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 can do 1/3 of a work in 5 days and B can do 2/5 of the work in 10 days. In how long both A and B together can take the necessary steps?

A - 31/4 days

B - 44/5 days

C - 75/8 days

D - 10 days

Answer : C

Explanation

1/3 work is done by A in 5 days.
Whole work will be done by A in 15 days.
2/5 work is done by B in 10 days.
Whole work will be done by B in (10*5/2) day?s i.e 25 days
(A+B) 's 1 days work = (1/15+1/25) = 8/75
∴A and B can do the work in 75/8 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 man and a kid finish a work together in 24 days. On the off chance that throughout the previous 6 days man alone takes every necessary step then it is finished in 26 days. To what extent the kid will take to complete the work done?

A - 72 days

B - 20 days

C - 24 days

D - 36 days

Answer : D

Explanation

Work done by  (man + boy ) in 20 days = (1/24*20)= 5/6
              Remaining work = (1-5/6) = 1/6
1/6 work is done by boy in 6 days.
Whole work will be done by the boy in (6*6) = 36 days

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

A - 9 days

B - 21 days

C - 24 days

D - 27 days

Answer : A

Explanation

(1 man+ 1 women +1 boy ) 1 day work = 1/3
Suppose the women alone can do it in x days. Then
1/6 +1/x+1/18= 1/3 ⇒4/18 +1/x = 1/3 ⇒1/x = (1/3- 2/9) = 1/9
So, 1 woman can do the work in 9 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 - 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 - 10 ladies can finish a work in 7 days and 10 youngsters take 14 days to finish the work. How long will 5 ladies and 10 kids take to finish the work?

A - 3

B - 5

C - 7

D - none of these

Answer : C

Explanation

10 woman 1 day work =1/7⇒1 woman 1 day work =1/70.
10 children 1 day work =1/14⇒1 child 1 day work=1/140.
(5 woman +10children) 1 days work= (5*1/70+10*1/140) = (1/14+1/14) =2/14=1/7.
∴5 woman and 10 children will finish the work in 7 days.


aptitude_time_work.htm

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