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Pipes and Cisterns Practice Questions with Detailed Solutions – Level 2

Medium-level pipes and cisterns problems on leaks that slow filling, pipes opened alternately, inlets working with outlets and pipes closed partway, with efficiency ratios and tank capacity.

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Questions, answer key and solutions.

Questions
50
Duration
60 min
Marks
50

Negative marking

Attempts
100
Access
Free

Normal practice, or a Simulated test

Both use the same questions. Normal practice is untimed and needs no account: choose an option and the answer and solution appear at once. The Simulated test is the real computer-based format, with one 60-minute clock, a question palette and full screen, and your score, the key and the solutions arrive when you submit.

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  • Solutions in place. The explanation, and the video where one has been added, sit under the question.
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Real exam conditions

Simulated

Timed CBT

The computer-based test format: one clock, a question palette, and a score the moment you submit.

  • A clock that does not pause. 60 minutes from the moment you begin, and the paper is submitted for you when it reaches zero.
  • Question palette. Answered, not answered and marked for review, section by section, as the real interface has it.
  • Full screen, proctored. The test takes over the screen; leaving it three times submits the paper.
  • Answers hidden until you submit. The key, the explanations and your score all arrive together at the end.

About this test

Pipes and Cisterns Level 2 Practice Quiz: Leaks, Outlets and Alternate Pipes

Pipes and Cisterns Level 2 is a medium-difficulty practice quiz on tank-filling problems that go beyond basic filling times. It covers leaks that slow filling, pipes opened alternately, inlets working against outlets and pipes closed partway. Aptitude360 includes a worked solution for every question.

What this Pipes and Cisterns Level 2 set tests

  • Finding how long a leak alone takes to empty a tank from the delayed filling time
  • Pipes opened alternately in equal turns, including a filling pipe alternating with an emptying pipe
  • Inlets and outlets opened together on an empty or partly filled tank
  • A pipe closed after some time and the time left to finish filling
  • Efficiency ratios and pipes that are a stated number of times faster than others
  • Tank capacity in litres from given flow rates

Key pipes and cisterns formulas for Level 2

  • Two inlets together: \( \dfrac{1}{T}=\dfrac{1}{a}+\dfrac{1}{b} \)
  • Inlet a, outlet b, \( a\lt b \): \( T=\dfrac{ab}{b-a} \)
  • Leak time when filling rises from a to b: \( \dfrac{ab}{b-a} \)
  • Time and efficiency: \( \dfrac{T_{A}}{T_{B}}=\dfrac{E_{B}}{E_{A}} \)
  • Work done: \( W=R\times T \)

Preparation tips for medium pipes and cisterns problems

  • Take the tank capacity as the LCM of the given times so that each pipe's rate becomes a whole number of units.
  • Treat an outlet or a leak as work taken away and subtract its rate from the combined inlet rate.
  • In alternate-pipe problems, check whether the tank fills partway through a cycle before counting full cycles.
  • When a tank starts partly full, work only with the portion still to be filled or emptied.

Who this practice quiz is for

It suits learners who have finished basic pipes and cisterns problems and want middle-stage practice before moving to hard, multi-step ones.

FAQs about Pipes and Cisterns Practice Questions with Detailed Solutions – Level 2

What is the formula for pipes and cisterns?
The part of the tank a pipe fills in one unit of time is the reciprocal of the time it takes to fill the whole tank. Add the rates of inlets and subtract the rates of outlets to get the net rate.
How to solve pipes and cisterns problems quickly?
Take the tank capacity as the LCM of all the given times and find each pipe's rate in units. Inlets add units and outlets remove units, so the time is the capacity divided by the net rate.
How do you find the time taken by a leak to empty a tank?
Multiply the normal filling time by the delayed filling time and divide by their difference. The result is the time the leak alone takes to empty the full tank.
How to solve pipes opened alternately problems?
Find the work done in one complete cycle of turns and see how many full cycles fit before the tank is nearly full. Then check which pipe finishes the remaining part, as the tank may fill before a cycle ends.

Test structure

How the paper is split, and how long each part runs. A section you have finished cannot be returned to.

SectionQuestionsTime
Pipes and Cisterns Level 25060 min

Marking & rules

Total marks
50 across 50 questions.
Negative marking
A wrong answer costs marks. Leaving a question unanswered costs nothing.
Attempts
100 in total. An attempt is spent the moment you begin one.

What you get when you submit

The analysis is ready the moment you submit the paper.

Score and accuracy

Marks, percentage, right, wrong and skipped, and the time you took.

Section by section

The same figures for each section, so a weak one cannot hide in an average.

The full answer key

Every question with your answer, the right one, the working, and the video where there is one.

Where you stand

Your score against the spread of everyone else who has sat this test.

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