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 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 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 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 - A certain no. of men finishes a bit of work in 60 days. On the off chance that there were 8 men more work could be done in 10 days less. What number of men arrived initially?

A - 30

B - 40

C - 32

D - 36

Answer : B

Explanation

Let there be x men originally.
X man finish the work in 60 days and (x+8) finish it in 50 days.
X man finish the job in 60 days.
⇒ 1 man can finish it in 50 (x+8) days.
∴ 60 x = 50(X+80 ⇒10 x= 400 ⇒x = 40
Hence, there were 40 men originally.

Q 6 - 9 youngsters can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?

A - 68 days

B - 81 days

C - 96 days

D - 124 days

Answer : B

Explanation

9 children 1 day work = 1/360 ⇒1 child 1 day work = 1/3240
18 man 1 day work = 1/72 ⇒1 man 1 day work = 1/1296
12 women 1 day work = 1/162 ⇒1 women 1 day work = 1/1944
(4men +12 women +10 children) 1 day work = (4/1296+ 12/1944+10/3240)
= (1/324+1/162+1/324) = 4/324 = 1/81
Hence they can finish the work in 81 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 - 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 - 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, B and C finished a bit of work costing Rs. 1800. A labored for 6 days, B for 4 days and C for 9 days. On the off chance that their day by day wages are in the proportion 5:6:4, how much sum will be gotten by A?

A - 800

B - 600

C - 900

D - 750

Answer : B

Explanation

Ratio of wages of A,B,C=(6*5):(4*6):(9*4)=30:24:36=5:4:6. A share=Rs (1800*5/15) =Rs 600.


aptitude_time_work.htm

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