IIM-B (BBA-DBE) 2024 #1 (QA) PYQs

A, B and C work in a workshop for creating identical idols. A can craft 10 idols in 150 days. Similarly, B and C can individually create 16 idols in 192 days and 320 days, respectively. B works every day, A works only on alternate days starting from the first day, i.e. 1st March, and C also works only on alternate days starting from the second day, i.e 2nd March. On which date will the construction of 2 idols be completed?

A and C together can complete a certain work in 30 days. B is 20% more efficient than C. A, B and C together can do the same work in 20 days. C alone completed one fourth of the work and the remaining work was completed by A and B together. In how many days was the entire work completed?

There are two taps, T1 and T2, at the bottom of a water tank, either or both of which may be opened to empty the water tank, each at a constant rate. If T1 is opened keeping T2 closed, the water tank (initially full) becomes empty in half an hour. If both T1 and T2 are kept open, the water tank (initially full) becomes empty in 20 minutes. Then, the time (in minutes) it takes for the water tank (initially full) to become empty if T2 is opened while T1 is closed is