The CAT QA section requires speed and accuracy, along with a thorough understanding of the Ratio and Proportion. This article provides a set of MCQs on Ratio and Proportion 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.
Also Read
CAT MCQs on Ratio and Proportion
1. A mixture P is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with cocoa powder and the same amount is again removed from P and replaced with the same amount of cocoa powder to form a mixture Q. If the ratio of coffee and cocoa in Q=16:9. Then the ratio of coca in with P:Q is?
A
1:3
B
4:9
C
1:2
D
5:9
2. In a company, 20% of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company, then the ratio of the average salary obtained by the manufacturing employees to the average salary obtained by the non-manufacturing employees is
A
6 : 5
B
4 : 5
C
5 : 4
D
5 : 6
3. If a certain amount of money is divided equally among n persons, each one receives Rs 352 . However, if two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each of them receive less than or equal to Rs 330 . Then, the maximum possible value of n is
A
15
B
17
C
16
D
None of Above
4. In a rectangle ABCD, AB = 9 cm and BC = 6 cm. P and Q are two points on BC such that the areas of the figures ABP, APQ, and AQCD are in geometric progression. If the area of the figure AQCD is four times the area of triangle ABP, then BP : PQ : QC is
A
1 : 1 : 2
B
1 : 2 : 1
C
1 : 2 : 4
D
2 : 4 : 1
5. In a library, the ratio of fiction books to non-fiction books is 7:5. The ratio of English fiction books to Hindi fiction books is 2:3. If there are 420 English fiction books, find the total number of non-fiction books in the library.
A
600
B
750
C
900
D
1050
6. A sum of money is divided among A, B, and C in the ratio 3:5:7 respectively. If B gets Rs. 300 more than A, then the total amount of money is:
A
Rs. 1500
B
Rs. 2250
C
Rs. 4550
D
Rs. 6550
7. In a group of 100 people, 70 like coffee, 60 like tea, and 45 like both coffee and tea. How many people like neither coffee nor tea?
A
5
B
10
C
15
D
20
8. A chemist has two solutions, A and B. Solution A is 30% acid and the rest water, while solution B is 60% acid and the rest water. If equal amounts of solutions A and B are mixed to form a new solution C, what is the percentage of acid in solution C?
A
35%
B
40%
C
50%
D
45%
9. A group of friends decided to share the cost of a gift equally. If each person contributed Rs. 50, the amount would have been short by Rs. 20. However, if each person contributed Rs. 60, they would have Rs. 30 more than the required amount. What is the price of the gift?
A
450
B
270
C
200
D
540
10. A stall sells popcorn and chips in packets of three sizes:large,super, and jumbo.The numbers of large,super,and jumbo packets in its stock are in the ratio 7:17:16 for popcorn and 6:15:14 for chips.If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio
A
1: 1
B
8: 7
C
4: 3
D
6: 5
11. If a and b are integers of opposite signs such that \((a+3)^2:b^2= 9:1\) and \((a -1)^2:(b - 1)^2=4:1\),then the ratio \(a:b\) is
A
9:4
B
81:4
C
1: 4
D
25: 4
12. The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. If instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. A fourth solution, D, is produced by mixing B and C in the ratio 2 : 7. The ratio of the strength of D to that of A is
A
2:5
B
1:3
C
1:4
D
3:10
13. The area of a rectangle and the square of its perimeter are in the ratio 1 : 25. Then the lengths of the shorter and longer sides of the rectangle are in the ratio
A
1:4
B
2:9
C
1:3
D
3:8
14. The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal’s new score to that of his original score is
A
5:4
B
8:5
C
4:3
D
3:2
15. If Rajesh’s age were to be the present age of Shivani, their age ratio would be \(3:2\). Then what would be their present age ratio?
A
2:3
B
3:2
C
4:2
D
1:2
Comments