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.
Last updated
293 questions · page 10 of 15
- A. 4334.04
- B. 4243.04
- C. 4343.04
- D. 4433.04
Explanation: First multiply 31.2 × 14.5 = 452.4. Then 452.4 × 9.6 = 4343.04, so option c is correct.
Correct answer: 4343.04- A. 36
- B. 144
- C. 288
- D. 72Computer Online Quiz
Explanation: The denominator is 24 × 0.75 = 18. Therefore 1296 ÷ 18 = 72. The likely mistake is 36, which comes from dividing by 36 after treating 0.75…
Correct answer: 72Computer Online Quiz- A. 651
- B. 361
- C. 100
- D. 95
Explanation: Approximate the radicals: cube root of 216400 is about 60.05, √280 is about 16.73, and √322 is about 17.94.
Correct answer: 95- A. 0.1
- B. 0.2
- C. 0.3
- D. 0.4
Explanation: Square the decimals first: 0.9 × 0.9 = 0.81 and 0.8 × 0.8 = 0.64. Their difference is 0.17, and 0.17 ÷ 1.7 = 0.1, so option a is correct.
Correct answer: 0.1- A. 182/3
- B. 1831/54
- C. 18
- D. 201/2
Explanation: Treating the terms as mixed numbers, use denominator 54: 12 13/18 = 687/54, 16 11/27 = 886/54, and 10 5/9 = 570/54.
Correct answer: 1831/54- A. 3
- B. 2
- C. 4
- D. 6Enrolling In Online Certification Courses
Explanation: Multiplication and division have equal priority, so work from left to right: 5 x 5 ÷ 5 + 5 ÷ 5 = 25 ÷ 5 + 1 = 5 + 1 = 6.
Correct answer: 6Enrolling In Online Certification Courses- A. 12
- B. 18
- C. 20
- D. 30
Explanation: Evaluate multiplication and division from left to right: 36 x 48 ÷ 64 = 36 x 3/4 = 27, and 36 ÷ 12 = 3.
Correct answer: 30- A. 20
- B. 8
- C. 10
- D. 15
Explanation: Interpret the radical as √(144/121) = 12/11. Since 2/3 + 1/4 = 11/12, their product is 1; the braces then give 4 x (1 + 23) ÷ 12 + 5 = 8 +…
Correct answer: 20- A. 9/8
- B. 3/10
- C. 3/5
- D. 3/8
Explanation: Apply multiplication before addition and subtraction: the numerator is 6 - (2 x 3) + 6 = 6, and the denominator is 2 + (6 x 3) - 4 = 16.
Correct answer: 3/8- A. 4 9/11
- B. 37
- C. 47
- D. 74
Explanation: Convert the mixed numbers: 5 1/2 = 11/2 and 7 5/6 = 47/6. Then 2/3 x 11/2 x 2 x 47/6 x 9/11 simplifies by cancellation to 47, so option c…
Correct answer: 47- A. 3 9/13
- B. 1 9/11
- C. 2 11/72
- D. None of these
Explanation: Convert the mixed numbers and use denominator 72: 3 7/8 - 2 1/3 + 1 7/9 = 31/8 - 7/3 + 16/9 = 239/72.
Correct answer: None of these- A. x = 4, y = 8
- B. x = 4, y = 4
- C. x = 2, y = 4
- D. x = 8, y = 4
Explanation: Test the mixed-number equation using the proposed values x = 8 and y = 4: (3 + 1/8)(4 + 2/5) = 25/8 x 22/5 = 550/40 = 55/4 = 13 3/4.
Correct answer: x = 8, y = 4- A. 3
- B. 11
- C. 13
- D. None of these
Explanation: The sum is 461 + 462 + 463 + 464 = 1850. It is not divisible by 3 because its digit sum is 14, not by 11 because 11 x 168 = 1848, and not…
Correct answer: None of these- A. 100
- B. 300
- C. 90,000
- D. 10,000Fun & Trivia
Explanation: Evaluate the division from left to right: 84 ÷ 14 ÷ 2 ÷ 9 = 6 ÷ 2 ÷ 9 = 3 ÷ 9 = 1/3. Therefore (1/3) × ? = 33 1/3 = 100/3, so ?
Correct answer: 100- A. 480m
- B. 320m
- C. 400m
- D. 450m
Explanation: Let the length and breadth be 3k metres and 2k metres. Their difference is k metres, and it is given as 40 metres, so k = 40 metres; the…
Correct answer: 400m- A. 50%
- B. 60%
- C. 40%
- D. 64%
Explanation: Areas of circles are proportional to the squares of their radii, so the area ratio is 3²:5² = 9:25.
Correct answer: 64%- A. 1:3
- B. 1:6
- C. 1:9
- D. 1:5
Explanation: Circle area varies as the square of radius. Squaring the radius ratio 1:3 gives areas 1²:3² = 1:9.
Correct answer: 1:9- A. 101
- B. 103
- C. 107
- D. 113
Explanation: If two numbers leave the same remainder, their difference must be exactly divisible by the required divisor.
Correct answer: 103- A. 17
- B. 29
- C. 23
- D. 31
Explanation: 7429 = 17 x 19 x 23, so these are the first three primes. Since 12673 = 19 x 23 x 29, the fourth prime is 12673 ÷ (19 x 23) = 29.
Correct answer: 29- A. 50
- B. 36
- C. 24
- D. 12
Explanation: The largest equal box capacity is the HCF of the three quantities because each quantity must be divided into whole boxes without mixing.
Correct answer: 12