Mixtures and
Allegations Question and Answers Practice Set-1

1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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:

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