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Aptitude · Q25

Pipes And Cistern

Competitive Exams · Aptitude · question 25

Q25

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 in 10 hours. Which of the following arrangements will fill the empty cistern in less time than others?

A.
Q alone is open
B.
P, R and S are open
C.
P and S are open
D.
P, Q and S are open
Answer

Answer: Option D

Solution

Answer: Option D
Solution:

In order to fill the cistern in less time.
So, efficiency of filling should be more
now, check all options
(A) → Q efficiency 15 units/hr
(B) → (P + R - S) efficiency
          = 30 + 10 - 12 = 28 units/hr
(C) → (P - S) efficiency
          = 30 - 12 = 18 units/hr
(D) → (P + Q - S) efficiency
          = 30 + 15 - 12 = 33 units/hr
Option (D) is answer
Since efficiency of option (D) is highest