Skip to content
Book Free Demo

Mixture & Alligation Practice Questions with Detailed Solutions – Level 3

Hard mixture and alligation problems on repeated replacement, alloy melting, tea, rice and coffee blends sold at a profit, and evaporation of solutions, each with a step-by-step solution.

Start Test

Choose Normal practice or a Simulated test.

Questions, answer key and solutions.

Questions
50
Duration
75 min
Marks
50

Negative marking

Attempts
100
Access
Free
Share test:

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 75-minute clock, a question palette and full screen, and your score, the key and the solutions arrive when you submit.

Open Normal practiceTake the Simulated test
How the two modes differ
No account needed

Normal

Untimed

Every question on one page, loading as you scroll. Choose an option and see straight away whether it was right.

  • No timer. Nothing to start and nothing to submit. Stop whenever you like.
  • Answered as you choose. Tap an option and it is marked at once, with the correct answer shown.
  • Solutions in place. The explanation, and the video where one has been added, sit under the question.
  • Open to guests. Normal practice needs no sign-in.
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. 75 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

Mixture and Alligation Level 3 Practice Quiz: Replacement, Alloys and Profit

This Level 3 Mixture and Alligation practice quiz on Aptitude360 checks whether you can solve the harder arithmetic problems on repeated replacement, alloy mixing and mixtures sold at a profit. It builds fluency with the alligation rule across milk, spirit, salt and acid solutions. Every question comes with a worked solution, so you can compare your method step by step.

Topics covered in this Mixture and Alligation set

  • Repeated drawing out and replacing with water, including finding the quantity drawn or the vessel's capacity from the final ratio
  • Combining several jars or cans that hold milk and water in different ratios
  • Mixing two alloys, sometimes with added pure metal, to reach a target ratio of gold, silver, copper, zinc or nickel
  • Adding water to pure milk and selling the mixture at a profit
  • Mixing grades of tea, rice or coffee to earn a stated profit on the blend
  • Changing the strength of salt, sugar, acid or alcohol solutions by adding solute, adding another solution or evaporating water

Key mixture and alligation formulas

  • Alligation rule (cheaper : dearer): \( \dfrac{q_{1}}{q_{2}}=\dfrac{c_{2}-m}{m-c_{1}} \)
  • Mean price of a mixture: \( m=\dfrac{q_{1}c_{1}+q_{2}c_{2}}{q_{1}+q_{2}} \)
  • Pure liquid left after \( n \) replacements: \( x\left(1-\dfrac{y}{x}\right)^{n} \)
  • Cost price of the mixture from SP and gain: \( CP=\dfrac{SP\times 100}{100+g} \)

Revision tips for hard mixture problems

  • Convert the selling price into the cost price of the mixture before applying alligation
  • In replacement questions, track only the pure component, because the drawn-out portion always carries the current ratio
  • For alloys, work with the fraction of one metal in each alloy rather than the raw ratios
  • In evaporation questions, the amount of dissolved solute stays the same; only the water changes

Who should practise this level

Arithmetic aspirants who are comfortable with the basic alligation rule and want tougher, multi-step mixture problems to test their accuracy.

FAQs about Mixture & Alligation Practice Questions with Detailed Solutions – Level 3

What is the rule of alligation?
The rule of alligation gives the ratio in which two ingredients at different prices or concentrations must be mixed to get a mixture at a given mean value. The quantity of the cheaper item compares with the dearer item as the dearer value minus the mean is to the mean minus the cheaper value.
What is the replacement formula in mixture and alligation?
If y litres are drawn from a vessel holding x litres of pure liquid and replaced with water, and this is done n times, the pure liquid left equals x multiplied by one minus y over x, raised to the power n.
What is the difference between mixture and alligation?
A mixture question combines known quantities to find the resulting price or concentration. Alligation works the other way, finding the ratio in which ingredients must be mixed to reach a target mean.
How to solve mixture alligation questions quickly?
Write the two values and the target mean, then take the cross differences to get the mixing ratio directly. For profit-based questions, first find the cost price of the mixture from the selling price and the gain.

Test structure

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

SectionQuestionsTime
Mixture & Alligation Level 35075 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.

Recommended courses for CAT & OMET

All CAT & OMET courses
Chat with an academic counsellor on WhatsApp