Aptitude - Time & Work Online Quiz



Following quiz provides Multiple Choice Questions (MCQs) related to Simple Interest. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - Kamal can do a work in 15 days. Bimal is half more proficient than kamala. The no. of days, Bimal will take to do likewise bit of work, is

A - 10

B - 21/2

C - 12

D - 14

Answer : A

Explanation

Kamal 1 day work=1/5.
Bimal 1 days work=150% of 1/15=150/100*1/15 =1/10.
∴Bimal can finish the work in 10 days.

Q 2 - A and B can finish a bit of work in 8 days while B and C together can do it in 12 days . All the three can together finish in 6 days. In the amount of the truth will surface eventually and C together finish the work?

A - 8 days

B - 10 days

C - 12 days

D - 20 days

Answer : A

Explanation

(A+B) 1 day work=1/8, (B+C) 1 day work=1/12.
Suppose (A+C) can finish it in x day. Then, (A+C) 1 day work=1/.
2(A+B+C) 1days work = (1/8+1/12+1/x)
⇒ (2*1/6) = (1/8+1/12+1/x) =5/24+1/x
⇒1/x = (1/3-5/24)3/24=1/8⇒x=8.
∴A and C can finish the work in 8 days.

Q 3 - A can do a bit of work in 24 days while B alone can do it in 16 days. With the help of C, they can complete the work in 8 days. C alone can take every necessary step in

A - 32 days

B - 36 days

C - 40 days

D - 48 days

Answer : D

Explanation

(A+B)'s 1 day work = (1/24+1/16)=  5/48
(A+B+C) 's 1 day work = 1/8
C's 1 day work = (1/8- 5/48) = 1/48
∴C alone can finish the work in 48 days.

Q 4 - A can make a sure showing in 25 days which B alone can do in 20 days. A began the work and was joined by B following 10 days. The work went on for

A - 25/2 days

B - 128/9 days

C - 15 days

D - 50/3 days

Answer : D

Explanation

A's 10 days work = (1/25*10)= 2/5 ; remaining work = (1-2/5) = 3/5
(A+B)'s 1 day work = (1/25+1/20) = 9/100
9/100 work is finished by (A+B) In 1 day.
3/5 work is finished by (A+B) in (100/9* 3/5) days = 20/3 days
Total time taken = (10+ 20/3) = 50/3 days

Q 5 - Aand B can finish a bit of work in 12 days and 18 days separately. A starts to take every necessary step and they work on the other hand each one in turn for one day each. The entire work will be finished in

A - 43/3 days

B - 47/3 days

C - 49/3 days

D - 56/3 days

Answer : A

Explanation

Working on alternate day s(A+B) 's 2 days work = (1/12+1/18)= 5/36
(A+B) 2 days work = 5/36
(A+B)'s 14 days work = (5/36*7) = 35/36 ; remaining work = (1-35/36)= 1/36
Now it is A's turn.
1/12 work is done by A in 1 day.
1/36 work is done by A in (12* 1/36) day = 1/3 day
Total time taken = 43/3 days

Q 6 - 8 men can delve a pit in 20 days. On the off chance that a man works half double as a kid then 4 men and 9 kids can delve a comparable pit in:

A - 10 days

B - 12 days

C - 15 days

D - 16 days

Answer : D

Explanation

1 man = 3/2 boys , 8 men = (8*3/2) boys = 12 boys
(4men + 9 boys) = (4*3/2 +9) boys = 15 boys
Now, 12 boys dig it in 20 days.
1 boy digs it in (20*12) days.
15 boys will dig it in (20*12)/15 days = 16 days

Q 7 - If 5 men or 9 ladies can complete a bit of work in 19 days, 3 men and 6 ladies will do likewise work in

A - 10 days

B - 12 days

C - 13 days

D - 15 days

Answer : D

Explanation

5 men 1 day work = 1/19 ⇒ 1 man's 1 day work = 1/95
9 women 1 day work = 1/19 ⇒1 women 1 day work = 1/171
(3 men + 6 women) 1 day work = (3/95 + 6/171) = (27+30)/855 = 57/ 855 = 1/15
∴ 3 men and 6 women can finish the work in 15 days.

Q 8 - A and B attempted to do a bit of work for rs .4500. An alone could do it in 8 days and B alone in 12 days. With the help of C, they completed the work in 4 days. C's offer of cash is:

A - 375

B - 750

C - 1500

D - 2250

Answer : B

Explanation

A's 1 day work = 1/8 ,B's 1 day work = 1/12
(A+B+C) 's 1 days work = 1/4
  C 's 1 day work = 1/4 - (1/8+ 1/12) = (1/4 -5/24) = 1/24
A: B: C = 1/8: 1/12: 1/24 = 3:2:1
C's share = (4500* 1/6) = Rs. 750

Q 9 - A does 4/5th of a work in 20 days. He then assembles in B and they complete the remaining work in 3 days. To what extent B alone would take to do the entire work?

A - 23 days

B - 37 days

C - 75/2 days

D - 40 days

Answer : C

Explanation

4/5 work is done by A in 20 days.
Whole work is done by A in (20*5/4) days =25 days.
1/5th work is done by (A+B) in 3 days.
Whole work is done by (A+B) in (3*5) days=15 days.
B 1 days work= (1/15-1/25) =2/75.
B alone can finish the work in 75/2 days.

Q 10 - A is thrice as great a laborers as B and along these lines can complete an occupation in 60 days less than B. Cooperating, they can do it in

A - 20 days

B - 45/2 days

C - 25 days

D - 30 days

Answer : B

Explanation

Suppose B taken x days to finish the job.Then, A takes (x-60) days to finish it.
Work done by A in 1 days =3 times work done by B in 1 day
 1/x-60=3/x⇒3x-180=x⇒2x=180⇒x=90.
∴B taken 90 days and A taken 30 days to finish the work.
(A+B) 1 days work= (1/30+1/90) =4/90=2/45.
Working together they finish the work in 45/2 days.
aptitude_time_work.htm
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