This set of Aptitude Questions and Answers (MCQs) focuses on “Time and Work – Set 3”.
1. 10 men can do a piece of work in 25 days. Find the amount of work done by 35 men in 2.5 days.
a) 25%
b) 35%
c) 45%
d) 55%
View Answer
Explanation: The total work to be done = 10 * 25 = 250
The amount of work done = 35 * 2.5 = 87.5
The percentage of work done = 87.5 / 250 * 100 = 35%
2. 108 men can do a work in 24 days. Find the amount of work done by 10 men in 24 days.
a) 9%
b) 10%
c) 11%
d) 12%
View Answer
Explanation: The total work done by 108 men in 24 days = 108 * 24 = 2592 units
The work done by 10 men in 24 days = 240 units
The percentage of the work done = 240 / 2592 * 100 = 9.25%
3. 86 men can do a work in 178 days. Find the amount of work done by 180 men in 110 days.
a) 129%
b) 130%
c) 131%
d) 132%
View Answer
Explanation: The total work to be done = 86 * 178 = 15308 units
The work done = 180 * 110 = 19800 units
The percentage done = 19800 / 15308 * 100 = 129.34%
4. 32 men can do a piece of work in 45 days. Find the amount of work done by 40 men in 20 days.
a) 55.55%
b) 66.66%
c) 72.72%
d) 77.77%
View Answer
Explanation: The total work to be done = 32 * 45 = 1440 units
The amount of work done = 40 * 20 = 800 units
The percentage of work done = 800 / 1440 * 100 = 55.55%
5. 25 men can do a piece of work in 35 days. Find the amount of work done by 18 men in 25 days.
a) 50%
b) 51%
c) 52%
d) 53%
View Answer
Explanation: The total amount of work to be done = 25 * 35 = 875 units
The amount of work done = 18 * 25 = 450 units
The percentage of work done = 450 / 875 * 100 = 51.42%
6. 154 men can do a piece of work in 158 days. Find the number of days required by 33 men to complete 1 / 7th of the work.
a) 100 days
b) 105 days
c) 110 days
d) 115 days
View Answer
Explanation: The total amount of work done = 154 * 158 = 24332 units of work
The amount of work to be done = 1 / 7th of the previous work = 24332 / 7 = 3476 units of work
The number of days required = 3476 / 33 = 105.33 days
7. 31 men can complete half of the work in 21 days. Find the number of days in which 7 men can complete the remaining work.
a) 87 days
b) 89 days
c) 91 days
d) 93 days
View Answer
Explanation: The total time to be taken = 21 * 31 / 7 = 93 days
8. 23 men can do a piece of work in 68 days. Find the time taken by 17 men to complete the same work.
a) 78 days
b) 92 days
c) 108 days
d) 120 days
View Answer
Explanation: The time taken by 17 men to complete the work = 23 * 68 / 17 = 92 days
9. X and Y can do a work in 20 days and 25 days, respectively. How long will they take to complete the same work together?
a) 7.77 days
b) 8.88 days
c) 9.99 days
d) 11.11 days
View Answer
Explanation: Let the total work be 20 * 25 = 500 units.
The efficiency of x = 25 and the efficiency of y = 20
The total efficiency = 20 + 25 = 45
The time taken = 500 / 45 = 11.11 days
10. P can do a piece of work in 22 days. Q is twice as efficient as p. Find the time required by Q to complete 4 times the work done by P.
a) 12 days
b) 24 days
c) 44 days
d) 96 days
View Answer
Explanation: Let the efficiency of P be x.
The efficiency of Q = 2 * x = 2x
The total work = x * 22 = 22x
The work to be done by Q = 4 times the total work = 22x * 4 = 88x
The time taken by Q to complete the work = 88x / 2x = 44 days
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