A Learning Portal from Recruitment India

5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio

A.

1:3

B.

1:2

C.

2:3

D.

2:1

Answer with explanation

Answer: Option DExplanation

Let 1 man 1 day work = x

1 boy 1 day work = y

then 5x + 2y = 4(x+y)

=> x = 2y

=> x/y = 2/1

=> x:y = 2:1

Workspace

3 men, 4 women, and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?

A.

5

B.

7

C.

9

D.

11

Answer with explanation

Answer: Option BExplanation

Let 1 woman’s 1 day work = x.

Then, 1 man’s 1 day work = x/2 and 1 child’s 1 day work x/4.

So, (3x/2 + 4x + + 6x/4) = 1/7

28x/4 = 1/7 => x = 1/49

1 woman alone can complete the work in 49 days.

So, to complete the work in 7 days, number of women required = 49/7 = 7.

Workspace

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days ?

A.

15 days

B.

13 days

C.

11 days

D.

9 days

Answer with explanation

Answer: Option BExplanation

Ratio of times taken by A and B = 100 : 130 = 10 : 13.

Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x => x = ( 23 x 13/10 ) => x = 299 /10.

A’s 1 day’s work = 1/23 ;

B’s 1 day’s work = 10/299 .

(A + B)’s 1 day’s work = ( 1/23 + 10/299 ) = 23/299 = 113 .

Therefore, A and B together can complete the work in 13 days.

Workspace

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

A.

6 days

B.

8 days

C.

10 days

D.

25 days

Answer with explanation

Answer: Option CExplanation

Workspace

A and B can do a piece of work in 40 days, B and C can do it in 120 days. If B alone can do it in 180 days, in how many days will A and C do it together?

A.

30 days

B.

15 days

C.

45 days

D.

18 days

Answer with explanation

Answer: Option CExplanation

A + B take 40 days. B alone takes 180 days.

∴ A will take 1/40 – 1/180 = 7/360 ⇒ 360/7 days.

B + C take 120 days. ∴ C alone will take 1/120 – 1/180 = 1/360

i.e. 360 days. ∴ A & C together will take 7/360 + 1/360

= 8/360 ⇒ 360/8 = 45 days to complete the work.

Workspace

To complete a work A and B takes 8 days, B and C takes 12 days, A,B and C takes 6 days. How much time A and C will take

A.

16 days

B.

8 days

C.

24 days

D.

12 days

Answer with explanation

Answer: Option BExplanation

A+B 1 day work = 1/8

B+C 1 day work = 1/12

A+B+C 1 day work = 1/6

We can get A work by (A+B+C)-(B+C)

And C by (A+B+C)-(A+B)

So A 1 day work =

So A and C can together do this work in 8 days

Workspace

A can complete a piece of work in 12 days while B can the same work in 18 days. If they both work together, then how many days will be required to finish the work?

A.

9.5 days

B.

12 days

C.

6 days

D.

7.2 days

Answer with explanation

Answer: Option DExplanation

Workspace

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

A.

Rs. 800

B.

Rs. 600

C.

Rs. 400

D.

Rs. 375

Answer with explanation

Answer: Option CExplanation

Workspace

A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?

A.

30 days

B.

17 1/2 days

C.

24 days

D.

44 days

Answer with explanation

Answer: Option CExplanation

10/40 + 10/30 + 10/x = 1

x = 24 days

Workspace

When A, B, and C are deployed for a task, A and B together do 70% of the work and B and C together do 50% of the work. who is most efficient?

A.

A

B.

B

C.

C

D.

None of these

Answer with explanation

Answer: Option AExplanation

A + B= 70%

B + C =50%

[∵ (A+B)+(B+C)−(A+B+C)= B]

=> B= 20% A= 50% and C=30%

Hence A is most efficient

Workspace

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

A.

30 days

B.

15 days

C.

10 days

D.

25 days

Answer with explanation

Answer: Option DExplanation

Workspace

Ajay and Vijay undertake to do a piece of work for Rs. 480. Ajay alone can do it in 75 days while Vijay alone can do it in 40 days. With the help of Pradeep, they finish the work in 25 days. How much should Pradeep get for his work?

A.

Rs. 100

B.

Rs. 80

C.

Rs. 40

D.

Rs. 20

Answer with explanation

Answer: Option DExplanation

In 24 days, they would have done 1/3 and 5/8 of the work.

The remaining work is 1 – (1/3 + 5/8) = 1/24.

This means Pradeep has done 1/24th of the work, so he should be paid 1/24th of the amount i.e. 480 × 1/24 = Rs. 20 is the answer.

Workspace

A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ?

A.

7 days

B.

8 days

C.

6 days

D.

5 days

Answer with explanation

Answer: Option CExplanation

Firstly we will find 1 day work of both A and B, then by adding we can get collective days for them,

So,

A’s 1 day work = 1/10

B’s 1 day work = 1/15

(A+B)’s 1 day work =

So together they can complete work in 6 days.

Workspace

Correct Answer 👍

Wrong Answer 👎