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.
Q 1 - A does 20% less work than B. In the event that A can finish a bit of work in 15/2 hours, then B can do it in
A - 5 hours
B - 11/2 hours
C - 6 hours
D - 13/2 hours
Suppose in a given time B completes the whole work.
Then, in that time A does 80/100 work i.e. 4/5 work
Ratio of work done by A and B = inverse ratio of time taken by A and B.
Suppose B do the work in x hrs .Then, 4/5:1=2/15:1/x⇒4:5=2x: 15
⇒ (5*2x) = (4*15) ⇒10x =60⇒x=6.
Time taken by B to finish the work=6hrs.
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
(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 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
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 can make a sure showing in 25 days which B alone can do in 20 days. A began the work and was joined by B following 10 days. The work went on for
A - 25/2 days
B - 128/9 days
C - 15 days
D - 50/3 days
A's 10 days work = (1/25*10)= 2/5 ; remaining work = (1-2/5) = 3/5
(A+B)'s 1 day work = (1/25+1/20) = 9/100
9/100 work is finished by (A+B) In 1 day.
3/5 work is finished by (A+B) in (100/9* 3/5) days = 20/3 days
Total time taken = (10+ 20/3) = 50/3 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
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
(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 - If 5 men or 9 ladies can complete a bit of work in 19 days, 3 men and 6 ladies will do likewise work in
A - 10 days
B - 12 days
C - 13 days
D - 15 days 
5 men 1 day work = 1/19 ⇒ 1 man's 1 day work = 1/95
9 women 1 day work = 1/19 ⇒1 women 1 day work = 1/171
(3 men + 6 women) 1 day work = (3/95 + 6/171) = (27+30)/855 = 57/ 855 = 1/15
∴ 3 men and 6 women can finish the work in 15 days.
Q 8 - A and B attempted to do a bit of work for rs .4500. An alone could do it in 8 days and B alone in 12 days. With the help of C, they completed the work in 4 days. C's offer of cash is:
A - 375
B - 750
C - 1500
D - 2250
A's 1 day work = 1/8 ,B's 1 day work = 1/12
(A+B+C) 's 1 days work = 1/4
  C 's 1 day work = 1/4 - (1/8+ 1/12) = (1/4 -5/24) = 1/24
A: B: C = 1/8: 1/12: 1/24 = 3:2:1
C's share = (4500* 1/6) = Rs. 750
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
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 works twice as quick as B. On the off chance that the two can together complete a bit of work in 12 days, then B alone can do it in
A - 24 days
B - 27 days
C - 36 days
D - 48 days
Let B 1 day work =x. Then , A 1 days work=2x
X+2x=1/12⇒3x=1/12⇒x=1/36.
B 1 day work=1/36.
Hence B alone can finish the work in 36 days.

    87 Lectures 
     22.5 hours 

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