Model 4 Working with Man, Woman, Child Practice Questions Answers Test with Solutions & More Shortcuts
time & work PRACTICE TEST [7 - EXERCISES]
Model 1 Basics on Time & Work
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Model 3 Man leaves & joins
Model 4 Working with Man, Woman, Child
Model 5 Split & Fraction of work
Model 6 Efficiency of the worker
Model 7 Working with individual wages
Question : 21 [SSC CGL Tier-II 2014]
A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, in how many days a boy will do it alone ?
a) 6
b) 49
c) 7
d) 42
Answer »Answer: (b)
Using Rule 11,
According to the question,
1 man ≡ 2 women ≡ 4 boys
1 man + 1 woman + 1 boy
= (4 + 2 +1) boys = 7 boys
$M_1D_1 = M_2D_2$
7 × 7 = 1 × $D_2$
∴ $D_2$ = 49 days
Question : 22 [SSC CHSL 2011]
6 men and 8 women can do a work in 10 days, Then 3 men and 4 women can do the same work in
a) 12 days
b) 24 days
c) 20 days
d) 18 days
Answer »Answer: (c)
6m + 8w ≡ 10 days
2 (3m + 4w) ≡ 10 days
3m + 4w ≡ 20 days
[Since the workforce has become half of the original force, so number of days must be double].
Using Rule 14,
Let us assume efficiency of 6 men = efficiency of 8 men.
A = 6, a = 20, B = 8, b = 20
$A_1 = 3, B_1$ = 4
Required time = $1/{A_1/{A × a} + B_1/{B × b}}$
= $1/{3/{6 × 20} + 4/{8 × 20}}$
= $1/{1/40 + 1/40} = 40/2$ = 20 days
Question : 23 [SSC CGL Prelim 2000]
If 16 men or 20 women can do a piece of work in 25 days. In what time will 28 men and 15 women do it?
a) 18$3/4$ days
b) 14$2/7$ days
c) 33$1/3$ days
d) 10 days
Answer »Answer: (d)
16 men = 20 women ⇒ 4 men = 5 women.
Now, according to question,
16 men complete the work in 25 days.
1 man one day’s work = $1/{25 × 16}$
4 men one day’s work = $4/{25 × 16} = 1/100$
Similarly,
1 woman one day’s work =$1/{25 × 20}$
5 women one day’s work = $5/{25 × 20} = 1/100$
28 men = $28/4$ × 5 = 35 women
[28 men + 15 women]
50 women one day’s work men= $50/{25 × 20} = 1/10$
Therefore, 28 men and 15 women can complete the whole work in 10 days.
Using Rule 12,
A = 16, B = 20, a = 25, $A_1$ = 28, $B_1$ = 15
Time taken = ${a(A × B)}/{A_1B + B_1A}$
= ${25(16 × 20)}/{28 × 20 + 15 × 16}$
= ${25 × 320}/{560 + 240}$
= ${25 × 320}/800$ = 10 days
Question : 24 [SSC CHSL 2014]
One man or two women or three boys can do a piece of work in 88 days. One man, one woman and one boy will do it in
a) 48 days
b) 44 days
c) 24 days
d) 20 days
Answer »Answer: (a)
1 man ≡ 2 women ≡ 3 boys
1 man + 1 woman + 1 boy
= $(3 + 3/2 + 1)$ boys
= $({6 + 3 + 2}/2)$ boys= $11/2$ boys
$M_1D_1 = M_2D_2$
3 × 88 = $11/2 × D_2$
$D_2 = {3 × 2 × 88}/11$ = 48 days
Using Rule 13,
Here, A = 1, B = 2, C = 3, a= 88
$A_1 = 1, B_1 = 1, C_1$ = 1
Required time = $a/{A_1/A + B_1/B + C_1/C}$
= $88/{1/1 + 1/2 + 1/3} = 88/{{6 + 3 + 2}/6}$ = 48 days
Question : 25 [SSC GL Tier-I 2013]
3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work?
a) 4 days
b) 20 days
c) 10 days
d) 15 days
Answer »Answer: (a)
3 men’s work = 5 women’s work
1 man’s work = $5/3$ women’s work
6 men’s work = $5/3$ × 6
=10 women’s work
6 men + 5 women = 15 women
5 women can do work in 12 days.
Hence, 15 women can do it in ${5 × 12}/15$ = 4 days
Using Rule 12,
Here, A = 3, B = 5, a = 12, $A_1$ = 6 and $B_1$ = 5
Required time = ${a(A × B)}/{A_1B + B_1A}$
= ${12(3 × 5)}/{6 × 5 + 5 × 3}$
= ${12 × 15}/45$ = 4 days
IMPORTANT quantitative aptitude EXERCISES
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Top 199+ Basic Time and Work Aptitude MCQs with Answers »
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Top 200+ Time and Work Problem Solving By Formula Method »
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New 189+ Time & Work MCQs Practice Test for BANK Exams »
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Top 199+ Time & Work MCQs: Men Women Child for BANK Exam »
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Top 199+ Time and Work Questions Test on Fraction of Work »
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Top 199+ Time and Work Efficiency Based Aptitude MCQ Quiz »
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New 299+ Time and Work Aptitude Test On Individual Wages »
Model 4 Working with Man, Woman, Child Shortcuts »
Click to Read...Model 4 Working with Man, Woman, Child Online Quiz
Click to Start..time & work Shortcuts and Techniques with Examples
-
Model 1 Basics on Time & Work
Defination & Shortcuts … -
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Defination & Shortcuts … -
Model 3 Man leaves & joins
Defination & Shortcuts … -
Model 4 Working with Man, Woman, Child
Defination & Shortcuts … -
Model 5 Split & Fraction of work
Defination & Shortcuts … -
Model 6 Efficiency of the worker
Defination & Shortcuts … -
Model 7 Working with individual wages
Defination & Shortcuts …
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