Q1. A pipe can fill a tank in 10 hours, while a leak can empty the full tank in 15 hours. If both are open, how long will it take to fill the tank?
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Answer: C. 30 hours
Net filled per hour = 1/10 − 1/15 = 5/150. Time = 150/5 = 30 hours.
Pipes and Cisterns Questions for SSC CGL (with Answers)
7 Pipes and Cisterns MCQs from the Quantitative Aptitude section, with answers and short explanations.
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Q2. A pipe can fill a tank in 10 hours, while a leak can empty the full tank in 40 hours. If both are open, how long will it take to fill the tank?
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Answer: C. 13 1/3 hours
Net filled per hour = 1/10 − 1/40 = 30/400. Time = 400/30 = 13 1/3 hours.
Q3. A pipe can fill a tank in 36 hours, while a leak can empty the full tank in 45 hours. If both are open, how long will it take to fill the tank?
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Answer: A. 180 hours
Net filled per hour = 1/36 − 1/45 = 9/1620. Time = 1620/9 = 180 hours.
Q4. A pipe can fill a tank in 24 hours, while a leak can empty the full tank in 48 hours. If both are open, how long will it take to fill the tank?
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Answer: A. 48 hours
Net filled per hour = 1/24 − 1/48 = 24/1152. Time = 1152/24 = 48 hours.
Q5. A pipe can fill a tank in 15 hours, while a leak can empty the full tank in 30 hours. If both are open, how long will it take to fill the tank?
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Answer: D. 30 hours
Net filled per hour = 1/15 − 1/30 = 15/450. Time = 450/15 = 30 hours.
Q6. A pipe can fill a tank in 20 hours, while a leak can empty the full tank in 60 hours. If both are open, how long will it take to fill the tank?
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Answer: B. 30 hours
Net filled per hour = 1/20 − 1/60 = 40/1200. Time = 1200/40 = 30 hours.
Q7. A pipe can fill a tank in 4 hours, while a leak can empty the full tank in 12 hours. If both are open, how long will it take to fill the tank?
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Answer: C. 6 hours
Net filled per hour = 1/4 − 1/12 = 8/48. Time = 48/8 = 6 hours.
More Quantitative Aptitude topics
- Speed, Time and Distance 69
- Percentage 58
- Average 56
- Profit and Loss 49
- Number System 47
- Mensuration 46
- Simple Interest 43
- Time and Work 41
- LCM and HCF 39
- Ratio and Proportion 38
- Problems on Ages 38
- Compound Interest 36
- Algebra 33
- Simplification 32
- Geometry 29
- Discount 24
- Partnership 17
- Boats and Streams 16
- Mixture and Alligation 13
- Indices and Surds 10
- Trigonometry 10
- Statistics 9