AllInfoHub – MCQ Practice

Ratio and Proportion – Multiple Choice Questions (MCQs)

37. If a:b = 2:5, then (3a + 2b) : (2a + 5b) is equal to:
- A. 16:29
- B. 8:25
- C. 6:25
- D. 16:15
38. A mixture of 45 liters contains milk and water in the ratio 4:1. How much water must be added to make the ratio 3:2?
- A. 10 liters
- B. 15 liters
- C. 20 liters
- D. 25 liters
39. The ratio of the ages of a father and his son is 7:2. After 10 years, the ratio of their ages will be 9:4. Find the present age of the father.
- A. 35 years
- B. 40 years
- C. 45 years
- D. 50 years
40. If the cost of a dozen bananas is ? 36, what is the cost of 5 bananas?
- A. ? 12
- B. ? 15
- C. ? 18
- D. ? 20
41. Find the mean proportional between 0.04 and 0.36.
- A. 0.12
- B. 0.0144
- C. 0.4
- D. 0.16
42. If x:y = 3:4, then find the value of (4x + 5y) : (5x - 2y).
- A. 32:7
- B. 12:15
- C. 20:11
- D. 7:32
43. The ratio of the number of boys to the number of girls in a class is 5:3. If there are 16 more boys than girls, what is the total number of students in the class?
- A. 40
- B. 24
- C. 64
- D. 32
44. What must be subtracted from each of the numbers 17, 25, 47, and 71 so that the remainders are in proportion?
- A. 1
- B. 2
- C. 3
- D. 4
45. If a/3 = b/4 = c/7, then find the value of (a + b + c) / c.
- A. 2
- B. 7/3
- C. 14/7
- D. 3
46. The ratio of the incomes of two persons is 9:7 and the ratio of their expenditures is 4:3. If each of them saves ? 2000 per month, find their monthly incomes.
- A. ? 18000 and ? 14000
- B. ? 9000 and ? 7000
- C. ? 27000 and ? 21000
- D. ? 36000 and ? 28000
47. If p varies directly as q and inversely as r, and p = 6 when q = 2 and r = 3, find p when q = 4 and r = 9.
- A. 4
- B. 8
- C. 12
- D. 16
48. A goldsmith has two qualities of gold, one of 16 carats and another of 24 carats purity. In what ratio should he mix the two to make an ornament of 20 carats purity?
- A. 2:1
- B. 1:2
- C. 3:1
- D. 1:3

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Ratio and Proportion – Multiple Choice Questions (MCQs)

37. If a:b = 2:5, then (3a + 2b) : (2a + 5b) is equal to:

38. A mixture of 45 liters contains milk and water in the ratio 4:1. How much water must be added to make the ratio 3:2?

39. The ratio of the ages of a father and his son is 7:2. After 10 years, the ratio of their ages will be 9:4. Find the present age of the father.

40. If the cost of a dozen bananas is ? 36, what is the cost of 5 bananas?

41. Find the mean proportional between 0.04 and 0.36.

42. If x:y = 3:4, then find the value of (4x + 5y) : (5x - 2y).

43. The ratio of the number of boys to the number of girls in a class is 5:3. If there are 16 more boys than girls, what is the total number of students in the class?

44. What must be subtracted from each of the numbers 17, 25, 47, and 71 so that the remainders are in proportion?

45. If a/3 = b/4 = c/7, then find the value of (a + b + c) / c.

46. The ratio of the incomes of two persons is 9:7 and the ratio of their expenditures is 4:3. If each of them saves ? 2000 per month, find their monthly incomes.

47. If p varies directly as q and inversely as r, and p = 6 when q = 2 and r = 3, find p when q = 4 and r = 9.

48. A goldsmith has two qualities of gold, one of 16 carats and another of 24 carats purity. In what ratio should he mix the two to make an ornament of 20 carats purity?

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