Alligation and Mixture Questions Answers – Tips, Tricks, Formulas of Problems
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Model Question Papers on Alligation and Mixture
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
- 4 litres
- 8 litres
- 16 litres
- 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
- 45 litres
- 60 litres
- 75 litres
- 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?
- 133\frac {1}{3}
- \frac {1}{200}
- 72
- 66
4. The ratio of copper and zinc in brass is 13 : 7. How much zinc will be there in 100 kg of brass?
- 20 kg.
- 55 kg.
- 35 kg.
- 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?
- 10 litres
- 15 litres
- 18 litres
- 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
- 2 : 1
- 2 : 3
- 3 : 2
- 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 :
- 61 : 29
- 61 : 28
- 60 : 29
- 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
- 20 litres
- 40 litres
- 60 litres
- 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
- 10
- 20
- 21
- 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 ?
- 26
- 16\frac {1}{2}
- 36\frac {3}{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 ;
- 7 : 5
- 5 : 9
- 9 : 5
- 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
- 4 : 3
- 2 : 5
- 18 : 24
- 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
- 81 litres
- 71 litres
- 56 litres
- 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
- 6
- 6\frac {1}{2}
- 6\frac {2}{3}
- 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
- 10 litres
- 12 litres
- 8 litres
- 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?
- \frac {1}{3}
- \frac {1}{4}
- \frac {1}{5}
- \frac {1}{7}
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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
- 7 : 5
- 6 : 5
- 5 : 6
- 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?
- 2 : 5
- 4 : 3
- 5 : 2
- 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
- 35 litres
- 40 litres
- 60 litres
- 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
- 34.24 kg
- 39.64 kg
- 43.74 kg
- 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 :
- 120 : 133
- 227 : 133
- 227 : 120
- 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 ?
- 3 : 5
- 4 : 7
- 3 : 8
- 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
- 3 litres
- 4 litres
- 15 litres
- 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?
- 2 : 1
- 1 : 2
- 2 : 3
- 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?
- 50
- 66
- 72
- 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:
- 3 : 5
- 5 : 2
- 5 : 7
- 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 ?
- 40 litres
- 49 litres
- 56 litres
- 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
- \frac {1}{4}
- \frac {1}{3}
- \frac {3}{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 : 2
- 1 : 1
- 2 : 1
- 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 ?
- 5
- 6
- 8
- 4