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IPMAT Mixtures and Alligations Questions 2026
IPMAT Mixtures and Alligations questions are an important part of the IPMAT Quant section. These questions test how well you understand the basic concepts of mixtures, ratios, replacement, and alligation. In the exam, you may get questions based on mixing two items with different costs, finding the mean price, comparing quantities, or solving word problems using alligation.
The good thing is that these questions become much easier once your basics are clear and you know which method to use. You do not need very advanced math. You just need a clear understanding of ratios, averages, and replacement concepts, along with regular practice and careful calculation.
In this blog, you will find a simple formula PDF, a set of practice questions with answers, and some extra questions to solve on your own. You will also learn about common mistakes students make and a few easy tips to save time in the exam.
Important Formulas for IPMAT Mixtures and Alligations Questions
You only need a few basic formulas to solve most mixtures and alligations questions in IPMAT. These formulas help you find the ratio of mixing, average value, and final concentration quickly.
You can download the full formula PDF from the link above. Here is a quick look at some of the main ones:
Concept | Formula |
Mean Price | Total Cost / Total Quantity |
Rule of Alligation | Ratio of quantities = (Higher Price - Mean Price) : (Mean Price - Lower Price) |
Average of two quantities | (Total value of both) / (Total quantity) |
Replacement Formula | Final quantity = Initial quantity × (1 - Quantity removed / Total quantity)^n |
Ratio in alligation | Difference between prices or concentrations in cross form |
These formulas are useful for solving questions on mean price, ratio of mixing, replacement of liquid, and application-based problems that often appear in IPMAT.
Top 5 Common Mistakes to Avoid in IPMAT Mixtures and Alligations Questions
Forgetting the alligation rule:
Make sure you remember the basic alligation method and how to write the ratio correctly.
Using the ratio in the wrong order:
Many students write the ratio incorrectly. Always subtract in cross order and place the values carefully.
Confusing mean price with total price:
The mean price is the average cost per unit, not the total amount spent.
Making mistakes in replacement questions:
In replacement-based problems, students often forget to apply the formula repeatedly for multiple operations.
Calculation errors:
Even when the method is correct, small mistakes in multiplication, subtraction, or simplification can lead to the wrong answer. Solve step by step.
List of IPMAT Mixtures and Alligations Questions
Here’s a short set of IPMAT-style mixtures and alligations questions to help you practice. These include all common types of questions based on mean price, ratio of mixing, replacement of liquids, and concentration.Practice these regularly to become faster and more confident before your IPMAT exam.
Question 1
In a bowl containing 60 ml orange juice, 40 ml of water is poured. Thereafter, 100 ml of apple juice is poured to make a fruit punch. Madhu drinks 50 ml of this fruit punch and comments that the proportion of orange juice needs to be higher for better taste. How much orange juice should be poured into the fruit punch that remained, in order to bring up the level of orange juice to 50 percentage?
correct answer:- 4
Question 2
An alloy P has copper and zinc in the proportion of 5:2 (by weight), while another alloy Q has the same metals in the proportion of 3:4 (by weight). If these two alloys are mixed in the proportion of a:b (by weight), a new alloy R is formed, which has equal contents of copper and zinc. Then, the proportion of copper and zinc in the alloy S, formed by mixing the two alloys P and Q in the proportion of b:a (by weight), is
correct answer:- 3
Question 3
Fifty litres of a mixture of milk and water contains 30% water. This mixture is added to eighty litres of another mixture of milk and water that contains 20% water. Then, how many litres of water should be added to the resulting mixture to obtain a final mixture that contains 25% water?
correct answer:- 2
