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 : 26 [SSC CGL Tier-I 2013]
If 10 men or 20 women or 40 children can do a piece of work in 7 months, then 5 men, 5 women and 5 children together can do half of the work in :
a) 5 months
b) 6 months
c) 4 months
d) 8 months
Answer »Answer: (d)
10 men ≡ 20 women
1 man = 2 women = 5 children
1 woman = 2 children
5 men + 5 women + 5 children
= 20 + 10 + 5 = 35 children
$M_1D_1 = M_2D_2$
40 × 7 = 35 × $D_2$
$D_2 = {40 ×7}/35$ = 8 months
5 men, 5 women and 5 children can do half of the work in 8 months
Required time = 4 months.
Using Rule 13,
Here, A = 10, B= 20, C = 40, a = 7
$A_1 = 5, B_1 = 5, C_1$ = 5
Time taken to do same work = $a/{A_1/A + B_1/B + C_1/C}$
= $7/{5/10 + 5/20 + 5/40}$
= $7/{1/2 + 1/4 + 1/8}$
= $7/{{4 + 2 + 1}/8}$ = 8 months
Half of the work they do in 4 months.
Question : 27 [SSC CGL Prelim 1999]
If 10 men or 20 boys can make 260 mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20 days?
a) 280
b) 260
c) 240
d) 520
Answer »Answer: (b)
10 men ≡ 20 boys ⇒ 1 man ≡ 2 boys
8 men + 4 boys = (16 + 4) boys = 20 boys
Hence, 8 men and 4 boys will make 260 mats in 20 days.
Question : 28 [SSC Constable (GD) 2015]
8 children and 12 men complete a certain piece of work in 9 days. Each child takes twice the time taken by a man to finish the work. In how many days will 12 men finish the same work ?
a) 12 days
b) 9 days
c) 13 days
d) 15 days
Answer »Answer: (a)
Using Rule 1,
2 children ≡ 1 man
8 children + 12 men ≡ 16 men
$M_1D_1 = M_2D_2$
16 × 9 = 12 × $D_2$
$D_2 = {16 × 9}/12$ = 12 days.
Question : 29 [SSC CHSL 2011]
2 men and 3 women can do a piece of work in 10 days while 3 men and 2 women can do the same work in 8 days. Then, 2 men and 1 woman can do the same work in
a) 13 days
b) 12 days
c) 12$1/2$ days.
d) 13$1/2$ days
Answer »Answer: (c)
2 × 10 men + 3 × 10 women = 3 × 8 men + 2 × 8 women
20 men + 30 women = 24 men + 16 women
4 men = 14 women or 2 men = 7 women
2 men + 3 women = 10 women
2 men + 1 woman = 8 women
$M_1D_1 = M_2D_2$
10 × 10 = 8 × $D_2$
$D_2 = 25/2 = 12{1}/2$ days
Using Rule 11
Here, $A_1 = 2, B_1 = 3, D_1$ = 10
$A_2 = 3, B_2 = 2, D_2$ = 8
$A_3 = 2, B_3$ = 1
Required time = ${D_1D_2(A_1B_2 - A_2B_1)}/{D_1(A_1B_3 - A_3B_1) - D_2(A_2B_3 - A_3 B_2)}$ days.
= ${10 × 8(2 × 2 - 3 × 3)}/{10(2 × 1 - 2 × 3) - 8(3 × 1 - 2 × 2)}$
= ${80(4 - 9)}/{10(2 - 6) - 8(3 - 4)}$
= ${-400}/{-40 + 8} = {-400}/{-32} = 25/2 = 12{1}/2$ days
Question : 30 [SSC CHSL 2010]
If 1 man or 2 women or 3 boys can complete a piece of work in 88 days, then 1 man, 1 woman and 1 boy together will complete it in
a) 48 days
b) 36 days
c) 42 days
d) 54 days
Answer »Answer: (a)
1 man = 2 women ≡ 3 boys 1 man + 1 woman + 1 boy
= $(3 + 3/2 + 1)$ boys = $11/2$ boys
$M_1D_1 = M_2D_2$
$3 × 88 = 11/2 × D_2$
$D_2 = {2 × 3 × 88}/11$ = 48 days
Using Rule 13If A men or B boys or C women can do a certain work in 'a' days, then $A_1$ men, $B_1$ boys and $C_1$ women can do the same work inTime taken = $a/{A_1/A + B_1/B + C_1/C}$
Here, A = 1, B= 2, C = 3, a = 88
$A_1 = 1, B_1 = 1, C_1$ = 1
Time taken = $a/{A_1/A + B_1/B + C_1/C}$
= $88/{1/1 + 1/2 + 1/3}$
= ${88 × 6}/{6 + 3 + 2}$ = 48 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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