# 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 - Ram and sham together can complete a vocation in 8 days. Ram can do likewise work all alone in 12 days. To what extent will sham take to carry out the occupation without anyone else's input?

### Answer : C

### Explanation

(Ram +sham)'s 1 day work = 1/8 , Ram 1 day work = 1/12 Sham 1 day work = (1/8-1/12) =1/24 ∴ Sham alone can finish the work in 24 days.

Q 2 - A and B can do a bit of work in 12 days. B and C can do it in 15 days and C and A can do it in 20 days. An alone can take every necessary step in:

### Answer : C

### Explanation

(A+B)'s 1 day work = 1/12 ; (B+C) 's 1 day work = 1/15 ; (C+A) 's 1 day work = 1/20 2(A+B+C) 's 1 day work = (1/12+ 1/15+ 1/20) = (5+4+3)/60 = 12/60 = 1/5 ∴ (A+B+C) 1 day work = 1/10 ⇒A 's 1 day work = (1/10- 1/15) = 1/30 ⇒A alone can do this work in 30 days.

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

### Answer : A

### Explanation

(1 m+ 1w +1 b) 's 1 day work = 1/3 1/6+ 1/x+1/18 = 1/3 ⇒ 4/18+ 1/x= 1/3 ⇒1/x = (1/3- 2/9) = 1/9 ⇒x= 9 ∴ 1 woman can finish the job in 9 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 do a bit of work in 12 days. 4 ladies can do it in 48 days and 10 kids can do it in 24 days. In how long can 10 men, 4 ladies and 10 kids together finish the bit of work?

### Answer : D

### Explanation

8 men 1 day work = 1/12 ⇒1 man 1 day work = 1/96 4 women 1 day work = 1/48 ⇒1 women 1 day work = 1/192 10 children 1 day work = 1/24 ⇒1 child 1 day work = 1/240 (10 men + 4 women +10 children)'s 1 day work = (10/96 + 4/192 +10/240) = (5/48+ 1/48+ 1/24) = (5+1+2)/48 = 8/48 = 1/6 So, they can finish the work in 6 days.

Q 7 - 6 men and 8 young men can do a bit of work in 10 days while 26 men and 48 young men complete it in 2 days. 15 men and 20 young men will complete it in

### Answer : A

### Explanation

Let 1 men's 1 day 's work be x and 1 boys 1 day work be y. then 6x+ 8y = 1/10 ... (1) 26x+ 48y= 1/2 ... (11) Multiplying (1) by 6 and subtracting (11) from it, we get 10x = (6/10- 1/2) = 1/10 ⇒ x= 1/100 Putting x = 1/100 in (1), we get 6/100 +8 y = 1/10 ∴ 8y = (1/10 ? 6/100) = 4/100 ⇒y = 4/ 8*100= 1/200 (15 men + 20 boys)'s 1day work = (15/100+ 20/200) = 50/200 = 1/4 ∴ 15 men + 20 boys will finish the work in 4 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:

### 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:

### 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 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.