Welcome to Indian Defence Era, a website designed for aspirants preparing for various Indian Defence exams. The website aims to provide comprehensive study materials, exam-related news, and updates to help students prepare for their dream career in the Indian Defence sector. The Indian Defence Era team believes in providing accurate, authentic, and reliable information to the students so that they can excel in their exams and make a bright future for themselves.
Ratio and Proportion Questions:
Ratio and Proportion are important topics in mathematics and are often asked in various Indian Defence exams. Here are 20 questions on Ratio and Proportion from basic to moderate level to help you prepare for your exams.
1.If the ratio of two numbers is 2:3, and their sum is 25, then what is the larger number?
A. 10
B. 15
C. 12
D. 18
2.If the ratio of two numbers is 5:8, and their difference is 45, then what is the larger number?
A. 80
B. 75
C. 64
D. 40
3.The ratio of the present age of A and B is 3:5. If the difference between their ages is 10 years, then what will be the age of A after 6 years?
A. 24 years
B. 22 years
C. 20 years
D. 18 years
4.If the ratio of two numbers is 7:11, and their product is 1386, then what is the smaller number?
A. 22
B. 33
C. 44
D. 55
5.The ratio of the sides of two similar triangles is 2:3. If the area of the smaller triangle is 18 cm², then what is the area of the larger triangle?
A. 27 cm²
B. 36 cm²
C. 45 cm²
D. 54 cm²
6.If the ratio of the first and second class fares between two stations is 2:3, and a first class ticket costs Rs. 120, then what is the cost of a second class ticket for the same distance?
A. Rs. 60
B. Rs. 90
C. Rs. 80
D. Rs. 100
7.If the ratio of the number of boys and girls in a class is 5:3, and there are 48 students in the class, then what is the number of boys in the class?
A. 20
B. 30
C. 25
D. 18
8.A sum of Rs. 8000 is to be divided among A, B, and C in the ratio of 3:4:5. What is the share of B?
A. Rs. 2000
B. Rs. 3000
C. Rs. 4000
D. Rs. 5000
9.The ratio of the length and breadth of a rectangle is 5:3. If the perimeter of the rectangle is 64 cm, then what is its length?
A. 20 cm
B. 25 cm
C. 30 cm
D. 35 cm
10.If the ratio of the areas of two circles is 9:16, then what is the ratio of their radii?
A. 3:4
B. 4:3
C. 9:16
D. 16:9
11.A bag contains 4 red balls, 5 green balls, and 3 blue balls. What is the ratio of red balls to blue balls?
A. 4:3
B. 3:4
C. 5:3
D. 3:5
12.If the ratio of the sides of a square and an equilateral triangle is 1:√3, then what is the ratio of their areas?
A. 1:√3
B. 1:3
C. √3:1
D. 3:1
13.If the ratio of the volumes of two cones is 8:27, and their heights are in the ratio of 3:4, then what is the ratio of their radii?
A. 2:3
B. 3:4
C. 4:3
D. 3:2
14.If the ratio of the sides of two squares is 2:3, then what is the ratio of their perimeters?
A. 2:3
B. 3:2
C. 4:5
D. 5:4
15.If the ratio of the speeds of two cars is 3:4, and the distance between them is 180 km, then how far will the faster car have travelled by the time it overtakes the slower car?
A. 120 km
B. 135 km
C. 150 km
D. 160 km
16.If the ratio of the lengths of two sides of a triangle is 2:3, and the perimeter of the triangle is 60 cm, then what is the length of the shorter side?
A. 10 cm
B. 12 cm
C. 15 cm
D. 18 cm
17.The ratio of the ages of a father and his son is 3:1. If the sum of their ages is 48 years, then what is the age of the father?
A. 36 years
B. 42 years
C. 45 years
D. 48 years
18.The ratio of the surface areas of two cubes is 1:4. What is the ratio of their volumes?
A. 1:2
B. 1:3
C. 1:4
D. 1:8
19.If the ratio of the angles of a triangle is 2:3:4, then what is the measure of the smallest angle?
A. 30°
B. 40°
C. 50°
D. 60°
20.If the ratio of the heights of two cylinders is 2:3, and their volumes are in the ratio of 4:9, then what is the ratio of their radii?
A. 2:3
B. 3:2
C. 4:3
D. 3:4
Correct answers:
1.B
2.A
3.D
4.A
5.D
6.B
7.A
8.C
9.B
10.A
11.A
12.D
13.B
14.D
15.B
16A
17.B
18.D
19.A
20.B
For queries and inquiry ask me