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 - Ram and sham together can complete a vocation in 8 days. Ram can do likewise work all alone in 12 days. To what extent will sham take to carry out the occupation without anyone else's input?

A - 16 days

B - 20 days

C - 24 days

D - 30 days

Answer : C

Explanation

(Ram +sham)'s 1 day work = 1/8
 , Ram 1 day work =  1/12
Sham 1 day work =   (1/8-1/12) =1/24
∴ Sham alone can finish the work in 24 days.

Q 2 - A and B can do a bit of work in 12 days. B and C can do it in 15 days and C and A can do it in 20 days. An alone can take every necessary step in:

A - 42/3 days

B - 24 days

C - 30 days

D - 40 days

Answer : C

Explanation

(A+B)'s 1 day work = 1/12 ; (B+C) 's 1 day work  = 1/15 ;  (C+A) 's 1 day work = 1/20
2(A+B+C) 's 1 day work = (1/12+ 1/15+ 1/20) = (5+4+3)/60 = 12/60 = 1/5
∴ (A+B+C) 1 day work = 1/10
⇒A 's 1 day work = (1/10- 1/15) = 1/30
⇒A alone can do this work in 30 days.

Q 3 - A man, a ladies and a kid together finish a work in 3 days .If a men alone can do it in 6 days and a kid alone in 18 days, to what extent a ladies will take to finish the work?

A - 9 days

B - 21 days

C - 24 days

D - 27 days

Answer : A

Explanation

(1 m+ 1w +1 b) 's 1 day work = 1/3
1/6+ 1/x+1/18 = 1/3 ⇒ 4/18+ 1/x= 1/3 ⇒1/x = (1/3- 2/9) = 1/9 ⇒x= 9
∴ 1 woman can finish the job in 9 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 do a bit of work in 12 days. 4 ladies can do it in 48 days and 10 kids can do it in 24 days. In how long can 10 men, 4 ladies and 10 kids together finish the bit of work?

A - 5 days

B - 15 days

C - 28 days

D - 6 days

Answer : D

Explanation

8 men 1 day work = 1/12  ⇒1 man 1 day work = 1/96
4 women 1 day work = 1/48 ⇒1 women 1 day work = 1/192
10 children 1 day work = 1/24 ⇒1 child 1 day work = 1/240
(10 men + 4 women +10 children)'s 1 day work = (10/96 + 4/192 +10/240)
= (5/48+ 1/48+ 1/24) = (5+1+2)/48 = 8/48 = 1/6
So, they can finish the work in 6 days.

Q 7 - 6 men and 8 young men can do a bit of work in 10 days while 26 men and 48 young men complete it in 2 days. 15 men and 20 young men will complete it in

A - 4 days

B - 5 days

C - 6 days

D - 7 days

Answer : A

Explanation

Let 1 men's 1 day 's work be x and 1 boys  1 day work be y. then
6x+ 8y = 1/10 ... (1)
26x+ 48y= 1/2 ... (11)
Multiplying (1) by 6 and subtracting (11) from it, we get
10x = (6/10- 1/2) = 1/10 ⇒ x= 1/100
Putting x = 1/100 in (1), we get 6/100 +8 y = 1/10
∴ 8y = (1/10 ? 6/100) = 4/100 ⇒y = 4/ 8*100= 1/200
(15 men + 20 boys)'s 1day work = (15/100+ 20/200) = 50/200 = 1/4
∴ 15 men + 20 boys will finish the work in 4 days.

Q 8 - If 12 man and 16 young men can do a bit of work in 5 days ; 13 man and 24 young men can do it in 4 days , then the proportion of the everyday work done by a men to that of a kid is:

A - 2:1

B - 3:1

C - 3:2

D - 5:4

Answer : A

Explanation

Let 1 men 1 day work be x and 1 boy 1 day work be y.
Then 12x + 16 y = 1/5 ... (.1) 13x +24 y = 1/4 ... (2)
Multiplying (1) by 3 and (2) by 2 and subtracting, we get
10 x= (3/5- 1/2) = 1/10 ⇒x = 1/100
Putting x = 1/100 in (1), we get 16 y = (1/5- 12/100) = 8/100 ⇒y = 1/200
Required ratio = 1/100: 1/200 = 2:1

Q 9 - An alone can complete a work in 10 days which B alone can complete in 15 days. On the off chance that they cooperate and complete it, then out of an aggregate wages of rs. 3000. A will get:

A - 1200

B - 1500

C - 1800

D - 2000

Answer : C

Explanation

A's 1 day  work = 1/10 ,  B's 1 day work = 1/15
Ratio of wages of A and B = 1/10: 1/15 = 3:2
A's share = (3000*3/5) = 1800 rs.

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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