The CAT QA section requires speed and accuracy, along with a thorough understanding of the Mixtures and Allegations. This article provides a set of MCQs on Mixtures and Allegations to help you understand the topic and improve your problem-solving skills with the help of detailed solutions by ensuring conceptual clarity, which will help you in the CAT 2025 exam preparation
Whether you're revising the basics or testing your knowledge, these MCQs will serve as a valuable practice resource.
The CAT 2025 exam is expected to follow a similar trend to the CAT 2024, with 22 questions from the QA section out of a total of 68 questions.
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CAT MCQs on Mixtures and Allegations
1. A container has 40 liters of milk. Then, 4 liters are removed from the container and replaced with 4 liters of water. This process of replacing 4 liters of the liquid in the container with an equal volume of water is continued repeatedly. The smallest number of times of doing this process, after which the volume of milk in the container becomes less than that of water, is
A
5
B
7
C
4
D
None of Above
2. An alloy is prepared by mixing three metals A, B and C in the proportion 3: 4: 7 by volume. Weights of the same volume of the metals A, B and C are in the ratio 5: 2: 6. In 130 kg of the alloy, the weight, in kg, of the metal C is
A
70
B
96
C
48
D
84
3. Two alcohol solutions, A and B, are mixed in the proportion 1:3 by volume. The volume of the mixture is then doubled by adding solution A such that the resulting mixture has 72% alcohol. If solution A has 60% alcohol, then the percentage of alcohol in solution B is
A
94%
B
92%
C
90%
D
89%
4. A solution, of volume 40 litres, has dye and water in the proportion 2 : 3. Water is added to the solution to change this proportion to 2 : 5. If one-fourths of this diluted solution is taken out, how many litres of dye must be added to the remaining solution to bring the proportion back to 2 : 3? [This Question was asked as TITA]
A
8 litres
B
5 litres
C
6 litres
D
7 litres
5. A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, then the ratio of lemon juice and sugar syrup in the new mixture is
A
1 : 6
B
1 : 4
C
1 : 5
D
1 : 7
6. A shopkeeper has two jars P and Q containing almond oil in the ratio 2 : 3 respectively. He mixes '3x' litres and '2x' litres of olive oil in P and Q, respectively, after which the percentage of olive oil in jar P becomes 80% more than that in jar Q. If mixtures from jar P and jar Q are then mixed in the ratio of 3 : 1, what will be the percentage of olive oil in the resultant mixture?
A
45%
B
44%
C
66%
D
32%
7. A glass is initially filled entirely with milk. In each step, \(\frac{2}{3}\) of the milk is replaced with water. This process is repeated 3 times. What is the final ratio of water to milk in the glass?
A
\(1 : 27\)
B
\(1 : 20\)
C
\(1 : 26\)
D
\(26 : 1\)
8. A container has a mixture of acid and water. If 2 liters of water are added, the acid content reaches 50%. After adding 18 liters of acid, the acid content increases to 80%. What was the initial acid to water ratio in the container?
A
4:3
B
3:2
C
4:2
D
1:2
9. A vessel contained a certain amount of a solution of acid and water. When 2 litres of water was added to it, the new solution had 50% acid concentration. When 15 litres of acid was further added to this new solution, the final solution had 80% acid concentration. The ratio of water and acid in the original solution was
A
3 : 5
B
5 : 3
C
4 : 5
D
5 : 4
10. Two liquids A and B are in the ratio 5 : 1 in container 1 and 1 : 3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1?
A
2 : 3
B
4 : 3
C
3 : 2
D
3 : 4
11. One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks—the first was full of pure petrol while the second was empty. First, he transferred an arbitrary amount of petrol from the first tank into the second and then replaced the petrol removed from the first tank with kerosene. He then repeated this process one more time but this time he ensured that by the end of the process the second tank was exactly full.
Which of the following can be the concentration of petrol in the second tank?
Which of the following can be the concentration of petrol in the second tank?
A
50%
B
60%
C
\(66\frac{2}{3}%\)
D
80%
12. Fresh grapes contain 90% water by weight while dried grapes contain 20% water. What is the weight of dry grapes available from 20 kg of fresh grapes?
A
2 kg
B
2.4 kg
C
2.5 kg
D
None of these
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