Model 7 Working with individual wages Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 7 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on time & work topic of quantitative aptitude

Questions : 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

The correct answers to the above question in:

Answer: (d)

MenDays
1012
12x

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

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Read more working with individual wages Based Quantitative Aptitude Questions and Answers

Question : 1

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: (c)

Using Rule 1,

$M_1D_1 = M_2D_2$

18 × 24 = 27 × $D_2$

$D_2 = {18 × 24}/27$ = 16 days

Question : 2

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: (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 : 3

If 80 persons can finish a work within 16 days by working 6 hours a day, the number of hours a day, should 64 persons work to finish that very job within 15 days is :

a) 6 hrs.

b) 8 hrs.

c) 5 hrs.

d) 7 hrs.

Answer: (b)

Using Rule 1,

$M_1D_1T_1 = M_2D_2T_2$

80 × 16 × 6 = 64 × 15 × $T_2$

$T_2 = {80 × 16 × 6}/{64 × 15} = 8$ hours

Question : 4

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: (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

Question : 5

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: (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 : 6

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: (c)

$M_1D_1 = M_2D_2$

24 × 17 = $M_2$ × 51

$M_2 = {24 × 17}/51$ = 8 men

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