Model 7 Working with individual wages 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 : 6 [SSC CAPFs SI & CISF ASI 2013]
3 men and 7 women can do a job in 5 days, while 4 men and 6 women can do it in 4 days. The number of days required for a group of 10 women working together, at the same rate as before, to finish the same job is :
a) 20 days
b) 40 days
c) 30 days
d) 36 days
Answer »Answer: (a)
3 × 5 men + 7 × 5 women
= 4 × 4 men + 6 × 4 women
16 men - 15 men
= 35 women - 24 women
1 man = 11 women
3 men + 7 women = 40 women
$M_1D_1 = M_2D_2$
40 × 5 = 10 × $D_2$
$D_2$ = 20 days
Using Rule 11If $A_1$ men and $B_1$ boys can do a certain work in $D_1$ days, Again, $A_2$ men and $B_2$ boys can do the same work in $D_2$ days, then, $A_3$ men and $B_3$ boys can do the same work inRequired 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
Here, $A_1 = 3, B_1 = 7, D_1$ = 5
$A_2 = 4, B_2 = 6, D_2$ = 4
$A_3 = 0, B_3$ = 10
Required days = ${D_1D_2(A_1B_2 - A_2B_1)}/{D_1(A_1B_3 - A_3B_1) - D_2(A_2B_3 - A_3 B_2)}$ days
= ${5 × 4(3 × 6 - 4 × 7)}/{5 × (3 × 10 - 0) - 4(4 × 10 - 0)}$
= ${20 × (-10)}/{150 - 160}$ = 20 days
Question : 7 [SSC CISF Constable (GD) 2011]
Working 8 hours a day, Anu can copy a book in 18 days. How many hours a day should she work so as to finish the work in 12 days ?
a) 13 hours
b) 11 hours
c) 12 hours
d) 10 hours
Answer »Answer: (c)
Days | Working hours/day |
18 | 8 |
↑ | ↓ |
12 | x |
$12/18 = 8/x$
where x is hours/days
12x = 18 × 8
$x = {18 × 8}/12$ = 12 hours
Using Rule 1,
Here, $M_1 = 1, D_1 = 18, T_1$ = 8
$M_2 = 1, D_2 = 12, T_2$ = ?
$M_1D_1T_1 = M_2D_2T_2$
1 × 18 × 8 = 1 × 12 × $T_2$
$T_2 = {18 × 8}/12 = 12$ hours
Question : 8 [SSC CGL Tier-I 2016]
24 men can do a piece of work in 17 days. How many men will be able to do it in 51 days ?
a) 6
b) 12
c) 8
d) 10
Answer »Answer: (c)
$M_1D_1 = M_2D_2$
24 × 17 = $M_2$ × 51
$M_2 = {24 × 17}/51$ = 8 men
Question : 9 [SSC CHSL 2011]
Either 8 men or 17 women can paint a house in 33 days. The number of days required to paint three such houses by 12 men and 24 women working at the same rate is :
a) 66 days
b) 34 days
c) 44 days
d) 43 days
Answer »Answer: (b)
8 men ≡ 17 women
12 men ≡ $17/8 × 12 = 51/2$ women
12 men + 24 women
= $51/2 + 24 = 99/2$ women
By ${M_1D_1}/W_1 = {M_2D_2}/W_2$
${17 × 33}/1 = {99 × D_2}/{2 × 3}$
$D_2 = {17 × 33 × 6}/99$ = 34 days
Using Rule 12,
Here, A = 8, B = 17, a = 33
$A_1 = 12, B_1$ = 24
Number of days= ${a(A . B)}/{A_1B + B_1A}$
= ${33 × (8 × 17)}/{12 × 17 + 24 × 8}$
= $4488/{204 + 192} = 4488/396$
No. of days to paint 3 houses
= $4488/396 × 3$ = 34 days
Question : 10 [SSC CHSL 2010]
2 men and 3 women together or 4 men together can complete a piece of work in 20 days.3 men and 3 women will complete the same work in :
a) 19 days
b) 18 days
c) 12 days
d) 16 days
Answer »Answer: (d)
Using Rule 1,
2 men + 3 women ≡ 4 men
2 men ≡ 3 women
3 men + 3 women ≡ 5 men
$M_1D_1 = M_2D_2$
4 × 20 = 5 × $D_2$
$D_2 = {4 × 20}/5$ =16 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 7 Working with individual wages Shortcuts »
Click to Read...Model 7 Working with individual wages 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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