Time and Work Schedule
XAT 2018 · Quantitative Ability & Data Interpretation · Medium · Quantitative Aptitude
Abdul, Bimal, Charlie and Dilbar can finish a task in 10, 12, 15 and 18 days respectively. They can either choose to work or remain absent on a particular day. If 50 percent of the total work gets completed after 3 days, then, which of the following options is possible?
- A.
Each of them worked for exactly 2 days.
- B.
Bimal and Dilbar worked for 1 day each, Charlie worked for 2 days and Abdul worked for all 3 days.
- C.
Abdul and Charlie worked for 2 days each, Dilbar worked for 1 day and Bimal worked for all 3 days.
- D.
Abdul and Dilbar worked for 2 days each, Charlie worked for 1 day and Bimal worked for all 3 days.
- E.
Abdul and Charlie worked for 1 day each, Bimal worked for 2 days and Dilbar worked for all 3 days.
E
Explanation
Total work = LCM(10, 12, 15, 18) = 180 units. Rates per day: Abdul = 18, Bimal = 15, Charlie = 12, Dilbar = 10. 50% work = 90 units. Check option E: units. Perfect.
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