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 - 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

Answer : A

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

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 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

Answer : C

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

Answer : D

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 - A does half as much work as B in three ?fourth of the time. On the off chance that together they take 18 days to finish the work, the amount of time might B takes to do it?

A - 30 days

B - 35 days

C - 40 days

D - none of these

Answer : A

Explanation

Let the whole work be done by B in x days.
In 3/4 th of time, work done by A = 1/2
1/2 works is done by A in 3/4 x days.
Whole work is done by A in (2* 3x/4) days = 3x/2 days
∴1/x + 2/3x = 1/18 ⇒18+ 12= x ⇒ x= 30

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 - 6 men and 8 young men can do a bit of work in 10 days while 26 men and 48 young men complete it in 2 days. 15 men and 20 young men will complete it in

A - 4 days

B - 5 days

C - 6 days

D - 7 days

Answer : A

Explanation

Let 1 men's 1 day 's work be x and 1 boys  1 day work be y. then
6x+ 8y = 1/10 ... (1)
26x+ 48y= 1/2 ... (11)
Multiplying (1) by 6 and subtracting (11) from it, we get
10x = (6/10- 1/2) = 1/10 ⇒ x= 1/100
Putting x = 1/100 in (1), we get 6/100 +8 y = 1/10
∴ 8y = (1/10 ? 6/100) = 4/100 ⇒y = 4/ 8*100= 1/200
(15 men + 20 boys)'s 1day work = (15/100+ 20/200) = 50/200 = 1/4
∴ 15 men + 20 boys will finish the work in 4 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?

A - 6 days

B - 17/3 days

C - 8 days

D - 25/3 day

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 - A does 4/5th of a work in 20 days. He then assembles in B and they complete the remaining work in 3 days. To what extent B alone would take to do the entire work?

A - 23 days

B - 37 days

C - 75/2 days

D - 40 days

Answer : C

Explanation

4/5 work is done by A in 20 days.
Whole work is done by A in (20*5/4) days =25 days.
1/5th work is done by (A+B) in 3 days.
Whole work is done by (A+B) in (3*5) days=15 days.
B 1 days work= (1/15-1/25) =2/75.
B alone can finish the work in 75/2 days.

Q 10 - A man, a ladies and a kid can finish a vocation in 3 days, 4 days and 12 days individually. What number of young men must help 1 man and 1 lady to finish the occupation in 1/fourth of the day?

A - 10

B - 14

C - 19

D - 41

Answer : D

Explanation

1 man 1 days work =1/3,1 woman 1 days work=1/4,1 boy 1 day work=1/12.
1 man 1/4 day work= (1/3*1/4) =1/12, 1 woman 1/4 day work work= (1/4*1/4) =1/6.
1 boy 1/4 day work = (1/12*1/4) =1/48.
Let (1 man +1 woman + x boys) work=1⇒1/12+1/16+x/48=1⇒7+x=48⇒x=41.


aptitude_time_work.htm

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