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 - 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 can do a work in 4 days, B can do it in 5 days and C can do it in 10 days. A, B and C together can take the necessary steps in

A - 8/5 days

B - 20/11 days

C - 17/6 days

D - 3 days

Answer : B

Explanation

A 1 days work=1/4, B 1 days work=1/5 and C 1 days work=1/10.
(A+B+C) 1 days work= (1/4+1/5+1/10) = (5+4+2)/2=11/20.
∴A, B, C together can do it in 20/11 days,i.e.20/11days.

Q 3 - A and B together can finish a work in 3 days. They begin together. In any case, following 2 days, B left the work. In the event that the work is finished following 2 more days, B alone could take every necessary step in

A - 5 days

B - 6 days

C - 9 days

D - 10 days

Answer : B

Explanation

(A+B)'s 2 day work = (1/3*2)= 2/3 A's 2 days work = (1- 2/3) = 1/3 B's 2 days work = (2/3- 1/3) = 1/3 B's 1 day work = 1/6 ∴ B alone can finish the work in 6 days.

Q 4 - A and B can do a bit of work in 45 days and 40 days . they started the work together however A leaves after a few days and B completed the remaining work in 23 days . After how long did A leaves?

A - 6 days

B - 8 days

C - 9 days

D - 12 days

Answer : C

Explanation

Work done by B in 23 days = (23*1/40) = 23/40 ; remaining work = (1- 23/40)= 17/40
(A+B)'s 1 day work = ( 1/45+ 1/40) = (8+9)/360 = 17/360
17/360 work is done by (A+B) in 1 day.
17/40 work is done by them in (360/17*17/40) = 9 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 - 8 men can delve a pit in 20 days. On the off chance that a man works half double as a kid then 4 men and 9 kids can delve a comparable pit in:

A - 10 days

B - 12 days

C - 15 days

D - 16 days

Answer : D

Explanation

1 man = 3/2 boys , 8 men = (8*3/2) boys = 12 boys
(4men + 9 boys) = (4*3/2 +9) boys = 15 boys
Now, 12 boys dig it in 20 days.
1 boy digs it in (20*12) days.
15 boys will dig it in (20*12)/15 days = 16 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

Answer : D

Explanation

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

Answer : B

Explanation

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 - 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 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
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