This set of Aptitude Questions and Answers (MCQs) focuses on “Time and Work – Set 5”.
1. 10 men can do a piece of work in 35 days. Find the time required by 6 men to complete the task by working twice as long as the first 10 men.
a) 29.16 days
b) 29.91 days
c) 26.92 days
d) 26.16 days
View Answer
Explanation: The total amount of work = 10 * 35 = 350 units
The efficiency of new 6 men as compared to the old 10 men = 2x
The time taken = 350 / (6 * 2) = 350 / 12 = 29.16 days
2. A group of 5 men and 10 boys can do a piece of work in 8 days. find the time taken by 12 boys to do the same task. Efficiency of a man is equal to efficiency of 2 boys.
a) 13.33 days
b) 14.33 days
c) 16.66 days
d) 19.66 days
View Answer
Explanation: The efficiency of 1 man = efficiency of 2 boys.
Man is twice as efficient as a boy.
So, the total efficiency of 5 men and 10 boys = efficiency of 20 boys (5 men = 10 boys)
The total work done = 20 * 8 = 160 units
The number of boys we have now = 12
The time taken = 160 / 12 = 13.33 days
3. A group of 5 men or 12 women can do a task in 78 days. find the time taken by 5 men and 12 women to complete the task.
a) 26 days
b) 29 days
c) 36 days
d) 39 days
View Answer
Explanation: The time taken by 5 men = time taken by 12 women.
The efficiency of 5 men = efficiency of 12 women
Let the efficiency of a man be 12x.
The efficiency of a woman = 12x * 5 / 12 = 5x
The total efficiency of 5 men and 12 women = 12x * 5 + 5x * 12 = 120x
The total work = 78 * 60x
The time taken = 78x * 60 / 120x = 39 days
4. 9 men or 12 women can complete a task in 45 days. Find the time required by 12 men and 9 women to do the task.
a) 22 days
b) 21.6 days
c) 20.8 days
d) 20.2 days
View Answer
Explanation: The efficiency of 9 men = the efficiency of 12 women.
Let the efficiency of 1 man = 12x
The efficiency of 1 woman = 12x / 12 * 9 = 9x
The efficiency of 12 men and 9 women = 144x + 81x = 225x
The efficiency of 9 men or 12 women = 12x * 9 = 108x
The total work done = 108x * 45
The time taken to do the task now = 108 * 45 / 225 = 21.6 days
5. 10 men or 15 boys can do a piece of work in 50 days. Find the time required by 10 men and 15 boys to do the task.
a) 25 days
b) 22 days
c) 18 days
d) 15 days
View Answer
Explanation: The efficiency of 10 men = the efficiency of 15 boys.
Let the efficiency of a man = 15x
The efficiency of a boy = 10x
The total efficiency of 10 men and 15 boys = 150x + 150x = 300x
The efficiency of 10 men or 15 boys = 150x
The total work done = 150x * 50 = 7500x
The time taken to do the task now = 7500 / 300x = 25 days
6. A group of 20 men or 30 boys can do a piece of work in 70 days. Find the time required by 20 men and 20 boys to do the task.
a) 40 days
b) 42 days
c) 44 days
d) 46 days
View Answer
Explanation: The efficiency of 20 men = the efficiency of 30 boys.
Let the efficiency of a man be 30x.
The efficiency of a boy = 20x
The total efficiency of 20 men and 20 boys = 20 * 30 + 20 * 20 = 1000x
The total amount of work done = 20x * 30 * 70 = 42000x
The time taken to complete the task = 42000x / 1000x = 42 days
7. 7 men or 5 women can do a piece of work in 490 days. Find the time taken by 7 men and 7 women to do the task.
a) 201.46 days
b) 204.16 days
c) 206.14 days
d) 206.41 days
View Answer
Explanation: The efficiency of 7 men = the efficiency of 5 women.
Let the efficiency of a man = 5x
The efficiency of a woman = 7x
The total efficiency of 7 men and 7 women = 5x * 7 + 7x * 7 = 35x + 49x = 84x
The total work done = 490 * 35x = 17150x units
The time taken now to complete the work = 17150x / 84x = 204.16 days
8. 3 men or 5 women can do a piece of work in 15 days. Find the time required by 2 men and 5 women to do the same task.
a) 8 days
b) 9 days
c) 10 days
d) 11 days
View Answer
Explanation: The efficiency of 3 men = the efficiency of 5 women.
Let the efficiency of a man = 5x
The efficiency of a woman = 3x
The total efficiency = 2 * 5x + 3x * 5 = 25x
The total work done = 15x * 15 = 225x
The time taken now to complete the task = 225x / 25x = 9 days
9. 12 men or 15 women can do a piece of work in 25 days. Find the time required by 20 men and 20 women to do the same task.
a) 6.33 days
b) 7.33 days
c) 8.33 days
d) 9.33 days
View Answer
Explanation: The efficiency of 12 men = the efficiency of 15 women.
Let the efficiency of a man = 15x
The efficiency of a woman = 12x
The total efficiency of 20 men and 20 women = 15x * 20 + 12x * 20 = 300x + 240x = 540x
The total work done = 180x * 25 = 4500x
The time required now = 4500x / 540x = 8.33 days
10. 4 men or 6 women can do a piece of work in 24 days. Find the time required by 6 men and 4 women to complete the task.
a) 9 days
b) 10 days
c) 11 days
d) 12 days
View Answer
Explanation: The efficiency of 4 men = the efficiency of 6 women.
Let the efficiency of a man = 6x
The efficiency of a woman = 4x
The total efficiency of 6 men and 4 women = 36x + 16x = 52x
The total work done = 24x * 24 = 576x
The time taken = 576x / 52x = 11.07 days ≈ 11 days
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