and then pipe R is closed, then in what time the tank can be filled?

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