Alligation & Mixture Questions for the CAT are part of the Quantitative Aptitude Through Alligation & Mixture questions, aspirants are tested with concepts of ratio and proportion. The difficulty level of these questions is easy to moderate.
What are some CAT-level Alligation & Mixture Practice Questions?
Q 1. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 per kg ?
(a) 3 : 7
(b) 5 : 7
(c) 7 : 3
(d) 7 : 5
Answer: C
Q 2. Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
(a) 1 : 3
(b) 2 : 3
(c) 3 : 4
(d) 4 : 5
Answer: B
Q 3. In what ratio must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg?
(a) 3 : 1
(b) 3 : 2
(c) 4 : 3
(d) 5 : 3
Answer: A
Q 4. In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth Rs. 8 per litre?
(a) 1 : 2
(b) 2 : 1
(c) 2 : 3
(d) 3 : 2
Answer: A
What are the must-do Alligation & Mixture questions for the CAT exam?
Q 5. The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is
(a) Rs. 18
(b) Rs. 18.50
(c) Rs. 19
(d) Rs. 19.50
Answer: A
Q 6. In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
(a) 3 : 2
(b) 3 : 4
(c) 3 : 5
(d) 4 : 5
Answer: A
Q 7. How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
(a) 36 kg
(b) 42 kg
(c) 54 kg
(d) 63 kg
Answer: D
Q 8. In what ratio must water be mixed with milk to gain 216% 3 on selling the mixture at cost price?
(a) 1: 6
(b) 6: 1
(c) 2 : 3
(d) 4 : 3
Answer: A
What were the previous year's CAT Alligation & Mixture questions?
Q 9. A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is
(a) 4%
(b) 16%
(c) 20%
(d) 25%
Answer: C
Q 10. Two vessels A and B contain spirit and water mixed in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?
(a) 4 : 3
(b) 3 : 4
(c) 5 : 6
(d) 7 : 9
Answer: D
Q 11. Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 3 69 % 13 milk, is
(a) 2 : 7
(b) 3 : 5
(c) 5 : 2
(d) 5 : 7
Answer: A
Q 12. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5 ?
(a) 4 litres, 8 litres
(b) 6 litres, 6 litres
(c) 5 litres, 7 litres
(d) 7 litres, 5 litres
Answer: B
What were the Alligation & Mixture questions on the CAT 2022 exam?
Q 13. One quality of wheat at Rs. 9.30 per kg is mixed with another quality at a certain rate in the ratio 8 : 7. If the mixture so formed be worth ` 10 per kg, what is the rate per kg of the second quality of wheat?
(a) Rs. 10.30
(b) Rs. 10.60
(c) Rs. 10.80
(d) Rs. 11
Answer: C
Q 14. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be :
(a) Rs. 169.50
(b) Rs. 170
(c) Rs. 175.50
(d) Rs. 180
Answer: C
Q 15. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is
(a) 400 kg
(b) 560 kg
(c) 600 kg
(d) 640 kg
Answer: C
Q 16. A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is :
(a) 1/3
(b) 2/3
(c) 2/5
(d) 3/5
Answer: B
Stay informed, Stay ahead and Stay inspired with MBA Rendezvous.