# 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 - To finish a work, a sets aside half additional time than B. In the event that together they take 18 days to finish the work, what amount of time might B take to isn't that right?

A - 30 days

B - 35 days

C - 40 days

D - 45 days

### Explanation

```Suppose B takes x days. Then ,
A takes 150x/100 days , i.e. 3x/2 days
∴1/x+ 2/3x=   1/18 ⇒5/3x= 1/18   ⇒3x = 90 ⇒x= 30
Hence B takes 30 days.```

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?

A - 4 days

B - 10 days

C - 15 days

D - 20 days

### 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 1/3 of a work in 5 days and B can do 2/5 of the work in 10 days. In how long both A and B together can take the necessary steps?

A - 31/4 days

B - 44/5 days

C - 75/8 days

D - 10 days

### Explanation

```1/3 work is done by A in 5 days.
Whole work will be done by A in 15 days.
2/5 work is done by B in 10 days.
Whole work will be done by B in (10*5/2) day?s i.e 25 days
(A+B) 's 1 days work = (1/15+1/25) = 8/75
∴A and B can do the work in 75/8 days```

Q 4 - A can make a sure showing in 25 days which B alone can do in 20 days. A began the work and was joined by B following 10 days. The work went on for

A - 25/2 days

B - 128/9 days

C - 15 days

D - 50/3 days

### Explanation

```A's 10 days work = (1/25*10)= 2/5 ; remaining work = (1-2/5) = 3/5
(A+B)'s 1 day work = (1/25+1/20) = 9/100
9/100 work is finished by (A+B) In 1 day.
3/5 work is finished by (A+B) in (100/9* 3/5) days = 20/3 days
Total time taken = (10+ 20/3) = 50/3 days```

Q 5 - The rates of working of A and B are in the proportion 3:4. The no. of days taken by them to complete the work is in the proportion

A - 3:4

B - 9:16

C - 4:3

D - none of these

### Explanation

`Ratio of time taken =  1/3 : 1/4 = 4:3`

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

A - 9 days

B - 21 days

C - 24 days

D - 27 days

### Explanation

```(1 man+ 1 women +1 boy ) 1 day work = 1/3
Suppose the women alone can do it in x days. Then
1/6 +1/x+1/18= 1/3 ⇒4/18 +1/x = 1/3 ⇒1/x = (1/3- 2/9) = 1/9
So, 1 woman can do the work in 9 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?

A - 7

B - 10

C - 9

D - 12

### 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 - 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

### 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 - 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:

A - 400

B - 500

C - 600

D - 800

### 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 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

A - 24 days

B - 27 days

C - 36 days

D - 48 days

### 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.```

aptitude_time_work.htm 