# 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?

A - 16 days

B - 20 days

C - 24 days

D - 30 days

### 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 together can finish a bit of work in 12 days, B and C can do it in 20 days and C and A do it 15 days. A, B and C together can finish it in

A - 6 days

B - 9 days

C - 10 days

D - 21/2 days

### Explanation

```(A+B) 1days works =1/12, (B+C) 1days work =1/20, (C+A) 1 days work=1/15.
2(A+B+C) 1days work = (1/12+1/20+1/15) = (5+3+4)/60=12/60=1/5.
⇒ (A+B+C) 1 days works=1/10.
∴A, B and C together can do it in 10 days```

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 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?

A - 6 days

B - 8 days

C - 9 days

D - 12 days

### 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?

A - 72 days

B - 20 days

C - 24 days

D - 36 days

### 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?

A - 5 days

B - 15 days

C - 28 days

D - 6 days

### 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 - If 5 men or 9 ladies can complete a bit of work in 19 days, 3 men and 6 ladies will do likewise work in

A - 10 days

B - 12 days

C - 13 days

D - 15 days

### Explanation

```5 men 1 day work = 1/19 ⇒ 1 man's 1 day work = 1/95
9 women 1 day work = 1/19 ⇒1 women 1 day work = 1/171
(3 men + 6 women) 1 day work = (3/95 + 6/171) = (27+30)/855 = 57/ 855 = 1/15
∴ 3 men and 6 women can finish the work in 15 days.```

Q 8 - 10 men can complete a bit of work in 10 days, though it takes 12 ladies to complete it in 10 days. On the off chance that 15 men and 6 ladies attempt to finish the work, how long will they take to finish it?

A - 2 days

B - 4 days

C - 5 days

D - 11 days

### Explanation

```10 men = 12 women ⇒1 women = 6/5 women
(15 men + 6 women)= (15* 6/5+ 6) = 24 women
12 women can do a piece of work in 10 days.
∴ 24 women will do it in (10*12)/24 = 5 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:

A - 1200

B - 1500

C - 1800

D - 2000

### 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, B and C finished a bit of work costing Rs. 1800. A labored for 6 days, B for 4 days and C for 9 days. On the off chance that their day by day wages are in the proportion 5:6:4, how much sum will be gotten by A?

A - 800

B - 600

C - 900

D - 750