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 38 of 53
- A. 9930
- B. 9903
- C. 9935
- D. 9936
Explanation: The greatest four-digit multiple of 144 is obtained from 144 x 69 = 9936; the next multiple, 144 x 70 = 10080, has five digits.
Correct answer: 9936- A. 1080
- B. 1085
- C. 1075
- D. 1095
Explanation: The least common multiple of 4, 6, 8 and 10 is 120, since 120 is the smallest number divisible by all four.
Correct answer: 1080- A. 90730
- B. 90725
- C. 90715
- D. 90720
Explanation: The LCM of 32, 36, 40, 42 and 48 is 2^5 x 3^2 x 5 x 7 = 10080. The greatest five-digit multiple is 10080 x 9 = 90720, because 10080 x 10 =…
Correct answer: 90720- A. (36,60)
- B. (12,180)
- C. (96,25)
- D. (72,30)
Explanation: For 36 and 60, the product is 36 x 60 = 2160 and their HCF is 12, since both divide by 12 but have no larger common divisor.
Correct answer: (36,60)- A. 246 seconds
- B. 242 seconds
- C. 240 seconds
- D. 243 seconds
Explanation: The bells toll together after the LCM of their intervals: LCM(8, 10, 12, 16) = 2^4 x 3 x 5 = 240 seconds.
Correct answer: 240 seconds- A. 71
- B. 70
- C. 69
- D. 68
Explanation: The LCM of 8, 12 and 18 is 2^3 x 3^2 = 72. Therefore the least intended number is 72 - 3 = 69, because adding 3 gives 72, which is…
Correct answer: 69- A. 982
- B. 893
- C. 1024
- D. 995
Explanation: Test the congruences for 995: 995 = 16 x 62 + 3, 995 = 18 x 55 + 5, and 995 = 21 x 47 + 8.
Correct answer: 995- A. 2040
- B. 2010
- C. 135
- D. 150
Explanation: For two positive integers, product = HCF x LCM. Therefore LCM = 2025 / 15 = 135.
Correct answer: 135- A. 34
- B. 17
- C. 85
- D. 204
Explanation: Using the Euclidean algorithm, gcd(204, 1190) = gcd(204, 170) = 34, and gcd(34, 1445) = 17. Therefore the HCF of all three numbers is 17.
Correct answer: 17- A. 1
- B. 2
- C. 3
- D. 4
Explanation: The common factors are found successively: gcd(12, 16) = 4, gcd(4, 18) = 2, and gcd(2, 24) = 2. Thus the HCF is 2.
Correct answer: 2- 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