Alligation & Mixture is a uniquely strategic topic in Arithmetic for CAT 2026, known for its application across pricing, concentration, and ratio-based problems in CAT Quant. Practice curated CAT arithmetic important questions built around the alligation rule, mixture replacement, and multi-component blending problems aligned with recent CAT exam patterns. These questions improve both speed and accuracy in solving non-trivial Quant problems.
Q51. There is a vessel whose 80% volume is filled with milk and water solution. The concentration of milk in the solution is 90%. Using a steel mug, one mug-full of solution is withdrawn and replaced by an equal quantity of water. After 3 such replacements, the concentration of milk in the solution becomes 30.87%. What is the ratio of volumes of the vessel and the steel mug?
Q52. A man buys 2 varieties of rice, the first at Rs. 65 per kilo and the second at Rs. 72 per kilo. After thoroughly mixing them, he sells the mixture for Rs. 84 per kilo making a 20% profit. If he sold 21 kilos of this mixture, how many kilos of the first variety of rice must he have bought?
Q53. A drum contains 100 litres of pure acid. 10 litres of acid is taken out and is replaced with water. This operation is conducted total ‘n’ times. What is the minimum value of ‘n’ if the concentration of the acid-water mixture drops to less than 60%?
Q54. A vessel contains one litre of Alcohol. Ramesh took out 100 ml of the content of the vessel and poured 100 ml of water in the vessel. He repeated this process two more times (i.e. he did this operation total three times). What is the volume of the Alcohol present in the mixture in the vessel now (in ml)?
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