Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

Q11.
Two pipes A and B can fill a tank in 15 minutes and 40 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank ?
1) 12 min 15 sec 2) 15 min 30 sec
3) 20 min 10 sec 4) 25 min 20 sec
5)None of these
Answer : 25 min 20 sec
Explanation :
Given, the tank 



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Q12.
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge water P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes ?
1) 3/11 2) 4/11
3) 5/11 4) 6/11
5)None of these
Answer : 6/11
Explanation :
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Q13.
Pipes A and B running together can fill a cistern in 6 min. If B takes 5 min more than A to fill the cistern, then the times in which B will fill the cistern separately will be respectively.

1) 12 min 2) 15 min
3) 18 min 4) 20 min
5)None of these
Answer : 15 min
Explanation :
Let pipe A fills the cistern in x minutes.
Therefore, pipe B will fill the cistern in (x + 5) minutes.
1/x + 1/x+1 = 1/6
        or  x = 10
Hence pipe  B can fill the cistern in 10 +5 = 15 min.
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Q14.
A pipe can fill a cistern in 6 hours. Due to a leak in its bottom it is filled in 7 hours. When the cistern is full, in how much time will it be emptied by the leak ?
1) 40 hours 2) 42 hours
3) 43 hours 4) 45 hours
5)None of these
Answer : 42 hours
Explanation :
Resultant work done by both the pipes in one hour i.e. (1/6 + 1/7) = 1/42
 of cistern.
 The whole cistern will be emptied in 42 hours.
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Q15.
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in :

1) 81 min. 2) 108 min.
3) 108 min. 4) 192 min.
5)None of these
Answer : None of these
Explanation :
Let the slower pipe alone will fill the tank in x minutes.
Then faster pipe will fill it in x/3 minutes. then,1/x + 3/x = 1/36  or 4/x = 1/36 
or  x = 144 min. 
       So, the slower pipe can fill the tank in 144 min.

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