# Aptitude - Time & Work Online Quiz

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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

A - 5 hours

B - 11/2 hours

C - 6 hours

D - 13/2 hours

### 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 - 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:

A - 42/3 days

B - 24 days

C - 30 days

D - 40 days

### 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 and B together can finish a work in 3 days. They begin together. In any case, following 2 days, B left the work. In the event that the work is finished following 2 more days, B alone could take every necessary step in

A - 5 days

B - 6 days

C - 9 days

D - 10 days

### Explanation

(A+B)'s 2 day work = (1/3*2)= 2/3 A's 2 days work = (1- 2/3) = 1/3 B's 2 days work = (2/3- 1/3) = 1/3 B's 1 day work = 1/6 ∴ B alone can finish the work in 6 days.

Q 4 - A and B can complete a bit of work in 30 days. They began at it for 20 days and after that B left. The remaining work was finished by An alone in 20 more days. An alone can complete the work in

A - 48 days

B - 50 days

C - 54 days

D - 60 days

### Explanation

```Work done by (A+B) in 20 days = (1/30*20) = 2/3 ; remaining work = (1- 2/3 )= 1/3
1/3 work is done by B in 20 days.
Whole work is done by A in (20*3) = 60 days```

Q 5 - Aand B can finish a bit of work in 12 days and 18 days separately. A starts to take every necessary step and they work on the other hand each one in turn for one day each. The entire work will be finished in

A - 43/3 days

B - 47/3 days

C - 49/3 days

D - 56/3 days

### Explanation

```Working on alternate day s(A+B) 's 2 days work = (1/12+1/18)= 5/36
(A+B) 2 days work = 5/36
(A+B)'s 14 days work = (5/36*7) = 35/36 ; remaining work = (1-35/36)= 1/36
Now it is A's turn.
1/12 work is done by A in 1 day.
1/36 work is done by A in (12* 1/36) day = 1/3 day
Total time taken = 43/3 days```

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:

A - 10 days

B - 12 days

C - 15 days

D - 16 days

### 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 - If 1 men or 2 ladies or 3 kid can do a bit of work in 44 days , then the same bit of work will be finished by 1 men , 1 ladies and 1 kid in

A - 21 days

B - 24 days

C - 26 days

D - 33 days

### Explanation

```1 man 's 1 day work = 1/44 , 2 women?s  1 day  work =  1/44
∴ 1 women 1 day work = 1/88
3 boys 1 day's work = 1/44 ⇒1 boys 1 day work = 1/132
(1 man + 1 women + 1 boy)'s 1 day work =  (1/44+ 1/88+1/132 )= (6+3+2)/264
= 11/264 = 1/24
∴ 1 man+ 1 women + 1 boy's can finish this work in 24 days.```

Q 8 - 8 kids and 12 men finish a sure bit of work in 9 days. In the event that every youngster takes double the time taken by a men to complete the work, in how long will 12 men complete the same work?

A - 8 days

B - 15 days

C - 9 days

D - 12 days

### Explanation

```2 children = 1 man
∴ (8 children + 12 man) = 16 men
Let the required number of days be x.
Less man, more days
12: 16:: 9: x ⇒x = 16*9/12 = 12 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:

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 - 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

### 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
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