Mixture and Alligation Question Sheet (Replacements)

Table Of Content

Practice Question

Answer Key

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Mixture and Alligation Question Sheet

Q.1 A container is filled full of alcohol. 5 litres of that is drawn and then filled with water. The same operation is done 2 more times and the ratio of alcohol and water in the container becomes 8 : 19. Find the quantity of alcohol initially in the container.

1. 15 L

2. 17 L

3. 18 L

4. 20 L

Q.2 A mixture of wine and water is in ratio 5 : 3. If 80 liters of mixture is taken out and 8 liters of pure water is added to the mixture, then percentage of wine in the mixture becomes 60%. Find the initial quantity of mixture.

1. 264 L

2. 272 L

3. 284 L

4. 324 L

Q.3  In a container there is mixture of juice and lemonade in the ratio 5 : 2. Total quantity of mixture is 84 liter. After some time, 7 liter of mixture is taken out and 13 liter of lemonade is added in the mixture. Find out the new ratio of juice to lemonade.

1. 8 : 11

2. 9 : 8

3. 11 : 8

4. 11 : 7

Q.4 A vessel contains mixture of milk and water mixed in the ratio of 21 : 17 respectively. 304 liters of the mixture is taken out of the vessel and is replaced with 183 liters of milk, such that the ratio of the milk to water in the vessel becomes 11 : 6. What was the initial quantity of water in the vessel?

1. 340 L

2. 384 L

3. 406 L

4. 442 L

Q.5 Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?

1. 2 kg

2. 2.5 kg

3. 3 kg

4. None of these

Q.6 A milkman mixes 20 litres of water with 80 litres of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk?

1. 1 : 2

2. 2 : 1

3. 1 : 3

4. 2 : 3

Q.7 Alloy A contains zinc and copper in the ratio of 4 : 7 and another alloy B contains copper and aluminium in the ratio of 8 : 11 . These two alloys are mixed to form a mixture of alloys containing 24-gram zinc and 90-gram copper and some aluminium. If the cost of Zinc, Aluminium and Copper is Rs. 10, Rs. 12 and Rs. 14 per gram, then find the total cost of the resultant mixture.

1. Rs. 2192

2. Rs. 2292

3. Rs. 2392

4. cannot be determined

Q.8 Two identical bottles are completely filled with a solution of salt and water having different concentrations. The concentration of the solution in the first bottle is 37% and that in the second bottle is 12%. A part of the solution from the first bottle is thrown away and is replaced with an equal volume of the solution from the second bottle. What percentage of solution is left in the second bottle if the concentration of the solution in the first bottle is now 17%?

Q.9 A vessel contains 50 litres of pure milk. From these 10 litres of milk is replaced with water. The process is repeated one more time. Find the quantity of milk in the final solution.

1. 32 L

2. 36 L

3. 38 L

4. 40 L

Q.10  A jar full of whiskey contains 25% alcohol. A part of this whisky is replaced by another whiskey containing 16% alcohol and now the percentage of alcohol was found to be 23%. Find the ratio in which two types of whiskies are mixed together.

1. 2 : 7

2. 7 : 2

3. 4 : 5

4. 6 : 5

Q.11 A greedy worker at a honey manufactory steals 10 litres from a full vat of honey, replacing it by an equal  quantity of water to hide the crime. After some time he steals another 10 litres from the same vat, replacing it again by water. The ratio of honey to water is now 49 : 32. What is the capacity of the vat?

1. 45L

2. 44L

3. 46L

4. 43L  

5. 45.5L

Q.12 Two vessel P and Q contain banana shake and mango shake in ratio 2 : 3 and 3 : 5 respectively. If 20 liters of the mixture is removed from vessels P and poured in vessel Q then ratio of banana shake to mango shake in vessel Q becomes 5 : 8. Find the initial quantity of mango shake in vessel Q.

1. 12 litres

2. 16 litres

3. 20 litres

4. 24  litres

Q.13 The ratio of copper and zinc in a 63 kg alloy is 4:3. Some amount of copper is extracted from the alloy, and the ratio becomes 10:9. How much copper is extracted?

1. 6 kg

2. 8kg

3. 0kg

4. 12kg

Q.15 A milkman mixes 25 litres of water with 75 litres of milk. He sells 1/5th of the mixture and then adds water to replenish the quantity which he has sold. What is the resultant proportion of milk to water?

1. 2 : 3

2. 1 : 3

3. 3 : 2

4. 1 : 4

Q.16 A vessel contains milk and water in the ratio 2 : 5. 10% of this solution is removed and replaced by milk. Then 30% of it is removed and replaced by milk. Finally 25% of it is removed and replaced by milk. Find the ratio of milk and water in the vessel finally.

1. C

Q.17 The ratio of milk and water in a vessel is 5 : 4. 18 litres of this solution are drawn and replaced with water, and as a result, the ratio of milk and water becomes 4 : 5. How many litres of solution does the vessel contain?

1. 90

2. 72

3. 36

4. 112

5. none of these

Q.18 A milkman takes two parts of a milk water mixture of 60% concentration and one part of a milk water mixture of 90% concentration and takes 100 litres of the new mixture. How much water should he evaporate from 100 litres of the mixture to make it of 80% concentration?

1. 20

2. 10

3. 12.5

4. 15

5. none of these

Q.19 A scientist has a 100 litre cistern filled with pure acid. With a 20-litre jug, he removes precisely 20 litres from the istern, replacing it with water. He repeats this process again. What is the concentration of acid left in the cistern? After how many such processes will the concentration drop below 50%?

1. 64L and 1 steps

2. 64L and 2 steps

3. 64L and 3 steps

4. 64L and 4 steps

5. 60L and 4 steps

Q.20 A container contains 1000 litres of pure milk. A person takes out 10% of milk from the container and replaces it with same amount of water. Then again 10% mixture is taken out and replaced with same amount of pure water. This process is repeated once more.  After these three operations what is the quantity of milk left in the mixture?

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Mixture and Alligation Question Sheet (Replacements) Answers

1	2	3	4	5	6	7	8	9	10
A	B	D	D	B	D	B	20%	A	B
11	12	13	14	15	16	17	18	19	20
A	C	A	A	C	E	A	C	D	729