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.

Questions and Answers

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

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 - 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

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 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?

A - 9 days

B - 21 days

C - 24 days

D - 27 days

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 14 days which B can alone do in 21 days. They start together however 3 days before the fruition of the work, A leaves off. The aggregate no. of days for the work to be finished is

A - 33/5 days

B - 17/2 days

C - 51/5 days

D - 27/2 days

Answer : C

Explanation

B's 3 days work = (3*1/21)= 1/7 ; Remaining work = (1-1/7) = 6/7
   (A+B)'s 1 day?s work = (1/14+ 1/21) = 5/42
5/42 work is finished by (A+B) in 1 day.
6/7 work is finished by (A+B) in (42/5 * 6/7) days = 36/5 days
 Total no. of days = (3+36/5) = 51/5 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

Answer : A

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 - 9 youngsters can finish a bit of work in 360 days. 18 men can finish the same work of piece in 72 days and 12 ladies can finish it in 162 days. In how long can 4 men, 12 ladies and 10 kids together finish the bit of work?

A - 68 days

B - 81 days

C - 96 days

D - 124 days

Answer : B

Explanation

9 children 1 day work = 1/360 ⇒1 child 1 day work = 1/3240
18 man 1 day work = 1/72 ⇒1 man 1 day work = 1/1296
12 women 1 day work = 1/162 ⇒1 women 1 day work = 1/1944
(4men +12 women +10 children) 1 day work = (4/1296+ 12/1944+10/3240)
= (1/324+1/162+1/324) = 4/324 = 1/81
Hence they can finish the work in 81 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

Answer : B

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 - 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:

A - 2:1

B - 3:1

C - 3:2

D - 5:4

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:

A - 1200

B - 1500

C - 1800

D - 2000

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, 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

Answer : B

Explanation

Ratio of wages of A,B,C=(6*5):(4*6):(9*4)=30:24:36=5:4:6. A share=Rs (1800*5/15) =Rs 600.

aptitude_time_work.htm
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