Aptitude - Time & Work Online Quiz


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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 - A can do a bit of work in 8 hours while B along can do it in 12 hours. Both A and B cooperating can complete the work in:

A - 10 hours

B - 4 hours

C - 21/4 hours

D - 24/5 hours

Answer : D

Explanation

A's 1 hour work = 1/8, B 's 1 hour work =  1/12
(A+B)'s 1 hour work =  (1/8 +1/12) = 5/24
Hence, A and B together can finish it in 24/5 hours

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 20 days which B can do in 12 days. B worked at it for 9 days. A can complete the remaining work in:

A - 3 days

B - 5 days

C - 7 days

D - 11 days

Answer : B

Explanation

B's 9 days work = (1/12*9)= 3/4 ; remaining work = (1-3/4 )= 1/4 1/20 work is finished by A in 1 day. 1/4 works is finished by A in (20*1/4) days. =5 days

Q 4 - A can do a bit of work in 10 days and B can do it in 20 days. They begin the work together . Be that as it may, following 5 days, A leaves off. B will do the remaining work in

A - 5 days

B - 6 days

C - 8 days

D - 10 days

Answer : A

Explanation

(A+B)'s 5 days work = 5(1/10+ 1/20) = 3/4 ; remaining work = (1- 3/4) = 1/4 1/20 work is done by B in 1 day. 1/4 work is done B in (20* 1/4) = 5 days

Q 5 - A does half as much work as B in three ?fourth of the time. On the off chance that together they take 18 days to finish the work, the amount of time might B takes to do it?

A - 30 days

B - 35 days

C - 40 days

D - none of these

Answer : A

Explanation

Let the whole work be done by B in x days.
In 3/4 th of time, work done by A = 1/2
1/2 works is done by A in 3/4 x days.
Whole work is done by A in (2* 3x/4) days = 3x/2 days
∴1/x + 2/3x = 1/18 ⇒18+ 12= x ⇒ x= 30

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 - 10 ladies can finish a work in 8 days and 10 youngsters take 12 days to finish the work. How long will 6 ladies and 3 kids together take to finish the work?

A - 7

B - 10

C - 9

D - 12

Answer : B

Explanation

10 women 1 days work =1/8 ⇒1 women 1 day work = 1/80
10 children 1 day work = 1/12 ⇒1 children 1 day work = 1/120
(6 women + 3 children) 1 day work = (6/80 +3/120) = (3/40+ 1/40) = 4/40 = 1/10
So, they can finish the work in 10 days.

Q 8 - 2 men and 3 ladies can complete a bit of work in 10 days, while 4 men can do it in 10 days. In how long will 3 men and 3 ladies complete it?

A - 6 days

B - 17/3 days

C - 8 days

D - 25/3 day

Answer : C

Explanation

Let 1 men 1 day work be x and 1 women 1 day work be y. then
2x+3y = 1/10 ...  (1) 4x= 1/10 ⇒ x= 1/40
Putting x= 1/40 in (1), we get
2*1/40 + 3y = 1/10   ⇒3 y = (1/10- 1/20) = 1/20 ⇒y = 1/60
(3 men + 3 women)'s 1 day work = (3* 1/40 + 3*1/60) = (3/40 +1/20) = 1/8
SO, they will finish the work in 8 days.

Q 9 - Two man embrace to do a bit of work for Rs. 4000. One alone can do it in 6 days, the other in 8 days. With the assistance of a kid, they complete it in 3 days. The young men offer is:

A - 400

B - 500

C - 600

D - 800

Answer : B

Explanation

Let the men be A and B and the boy be C.
A's 1 days work = 1/6, B's 1 day work = 1/8. (A+B+C)'s 1 day work = 1/3
1/6 + 1/8 +1/x = 1/3 ⇒1/x = (1/3- 7/24) = 1/24
Ratio of shares of A, B, C = 1/6: 1/8: 1/24 = 4:3:1
Boys share = (4000*1/8) = RS. 500

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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