Ratio and proportion

 The Indian Defence Forces are a critical part of our country's security apparatus, and the selection process for becoming an officer in the defence forces is a rigorous and demanding process. It requires candidates to possess a strong academic background and a deep understanding of various subjects like mathematics, science, and general knowledge. Aspirants preparing for defence exams must have a well-planned preparation strategy and practice a lot of questions to improve their chances of success.

In this article, we will provide you with 20 questions on Ratio and Proportion, which are commonly asked in defence exams. These questions are designed to test your understanding of the topic, and the difficulty level ranges from moderate to advanced. We have also provided four options for each question and the correct answer at the end to help you assess your performance.

Question 1: The ratio of boys to girls in a class is 3:2. If there are 24 girls in the class, how many boys are there?

a) 18

b) 32

c) 36

d) 27

Question 2: If the ratio of the length and width of a rectangle is 4:3 and its perimeter is 140 cm, what is the length of the rectangle?

a) 80 cm

b) 60 cm

c) 40 cm

d) 20 cm

Question 3: The ratio of the speed of a car to a scooter is 6:5. If the car covers 360 km in 6 hours, what is the speed of the scooter?

a) 50 km/hr

b) 40 km/hr

c) 30 km/hr

d) 20 km/hr

Question 4: The ratio of the present ages of A and B is 5:3. If the sum of their ages is 40, what is the age of B?

a) 12

b) 16

c) 18

d) 20

Question 5: The ratio of two numbers is 3:7. If the first number is 21, what is the second number?

a) 49

b) 9

c) 63

d) 14

Question 6: If the ratio of the volumes of two similar figures is 8:27, what is the ratio of their corresponding heights?

a) 2:3

b) 3:2

c) 4:9

d) 9:4

Question 7: The ratio of the marks scored by A and B in an examination is 3:4. If the total marks for the examination are 600, what are the marks scored by B?

a) 300

b) 400

c) 450

d) 500

Question 8: The ratio of the number of boys to girls in a class is 5:4. If there are 45 girls in the class, what is the total strength of the class?

a) 81

b) 72

c) 64

d) 55

Question 9: If the ratio of the radii of two circles is 5:3, what is the ratio of their areas?

a) 25:9

b) 5:3

c) 15:25

d) 9:25

Question 10: The ratio of the ages of a father and his son is 7:3. If the father is 42 years old, what is the age of the son?

a) 18

b) 12

c) 9

d) 21

Question 11: The ratio of the angles of a triangle is 3:4:5. What is the angle measure of the largest angle in the triangle?

a) 60 degrees

b) 75 degrees

c) 90 degrees

d) 120 degrees

Question 12: The ratio of the side lengths of two similar triangles is 4:9. If the perimeter of the smaller triangle is 20 cm, what is the perimeter of the larger triangle?

a) 32 cm

b) 45 cm

c) 40 cm

d) 18 cm

Question 13: The ratio of the base radius and height of a cylinder is 2:3. If the volume of the cylinder is 264 cubic cm, what is its height?

a) 6 cm

b) 9 cm

c) 12 cm

d) 18 cm

Question 14: The ratio of the marks obtained by a student in two subjects is 7:5. If the total marks for both subjects are 480, what are the marks obtained by the student in the subject with higher marks?

a) 280

b) 200

c) 336

d) 240

Question 15: The ratio of the speeds of two trains is 3:4. If the first train covers a distance of 300 km in 5 hours, what is the speed of the second train?

a) 80 km/hr

b) 100 km/hr

c) 120 km/hr

d) 150 km/hr

Question 16: The ratio of the cost price and selling price of an article is 4:5. What is the profit percentage?

a) 20%

b) 25%

c) 30%

d) 40%

Question 17: The ratio of the height and base of a triangle is 3:4. If the area of the triangle is 24 sq.cm, what is its base?

a) 8 cm

b) 12 cm

c) 16 cm

d) 24 cm

Question 18: The ratio of the speeds of two cars is 5:3. If the first car covers a distance of 400 km in 8 hours, what is the speed of the second car?

a) 100 km/hr

b) 60 km/hr

c) 75 km/hr

d) 120 km/hr

Question 19: The ratio of the heights of two trees is 3:5. If the height of the smaller tree is 12 meters, what is the height of the larger tree?

a) 20 meters

b) 18 meters

c) 30 meters

d) 15 meters

Question 20: The ratio of the ages of A, B, and C is 2:3:5. If the sum of their ages is 60 years, what is the age of C?

a) 30 years

b) 25 years

c) 35 years

d) 40 years

Answers:

1. a
2. b
3. d
4. b
5. c
6. b
7. b
8. a
9. 25:9
10. b
11. d
12. a
13. b
14. a
15. c
16. b
17. b
18. d
19. c
20. d