Question : X boys can do a work in 80 days. In how much time, 2X boys will do half of the same work?
Option 1: 16 days
Option 2: 30 days
Option 3: 12 days
Option 4: 20 days
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Correct Answer: 20 days
Solution : Given: X boys can do the work in 80 days. If 2X boys are doing half the work, they would take half the time of half the original time, which is a quarter of the original time. $\therefore$ 2X boys will do half of the work = $\frac{1}{4}×80$ = 20 days Hence, the correct answer is 20 days.
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Question : X and Y together can do a work in 10 days. Y and Z together can do the same work in 15 days. Z and X together can do the same work in 12 days. In how many days can Z alone do the same work?
Option 1: 80 days
Option 2: 60 days
Option 3: 40 days
Option 4: 50 days
Question : If 10 men can do work in 10 days, then in how much time will 2 men do the same work?
Option 1: 75 days
Option 3: 25 days
Question : X alone can finish a work in 18 days, and Y alone can finish the same work in 9 days. If X, Y, and Z together can finish the same work in 4 days, then in how many days Z alone can finish the work?
Option 1: 12 days
Option 2: 10 days
Option 3: 14 days
Option 4: 16 days
Question : A and B together complete a work in 20 days, B and C together complete the same work in 30 days, and C and A together complete the same work in 24 days. In how many days A, B, and C together can complete the same work?
Option 1: 8 days
Option 2: 16 days
Option 4: 15 days
Question : 9 boys and 12 men can complete a work in 24 days. Each boy takes thrice the time taken by a man to complete the work. In how many days will 15 men complete the same work?
Option 1: 26 days
Option 3: 24 days
Option 4: 22 days
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