TNPSC Group 1 - Ratio and proportion problems. Online Test (MCQ Quiz)

1. If the ratio of two numbers is 3:5 and their sum is 80, what are the numbers?

A) 20 and 60 B) 30 and 50 C) 24 and 56 D) 15 and 65

2. The ratio of boys to girls in a class is 4:7. If there are 28 boys, how many girls are there?

A) 35 B) 49 C) 56 D) 63

3. Two numbers are in the ratio 5:8. If the difference between the numbers is 24, find the numbers.

A) 40 and 64 B) 35 and 59 C) 45 and 69 D) 50 and 74

4. A sum of money is divided among A, B, and C in the ratio 2:3:5. If C receives Rs. 500 more than B, what is the total sum of money?

A) Rs. 1000 B) Rs. 1500 C) Rs. 2000 D) Rs. 2500

5. The ratio of the ages of two brothers is 3:4. If the sum of their ages is 42 years, what is the age of the elder brother?

A) 18 years B) 21 years C) 24 years D) 28 years

6. If a:b = 2:3 and b:c = 4:5, find the ratio a:b:c.

A) 2:3:5 B) 8:12:15 C) 6:9:10 D) 10:15:20

7. The ratio of the cost of a pen to a pencil is 5:2. If the cost of the pen is Rs. 30, what is the cost of the pencil?

A) Rs. 10 B) Rs. 12 C) Rs. 15 D) Rs. 18

8. In a mixture of milk and water, the ratio of milk to water is 7:3. If the total volume of the mixture is 50 liters, how much milk is there?

A) 15 liters B) 21 liters C) 35 liters D) 42 liters

9. The ratio of two quantities is 7:11. If the first quantity is 49, what is the second quantity?

A) 66 B) 77 C) 88 D) 99

10. If 3x = 5y, what is the ratio x:y?

A) 3:5 B) 5:3 C) 15:1 D) 1:15

11. The ratio of income to expenditure of a person is 11:10. If he saves Rs. 900 per month, what is his income?

A) Rs. 9000 B) Rs. 9900 C) Rs. 10000 D) Rs. 11000

12. If the ratio of the sides of a rectangle is 3:5 and its perimeter is 80 cm, what is the length of the longer side?

A) 15 cm B) 25 cm C) 30 cm D) 40 cm

13. A sum of Rs. 530 is divided among P, Q, and R such that P gets 1/2 of Q and Q gets 1/4 of R. The share of Q is:

A) Rs. 100 B) Rs. 120 C) Rs. 150 D) Rs. 200

14. What is the fourth proportional to 4, 6, and 8?

A) 10 B) 12 C) 14 D) 16

15. The ratio of ages of father and son is 7:2. If the difference of their ages is 30 years, what is the age of the son?

A) 10 years B) 12 years C) 15 years D) 20 years

16. If 4:x = 6:9, find the value of x.

A) 5 B) 6 C) 7 D) 8

17. The ratio of two numbers is 2:5. If 5 is added to each number, the ratio becomes 3:7. Find the numbers.

A) 10 and 25 B) 12 and 30 C) 14 and 35 D) 16 and 40

18. If a:b = 3:4 and b:c = 5:7, find the ratio a:c.

A) 3:7 B) 15:28 C) 12:21 D) 20:21

19. The ratio of the number of boys and girls in a school is 11:10. If the total number of students is 1260, find the number of girls.

A) 550 B) 600 C) 630 D) 660

20. In what ratio must rice at Rs. 80 per kg be mixed with rice at Rs. 120 per kg so that the mixture is worth Rs. 90 per kg?

A) 3:1 B) 1:3 C) 2:1 D) 1:2

21. The ratio of two numbers is 9:13. If the sum of the numbers is 110, find the difference between the numbers.

A) 10 B) 20 C) 30 D) 40

22. If 0.5 : x = 1.5 : 9, find x.

A) 1 B) 2 C) 3 D) 4

23. The ratio of the areas of two circles is 1:4. What is the ratio of their radii?

A) 1:2 B) 1:4 C) 2:1 D) 4:1

24. A sum of money is divided between Ram and Shyam in the ratio 4:5. If Ram gets Rs. 400, how much does Shyam get?

A) Rs. 450 B) Rs. 500 C) Rs. 600 D) Rs. 800

25. If the ratio of the number of apples and oranges in a basket is 5:3. If there are 24 fruits in total, how many apples are there?

A) 10 B) 15 C) 20 D) 25

26. What is the mean proportional between 9 and 25?

A) 15 B) 16 C) 17 D) 18

27. The ratio of the speeds of two trains is 5:6. If the first train covers a distance of 500 km in 5 hours, what is the speed of the second train?

A) 100 km/hr B) 120 km/hr C) 150 km/hr D) 200 km/hr

28. If x/y = 2/3 and y/z = 4/5, find x:z.

A) 2:5 B) 8:15 C) 3:5 D) 6:5

29. A sum of Rs. 750 is divided among A, B, and C in the ratio 1:2:3. The share of C is:

A) Rs. 125 B) Rs. 250 C) Rs. 375 D) Rs. 500

30. The ratio of the number of male and female employees in a company is 3:2. If there are 150 male employees, how many female employees are there?

A) 75 B) 100 C) 125 D) 150

31. Two numbers are in the ratio 3:7. If 8 is added to both numbers, the ratio becomes 5:9. Find the numbers.

A) 9 and 21 B) 12 and 28 C) 15 and 35 D) 18 and 42

32. The ratio of copper and zinc in an alloy is 3:2. If the weight of the alloy is 50 kg, what is the weight of copper?

A) 20 kg B) 25 kg C) 30 kg D) 35 kg

33. If a:b = 2:5 and a:c = 4:7, find b:c.

A) 5:7 B) 10:7 C) 5:14 D) 14:5

34. The ratio of the prices of two articles is 4:5. If the price of the first article is Rs. 200, what is the price of the second article?

A) Rs. 220 B) Rs. 240 C) Rs. 250 D) Rs. 260

35. If 12:18 = x:27, find x.

A) 18 B) 20 C) 22 D) 24

36. The ratio of the number of pages in two books is 7:11. If the second book has 132 pages, how many pages does the first book have?

A) 77 B) 84 C) 91 D) 99

37. In what ratio does the point (2, 3) divide the line segment joining the points (-1, -2) and (5, 8)?

A) 1:2 B) 2:1 C) 1:3 D) 3:1

38. The ratio of two numbers is 1:2. If 7 is subtracted from both numbers, the ratio becomes 2:5. Find the numbers.

A) 5 and 10 B) 7 and 14 C) 9 and 18 D) 11 and 22

39. If the ratio of angles of a triangle is 1:2:3, what is the measure of the largest angle?

A) 60 degrees B) 90 degrees C) 120 degrees D) 180 degrees

40. A sum of money is divided among P, Q, and R in the ratio 3:4:5. If P's share is Rs. 1500, what is R's share?

A) Rs. 2000 B) Rs. 2500 C) Rs. 3000 D) Rs. 3500

41. The ratio of the number of boys to girls in a group is 5:4. If there are 32 girls, how many boys are there?

A) 35 B) 38 C) 40 D) 42

42. If a:b = 1/2 : 1/3 and b:c = 1/3 : 1/4, find a:c.

A) 1:1 B) 2:1 C) 3:1 D) 4:1

43. The ratio of the speeds of two cars is 7:9. If the first car travels 210 km in 3 hours, what is the speed of the second car?

A) 70 km/hr B) 80 km/hr C) 90 km/hr D) 100 km/hr

44. What is the third proportional to 6 and 12?

A) 18 B) 24 C) 36 D) 48

45. The ratio of milk and water in a container is 5:2. If 5 liters of water are added, the ratio becomes 5:3. Find the initial quantity of milk.

A) 10 liters B) 15 liters C) 20 liters D) 25 liters

46. If 2x = 3y = 6z, find the ratio x:y:z.

A) 3:2:1 B) 6:3:2 C) 2:3:6 D) 1:2:3

47. The ratio of the areas of two squares is 9:16. What is the ratio of their perimeters?

A) 3:4 B) 9:16 C) 81:256 D) 4:3

48. A sum of Rs. 480 is divided among A, B, and C in the ratio 1/2 : 1/3 : 1/4. The share of B is:

A) Rs. 120 B) Rs. 160 C) Rs. 192 D) Rs. 224

49. The ratio of the ages of Ram and Rahim is 4:5. After 6 years, the ratio of their ages will be 6:7. Find their present ages.

A) Ram: 12 years, Rahim: 15 years B) Ram: 16 years, Rahim: 20 years C) Ram: 24 years, Rahim: 30 years D) Ram: 30 years, Rahim: 35 years

50. If the ratio of the number of boys and girls in a class is 3:5, and the total number of students is 40, what is the difference between the number of boys and girls?

A) 5 B) 8 C) 10 D) 15

Ratio and proportion problems. - Online Test

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