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Q:

A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ?

A) 3 B) 6
C) 9 D) 12

Answer:   C) 9



Explanation:

The mother completes the job in x hours.
So, the daughter will take 2x hours to complete the same job.

 

In an hour, the mother will complete 1/x of the total job.
In an hour, the daughter will complete 1/2x of the total job.

 

So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.
i.e., in an hour they will complete 3/2x of the job.

 

The question states that they complete the entire task in 6 hours if they work together.
i.e., they complete 1/6 th of the task in an hour.

 

Equating the two information, we get 3/2x = 1/6
By solving for x, we get 2x = 18 or x = 9.

 

The mother takes 9 hours to complete the job.

Q:

A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for ₹35000. The share of A (in ₹) in the contracted money will be:

 

A) 7000 B) 21000
C) 14000 D) 15000
 
Answer & Explanation Answer: C) 14000

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3 203
Q:

A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for ₹35000. The share of B (in ₹) in the contracted money will be:

 

A) ₹15000 B) ₹14000
C) ₹21000 D) ₹7000
 
Answer & Explanation Answer: C) ₹21000

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0 203
Q:

A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for ₹75000. The share of B (in ₹) in the contracted money will be:

 

A) 45,000 B) 30,000
C) 35,000 D) 40,000
 
Answer & Explanation Answer: A) 45,000

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1 333
Q:

If 16 men working 12 hours a day can complete a work in 27 days, then working for how many hours a day can 18 men complete the work in 24 days ?

 

A) 9 B) 18
C) 16 D) 12
 
Answer & Explanation Answer: D) 12

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1 739
Q:

If 40 men working 12 hours a day can complete a work in 8 days, then how many men working 4 hours a day can complete the same work in 16 days?

 

A) 50 B) 60
C) 54 D) 45
 
Answer & Explanation Answer: B) 60

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2 386
Q:

A can complete a piece of work in 20 days and B can complete 20% of the work in 6 days. If they work together in how many dayscan they finish 50% of the work, if they work together

 

A) 12 B) 6
C) 8 D) 9
 
Answer & Explanation Answer: B) 6

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3 601
Q:

Shyam can complete a task in 12 days by working 10 hours a day. How many hours a day should he work to complete the task in 8 days?

 

A) 12 B) 15
C) 16 D) 14
 
Answer & Explanation Answer: B) 15

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1 737
Q:

5 men and 8 women can complete a task in 34 days, whereas 4 men and 18 women can complete the same task in 28 days. In how many days can the same task be completed by 3 men and 5 women?

 

A) 56 B) 72
C) 64 D) 36
 
Answer & Explanation Answer: A) 56

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5 865