IIM-B (BBA-DBE) 2024 #2 (QA) PYQs

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

81 equally efficient people could complete a piece of work in 15 days. Initially 45 such people started working together. But after they worked together for 6 days their employer wanted that the work should be completed in a total of 21 days. However any new worker who joins is only 60% as efficient as any of the 45 people already working. How many new workers did the employer hire to work alongside the initial 45 people to meet the deadline?

Arpita and Nikita, working together, can complete an assigned job in 12 days. If Arpita works initially to complete 40% of the job, and the remaining job is completed by Nikita alone, then it takes 24 days to complete the job. The possible number of days that Nikita requires to complete the entire job, working alone, is