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 : 16 [SSC CGL Tier-I 2016]
Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. The ratio between the capacity of a man and a woman is
a) 5 : 3
b) 3 : 4
c) 4 : 3
d) 5 : 7
Answer »Answer: (c)
20 women complete 1 work in 16 days.
16 men complete same work in 15 days
16 × 15 men ≡ 20 × 16 women
3 men ≡ 4 women
∴ Required ratio = 4 : 3
Question : 17 [SSC CGL Tier-I 2012]
3 men and 4 boys can complete a piece of work in 12 days. 4 men and 3 boys can do the same work in 10 days. Then 2 men and 3 boys can finish the work in number of days is
a) 8 days
b) 17$1/2$ days
c) 5$5/11$ days
d) 22 days
Answer »Answer: (b)
12 (3 men + 4 boys) = 10 (4 men + 3 boys)
36 men + 48 boys = 40 men + 30 boys
4 men = 18 boys or 2 men = 9 boys
4 men + 3 boys
= 21 boys who do the work in 10 days
and, 2 men + 3 boys = 12 boys
$M_1D_1 = M_2D_2$
21 × 10 = 12 × $D_2$
$D_2 = {21 × 10}/12 = 35/2 = 17{1}/2$ days
Using Rule 11,
Here, $A_1 = 3, B_1 = 4, D_1 = 12$
$A_2 = 4, B_2 = 3, D_2$ = 10
$A_3 = 2, B_3$ = 3
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
= ${12 × 10(3 × 3 - 4 × 4)}/{12(3 × 3 - 2 × 4) - 10(4 × 3 - 2 × 3)}$
= ${-120 × 7}/{12 - 60} = {-840}/{-48} = 70/4$
= $35/2 = 17{1}/2$ days
Question : 18 [SSC MTS 2017]
3 men and 5 women can do a work in 14 days while 5 men can do it in 14 days. 5 men and 5 women can complete the work in
a) 10 days
b) 13 days
c) 11 days
d) 12 days
Answer »Answer: (a)
5 men can do 1 work in 14 days.
3 men will do $3/5$ work in 14 days.
Remaining work = $1 - 3/5 = 2/5$
5 women do $2/5$ work in 14 days.
Time taken by 5 women in doing 1 work
= ${14 × 5}/2 = 35$ days
(5 men + 5 women)’s 1 day’s work
= $1/14 + 1/35 = {5 + 2}/70 = 7/70 = 1/10$
∴Required time = 10 days.
Question : 19 [SSC CPO S.I. 2010]
One man and one woman together can complete a piece of work in 8 days. A man alone can complete the work in 10 days. In how many days can one woman alone complete the work ?
a) 40 days
b) $140/9$ days
c) 30 days
d) 42 days
Answer »Answer: (a)
Work done by 1 woman in 1 day
= $1/8 - 1/10 = {5 - 4}/40 = 1/40$
One woman will complete the work in 40 days.
Using Rule 4If A alone can do a certain work in 'x' days and A and B together can do the same work in 'y' days, then B alone can do the same work in $({xy}/{x - y})$ days.
Here, x = 10 and y = 8
Woman can do work in = $({xy}/{x - y})$ days
= $({10 × 8}/{10 - 8})$ = 40 days
Question : 20 [SSC CGL Prelim 2004]
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 10 women complete it ?
a) 40 days
b) 50 days
c) 45 days
d) 35 days
Answer »Answer: (a)
Let 1 man’s 1 day’s work = x and
1 woman’s 1 day’s work = y
Then, 4x + 6y = $1/8$ and
$3x + 7y = 1/10$
From both equations,
we get y = $1/400$
10 women’s 1 day’s work = $10/400 = 1/40$
10 women will finish the work in 40 days.
Using Rule 11,
$A_1 = 4, B_1 = 6, D_1$ = 8
$A_2 = 3, B_2 = 7, D_2$ = 10
$A_3 = 0, B_3$ = 10
Required time = ${D_1D_2(A_1B_2 - A_2B_1)}/{D_1(A_1B_3 - A_3B_1) - D_2(A_2B_3 - A_3 B_2)}$
= ${8 × 10(4 × 7 - 3 × 6)}/{8(4 × 10 - 0 × 6) - 10(3 × 10 - 0 × 7)}$
= ${80 × 10}/20$ = 40 days
IMPORTANT quantitative aptitude EXERCISES
-
Top 199+ Basic Time and Work Aptitude MCQs with Answers »
-
Top 200+ Time and Work Problem Solving By Formula Method »
-
New 189+ Time & Work MCQs Practice Test for BANK Exams »
-
Top 199+ Time & Work MCQs: Men Women Child for BANK Exam »
-
Top 199+ Time and Work Questions Test on Fraction of Work »
-
Top 199+ Time and Work Efficiency Based Aptitude MCQ Quiz »
-
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 …
quantitative aptitude CATEGORIES
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
Ratio and Proportion Questions with Solutions, IBPS Clerk
New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam
Continue Reading »
Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024
Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024
Continue Reading »
SSC STENO: Mensuration Area & Volume Questions Test PDF
Free Mensuration Area and Volume Aptitude-based Practice multiple questions with solutions, Quiz, Full Mock Test & PDF for SSC Steno (Grade C & D) 2024 Exam
Continue Reading »
SSC STENO: Speed Time and Distance MCQ Questions Test PDF
Free Time and Distance Aptitude-based Practice multiple questions with solutions, Quiz series, Mock Test & Download PDF for SSC Steno (Grade C & D) 2024 Exam
Continue Reading »