17 September 2020

Alligation and Mixture Questions Answers – Tips, Tricks, Formulas of Problems

Quantitative Aptitude

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

  1. 4 litres
  2. 8 litres
  3. 16 litres
  4. 40 litres

2. In a mixture of 75 litres, 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

  1. 45 litres
  2. 60 litres
  3. 75 litres
  4. 80 litres

3. Zinc and copper are in the ratio of 5 : 3 in 200 gm of an alloy. How much grams of copper be added to make the ratio as 3 : 5?

  1. 133\frac {1}{3}
  2. \frac {1}{200}
  3. 72
  4. 66

4. The ratio of copper and zinc in brass is 13 : 7. How much zinc will be there in 100 kg of brass?

  1. 20 kg.
  2. 55 kg.
  3. 35 kg.
  4. 40 kg.

5. In 30 litres mixture of acid, the ratio of acid and water is 2 : 3. What amount of water should be added to the mixture so that the ratio of acid and water becomes 2 : 5?

  1. 10 litres
  2. 15 litres
  3. 18 litres
  4. 12 litres

6. In an alloy, the ratio of copper and zinc is 5 : 2. If 1.250 kg of zinc is mixed in 17 kg 500 g of alloy, then the ratio of copper and zinc will be

  1. 2 : 1
  2. 2 : 3
  3. 3 : 2
  4. 1 : 2

7. 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

8. 200 litres of a mixture contains milk and water in the ratio 17 : 3. After the addition of some more milk to it, the ratio of milk to water in the resulting mixture becomes 7 : 1. The quantity of milk added to it was

  1. 20 litres
  2. 40 litres
  3. 60 litres
  4. 80 litres

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

  1. 10
  2. 20
  3. 21
  4. 25

10. A container contains two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with B, the ratio of A and B becomes 1:1. How many litres of liquid A was in the container initially ?

  1. 26
  2. 16\frac {1}{2}
  3. 36\frac {3}{4}
  4. 26\frac {3}{4}

11. A and B are two alloys of gold and copper prepared by mixing metals in ratios 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be ;

  1. 7 : 5
  2. 5 : 9
  3. 9 : 5
  4. 5 : 7

12. The ratio in which a man must mix rice at 10.20 per kg and 14.40 per kg so as to make a mixture worth 12.60 per kg, is

  1. 4 : 3
  2. 2 : 5
  3. 18 : 24
  4. 3 : 4

13. In a 729 litres mixture of milk and water, the ratio of milk to water is 7 : 2. To get a new mixture containing milk and water in the ratio 7 : 3, the amount of water to be added is

  1. 81 litres
  2. 71 litres
  3. 56 litres
  4. 50 litres

14. In 40 litres mixture of milk and water the ratio of milk to water is 7 : 1. In order to make the ratio of milk and water 3 : 1, the quantity of water (in litres) that should be added to the mixture will be

  1. 6
  2. 6\frac {1}{2}
  3. 6\frac {2}{3}
  4. 6\frac {3}{4}

15. A mixture contains spirit and water in the ratio 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is

  1. 10 litres
  2. 12 litres
  3. 8 litres
  4. 9 litres

16. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

  1. \frac {1}{3}
  2. \frac {1}{4}
  3. \frac {1}{5}
  4. \frac {1}{7}

17. Two vessels A and B contain milk and water mixed in the ratio 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is

  1. 7 : 5
  2. 6 : 5
  3. 5 : 6
  4. 4 : 3

18. Vessels A and B contain mixtures of milk and water in the ratios 4 : 5 and 5 : 1 respectively. In what ratio should quantities of mixture be taken from A and B to form a mixture in which milk to water is in the ratio 5 : 4?

  1. 2 : 5
  2. 4 : 3
  3. 5 : 2
  4. 2 : 3

19. The milk and water in a mixture are in the ratio 7 : 5. When 15 litres of water are added to it, the ratio of milk and water in the new mixture becomes 7 : 8. The total quantity of water in the new mixture is

  1. 35 litres
  2. 40 litres
  3. 60 litres
  4. 96 litres

20. 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

  1. 34.24 kg
  2. 39.64 kg
  3. 43.74 kg
  4. 47.6 kg

21. The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is :

  1. 120 : 133
  2. 227 : 133
  3. 227 : 120
  4. 133 : 227

22. Two alloys are both made up of copper and tin. The ratio of copper and tin in the first alloy is 1 : 3 and in the second alloy is 2 : 5. In what ratio should the two alloys be mixed to obtain a new alloy in which the ratio of tin and copper be 8 : 3 ?

  1. 3 : 5
  2. 4 : 7
  3. 3 : 8
  4. 5 : 11

23. A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is

  1. 3 litres
  2. 4 litres
  3. 15 litres
  4. 10 litres

24. In two alloys A and B, the ratio of zinc to tin is 5 : 2 and 3 : 4 respectively. Seven kg of the alloy A and 21 kg of the alloy B are mixed together to form a new alloy. What will be the ratio of zinc and tin in the new alloy?

  1. 2 : 1
  2. 1 : 2
  3. 2 : 3
  4. 1 : 1

25. Zinc and copper are in the ratio 5 : 3 in 400 gm of an alloy. How much of copper (in grams) should be added to make the ratio 5 : 4?

  1. 50
  2. 66
  3. 72
  4. 200

26. 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 69\frac {3}{13}% milk is:

  1. 3 : 5
  2. 5 : 2
  3. 5 : 7
  4. 2 : 7

27. A mixture of 30 litres contain milk and water in the ratio of 7 : 3. How much water should be added to it so that the ratio of milk and water becomes 3 : 7 ?

  1. 40 litres
  2. 49 litres
  3. 56 litres
  4. 63 litres

28. A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes

  1. \frac {1}{4}
  2. \frac {1}{3}
  3. \frac {3}{4}
  4. \frac {2}{3}

29. There is 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture?

  1. 1 : 2
  2. 1 : 1
  3. 2 : 1
  4. 4 : 5

30. In 80 litres mixture of milk and water the ratio of amount of milk to that of amount of water is 7 : 3. In order to make this ratio 2 : 1, how many litres of water should be added ?

  1. 5
  2. 6
  3. 8
  4. 4

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