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 : 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

The correct answers to the above question in:

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

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

Question : 1

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 : 2

10 men working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days ?

a) 15 days

b) 12 days

c) 6 days

d) 10 days

Answer: (c)

Using Rule 1,

MenDaysWorking hours
10186
1512x

where, x is working hrs/days

∴ ${15 : 10}/{12 : 18}]$ : : 6 : x

15 × 12 × x = 10 × 18 × 6

$x = {10 × 18 × 6}/{15 × 12} = 6$ hours

Question : 3

If the work done by (x –1) men in (x + 1) days is to the work done by (x + 2) men in (x - 1) days are in the ratio 9 : 10, then the value of x is equal to :

a) 8

b) 7

c) 5

d) 6

Answer: (a)

Using Rule 1,

${M_1D_1}/W_1 = {M_2D_2}/W_2$

$W_1/W_2 = {M_1D_1}/{M_2D_2}$

$9/10 = {(x - 1)(x + 1)}/{(x + 2)(x - 1)} = {x + 1}/{x + 2}$

10x + 10 = 9x + 18

x = 18 - 10 = 8

Question : 4

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 : 5

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: (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

Question : 6

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

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