This set of Aptitude Questions and Answers (MCQs) focuses on “Alligation or Mixture – Set 2”.

1. A liquid containing 50% milk is mixed with another liquid containing 40% milk in the ratio x : y. If the percentage of milk in the final mixture is 45%, find the ratio x : y.

a) 1 : 1

b) 1 : 2

c) 2 : 1

d) 3 : 4

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (45 – 40) : (50 – 45) = 5 : 5 = 1 : 1

2. A liquid containing 35% of an acid is mixed with another liquid containing 45% of the acid in a ratio x : y. If the percentage of acid in the final mixture is 41%, find the ratio x : y.

a) 1 : 2

b) 2 : 3

c) 3 : 2

d) 2 : 1

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Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (45 – 41) : (45 – 35) = 4 : 6 = 2 : 3

3. A liquid containing 60% of an acid is mixed with another liquid containing 40% of the acid in a ratio x : y. If the percentage of acid in the final mixture is 47.5%, find the ratio x : y.

a) 7 : 3

b) 3 : 5

c) 5 : 3

d) 3 : 7

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Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (47.5 – 40) : (60 – 47.5) = 7.5 : 12.5 = 3 : 5

4. A liquid containing 75% of oil is mixed in another liquid containing 25% of oil in the ratio x : y. If the percentage of oil in the final liquid is 37.5%, find the ratio x : y.

a) 1 : 2

b) 1 : 3

c) 3 : 1

d) 2 : 1

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Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (37.5 – 25) : (75 – 37.5) = 12.5 : 37.5 = 1 : 3

5. A mixture containing 60% of milk is mixed with another mixture containing 75% of milk in a ratio x : y. If the quantity of milk in the final mixture is 69%, find the ratio x : y.

a) 2 : 3

b) 3 : 4

c) 4 : 3

d) 3 : 2

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (75 – 69) : (69 – 60) = 6 : 9 = 2 : 3

6. A mixture containing 20% of acid is mixed with another mixture containing 80% of acid in the ratio x : y. If the quantity of acid in the final mixture is 32%, find the ratio x : y.

a) 1 : 4

b) 4 : 1

c) 2 : 5

d) 5 : 2

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (80 – 32) : (32 – 20) = 48 : 12 = 4 : 1

7. A mixture containing 50% wine is mixed with another mixture containing 60% wine in the ratio x : y. If the quantity of wine in the final mixture is 51.25%, find the value of x : y.

a) 1 : 7

b) 3 : 5

c) 5 : 3

d) 7 : 1

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (60 – 51.25) : (51.25 – 50) = 8.75 : 1.25 = 7 : 1

8. A mixture containing 70% ethanol is mixed with another mixture containing 60% ethanol in the ratio x : y. If the quantity of wine in the final mixture is 62.5%, find the value of x : y.

a) 1 : 2

b) 2 : 1

c) 1 : 3

d) 3 : 1

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (62.5 – 60) : (70 – 62.5) = 2.5 : 7.5 = 1 : 3

9. A liquid containing 55% of water is mixed with another liquid containing 60% of water in a ratio x : y. If the quantity of water in the final mixture is 56.5%, find the value of x : y.

a) 2 : 7

b) 7 : 2

c) 3 : 7

d) 7 : 3

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (60 – 56.5) : (56.5 – 55) = 3.5 : 1.5 = 7 : 3

10. A mixture containing 60% of acid is mixed with another liquid containing 20% acid in the ratio x : y. If the quantity of acid in the final mixture is 44%, find the value of x : y.

a) 2 : 3

b) 3 : 2

c) 2 : 5

d) 5 : 2

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (44 – 20) : (60 – 44) = 24 : 16 = 3 : 2

11. A mixture containing 35% of milk is mixed with another mixture containing 65% of milk in a ratio x : y. If the quantity of milk in the final mixture is 45%, find the ratio x : y.

a) 2 : 1

b) 3 : 2

c) 2 : 3

d) 1 : 2

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (65 – 45) : (45 – 35) = 20 : 10 = 2 : 1

12. A mixture containing 15% of acid is mixed with another mixture containing 85% of acid in the ratio x : y. If the quantity of acid in the final mixture is 29%, find the ratio x : y.

a) 1 : 4

b) 4 : 1

c) 2 : 5

d) 5 : 2

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (85 – 29) : (29 – 15) = 56 : 14 = 4 : 1

13. A mixture containing 95% wine is mixed with another mixture containing 75% wine in the ratio x : y. If the quantity of wine in the final mixture is 87%, find the value of x : y.

a) 2 : 3

b) 3 : 4

c) 4 : 3

d) 3 : 2

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (87 – 75) : (95 – 87) = 12 : 8 = 3 : 2

14. A mixture containing 27% ethanol is mixed with another mixture containing 77% ethanol in the ratio x : y. If the quantity of wine in the final mixture is 53%, find the value of x : y.

a) 11 : 21

b) 21 : 11

c) 12 : 13

d) 13 : 12

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (77 – 53) : (53 – 27) = 24 : 26 = 12 : 13

15. A liquid containing 39% of water is mixed with another liquid containing 97% of water in a ratio x : y. If the quantity of water in the final mixture is 73.8%, find the value of x : y.

a) 2 : 3

b) 3 : 2

c) 4 : 7

d) 7 : 4

View Answer

Explanation: The ratio in which the liquids are mixed = x : y.

X : y = (97 – 73.8) : (73.8 – 39) = 23.2 : 34.8 = 2 : 3

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