10
Q:

P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together  ?

A) 5 (2/3) B) 6 (3/4 )
C) 4 (1/2) D) 3

Answer:   C) 4 (1/2)



Explanation:

Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total. 

 

Work done by P and Q, working together in one day = 1/6 + 1/18  = 4/18 = 2/9 

 

They would take 9/2 days = 4 (1/2) days to complete the work working together.

Q:

Amit and Sunil together can complete a work in 9 days, Sunil and Dinesh together can complete the same work in 12 days, and Amit and Dinesh together can complete the same work in 18 days. In how many days will they complete the work if Amit, Sunil and Dinesh work together?

 

A) 12 days B) 8 days
C) 14 days D) 16 days
 
Answer & Explanation Answer: B) 8 days

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2 667
Q:

X can complete a work in 27 days and Y can do the same work in half of the time taken by X. Working together what part of the same work can they complete in a day?

 

A) 1/9 B) 1/6
C) 1/12 D) 2/27
 
Answer & Explanation Answer: A) 1/9

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4 416
Q:

A, B and C can individually complete a task in 20 days, 16 days and 30 days, respectively. If A and B started working on the task, and they worked for 4 days and left, then the number of days required by C to finish the remaining task is:

 

A) 16.5 days B) 13 days
C) 10 days D) 12.5 days
 
Answer & Explanation Answer: A) 16.5 days

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4 413
Q:

A can do a piece of work in 6 days. B can do it in 9 days. With the assistance of C they completed the work in 3 days. In how many days can C alone do the work ?

 

A) 18 B) 8
C) 12 D) 16
 
Answer & Explanation Answer: A) 18

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4 422
Q:

X and Y can complete a work in 5 days. Y and Z can complete the same work in 6 days. Z and X can complete the same work in 15/2 days. In how many days will X, Y and Z together complete the work?

 

A) 2   B) 4  
C) 3   D) 2/5
 
Answer & Explanation Answer: B) 4  

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6 408
Q:

Ram and Shyam can complete a task in623 days and 15 days, respectively. They work together for 4 days, and then Ram leaves. In how many days after Ram leaves, will Shyam complete the remaining task alone?

 

A) 112days B) 3 days
C) 4 days D) 2 days
 
Answer & Explanation Answer: D) 2 days

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1 544
Q:

X and Y can do a piece of work in 10 days, Y and Z in 12 days and Z and X in 15 days. In how many days can Z alone do the work?

 

A) 40 B) 24
C) 18 D) 36
 
Answer & Explanation Answer: A) 40

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0 477
Q:

A and B can complete a piece of work together in 20 days. They start work together but A had to leave 5 days before the work finally got over. If B finishes the remaining in 18 days, then how long will A take to complete the work separately.

 

A) 100 days B) 120 days
C) 72 days D) 64 days
 
Answer & Explanation Answer: D) 64 days

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0 560