Free Ratio and Proportion MCQs with Answers
293 Ratio and Proportion MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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293 questions · page 5 of 15
- A. 8:15:30
- B. 5:18:28
- C. 4:5:6
- D. 2:3:5
Explanation: Profit is divided according to capital multiplied by investment time. Thus the ratio is (2 × 4):(3 × 5):(5 × 6) = 8:15:30.
Correct answer: 8:15:30- A. 160
- B. 200
- C. 250
- D. 240
Explanation: Let the numbers of 50-paise, 1-rupee and 2-rupee coins be 2k, 5k and 8k. Their value is Rs. (0.50 × 2k) + (1 × 5k) + (2 × 8k) = Rs.
Correct answer: 240- A. 2
- B. 3
- C. 5
- D. 6
Explanation: Initially, X:Y:Z = 2:3:4 and X = 4, so one ratio unit is 2 and the initial values are Y = 6 and Z = 8.
Correct answer: 2- A. 9
- B. 15
- C. 25
- D. 50
Explanation: The mean proportion between 5 and 45 is their geometric mean, √(5 × 45) = √225 = 15.
Correct answer: 15- A. 2:3:5
- B. 8:12:15
- C. 2:8:5
- D. 2:7:5
Explanation: Make the common term Y equal in both ratios: X:Y = 2:3 becomes 8:12, and Y:Z = 4:5 becomes 12:15. Therefore, X:Y:Z = 8:12:15.
Correct answer: 8:12:15- A. 15
- B. 10
- C. 8
- D. 5
Explanation: Let a = 3k and b = 5k. After adding 2 to each number, (3k + 2):(5k + 2) = 2:3, so 3(3k + 2) = 2(5k + 2), giving 9k + 6 = 10k + 4 and k =…
Correct answer: 10- A. 1/3
- B. 7/9
- C. 5/12
- D. None of these
Explanation: Multiply the linked ratios: M:P = (M:N) × (N:O) × (O:P) = (3/4) × (5/7) × (7/9) = 15/36 = 5/12.
Correct answer: 5/12- A. 45 cm
- B. 40 cm
- C. 36 cm
- D. 27 cm
Explanation: The ratio has 4 + 3 + 2 = 9 parts, so each part is 81 cm ÷ 9 = 9 cm. The largest side is 4 parts, giving 4 × 9 cm = 36 cm.
Correct answer: 36 cm- A. 96
- B. 68
- C. 72
- D. 108
Explanation: Let the original numbers be 11k boys and 13k girls. After the additions, (11k + 4):(13k + 8) = 4:5, so 5(11k + 4) = 4(13k + 8), giving k =…
Correct answer: 108- A. 48
- B. 42
- C. 60
- D. 70
Explanation: The total ratio parts are 7 + 8 = 15, so one part represents 90 students ÷ 15 = 6 students. Boys = 7 × 6 students = 42 students.
Correct answer: 42- A. 66
- B. 48
- C. 24
- D. 8
Explanation: Let the coin counts be 3k, 5k and 4k. Their total value is 1(3k) + 2(5k) + 5(4k) rupees = 33k rupees, so 33k = Rs.264 and k = 8; the…
Correct answer: 24- A. Rs.1200,Rs.800
- B. Rs.800,Rs.1200
- C. Rs.1500,Rs.500
- D. Rs.1100, Rs.900
Explanation: The ratio contains 3 + 2 = 5 parts, so each part is Rs.2000 ÷ 5 = Rs.400. The two shares are 3 × Rs.400 = Rs.1200 and 2 × Rs.400 = Rs.800.
Correct answer: Rs.1200,Rs.800- A. 30, 19
- B. 21, 37
- C. 15, 34
- D. 15, 27Enrolling In Online Certification Courses
Explanation: Let the numbers be 5k and 9k. After decreasing each by 5, (5k − 5):(9k − 5) = 5:11, so 11(5k − 5) = 5(9k − 5), giving k = 3 and numbers 15…
Correct answer: 15, 27Enrolling In Online Certification Courses- A. 8.96
- B. 8
- C. 4.5
- D. 6.2
Explanation: If c is the third proportional to 3.5 and 5.6, then 3.5:5.6 = 5.6:c, so c = 5.6² ÷ 3.5 = 31.36 ÷ 3.5 = 8.96.
Correct answer: 8.96- A. 360
- B. 380
- C. 375
- D. 400
Explanation: The flour-to-sugar ratio is 400 g:500 g = 4:5. For 300 g of flour, the sugar needed is 300 g × 5/4 = 375 g.
Correct answer: 375- A. 32:35
- B. 67:56
- C. 5:14
- D. 5:7
Explanation: Make the two expressions for Y equal: X:Y = 5:8 and Y:Z = 4:7, so multiply the second ratio by 2 to get Y:Z = 8:14.
Correct answer: 5:14- A. 3:1
- B. 4:1
- C. 3:4
- D. 4:3
Explanation: By alligation, the quantities of Rs.13 rice and Rs.19 rice are in the ratio (19 − 14.2):(14.2 − 13) = 4.8:1.2 = 4:1.
Correct answer: 4:1- A. Rs.100
- B. Rs.700
- C. Rs.1600
- D. Rs.2000
Explanation: A and D differ by 7 − 2 = 5 ratio parts, and this difference is Rs.500, so one part is Rs.500 ÷ 5 = Rs.100.
Correct answer: Rs.1600- A. 18
- B. 15
- C. 12
- D. 5
Explanation: Interpret the proportion as 2x:25 = 6:(x/3), giving 2x/25 = 6/(x/3) = 18/x. Hence 2x² = 450, so x² = 225 and the positive value is x = 15.
Correct answer: 15- A. 1:2
- B. 3:5
- C. 1:3
- D. 3:4
Explanation: For a ratio a:b and total 72, the sum of ratio parts must divide 72. Ratios 1:2, 3:5 and 1:3 give integer pairs, but 3:4 has 7 parts and…
Correct answer: 3:4