FPSC · Other · N/A
Solved pipes and cisterns MCQs — 16 questions on combined filling rates, waste pipes and leaks, pipes opened on alternate hours, tank capacity from a waste rate, and bucket and drum rates, with verified answers and explanations. Free online practice for FPSC, PPSC, NTS and all one-paper exams. Covers work-rate problems.
Paper Snapshot
Questions
16
Time
16
Minutes
Subjects
1
Topics
15
Read mode shows correct answers. Attempt mode hides answers, starts timer, and shows your result after submission.
About this paper
This is the Arithmetic: Pipes and Cisterns solved MCQ bank from Advanced FPSC & Other Federal Model Papers (Edition 32): 16 published questions (book pp. 754-756, of 19 printed) on combined filling rates, waste pipes and leaks, pipes opened on alternate hours with one tap always open, tank capacity worked out from a waste-pipe rate, and bucket and drum filling rates, each with a worked explanation and a verified answer.
Paper Controls
Subject 1
Topic Section
2 solved MCQs shown directly below
Correct Answer: 20 hours
Together the pipes fill 1/36 + 1/45 = 1/20 of the tank an hour, so the tank fills in 20 hours.
Correct Answer: 12 min
Together the pipes fill 1/20 + 1/30 = 1/12 of the tank a minute, so the tank fills in 12 minutes.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 10 minutes
The taps fill 1/12 + 1/15 = 3/20 a minute and the net rate is 1/20, so the waste pipe empties 1/10 a minute and takes 10 minutes.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 21 hours
The leak removes 1/3 - 1/3.5 = 1/21 of the tank an hour, so it empties the full tank in 21 hours.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 7.2 hours
The net rate is 1/4 - 1/9 = 5/36 an hour, so the cistern fills in 36/5 = 7.2 hours.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 3 hours 45 minutes
One tap fills half the tank in 3 hours, and four taps fill the remaining half in 45 minutes, giving 3 hours 45 minutes in total.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 3
Together the pipes fill 1/5 + 1/10 + 1/30 = 1/3 of the tank an hour, so the tank fills in 3 hours.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 3 9/17 hours
The net rate is 1/5 + 1/6 - 1/12 = 17/60 an hour, so the tank fills in 60/17 = 3 9/17 hours.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 36 hours
Without the leak the taps fill in 4 hours; with the leak in 4.5 hours, so the leak removes 1/4 - 1/4.5 = 1/36 an hour and empties the tank in 36 hours.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 18
The tank holds 12 x 13.5 = 162 liters, which is 162/9 = 18 buckets of 9 liters.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 45
The drum holds 60 P-turns, and one joint turn carries P + Q = 4 Q-units against P's 3, so 180/4 = 45 joint turns fill it.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 12 hours
In 10 hours the net rate 1/15 + 1/20 - 1/25 fills 23/30 of the tank, and the remaining 7/30 fills in 2 more hours at 1/15 + 1/20, giving 12 hours in total.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 5
Each 2-hour cycle fills 1/6 + 1/4 = 5/12, so after 4 hours 10/12 is filled and A's next hour adds the remaining 1/6, giving 5 hours.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 7 hours
Each 2-hour cycle (A+B, then A+C) fills 17/60 of the tank, so after 6 hours 51/60 is filled and the next A+B hour adds exactly 9/60, giving 7 hours.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 120 gallons
The waste pipe removes 1/20 + 1/24 - 1/15 = 1/40 of the tank a minute, so at 3 gallons a minute the tank holds 3 x 40 = 120 gallons.
Topic Section
1 solved MCQs shown directly below
Correct Answer: 9 minutes
A alone fills 30/37.5 = 4/5 of the cistern in 30 minutes, so B must supply the remaining 1/5, which takes 45/5 = 9 minutes.
Source & verification
Built by GK360 from verified bank questions — every answer rechecked before publishing.
Questions
16 questions published of 19 printed in the book. Three items are dropped, never guessed, because their correct value is not among the printed options: the waste-pipe time (100 minutes), the slower-pipe time (144 minutes) and the tanker-emptying time (about 6 minutes), each zoom-verified against the scan.
Combined filling rates of two and three pipes, waste pipes and leaks that slow filling, a tap emptied while another fills, extra taps opened halfway, pipes opened on alternate hours, tank capacity from a waste-pipe gallon rate, one pipe turned off partway, and bucket capacity and joint bucket turns.
Yes. Every published answer was solved from scratch and checked against the book's printed Answer Key (p. 756). Two key letters are corrected to the verified standard answer and recorded: Q3, where the leak empties the tank in 21 hours, not 24, and Q17, where the tank fills in 7 hours, not 5.
It is drawn from an FPSC model-paper book, but pipes and cisterns rate problems appear in the same form in PPSC, NTS, PTS, CSS MPT and all Pakistan one-paper exams, so it serves aspirants of every body.
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