# Quant Quiz on Time And Work For SBI PO,SBI Clerk,SSC CGL Exams

**1. A and B together can complete a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how many days, will all of them together complete the work?**

A. 16
cm

B. 15
cm

C. 12
cm

D. 10 cm

**2. A and B can do a piece of work in 72 days, B and C can do it in 120 days, and A and C can do it in 90 days. When A, B and C work together, how much work is finished by them in 3 days.**

A. 1/40

B. 1/30

C. 1/20

D. 1/10

**3. A can complete 2/3 of a work in 4 days and B can complete 3/5 of the work in 6 days. In how many days can both A and B together complete the work?**

A. 3

B. 2

C. 3
¾

D. 2
7/8

**4. A, B and C can do a piece of work in 15, 20 and 24 days respectively. If they get R. 76 as the total wages, find the share of C.**

A. Rs.30

B. Rs.
40

C. Rs.
20

D. Rs.
24

**5. A alone can complete a work in 18 days and B alone in 15 days. B alone worked at it for 10 days and then left the work. In how many more days, will A alone complete the remaining work?**

A. 5

B. 5
½

C. 6

D. 8

**6. A takes twice as much time as B and thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. The number of days required by B to do the work alone is**

A. 4

B. 6

C. 8

D. 12

**7. Working efficiency of P and Q for completing a piece of work are in the ratio 3 : 4. The number of days to be taken by them to complete the work will be in ratio:**

A. 3 :
2

B. 2 :
3

C. 3 :
4

D. 4 :
3

**8. A is 50% as efficient as B, C does half of the work done by A and B together. If C alone does the work in 20 days, then A, B and C together can do work in**

A. 5 2/3
days

B. 6 2/3
days

C. 6
days

D. 7
days

**9. If 10 men or 18 boys can do a work in 15 days, then the number of days required by 15 men and 33 boys to do twice the work is**

A. 9

B. 36

C. 4
½

D. 8

**10. If 12 men or 18 women can reap a field in 14 days, then working at the same rate, 8 men and 16 women can reap the same field in:**

A. 9
days

B. 5
days

C. 7
days

D. 8
days

**Answers With Explanation:**

1. A.

Work done by A and B in 1 day = 1/18

Work done by B and C in 1 day = 1/24

Work done by C and A in 1 day = 1/36

so Work done by 2(A, B and C) in 1 day = 1/18 +
1/24 + 1/36 = 9/72

so Work done by A, B and C in 1 day = 9/(72*2)
= 9/144 = 1/16

so all of them together complete the work in 16
days.

2. C.

Work done by (A + B) in 1 day = 1/72

Work done by (B + C) in 1 day = 1/120

Work done by (C + A) in 1 day = 1/90

so Work done by 2(A + B + C) in 1 day = 1/72 +
1/120 + 1/90 = 1/30

so Work done by (A + B + C) in 1 day =
1/(30*2) = 1/60

so Work done by (A + B + C) in 3 day = = 1/60
*3 = 1/20

3. C.

A can complete 2/3 of a work in 4 days

A can complete the whole of a work in (4*3)/2 =
6 days

Similarly B can complete the whole of a work in
(6*5)/3 = 10 days

So Work done by A and B in 1 day = 1/6 + 1/10 =
4/15

So Days taken by A and B to complete the whole
work = 15/4 = 3(3/4)

4. C.

Ratio of share of A,B C = ratio of 1 day's work

= 1/15 : 1/20 : 1/24

= 120*1/15:120*1/20 :
120*1/24 = 8:6:5

so sum of ratio terms = 8+6+5 = 19

So the share of C = 76*5/19 = Rs.20

5. C.

6. B.

Let B take x day to finish the work.

so A take 2x days and C takes 2x/3 days

so 1/2x + 1/x + 1/(2x/3) = 1/2

so x = 6

so The number of days required by B = 6 days

7. D.

8. B.

9. A.

10 men = 18 boys => 5 men = 9 boys => 15
men = 27 boys

15 men and 33 boys = 27 boys + 33 boys = 60
boys

so 18 boys can do a work in 15 days......I

Let 60 boys can do twice work in x days.....II

so (18*15)/1 = (60*x)/2 => x = 9 days

10. A

Quant Quiz on Time And Work For SBI PO,SBI Clerk,SSC CGL Exams
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