Allegation Practice Questions

Practice Questions on Mixtures and Allegations:

Q1. A jar contained a mixture of two liquids A and B in the ratio 4:1. When 10 litres of the mixture was taken out and 10 litres of liquid B was poured into the jar, this ratio became 2:3. The quantity of liquid A contained in the jar initially was

a) 4 litres b) 8 litres c) 16 litres d) 40 litres

Q2. In a mixture of 75 llitres, the ratio of milk to water is 2:1. The amount of water to be further added to the mixture so as to make the ratio of the milk to water 1:2 will be

a) 45 litres b) 60 litres c) 75 litres d) 80 litres

Q3. Two types of alloys posses gold and silver in the ratio of 7:22 and 21:37. In what ratio should these alloys be mixed so as to have a new alloy in which gold and silver would exist in the ratio 25:62?

a) 13:8 b) 8:13 c) 13:12 d) 6:9

Q4. A mixture of 40 litres of milk and water contains 10% of water. How much water must be added to make the water 20% in the new mixture?

a) 10 litres b) 7 litres c) 5 litres d) 3 litres

Q5. A mixture contains wine and water in the ratio 3:2 and another mixture contains them in the ratio 4:5. How many litres of latter must be mixed with 3 litres of the former so that the resulting mixture may contain equal quantities of wine and water?

a) 27/5 litres b) 27/3 litres c) 9/2 litres d) 15/4 litres

Q6. The ratio in which tea costing Rs 192 per kg is to be mixed with tea costing Rs 150 per kg so that the mixed tea, when sold for rs 194.40 per kg, gives a profit of 20%, is

a) 2:5 b) 3:5 c) 5:3 d) 5:2

Q7. A shopkeeper bought 15 kg of rice at the rate of Rs 29 per kg and 25 kg of rice at the rate of rs 20 per kg. He sold the mixture of both types of rice at the rate of rs 27 per kg. His profit in this transaction is

a) Rs 125 b) Rs 150 c) Rs 140 d) Rs 145

Q8. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drained off and the Can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the Can initially?

a) 10 b) 20 c) 21 d) 25

Q9. A container contains 60 kg of milk. From this container 6 kg of milk was taken out and replaced by water. This process was repeated further two times. The amount of milk left in the container is

a) 34.24 kg b) 39.64 kg c) 43.74 kg d) 47.6 kg

Q10. 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 900/13% milk is:

a) 3:5 b) 5:2 c) 5:7 d) 2:7

Answer key:

1d , 2 c , 3a , 4c , 5a , 6a , 7d , 8c , 9c , 10d

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