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 12 of 15
- A. 2/47
- B. 3/47
- C. 1/48
- D. 5/48
Explanation: For fractions, HCF = HCF of the numerators divided by LCM of the denominators. Thus HCF(3, 5, 7) / LCM(16, 12, 8) = 1/48.
Correct answer: 1/48- A. 10/7
- B. 10
- C. 10/11
- D. 11/10
Explanation: For positive fractions, LCM = LCM of the numerators divided by HCF of the denominators.
Correct answer: 10- A. 10670
- B. 106470
- C. 104670
- D. 107470
Explanation: Factor the numbers: 455 = 5 x 7 x 13, 117 = 3^2 x 13, and 338 = 2 x 13^2. Their LCM is 2 x 3^2 x 5 x 7 x 13^2 = 106470.
Correct answer: 106470- A. 1305
- B. 435
- C. 875
- D. 48
Explanation: Since 87 = 3 x 29 and 145 = 5 x 29, their HCF is 29 and their LCM is 3 x 5 x 29 = 435. Equivalently, 87 x 145 / 29 = 435.
Correct answer: 435- A. 85
- B. 89
- C. 54
- D. 91Election Officer Mcqs
Explanation: Write 18 = 2 x 3^2 and 27 = 3^3. Taking the highest power of each prime gives LCM = 2 x 3^3 = 54.
Correct answer: 54- A. 46
- B. 138
- C. 69
- D. 23
Explanation: Let the numbers be x and 6x because their ratio is 1:6. Their GCD is x and their LCM is 6x, so 6x = 138, giving x = 23 and the larger…
Correct answer: 138- A. 108
- B. 96
- C. 72
- D. 36
Explanation: For two numbers, product = GCD x LCM, so their product is 8 x 144 = 1152. If one number is 16, the other is 1152 ÷ 16 = 72.
Correct answer: 72- A. 28
- B. 32
- C. 40
- D. 64
Explanation: Write the numbers as 2x and 3x. Their LCM is 6x, so 6x = 48, giving x = 8; their sum is 2 x 8 + 3 x 8 = 40.
Correct answer: 40- A. 99
- B. 101
- C. 176
- D. 182
Explanation: Use prime factorisation and the divisor formula. 99 = 3^2 x 11 has 3 x 2 = 6 divisors, 101 has 2, 176 = 2^4 x 11 has 5 x 2 = 10, and 182 =…
Correct answer: 176- A. 123
- B. 127
- C. 235
- D. 305
Explanation: Subtract each remainder from its number: 1657 - 6 = 1651 and 2037 - 5 = 2032.
Correct answer: 127- A. 26 min 18 sec
- B. 42 min 36 sec
- C. 45 min
- D. 46 min 12 sec
Explanation: They return to the starting point together after the LCM of their lap times.
Correct answer: 46 min 12 sec- A. 3
- B. 13
- C. 23
- D. 33
Explanation: The required sum must be divisible by LCM(5, 6, 4, 3) = 60. Since 2497 = 60 x 41 + 37, the least addition is 60 - 37 = 23, giving 2520…
Correct answer: 23- A. 30/7
- B. 30/98
- C. 60/147
- D. 50/294
Explanation: For the standard least-common-multiple interpretation of fractions, 30/7 works because (30/7) ÷ (6/7) = 5, (30/7) ÷ (5/14) = 12, and…
Correct answer: 30/7234. What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?
- A. 196
- B. 630
- C. 1260
- D. 2520Election Officer Mcqs
Explanation: First find LCM(12, 18, 21, 30) = 1260. If the number is n, then 2n must equal the least such common multiple, so 2n = 1260 and n = 630.
Correct answer: 630- A. 7/8
- B. 13/16
- C. 31/40
- D. 63/80
Explanation: Convert the fractions to a common denominator of 80: 7/8 = 70/80, 13/16 = 65/80, 31/40 = 62/80, and 63/80 remains 63/80.
Correct answer: 7/8- A. 276
- B. 299
- C. 322
- D. 345
Explanation: If the HCF is 23 and the other factors of the LCM are 13 and 14, the two numbers are 23 x 13 = 299 and 23 x 14 = 322.
Correct answer: 322- A. 24
- B. 48
- C. 56
- D. 60
Explanation: The HCF must always divide the LCM, because every common divisor is a factor of every common multiple.
Correct answer: 60- A. 1
- B. 117
- C. equal to their H.C.F
- D. Cannot be calculated
Explanation: For coprime numbers, the HCF is 1, so their LCM equals their product. Hence the LCM is 117, since the product is 117.
Correct answer: 117- A. 55/601
- B. 601/55
- C. 11/120
- D. 120/11
Explanation: The product of two numbers equals their HCF x LCM = 5 x 120 = 600. Therefore the sum of their reciprocals is (sum of numbers) ÷ (product)…
Correct answer: 11/120- A. 279
- B. 283
- C. 308
- D. 318
Explanation: Using product = HCF x LCM, the product of the two numbers is 11 x 7700 = 84700.
Correct answer: 308