AllInfoHub – MCQ Practice

Ratio and Proportion – Multiple Choice Questions (MCQs)

25. The ratio of the number of students in three classes is 2:3:5. If 20 students are added to each class, the ratio becomes 4:5:7. Find the total number of students in the beginning.
- A. 100
- B. 150
- C. 200
- D. 250
26. What number should be added to each of the numbers 6, 15, 20, and 43 so that they are in proportion?
- A. 2
- B. 3
- C. 4
- D. 5
27. If p:q:r = 2:3:4 and p+q+r = 27, then find the value of r.
- A. 6
- B. 9
- C. 12
- D. 15
28. The ratio of the speeds of two trains is 5:7. If the second train runs 245 km in 5 hours, what is the speed of the first train?
- A. 35 km/hr
- B. 49 km/hr
- C. 70 km/hr
- D. 125 km/hr
29. A mixture contains alcohol and water in the ratio 4:3. If 5 liters of alcohol is added to the mixture, the ratio becomes 5:3. Find the quantity of the original mixture.
- A. 35 liters
- B. 21 liters
- C. 28 liters
- D. 42 liters
30. If the cost of 5 kg of rice is ? 180, what is the cost of 8 kg of rice?
- A. ? 288
- B. ? 216
- C. ? 252
- D. ? 270
31. Two numbers are in the ratio 3:5. If their product is 2160, find the smaller number.
- A. 24
- B. 36
- C. 18
- D. 30
32. If A:B = 3:2 and B:C = 4:5, then A:B:C is:
- A. 6:04:05
- B. 3:02:05
- C. 6:04:10
- D. 12:08:10
33. The ratio of the length and breadth of a rectangle is 5:3. If the perimeter is 64 cm, find the length of the rectangle.
- A. 20 cm
- B. 24 cm
- C. 30 cm
- D. 40 cm
34. If x varies directly as the square of y, and x = 16 when y = 4, find x when y = 6.
- A. 36
- B. 48
- C. 72
- D. 144
35. ? 900 is divided among X, Y, and Z such that X gets twice as much as Y and Y gets thrice as much as Z. What is Z's share?
- A. ? 50
- B. ? 100
- C. ? 150
- D. ? 200
36. The ratio of the volumes of two cubes is 8:27. What is the ratio of their surface areas?
- A. 4:9
- B. 2:3
- C. 76:09:00
- D. 8:27

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Ratio and Proportion – Multiple Choice Questions (MCQs)

25. The ratio of the number of students in three classes is 2:3:5. If 20 students are added to each class, the ratio becomes 4:5:7. Find the total number of students in the beginning.

26. What number should be added to each of the numbers 6, 15, 20, and 43 so that they are in proportion?

27. If p:q:r = 2:3:4 and p+q+r = 27, then find the value of r.

28. The ratio of the speeds of two trains is 5:7. If the second train runs 245 km in 5 hours, what is the speed of the first train?

29. A mixture contains alcohol and water in the ratio 4:3. If 5 liters of alcohol is added to the mixture, the ratio becomes 5:3. Find the quantity of the original mixture.

30. If the cost of 5 kg of rice is ? 180, what is the cost of 8 kg of rice?

31. Two numbers are in the ratio 3:5. If their product is 2160, find the smaller number.

32. If A:B = 3:2 and B:C = 4:5, then A:B:C is:

33. The ratio of the length and breadth of a rectangle is 5:3. If the perimeter is 64 cm, find the length of the rectangle.

34. If x varies directly as the square of y, and x = 16 when y = 4, find x when y = 6.

35. ? 900 is divided among X, Y, and Z such that X gets twice as much as Y and Y gets thrice as much as Z. What is Z's share?

36. The ratio of the volumes of two cubes is 8:27. What is the ratio of their surface areas?

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