Free Arithmetic MCQs with Answers
1,060 Arithmetic MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Arithmetic applies numerical operations to percentages, ratios, proportions, profit and loss, averages, and practical rate problems. Questions also involve time, speed and distance, and time and work, requiring careful use of units, direct and inverse relationships, weighted values, and work-rate methods rather than algebraic manipulation.
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1,060 questions · page 39 of 53
- 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: 30/7764. 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- 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: 40772. 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: 85774. 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