This set of Aptitude Questions and Answers (MCQs) focuses on “Time and Work – Set 6”.
1. 25 men can do a work in 20 days, find the time in which 15 men can do the same amount of work.
a) 30 days
b) 33 days
c) 36 days
d) 39 days
View Answer
Explanation: The total amount of work done = 25 * 20 = 500 units
The number of men available = 15
The time taken = 500 / 15 = 33.33 days
2. 15 men can do a piece of work in 17 days, working 7.5 hours daily. Find the time in which 11 men can do the same work, working 2.1 hours daily.
a) 85 days
b) 86 days
c) 87 days
d) 88 days
View Answer
Explanation: The total amount of work done = 15 * 18 * 7.5 = 2025 units
The number of men available = 11
The daily working hours = 2.1 hour
Number of days taken = 2025 / (11 * 2.1) = 87.66 days
3. 24 men can complete 35% of the work in 20 days, working 2.5 hours daily. Find the number of days in which 10 men can do the remaining work, working 9 hours daily.
a) 27.46 days
b) 24.76 days
c) 26.74 days
d) 22.77 days
View Answer
Explanation: The total work done = 35% of the total work
The work remaining = 65% of the total work
The total work completed = 24 * 20 * 2.5 = 1200 units
1200 units is 35% of the work
65% of the work = 1200 / 35 * 65 = 2228.57 units
The days to complete the work:
2228.57 / (10 * 9) = 24.76 days
4. 25 men can do a piece of work in 19 days. Find the time required by 33 men to do thrice the work.
a) 41 days
b) 42 days
c) 43 days
d) 44 days
View Answer
Explanation: the total work done = 25 * 19 = 475 units of work
The new work = thrice the previous work = 475 * 3 = 1425 units
The number of days required by 33 men to do the work = 1425 / 33 = 43.181 days
5. 37 men can do a piece of work in 98 days. Find the number of days required by 43 men to do 1 / 3rd of the work.
a) 27 days
b) 28 days
c) 29 days
d) 30 days
View Answer
Explanation: The total amount of work done = 37 * 98 = 3626 units of work
The work to be completed = 1 / 3rd of the previous work = 3626 / 3 = 3626 / 3 units of work
The number of day required = 3626 / (3 * 43) = 28.10 days
6. A group of 12 men can do a piece of work in 2 days. Find the amount of work done by 3 men in 9 days.
a) 50%
b) 75%
c) 100%
d) 125%
View Answer
Explanation: The amount of work to be done = 12 * 2 = 24 units
The amount of work done = 3 * 9 = 18 units
The percentage of work done = 18 / 24 * 100 = 75%
7. A group of 18 men can do a piece of work in 90 days. Find the amount of work done by 10 men in 40 days.
a) 22%
b) 25%
c) 26%
d) 27%
View Answer
Explanation: The total work to be done 18 * 90 = 1620 units
The total work done = 10 * 40 = 400 units
The percentage of work done = 400 / 1620 * 100 = 24.69%
8. 30 men can do a piece of work in 13 days. Find the amount of work done by 12 men in 12 days.
a) 36%
b) 37%
c) 38%
d) 39%
View Answer
Explanation: The total work to be done = 30 * 13 = 390 units
The total work done = 12 * 12 = 144 units
The percentage of work done = 144 / 390 * 100 = 36.92%
9. 30 men can do a piece of work in 28 days. Find the amount of work done by 27 men in 37 days.
a) 119%
b) 120%
c) 121%
d) 122%
View Answer
Explanation: The total work to be done = 30 * 28 = 840 units
The amount of work done = 27 * 37 = 999 units
The percentage of work done = 999 / 840 * 100 = 118.9%
10. 32 men can do a piece of work in 24 days. Find the amount of work done by 13 men in 8 days.
a) 11%
b) 14%
c) 15%
d) 12%
View Answer
Explanation: The total work to be done = 32 * 24 = 768 units
The amount of work done = 13 * 8 = 104 units
The amount of work completed = 104 / 768 * 100 = 13.54%
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