Class 12 CBSE Applied Maths Number Quantification & Numerical Applications Exercise 1.6
Class 12 CBSE Applied Maths aims to develop an understanding of basic
mathematical and statistical tools and their
applications in the field of commerce (business/ finance/economics) and social
sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and
Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index
Numbers and Time-based data , Financial Mathematics , Linear Programming.
Please Select
Q1. Two pipes A and B can fill the tank in 24 minutes and 36 minutes respectively. If both the pipes are opened together, then find the time in which the tank will be filled completely.
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Q2. A pipe can fill a tank in 20 minutes and another pipe can empty the same tank in 60 minutes. If both the pipes are opened together, then find how much time will they take to fill the tank?
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Q3. A pipe can fill a tank in 40 minutes. Due to a leakage in the bottom it took 60 minutes to fill the tank. How much time will it take for the leakage to empty the full tank?
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Q4. A pump can fill a tank with water in 2 hours. Because of a leakage it took 21/3 hours to fill the tank. How much time will it take for the leakage to drain all the water of the full tank?
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Q5. Two pipes A and B running together can fill a tank in 6 minutes. If pipe A takes 5 minutes less than B to fill the tank, find the time taken by pipe B to fill the tank alone.
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Q6. Pipe A can fill the tank 3 times faster than pipe B. If both pipes A and B can fill the tank in 36 minutes running together, find how much time will pipe A take to fill the tank alone?
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Q7. Two pipes A and B can fill a cistern in 32 minutes and 48 minutes respectively. Both the pipes are opened together for some time and then pipe B is turned off. Find when pipe B must be turned off so that the cistern gets filled in 24 minutes?
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Q8. Two pipes A and B can fill a tank in 20 hours and 16 hours respectively. Pipe B alone is kept open for 1/4th of time and both pipes are kept open for the remaining time. Find the time required to fill the tank.
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Q9. Two pipes A and B can fill a tank in 1/2 hour and 1 hour respectively. A pipe C can empty the tank in 2 hours. If all three pipes are opened simultaneously, how long does it take to fill the empty tank?
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Q10. Two pipes A and B can fill a tank in 20 minutes and 60 minutes respectively. There is an outlet pipe C at the bottom of the tank. If all the three pipes are opened together it took 40 minutes to fill the tank. Find the time taken by outlet C to empty the full tank working alone
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Q11. Three pipes A, B and C can fill a tank in 72 minutes. If all the three pipes remain opened for 36 minutes and then pipe C is closed it took 1 hour more to fill the tank by pipes A and B. Find the time required to fill the tank by pipe C alone.
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Q12. Two pipes P and Q can fill a tank in 60 minutes and 30 minutes respectively. Third pipe R drains 5 litres of water per minute. If all the three pipes are opened it took 2 hours to fill the tank. Find the capacity of the tank.
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Q13. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe.
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Q14. Three pipes A, B and C can fill a tank in 5 hours working simultaneously. The pipe C is twice as faster B and B is twice as fast as A. How much time will pipe A alone take to full the tank?
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Q15. Two taps A and B can fill a tank in 4 and 6 hours respectively. The pipes are opened simultaneously and it takes 6 minutes more to fill the tank due to leakage. If the tank is full, then find the time taken by the leakage to empty the tank.
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Q16. A tank can be filled by two inlet pipes P and Q in 15 minutes and 20 minutes respectively.Another pipe R can empty the full tank in 24 minutes.If outlet pipe R is opened 6 minutes after the pipes P and Q are opened, find the total time to fill the tank.
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Q17. Three pipes A, B and C can fill a tank together in 2 hours. Pipes B and C take 3 hours to fill the tank, while pipes A and C take 4 hours to fill the tank. Find the time taken by each pipe to fill the tank alone.
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