Men, Women, Child MCQ Quiz - Objective Question with Answer for Men, Women, Child - Download Free PDF
Last updated on May 20, 2025
Latest Men, Women, Child MCQ Objective Questions
Men, Women, Child Question 1:
If 2 men or 4 women or 6 boys can finish a work in 50 days, then how many days will 1 man, 1 woman and 1 boy take to finish the same work?
Answer (Detailed Solution Below)
Men, Women, Child Question 1 Detailed Solution
Given:
2 men (M1) can finish work in 50 days (D1).
4 women (W) can finish work in 50 days.
6 boys (B) can finish work in 50 days.
Formula Used:
M1 × D1 × H1 × E1 = M2 × D2 × H2 × E2 (Assuming hours per day are constant, H1 = H2)
We will establish a relationship between the efficiency of men, women, and boys.
Calculation:
Work done by 2 men = Work done by 4 women = Work done by 6 boys (in the same time)
Let the efficiency of 1 man, 1 woman, 1 boy = Em, Ew, Eb respectively
Work = 2 × Em × 50
Work = 4 × Ew × 50
Work = 6 × Eb × 50
From the above, we can deduce the efficiency relationship:
100 × Em = 200 × Ew ⇒ Em = 2 × Ew
100 × Em = 300 × Eb ⇒ Em = 3 × Eb
So, the ratio of their efficiencies is Em : Ew : Eb = 6 : 3 : 2 (multiplying by 3 and 2 to get whole numbers)
Now, let 1 man, 1 woman, and 1 boy take D days to finish the work.
Using the work done by men:
2 men × 50 days × 6 (efficiency) = (1 man × 6 + 1 woman × 3 + 1 boy × 2) × D
⇒ 2 × 50 × 6 = (6 + 3 + 2) × D
⇒ 600 = 11 × D
⇒ D = 600 / 11
⇒ D = \(54 \frac{6}{11}\) days
1 man, 1 woman and 1 boy will take \(54 \frac{6}{11}\) days to finish the same work.
Men, Women, Child Question 2:
12 men can do a work in 25 days working 6 h per day. In how many days will 36 women do the same task working 5 h per day, if it is given that men are twice as efficient as women?
Answer (Detailed Solution Below)
Men, Women, Child Question 2 Detailed Solution
Given:
12 men can do a work in 25 days working 6 hours per day.
36 women need to do the same work working 5 hours per day.
Men are twice as efficient as women.
Formula Used:
Work = Number of people × Efficiency × Number of days × Number of hours
Calculation:
Let the efficiency of a woman be 1 unit of work per hour.
Then, the efficiency of a man is 2 units of work per hour.
Total work done by men:
Work = 12 men × 2 units/man/hr × 25 days × 6 hours/day
Work = 12 × 2 × 25 × 6
Work = 3600 units
Let the number of days required by 36 women be D days.
Total work done by women:
Work = 36 women × 1 unit/woman/hr × D days × 5 hours/day
Work = 36 × 1 × D × 5
Work = 180D units
Since the work done by men and women is the same:
3600 units = 180D units
⇒ 3600 = 180D
⇒ D = 3600 / 180
⇒ D = 20
The correct answer is option 1 (20 days).
Men, Women, Child Question 3:
10 women can do a work in 6 days and 6 men can do the same work in 5 days. If all these men and women work together, then how many days will they take to finish this work?
Answer (Detailed Solution Below)
Men, Women, Child Question 3 Detailed Solution
Given :
10 women can do a work in 6 days.
6 men can do the same work in 5 days.
Formula Used :
Work Done = time × efficiency
Calculation :
⇒ 10W × 6 = 6M × 5
⇒ 60W = 30M
⇒ W/M = 1/2
Total Work = 60
Time = 60/(10 × 1 + 6 × 2)
⇒ 60/22 = 30/11
⇒ \(2 \frac{8}{11}\)
∴ The correct answer is \(2 \frac{8}{11}\).
Men, Women, Child Question 4:
Work done by 8 men is completed in 10 days. The same work can be completed in 12 days when done by 10 women. How many days will it take to complete when 4 men and 4 women are employed to perform the same job?
Answer (Detailed Solution Below)
Men, Women, Child Question 4 Detailed Solution
Given :
Work done by 8 men is completed in 10 days.
Same work can be completed in 12 days when done by 10 women.
Formula Used :
M1H1D1/W1 = M2H2D2/W2
Calculation :
⇒ 8M × 10 = 10W × 12
⇒ 80M = 120W
⇒ M/W = 120/80 = 3/2
Total Work = 8 × 3 × 10 = 240
Now, 240 = (4M + 4W) × time
⇒ time = 240/(4 × 3 + 4 × 2)
⇒ time = 240/20 = 12 days
∴ The correct answer is 12 days.
Men, Women, Child Question 5:
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 25 women complete it?
Answer (Detailed Solution Below)
Men, Women, Child Question 5 Detailed Solution
Given:
(4 men + 6 women) can complete a work = 8 days
(3 men + 7 women) can complete a work = 10 days
Formula used:
Total work = efficiency × time
Calculation:
⇒ (4 men + 6 women) × 8 = (3 men + 7 women) × 10
⇒ 2 men = 22 women
⇒ Men/women = 11/1
Total work = (3 men + 7 women) × 10
⇒ {(3 × 11) + (7 × 1)} × 10
⇒ (33 + 7) × 10 = 400
Time taken by 25 women to complete the work = 400/25 = 16 days
∴ The correct answer is 16 days.
Top Men, Women, Child MCQ Objective Questions
A man and a woman can finish a work together in half the time taken by a woman and a boy together. A boy can finish the work alone in 20 days and 2 women together can finish it in 30 days. In how many days will the work be finished by 4 men?
Answer (Detailed Solution Below)
Men, Women, Child Question 6 Detailed Solution
Download Solution PDFGiven:
Time taken by (man + woman) = (1/2) × Time taken by (woman + boy)
A boy alone can finish the work = 20 days
2 women can finish the work = 30 days.
Concept used:
If total work is constant then,
Time ∝ (1/efficiency)
Formula used:
Total work = efficiency × time
Calculation:
2 women can finish the work = 30 days.
1 woman can finish the work = 30 × 2 = 60 days
| Efficiency | Person | Time | Total work |
| 1 | Woman | 60 | 60 |
| 3 | Boy | 20 |
Now,
Time taken by (man + woman) = (1/2) × Time taken by (woman + boy)
Time taken by (man + woman) : Time taken by (woman + boy) = 1 : 2
Efficiency of (man + woman) : Efficiency of (woman + boy) = 2 : 1
(Woman + boy) = (3 + 1) = 4
⇒ 1 unit = 4 units/day
⇒ 2 units = 4 × 2 = 8 units/day
Efficiency of (man + woman) = 8
Efficiency of man = 8 - 1 = 7 units/day
Time taken to complete the work by 4 men = 60/(4 × 7)
⇒ 60/28 = 15/7 = 2.14 days
∴ The correct answer is 2.14 days.
A man, a woman and a boy can complete a job in 3, 5 and 15 days, respectively. How many boys must assist 1 man and 1 woman to complete the job in \(\frac{1}{5}\) of a day?
Answer (Detailed Solution Below)
Men, Women, Child Question 7 Detailed Solution
Download Solution PDFMan's 1-day work = 1/3
Woman's 1-day work = 1/5
Boy's 1-day work = 1/15
According to the question-
⇒ 1 × (1/3) + 1 × (1/5) + x × (1/15) = 1/(1/5)
{ ∵ x be the no. of boys needed}
⇒ x/15 = 5 - (1/3) - (1/5)
⇒ x/15 = (75 - 5 - 3)/15
⇒ x = 67
∴ 67 Boys are needed to complete the work.
15 men can complete a work in 25 days, and 25 women can complete the same work in 40 days. If all 15 men and 25 women work together, in how many days will the work get completed?
Answer (Detailed Solution Below)
Men, Women, Child Question 8 Detailed Solution
Download Solution PDFGiven:
15 men can complete a work = 25 days
25 women can complete the same work = 40 days
Formula used:
Total work = efficiency × time
Calculation:
Let the efficiency of a man = M
The efficiency of a woman = W
According to the question:
⇒ 15 × M × 25 = 25 × W × 40
⇒ M/W = 40/15 = 8/3
Total work = efficiency × time
⇒ 25 × 3 × 40 = 3000
Time taken to complete the work if 15 men and 25 women work together
⇒ 3000/{(15 × 8) + (25 × 3)} = 3000/(120 + 75)
⇒ 3000/195 = \(15 \frac{5}{13}\) days
∴ The correct answer is \(15 \frac{5}{13}\) days.
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 25 women complete it?
Answer (Detailed Solution Below)
Men, Women, Child Question 9 Detailed Solution
Download Solution PDFGiven:
(4 men + 6 women) can complete a work = 8 days
(3 men + 7 women) can complete a work = 10 days
Formula used:
Total work = efficiency × time
Calculation:
⇒ (4 men + 6 women) × 8 = (3 men + 7 women) × 10
⇒ 2 men = 22 women
⇒ Men/women = 11/1
Total work = (3 men + 7 women) × 10
⇒ {(3 × 11) + (7 × 1)} × 10
⇒ (33 + 7) × 10 = 400
Time taken by 25 women to complete the work = 400/25 = 16 days
∴ The correct answer is 16 days.
If one man or two women or four boys or five girls can finish a work in 39 days, then how many days will one man, one woman, one boy and one girl together take to finish the same work?
Answer (Detailed Solution Below)
Men, Women, Child Question 10 Detailed Solution
Download Solution PDFGiven:
one man or two women or four boys or five girls can finish a work in 39 days
Concept used:
Total work = efficiency of the worker × time taken
Calculation:
According to the question,
M × 39 = 2W × 39 = 4B × 39 = 5G × 39
⇒ M = 2W = 4B = 5G
⇒ M/W = 2/1, W/B = 4/2 = 2/1, B/G = 5/4
⇒ M : W : B : G = (2 × 2 × 5) : (1 × 2 × 5) : (1 × 1 × 5) : (1 × 1 × 4)
So, the ratio of their efficiency is M : W : B : G = 20 : 10 : 5 : 4
So, total work = 39 × 20 = 780 units
Now,
Effective efficiency of one man, one woman, one boy, one girl = 20 + 10 + 5 + 4
⇒ 39
Time = 780/39
⇒ 20 days
∴ The required answer is 20 days.
15 men and 21 women, working together, can do a job in 56 days, while 12 men and 24 women, working together, can do the same job in 64 days. In how many days can the same job be done by 18 men and 24 women, working together?
Answer (Detailed Solution Below)
Men, Women, Child Question 11 Detailed Solution
Download Solution PDFGiven:
15 men + 21 women can do a job = 56 days
12 men + 24 women can do a job = 64 days
Formula used:
Total work = efficiency × time
Calculation:
Let, the man efficiency = M
The woman efficiency = W
According to the question:
⇒ (15 M + 21 W) × 56 = (12 M + 24 W) × 64
⇒ (15 M + 21 W) × 7 = (12 M + 24 W) × 8
⇒ 105 M - 96 M = 192 W - 147 W
⇒ 9 M = 45 W
⇒ M/W = 5/1
Total work = (15 M + 21 W) × 56
⇒ {(15 × 5) + 21) × 56} = (96 × 56) units
Total efficiency = 18 M + 24 W
⇒ (18 × 5) + 24 × 1 = 114 units
Required time taken to complete work = Total work/total efficiency
⇒ (96 × 56)/114 = (16 × 56)/19 = 47\(\frac{3}{19}\) days
∴ The correct answer is 47\(\frac{3}{19}\) days.
8 men can complete a work in 45 days. 8 women can complete the same work in 18 days. In how many days will 5 men and 8 women, together, complete the same work?
Answer (Detailed Solution Below)
Men, Women, Child Question 12 Detailed Solution
Download Solution PDFGiven:
Total time taken by 8 men to complete the work = 45 days
Total time taken by 8 women to complete the work = 18 days
Formula used:
Total work = Total efficiency × Total time
Calculation:
Let, M = Man and W = Woman
So, 8M × 45 = 8W × 18
⇒ M/W = 2/5
∴ A man can do = 2 work/day
∴ A woman can do = 5 work/day
Total work = (8 × 2) × 45 = 720
The total work done by 5 men and 8 women for one day = (5 × 2) + (8 × 5)
= 50
So, the total time is taken by them ⇒ 720/50 ⇒ 14(2/5)
∴ The work will be completed in 14(2/5) days.
4 men’s work is equal to 6 women’s work, and 4 women’s work is equal to 6 boys’ work. A boy can finish the work in 60 days. In how many days can the work be finished by a man and a woman together?
Answer (Detailed Solution Below)
Men, Women, Child Question 13 Detailed Solution
Download Solution PDFCalculation:
According to the question,
4M = 6W
⇒ M : W = 3 : 2
Again, 4W = 6B
⇒ W : B = 3 : 2
So, M : W : B = 9 : 6 : 4
A boy can finish the work in 60 days, so total work = (60 × 4) = 240 unit
Now, a man and a woman together can do the work in 240/15 = 16 days
∴ The correct answer is 16 days
15 men and 25 women can complete a piece of work in 9.6 days. If 16 women can complete the same work in 27 days, find the number of days in which 16 men can complete the same work.
Answer (Detailed Solution Below)
Men, Women, Child Question 14 Detailed Solution
Download Solution PDFGiven:
(15 men + 25 women) can complete a piece of work = 9.6 days
16 women can complete the same work = 27 days
Formula used:
Total work = efficiency × time
Calculation:
Let the men's efficiency = M
Women's efficiency = W
⇒ (15M + 25W) × 9.6 = 16W × 27
⇒ (15M + 25W) × 16 = 16W × 45
⇒ (15M × 16) + (25W × 16) = 16W × 45
⇒ (15M × 16) = (16W × 45) - (25W × 16)
⇒ (15M × 16) = (16 × 20W)
⇒ 15M = 20W
⇒ M/W = 20/15 = 4/3
Total work = 16W × 27 = 16 × 3 × 27
Time taken to complete the total work by 16 men = (16 × 3 × 27)/(16 × 4)
⇒ 81/4 = 20.25 days
∴ The correct answer is 20.25 days.
10 women can do a work in 6 days and 6 men can do the same work in 5 days. If all these men and women work together, then how many days will they take to finish this work?
Answer (Detailed Solution Below)
Men, Women, Child Question 15 Detailed Solution
Download Solution PDFGiven :
10 women can do a work in 6 days.
6 men can do the same work in 5 days.
Formula Used :
Work Done = time × efficiency
Calculation :
⇒ 10W × 6 = 6M × 5
⇒ 60W = 30M
⇒ W/M = 1/2
Total Work = 60
Time = 60/(10 × 1 + 6 × 2)
⇒ 60/22 = 30/11
⇒ \(2 \frac{8}{11}\)
∴ The correct answer is \(2 \frac{8}{11}\).