23
Q:

Four pipes P,Q, R and S can fill a cistern in 20,25, 40 and 50 hours respectively.The first pipe P was opened at 6:00 am, Q at 8:00 am, R at 9:00 am and S at 10:00 am. when will the Cistern be full?

A) 4:18 pm B) 3:09 pm
C) 12:15 pm D) 11:09 am

Answer:   B) 3:09 pm



Explanation:

Efficiency of P= 100/20= 5% per hour  

Efficiency of Q= 100/25= 4% per hour  

Efficiency of R= 100/40= 2.5% per hour  

Efficiency of S=100/50= 2% per hour 

 

Cistern filled till 10 am by P, Q and R  

Till 10.00am Pipe P filled 20%Till 10.00am Pipe Q filled 8%Till 10.00am Pipe R filled 2.5%30.5%  

Thus, at 10 am pipe P,Q and R filled 30.5% of the cistern. 

Rest of cistern to be filled = 100 - 30.5 = 69.5%  

 

Now, the time taken by P,Q,R and S together to fill the remaining capacity of the cistern 

= 69.5 / (5+4+2.5+2) = 5 Hours and 9 minutes(approx).

Therefore, total time =4 hrs + 5hrs 9 mins = 9 hrs and 9 mins

 

It means cistern will be filled up at 3:09 pm

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

Explanation:
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4 378
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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0 323
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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1 416
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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1 945
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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2 455
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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3 684
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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1 808
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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6 982