Topic: Mixtures- Live Class Sheet

Question: Pre-Assessment:

Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the
second having water and liquid B in the ratio 1 : 3, and the third having water and
liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are
further mixed in the proportion 4 : 3 : 2. Then the resulting mixture has :

CAT 2017

A. The same amount of water and liquid B

B. The same amount of liquids B and C
C. More water than liquid B
D. More water than liquid A

Question: Pre-Assessment:
There is a mixture of milk and water 120 lt. (1/6)TH part of this mixture is milk. We took
out 30 lt mixture and added 'p' lt milk to this mixture and the ratio was reversed. Then we
added 'q' lt water to this mixture then again the ratio was reversed. Find the value of(q –p).
(a) 1440 lt (b) 1442 lt
(c) 1439 lt (d) 1443 lt

Concept Building:

1. The ratio of milk and water in a mixture is 3 : 5. We added 10 lt water to the mixture
then ratio becomes 3 : 7. Find the initial quantity of milk.

(a) 15 lt (b) 14 lt (c) 20 lt (d) 17 lt

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2. In a mixture of 80 liters, milk and water are in the ratio of 11 : 9. What is the quantity of
milk in the mixture?
(a) 54 (b) 45 (c) 44 (d) 36

3. The ratio of milk and water in a mixture of 66 lt is 5 : 6. We added 12 lt water to the

mixture, then find the ratio of milk and water.

(a) 5 : 8 (b) 2 : 4 (c) 7 : 9 (d) 1 : 3

4. The ratio of milk and water in a mixture of 45 lt is 4 : 5. We added 5 lt milk and 10 lt

water to the mixture, then find the ratio of milk and water.

(a) 2 : 1 (b) 5 : 7 (c) 5 : 9 (d) 1 : 1

5. Two vessels contain equal quantity of mixtures of milk and water in the ratio 9:5 and 4:3
respectively. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in
the new mixture so obtained.
(a)7: 11 (b) 11 :17
(c)8: 13 (d) 13:8

6. There are three containers of equal capacity. The ratio of Sulphuric acid to water in the
first container is 3 : 2, that in the second container is 7 :3 and in the third container it is 11 :
4. If all the liquids are mixed together, then the ratio of Sulphuric acid to water in the
mixture will be :
(1) 61 : 29 (2) 61 : 28
(3) 60 : 29 (4) 59 : 29

7. Three bottles of equal capacity contain mixtures of milk and water in ratio 2:5,3:4 and 4 :
5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of
milk and water respectively in the large bottle?
(1) 73 : 106 (2) 73 : 116
(3) 73 : 113 (4) 73 : 189

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 Type I - Based ON Capacity

Q.1 The ratio of milk and water in two vessels having same capacity are 2 : 3 and 5 : 4.
Both are poured into a third vessel, then find the ratio of milk and water in third vessel.

.2 The ratio of milk and water in two vessels are 3 : 5 and 4 : 7. The capacity of both vessels
are in the ratio1 : 2. Both are poured into a third vessel, then find the ratio of milk and
water in third vessel.

Q.3 The ratio of milk and water in two vessels are 3 : 4 and 5 : 6. The capacity of both
vessels are in the ratio 1 : 2. If the whole quantity of first vessel and half quantity of
second vessel are poured into a third vessel, then find the ratio of milk and water in third
vessel.

Q.4 . The ratio of milk and water in three vessels are 2 : 1, 1 : 5 and 5 : 7. The capacity of
all vessels are same. All are poured into a fourth vessel, then find the ratio of milk and
water in fourth vessel.

Q.5 . The ratio of milk and water in three vessels are 3 : 1, 4 : 3 and 5 : 2. The ratio of
capacity of all vessels are in the ratio 6 : 4 : 3. All are poured into a fourth vessel, then find
the ratio of milk and water in fourth vessel.

Q.6 . The ratio of milk and water in four vessels are 1 : 2, 3 : 2, 7 : 3 and 1 : 1. The ratio of
capacity of all vessels are in the ratio 1 : 2 : 3 : 4. All are poured into a fifth vessel, then
find the ratio of milk and water in fifth vessel.

TYPE: Adding some amount

1. The ratio of milk and water in a mixture is 3 : 5. We added 10 lt water to the mixture
then ratio becomes 3 : 7. Find the initial quantity of milk.

TITA

2. The ratio of milk and water in a mixture is 3 : 7. We added 10 lt water to the mixture
then ratio becomes 1 : 3. Find the initial quantity of milk.
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 TITA

3. In 24 litres mixture of milk and water the ratio of milk and water is 9 : 4. How much
water should be added in the mixture so that the ratio of milk to water becomes 4 : 9?

TITA

4. In 44 liters mixture of milk and water the ratio of milk and water is 6 : 5. How much
water should be added in the mixture so that the ratio of milk to water becomes 2:3?

5. In 40 litres mixture of milk and water the ratio of milk and water is 3 : 1. How much
water should be added in the mixture so that the ratio of milk to water becomes 2 : 1?

TITA

6.In 60 litres mixture of milk and water the ratio of milk and water is 4:1. How much water
should be added in the mixture so that the ratio of milk to water becomes
3: 1?

TITA

7. In 153 liters mixture of milk and water the ratio of milk and water is 11 : 6. How much
water should be added in the mixture so that the ratio of milk to water becomes 3 : 2?

TITA

8. In 80 litres mixture of milk and water the ratio of milk and water is 13 : 3. How much
water should be added in the mixture so that the ratio ofmilk to water becomes 5 :4?

TITA