MCQ on Alligation and Mixtures
Alligation Mixture Problems MCQ will help you with your preparations for various exams such as bank exams, SSC, Railways, Insurance etc. The questions solved by this method sometime help aspirants to solve the question in few steps.
What is a mixture?
A mixture is a combination of two or more substances in a specific proportion.
What is alligation?
Alligation is a rule that helps calculate the proportion and strength of each substance in a mixture.
How is alligation used?
Alligation is used to find the ratio in which ingredients should be mixed to produce a mixture with a desired price. It can also be used to find the quantity of a mixture given the quantities of its ingredients.
Types of alligation
There are two types of alligation: alligation medial and alligation alternate. Alligation medial is used to find the quantity of a mixture, while alligation alternate is used to find the amount of each ingredient needed to make a mixture.
Mixture: It is the process of mixing two or more elements/ingredients together.
Allegation: It is a process or a rule that tells us how to mix two or more ingredients/mixtures to get the desired mixture of a certain price & concentration.
Now there are 2 ways of applying the allegation technique to questions.
Formula Method:
Quantity of cheaper/ Quantity of dearer = (Price of dearer – Mean price)/ (Mean Price- Price of cheaper)
Diagram Method:
The above-mentioned formula can be better understood using the diagram method & it is more convenient to use this method.
MCQ Questions on Alligation & Mixtures
1. The ratio in which a man must mix rice at Rs.10.20 per kg and Rs.14.40 per kg to make a mixture worth Rs.12.60 per kg, is
a) 18 : 24 b) 3 : 4 c) 2 : 5 d) 4 : 3
2. 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
a) 60 litres b) 96 litres c) 40 litres d) 35 litres
3. Zinc and copper are in the ratio of 5 : 3 in 200 gm of an alloy. How many grams of copper be added to make the ratio as 3 : 5?
a) 72 b) 66 c) 1 / 200 d) 133 1/3
4. A mixture of 30 litres contains 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 ?
a) 56 litres b) 63 litres c) 49 litres d) 40 litres
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 ?
a) 18 litres b) 12 litres c) 15 litres d) 10 litres