# 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

### Answer : C

### Explanation

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 - 3 men or 5 ladies can do a work in 12 days. To what extent will 6 men and 5 ladies take to complete the work?

### Answer : A

### Explanation

3 men =5 women ⇒(6 men +5 women )=15 women Now, 5 women can do it in 12 days. 1 woman can do it in (12*5) days. 15 women can do it in 12*5/15days=4days.

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

### 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 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?

### 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?

### 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 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 - 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

### 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 - 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 - 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 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

### Answer : C

### Explanation

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.