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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
1:3
1:2
2:3
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
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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?
5
7
9
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.
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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 ?
15 days
13 days
11 days
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.
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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?
6 days
8 days
10 days
25 days
Answer with explanation
Answer: Option CExplanation
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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?
30 days
15 days
45 days
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.
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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
16 days
8 days
24 days
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?
9.5 days
12 days
6 days
7.2 days
Answer with explanation
Answer: Option DExplanation
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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?
Rs. 800
Rs. 600
Rs. 400
Rs. 375
Answer with explanation
Answer: Option CExplanation
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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?
30 days
17 1/2 days
24 days
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
B
C
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:
30 days
15 days
10 days
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?
Rs. 100
Rs. 80
Rs. 40
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 ?
7 days
8 days
6 days
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 =
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