Free Ratio and Proportion MCQs with Answers

• A. 150 1/3
• B. 150 2/3
• C. 149 2/3
• D. 149 1/3

Explanation: Convert the mixed numbers: 6 2/3 = 20/3, 9 3/5 = 48/5, and 2 1/3 = 7/3.

• A. 60
• B. 120
• C. 13
• D. 61

Explanation: Use the order of operations: 180 / 3 = 60, then 5 x 12 / 60 = 1, so 60 + 1 = 61.

• A. 0.228
• B. 0.456
• C. 0.684
• D. 1.0

Explanation: Apply the difference of squares: 0.456² - 0.228² = (0.456 - 0.228)(0.456 + 0.228).

• A. 1
• B. 2
• C. 3
• D. 5

Explanation: Interpret 1 1/3 as 4/3 and 3 ?/4 as 3 + ?/4. Then 8/15 ÷ 4/3 = 2/5, so (2/5)(3 + ?/4) = 1.5 = 3/2; hence 3 + ?/4 = 15/4 and ? = 3.

• A. 12
• B. 14
• C. 16
• D. 18

Explanation: Calculate 79.98 / 12.51 x 2.49. The quotient is approximately 6.3917, and 6.3917 x 2.49 is approximately 15.91, which rounds to 16, option…

• A. 3180
• B. 3200
• C. 3120
• D. 3210

Explanation: Since 3584 = 256 x 14, √3584 = 16√14, which is approximately 59.87. Then 59.87 x 52.034 is approximately 3115, whose nearest listed value…

• A. 1580
• B. 1680
• C. 1780
• D. 1880

Explanation: Evaluate the quotient first: 58978 / 363.94 is approximately 162.05. Multiplying by 11.02 gives approximately 162.05 x 11.02 = 1785.8, so…

• A. 383
• B. 372
• C. 380
• D. 374

Explanation: Compute the product using 2.9928 = 3 - 0.0072: 2.9928 x 66.84 = 200.52 - 0.481248 = 200.038752.

• A. 1.4
• B. 1.6
• C. 1.5
• D. 1.2

Explanation: The numerator is (180/37) x 14.8 = 72 because 14.8/37 = 0.4. The denominator is (17/60.1) x 180.30 = 17 x 3 = 51, so the ratio is 72/51 =…

• A. 1109300
• B. 1109400
• C. 1108400
• D. 1108300

Explanation: Multiply 108 x 107 = 11556, then 11556 x 96 = 1,109,376. Rounding to the nearest hundred gives 1,109,400 because the tens digit is 7, so…

• A. 34
• B. 35
• C. 36
• D. 37

Explanation: Add the fractional parts and whole parts: 25 2/5 + 8 4/5 + 4/5 = 25 + 8 + (2/5 + 4/5 + 4/5) = 33 + 10/5 = 35. Thus option b is correct.

• A. 1
• B. 3/2
• C. 2
• D. 5/2

Explanation: The numerator is 64 + 9 + 9 = 82, while the denominator is 2 x 20 + 1 = 41. Therefore 82 / 41 = 2, giving option c.

• A. 1/20
• B. 1/5
• C. 4
• D. 10

Explanation: The numerator is 1.9 x 0.021 = 0.0399, while the denominator is 0.095 x 0.105 = 0.009975.

• A. 8/15, 9/13, 6/11
• B. 8/15, 6/11, 9/13
• C. 9/13, 6/11, 8/15
• D. 6/11, 8/15, 9/13

Explanation: Compare the fractions by converting them to decimals: 9/13 is about 0.6923, 6/11 is about 0.5455, and 8/15 is about 0.5333.

• A. 8.1375 * 104
• B. 2.4123 * 104
• C. 5.124 * 104
• D. 6.125 * 104

Explanation: The first term is (33/4) x 4500 = 37125. Therefore ? = 118500 - 37125 = 81375 = 8.1375 x 10^4, so option a is correct; option c likely…

• A. 14
• B. 14 1/2
• C. 14 3/4
• D. None of these

Explanation: Add the whole parts and fractional parts: 8 2/3 + 6 4/5 = 14 + 2/3 + 4/5.

• A. 121
• B. 1331
• C. 14641
• D. 2662

Explanation: Since 9261 = 21^3, the equation can be written as cube root of ? divided by 21^3 equals 11/21.

• A. 2466.462
• B. 2664.642
• C. 2464.462
• D. 2466.642

Explanation: Aligning decimal places, 2222.200 + 222.220 + 22.222 = 2466.642. Therefore option d matches the correctly added decimal parts.

• A. 18
• B. 22
• C. 24
• D. 26

Explanation: First calculate the product: 3/7 × 4/9 × 2/5 × 7560 = 576. Taking the square root gives √576 = 24.

• A. 1506
• B. 1606
• C. 1706
• D. 1496

Explanation: Subtract from left to right: 7394 - 1236 = 6158, and 6158 - 4652 = 1506. Thus option a matches the calculation.