# 15 + Alligation or Mixture Questions and Answers | Quantitative Aptitude

The Alligation or Mixture Questions are an important part of the quantitative aptitude section in the upcoming government exams.

Start your preparation by solving these questions. In this blog, we will review the fundamentals of Alligation or Mixture Questions, the types of questions asked in previous year exams and how to approach them. This will help you clear your basics and answer these Alligation or Mixture Questions.

## 15 + Alligation or Mixture Questions and Answers

Question 1: 8 litres are drawn from a cask full of wine and then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in the cask to that of the water is 16: 65. How much wine did the cask hold originally?

Question 2: A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

Question 3: Tea worth Rs. 135/kg & Rs. 126/kg are mixed with a third variety in the ratio 1: 1: 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg?

Question 4: The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is

Question 5: A can contain 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. How many litres of liquid A was contained by the can initially?

Question 6: A mixture of 150 litres of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

Question 7: A vessel contains 20 litres of a mixture of milk and water in a ratio of 3:2. 10 litres of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained.

Question 8: Find the ratio in which rice at Rs. 7.20 a kg is mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

Question 9: A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained in the container?

Question 10: The diluted wine contains only 8 litres of wine and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How many litres of the mixture shall be replaced with pure wine if there were initially 32 litres of water in the mixture?

Question 11: In a mixture of milk and water, the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water? (Weight in gm)

Question 12: From a container of wine, a thief stole 15 litres of wine and replaced it with the same quantity of water. He again repeated the same process. Thus in three attempts the ratio of wine and water became 343:169. The  initial amount of wine in the container was:

Question 13: The ratio of water and alcohol in two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures of two containers to get the new mixture in which the ratio of alcohol and water is 7:5?

Question 14: In the 75 litres mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is

Question 15: In a mixture of milk and water, there is only 26% water. After replacing the mixture with 7 litres of pure milk, the percentage of milk in the mixture becomes 76%. The quantity of the mixture is:

Question 16: Equal quantities of three mixtures of milk and water are mixed in the ratios 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is?

## FAQs

What are the formulae for the Allegation of a mixture?

The formula for the Allegation of a mixture is  Quantity of cheaper/ Quantity of dearer = CP of Dearer – Mean Price / Mean Price – CP of cheaper.

What is Alligation or Mixture in Maths?

The Alligation or Mixture in Maths means two, or more things that result in any mixture.

Which section covers the Alligation or Mixture Questions and Answers in any entrance exam?

The Alligation or Mixture Questions and Answers are part of Quantitative aptitude in any entrance exam.

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