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 13 of 15
- A. 40
- B. 80
- C. 120
- D. 200
Explanation: Write the numbers as 3x, 4x and 5x. Since 3, 4 and 5 are pairwise coprime, their LCM is 3 x 4 x 5 x = 60x; hence 60x = 2400, so x = 40.
Correct answer: 40242. The L.C.M of two numbers is 48. The numbers are in the ratio 2:3. The sum of numbers is__________?
- A. 28
- B. 32
- C. 40
- D. 64Islamic Studies Quiz
Explanation: Let the numbers be 2x and 3x. Their LCM is 6x, so 6x = 48 gives x = 8; the sum is 2 x 8 + 3 x 8 = 40.
Correct answer: 40- A. 75
- B. 81
- C. 85
- D. 89
Explanation: Since 551 = 19 x 29 and 1073 = 29 x 37, the common middle number is 29.
Correct answer: 85244. The product of two numbers is 2028 and their H.C.F is 13. The number of such pairs is__________?
- A. 1
- B. 2
- C. 3
- D. 4
Explanation: If the H.C.F. is 13, write the numbers as 13a and 13b, where a and b are co-prime. Then 13a x 13b = 2028, so ab = 2028/169 = 12.
Correct answer: 2- A. 101
- B. 107
- C. 111
- D. 185
Explanation: Write the numbers as 37a and 37b because their H.C.F. is 37. Then ab = 4107/(37 x 37) = 3, so the co-prime factors are 1 and 3, giving…
Correct answer: 111- A. 4
- B. 6
- C. 8
- D. 12
Explanation: Let the numbers be 33a and 33b. Then a + b = 528/33 = 16, and a and b must be co-prime because the H.C.F. is exactly 33.
Correct answer: 4- A. 12
- B. 16
- C. 24
- D. 48
Explanation: The numbers are 3k and 4k, and because 3 and 4 are co-prime, their H.C.F. is k.
Correct answer: 48- A. 4, 8, 12
- B. 5, 10, 15
- C. 10, 20, 30
- D. 12, 24, 36
Explanation: The ratio 1:2:3 has H.C.F. 1, so multiplying every term by 12 gives numbers 12, 24 and 36. Their H.C.F. is 12, as required.
Correct answer: 12, 24, 36- A. 22 * 35 * 72
- B. 22 * 53 * 72
- C. 25 * 52 * 72
- D. 23 * 35 * 72
Explanation: Using the superscript notation, the required L.C.M. is 2^4 x 3^5 x 5^2 x 7^2.
Correct answer: 22 * 35 * 72- A. 0.03
- B. 0.9
- C. 0.18
- D. 0.108
Explanation: Remove the decimals by multiplying all numbers by 100: 108, 36 and 90. Their H.C.F. is 18, so the decimal H.C.F. is 18/100 = 0.18.
Correct answer: 0.18- A. 120
- B. 240
- C. 360
- D. 480
Explanation: Prime factors are 24 = 2^3 x 3, 36 = 2^2 x 3^2 and 40 = 2^3 x 5. The L.C.M.
Correct answer: 360- A. 4
- B. 6
- C. 12
- D. 18Education
Explanation: The factors common to 36 and 84 include 1, 2, 3, 4, 6 and 12, with 12 being the greatest.
Correct answer: 12- A. 180
- B. 360
- C. 540
- D. 1260
Explanation: The three numbers have prime factors 2^2 x 3^3 x 5^5, 2^3 x 3^2 x 5^2 x 7, and 2^4 x 3^4 x 5 x 11 x 7^2.
Correct answer: 180- A. 13/16
- B. 15/16
- C. 17/26
- D. 25/26
Explanation: Factorising gives 1095 = 3 x 5 x 73 and 1168 = 16 x 73, so their common factor is 73.
Correct answer: 15/16- A. 99
- B. 101
- C. 176
- D. 182
Explanation: For n = p^a x q^b, the number of divisors is (a + 1)(b + 1). Thus 99 = 3^2 x 11 has 6 divisors, 101 has 2, 176 = 2^4 x 11 has 10, and 182…
Correct answer: 176- A. 2 * 2 * 3 * 3 * 7
- B. 2 * 2 * 2 * 3 * 7
- C. 3 * 3 * 3 * 3 * 7
- D. 2 * 3 * 3 * 3 * 7
Explanation: Divide 252 successively by its prime factors: 252 = 2 x 126 = 2 x 2 x 63 = 2 x 2 x 3 x 3 x 7.
Correct answer: 2 * 2 * 3 * 3 * 7- A. 35
- B. 37
- C. 42
- D. 30
Explanation: The largest equal can size is the H.C.F. of 80, 144 and 368: H.C.F.(80,144,368) = 16 litres.
Correct answer: 37258. Find the greatest number which, while dividing 19, 83 and 67, gives a remainder of 3 in each case?
- A. 16
- B. 17
- C. 18
- D. 19
Explanation: A divisor that leaves remainder 3 must divide 19 - 3 = 16, 83 - 3 = 80 and 67 - 3 = 64.
Correct answer: 16- A. 5
- B. 6
- C. 7
- D. 8
Explanation: The greatest number that divides all three numbers exactly is their H.C.F.
Correct answer: 7260. Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?
- A. 1020
- B. 1026
- C. 1030
- D. 1022Everyday Science Quiz
Explanation: The number must be 2 more than a common multiple of 3, 4 and 5. Their L.C.M.
Correct answer: 1022Everyday Science Quiz