Question : 24 men can do a piece of work in 17 days. How many men will be able to do it in 51 days?
Option 1: 8
Option 2: 10
Option 3: 12
Option 4: 6
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Correct Answer: 8
Solution : $M_{1}D_{1}=M_{2}D_{2},$ where $M =$ Number of people doing the work and $D =$ Number of days taken to do the work. So, $24 \times 17=M_{2} \times 51$ $⇒M_{2} =\frac{24 \times 17}{51} = 8$ men Hence, the correct answer is 8.
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Question : 12 men can complete a work in 10 days. How many more men are required to complete the work in 6 days?
Option 1: 24
Option 3: 8
Option 4: 20
Question : 10 men can do work in 25 days. After 12 days of work, 3 more men were engaged to finish the work. The number of days required to complete the remaining work is:
Option 1: 10
Option 2: 8
Option 3: 6
Option 4: 12
Question : 10 women took 16 days to complete a work which can be completed by 6 men in 8 days. 12 men started working and after 2 days 6 men left and 5 women joined them. In how many days will the remaining work be completed?
Option 1: $\frac{3}{2}$
Option 2: $\frac{16}{5}$
Option 3: $\frac{5}{2}$
Option 4: $\frac{24}{5}$
Question : 30 men can complete a work in 12 days. After 6 days, 24 more men joined them. How many days will it now take to complete the remaining work?
Option 1: $3\frac{1}{3}$ days
Option 2: $3\frac{2}{3}$ days
Option 3: $3\frac{1}{2}$ days
Option 4: $2\frac{1}{3}$ days
Question : A few men can do a piece of work in 60 days. The work could be finished 20 days earlier if there were six more men. The number of men working is:
Option 1: 6
Option 2: 12
Option 3: 18
Option 4: 24
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