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 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 24 days while B alone can do it in 16 days. With the help of C, they can complete the work in 8 days. C alone can take every necessary step in

A - 32 days

B - 36 days

C - 40 days

D - 48 days

Answer : D

Explanation

(A+B)'s 1 day work = (1/24+1/16)=  5/48
(A+B+C) 's 1 day work = 1/8
C's 1 day work = (1/8- 5/48) = 1/48
∴C alone can finish the work in 48 days.

Q 4 - A can do a bit of work in 10 days and B can do it in 20 days. They begin the work together . Be that as it may, following 5 days, A leaves off. B will do the remaining work in

A - 5 days

B - 6 days

C - 8 days

D - 10 days

Answer : A

Explanation

(A+B)'s 5 days work = 5(1/10+ 1/20) = 3/4 ; remaining work = (1- 3/4) = 1/4 1/20 work is done by B in 1 day. 1/4 work is done B in (20* 1/4) = 5 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 - 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 - 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 - 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 - 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 - 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
Advertisements