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Three pipes P, Q and R can separately fill a cistern in 4,8 and 12 hours respectively. Another pipe S can empty the completely filled cistern in10 hours. Which of the following arrangements will fill the empty cistern in less time than others ?
  • a)
    P, Q and S are open.
  • b)
    Q alone is open.
  • c)
    P and S are open.
  • d)
    P, R and S are open.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Three pipes P, Q and R can separately fill a cistern in 4,8 and 12 hou...
Using Rule 2 and 7,
Part of the cistern filled in 1 hour
when pipes P and S are open

Hence, the cistern will be filled in 20/3 hours ≈ 6.6 hours
Part of the cistern filled in 1 hour
when pipes P, R and S are open

Hence, the cistern will be filled in 30/7 hours ≈ 4.3 hours
Part of the cistern filled in I hour
when pipes P, Q and S are open

Hence, the cistern will be filled in 40/11 hours ≈ 3.6 hours
Cistern can be filled faster when P, Q & S are open
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Three pipes P, Q and R can separately fill a cistern in 4,8 and 12 hours respectively. Another pipe S can empty the completely filled cistern in10 hours. Which of the following arrangements will fill the empty cistern in less time than others ?a)P, Q and S are open.b)Q alone is open.c)P and S are open.d)P, R and S are open.Correct answer is option 'A'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Three pipes P, Q and R can separately fill a cistern in 4,8 and 12 hours respectively. Another pipe S can empty the completely filled cistern in10 hours. Which of the following arrangements will fill the empty cistern in less time than others ?a)P, Q and S are open.b)Q alone is open.c)P and S are open.d)P, R and S are open.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes P, Q and R can separately fill a cistern in 4,8 and 12 hours respectively. Another pipe S can empty the completely filled cistern in10 hours. Which of the following arrangements will fill the empty cistern in less time than others ?a)P, Q and S are open.b)Q alone is open.c)P and S are open.d)P, R and S are open.Correct answer is option 'A'. Can you explain this answer?.
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