Mixture and Alligation is an important topic of Arithmetic chapter in the Quantitative Aptitude Section. Out of 8-10 questions that are expected from the Arithmetic chapter, you can expect both direct and indirect application questions pertaining to this topic.
You need to buckle up your belts in order to gain a good score on this topic as well. Here we bring for you some questions which are based on the latest pattern that is expected in CAT 2016.
1. How many kgs of special sugar costing Rs. 84 per kg should a shopkeeper mix with 25 kgs of ordinary sugar costing Rs. 48 per kg so that he makes a profit of 25% on selling the mixture at Rs. 80 kg. ?
a) 12 kgs
b) 16 kgs
c) 20 kgs
d) 24 kgs
2. A barrel of 24 litres contains a mixture of milk and water in the ratio of 2: 3. How many litres of this mixture should be replaced with pure milk so that the resultant mixture contains 50% milk?
a) 1 litres
b) 1.5 litres
c) 4 litre
d) 2.5 litres
3. A mixture of wine and water contains 8Litres of wine, and 32 Litres of Water. A new mixture with wine concentration of 30% is to be formed by replacing “x” litres by wine in this mixture. Find the value of “x”.
a) 4
b) 5
c) 8
d) 10
4. Barrel A contains a mixture of kerosene and oil in the ratio 5:2, and Barrel B contains the mixture of oil and kerosene in the ratio 6 : 7. In what ratio should these mixtures be mixed to obtain a new mixture containing kerosene and oil in the ratio 8 : 5 ?
a) 4 : 3
b) 3 : 4
c) 5 : 6
d) 7 : 9
5. 8 litres of wine are drawn and replaced with water from a cask full of pure wine and the operation is repeated three more times. If the ratio of wine and water left in the cask are now 16:65, how much wine was originally held by the cask?
a) 18 litres
b) 24 litres
c) 32 litres
d) 42 litres
6. The ratio of diesel and petrol in two different containers is 2:3 and 4:5. In what ration we are required to mix the mixture of two containers in order to get the new mixture in which the ratio of petrol and diesel is 7: 5?
a) 7:3
b) 5:3
c) 8:5
d) 2:7
Also Read: Basic Concepts of Mixtures and Alligations
7. The average marks of the students in four sections P, Q, R and S together is 60%. The average marks of the students of P, Q, R and S individually are 45%, 50%, 72% and 80% respectively. If the average marks of the students of P and Q together is 48% and that of the students of Q and R together is 60%. What is the ratio of number of students in sections P and S?
a) 2:3
b) 4:3
c) 5:3
d) 3:5
8. In a mixture of alcohol and water, there is only 26% water. After replacing the mixture with 14 litres of alcohol, the percentage of alcohol in the mixture become 76%. The quantity of mixture is:
a) 165 litres
b) 182 litres
c) 138 litres
d) None of these
9. 40 kg of a metal contains 1/5 copper and rest is zinc. Another 50 kg of metal contains 1/6 copper and rest is zinc. The ration of copper and zinc into the mixture of these two metals:
a) 49:221
b) 39:231
c) 94:181
d) None of these
10. The ratio of petrol and kerosene in the container is 3:2 when 20 litres of the mixture is taken out and is replaced by the kerosene; the ratio becomes 2:3. The total quantity of the mixture in the container is:
a) 25
b) 30
c) 45
d) cannot be determined
Also Read: Application Problems on Mixtures and Allegations for CAT
Answers
Ques 1 |
Ques 2 |
Ques 3 |
Ques 4 |
Ques 5 |
Ques 6 |
Ques 7 |
Ques 8 |
Ques 9 |
Ques 10 |
---|---|---|---|---|---|---|---|---|---|
c |
c |
b |
d |
b |
b |
b |
b |
a |
b |
Explanation
Explanation (1):
Explanation (2):
Explanation (3):
Explanation (4):
Explanation (5)
Explanation (6):
Explanation (7):
Explanation (8):
Explanation (9):
Explanation (10):
Therefore, the total quantity of the mixture in the container is 60 litre.