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 - To finish a work, a sets aside half additional time than B. In the event that together they take 18 days to finish the work, what amount of time might B take to isn't that right?

A - 30 days

B - 35 days

C - 40 days

D - 45 days

Answer : A

Explanation

Suppose B takes x days. Then ,
 A takes 150x/100 days , i.e. 3x/2 days
∴1/x+ 2/3x=   1/18 ⇒5/3x= 1/18   ⇒3x = 90 ⇒x= 30
Hence B takes 30 days.

Q 2 - A and B together can finish a bit of work in 12 days, B and C can do it in 20 days and C and A do it 15 days. A, B and C together can finish it in

A - 6 days

B - 9 days

C - 10 days

D - 21/2 days

Answer : C

Explanation

(A+B) 1days works =1/12, (B+C) 1days work =1/20, (C+A) 1 days work=1/15.
2(A+B+C) 1days work = (1/12+1/20+1/15) = (5+3+4)/60=12/60=1/5.
⇒ (A+B+C) 1 days works=1/10.
∴A, B and C together can do it in 10 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 and B can complete a bit of work in 30 days. They began at it for 20 days and after that B left. The remaining work was finished by An alone in 20 more days. An alone can complete the work in

A - 48 days

B - 50 days

C - 54 days

D - 60 days

Answer : D

Explanation

Work done by (A+B) in 20 days = (1/30*20) = 2/3 ; remaining work = (1- 2/3 )= 1/3
1/3 work is done by B in 20 days.
Whole work is done by A in (20*3) = 60 days

Q 5 - The rates of working of A and B are in the proportion 3:4. The no. of days taken by them to complete the work is in the proportion

A - 3:4

B - 9:16

C - 4:3

D - none of these

Answer : C

Explanation

Ratio of time taken =  1/3 : 1/4 = 4:3

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 - 4 men and 6 ladies complete an occupation in 8 days while 3 men and 7 ladies complete it in 10 days. 10 ladies cooperating will complete it in

A - 24 days

B - 32 days

C - 36 days

D - 40 days

Answer : D

Explanation

Let 1 men 1 day work be x and 1 women 1 day work be y. then
4x+6 y= 1/8 ... (1)    3x+7y = 1/10 ...(11)
Multiplying (1) by 3, (11) by 4 and subtracting, we get
10 y = (4/10- 3/8) = (16-15)/40 = 1/40 ⇒y = 1/400
1 women's 1 day work = 1/400
10 women 1 day work = (1/400*10) = 1/40
Hence 10 women can finish the work in 40 days

Q 8 - 10 men can complete a bit of work in 10 days, though it takes 12 ladies to complete it in 10 days. On the off chance that 15 men and 6 ladies attempt to finish the work, how long will they take to finish it?

A - 2 days

B - 4 days

C - 5 days

D - 11 days

Answer : C

Explanation

10 men = 12 women ⇒1 women = 6/5 women
(15 men + 6 women)= (15* 6/5+ 6) = 24 women
12 women can do a piece of work in 10 days.
∴ 24 women will do it in (10*12)/24 = 5 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 man, a ladies and a kid can finish a vocation in 3 days, 4 days and 12 days individually. What number of young men must help 1 man and 1 lady to finish the occupation in 1/fourth of the day?

A - 10

B - 14

C - 19

D - 41

Answer : D

Explanation

1 man 1 days work =1/3,1 woman 1 days work=1/4,1 boy 1 day work=1/12.
1 man 1/4 day work= (1/3*1/4) =1/12, 1 woman 1/4 day work work= (1/4*1/4) =1/6.
1 boy 1/4 day work = (1/12*1/4) =1/48.
Let (1 man +1 woman + x boys) work=1⇒1/12+1/16+x/48=1⇒7+x=48⇒x=41.

aptitude_time_work.htm
Advertisements