# 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 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:

### 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 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?

### Answer : A

### Explanation

(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 a bit of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can complete the remaining work in:

### Answer : B

### Explanation

B's 9 days work = (1/12*9)= 3/4 ; remaining work = (1-3/4 )= 1/4 1/20 work is finished by A in 1 day. 1/4 works is finished by A in (20*1/4) days. =5 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

### 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 does half as much work as B in three ?fourth of the time. On the off chance that together they take 18 days to finish the work, the amount of time might B takes to do it?

### Answer : A

### Explanation

Let the whole work be done by B in x days. In 3/4 th of time, work done by A = 1/2 1/2 works is done by A in 3/4 x days. Whole work is done by A in (2* 3x/4) days = 3x/2 days ∴1/x + 2/3x = 1/18 ⇒18+ 12= x ⇒ x= 30

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:

### 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 - 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?

### 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 - 2 men and 3 ladies can complete a bit of work in 10 days, while 4 men can do it in 10 days. In how long will 3 men and 3 ladies complete it?

### Answer : C

### Explanation

Let 1 men 1 day work be x and 1 women 1 day work be y. then 2x+3y = 1/10 ... (1) 4x= 1/10 ⇒ x= 1/40 Putting x= 1/40 in (1), we get 2*1/40 + 3y = 1/10 ⇒3 y = (1/10- 1/20) = 1/20 ⇒y = 1/60 (3 men + 3 women)'s 1 day work = (3* 1/40 + 3*1/60) = (3/40 +1/20) = 1/8 SO, they will finish the work in 8 days.

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:

### 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 - A is thrice as great a laborers as B and along these lines can complete an occupation in 60 days less than B. Cooperating, they can do it in

### Answer : B

### Explanation

Suppose B taken x days to finish the job.Then, A takes (x-60) days to finish it. Work done by A in 1 days =3 times work done by B in 1 day 1/x-60=3/x⇒3x-180=x⇒2x=180⇒x=90. ∴B taken 90 days and A taken 30 days to finish the work. (A+B) 1 days work= (1/30+1/90) =4/90=2/45. Working together they finish the work in 45/2 days.