| 9. | A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank? |
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Answer: Option C Explanation: Suppose pipe A alone takes x hours to fill the tank.
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| 10. | Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is: |
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Answer: Option C Explanation:
Volume of whole = (3 x 40) gallons = 120 gallons. |
| 11. | 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 the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is: |
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Answer: Option C Explanation: Suppose, first pipe alone takes x hours to fill the tank . Then, second and third pipes will take (x -5) and (x - 9) hours respectively to fill the tank.
(x - 15)(x - 3) = 0
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| 12. | Two pipes A and B can fill a cistern in 37 |
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Answer: Option B Explanation: Let B be turned off after x minutes. Then, Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1.
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| 13. | A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 |
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Answer: Option D Explanation:
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| 14. | Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in: |
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Answer: Option C Explanation:
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| 15. | 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 chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes? |
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Answer: Option B Explanation:
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