Model 7 Working with individual wages Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 7 EXERCISES
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New 299+ Time and Work Aptitude Test On Individual Wages »
The following question based on time & work topic of quantitative aptitude
(a) 19 days
(b) 18 days
(c) 12 days
(d) 16 days
The correct answers to the above question in:
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
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Read more working with individual wages Based Quantitative Aptitude Questions and Answers
Question : 1
If 10 men can do a piece of work in 12 days, the time taken by 12 men to do the same piece of work will be
a) 8 days
b) 9 days
c) 12 days
d) 10 days
Answer »Answer: (d)
Men | Days |
10 | 12 |
↑ | ↓ |
12 | x |
where, x is working hrs/days
Where = number of days
12 : 10 :: 12 : x
12 × x = 10 × 12
$x = {10 × 12}/12 = 10$ days
Using Rule 1,
Here,$M_1 = 10, D_1 = 12, M_2 = 12, D_2$ = ?
$M_1D_1 = M_2D_2$
10 × 12 = 12 × $D_2$
$D_2$ = 10 days
Question : 2
18 boys can do a piece of work in 24 days. In how many days can 27 boys do the same work ?
a) 48 days
b) 23 days
c) 16 days
d) 32 days
Answer »Answer: (c)
Using Rule 1,
$M_1D_1 = M_2D_2$
18 × 24 = 27 × $D_2$
$D_2 = {18 × 24}/27$ = 16 days
Question : 3
5 persons can prepare an admission list in 8 days working 7 hours a day. If 2 persons join them so as to complete the work in 4 days, they need to work per day for :
a) 8 hours
b) 12 hours
c) 10 hours
d) 9 hours
Answer »Answer: (c)
Using Rule 1,
More persons, less working hours/day
Less days, more working hours/ day
∴ ${Persons - {7 : 5}}/{Days - {4 : 8}}]$ : : 7 : x
where, x is hours/days
7 × 4 × x = 5 × 8 × 7
$x = {5 × 8 × 7}/{7 × 4} = 10$ hours
Question : 4
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 : 5
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 : 6
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
time & work Shortcuts and Techniques with Examples
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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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