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 40 of 53
- 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: 37788. 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: 7790. 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- A. 4/11
- B. 1
- C. 2/33
- D. 19/66
Explanation: There are 12 socks, so the total number of pairs is C(12,2) = 66. Same-colour pairs are C(4,2) + C(3,2) + C(5,2) = 6 + 3 + 10 = 19, giving…
Correct answer: 19/66- A. 13/51
- B. 1/17
- C. 1/26
- D. 13/17
Explanation: The chance that the first card is a club is 13/52, and without replacement the chance that the second is a club is 12/51.
Correct answer: 1/17- A. 1/13
- B. 2/13
- C. 1/26
- D. 1/52
Explanation: There are two favourable cards, the queen of clubs and the king of hearts, out of 52 cards. Therefore the probability is 2/52 = 1/26.
Correct answer: 1/26- A. 1/26
- B. 3/52
- C. 15/26
- D. 11/26
Explanation: With replacement, the two draws are independent. The probability of a red first card is 26/52 = 1/2, and the probability of a king second…
Correct answer: 1/26- A. 1/6
- B. 5/8
- C. 3/8
- D. 5/6Pakistan Studies Quiz
Explanation: Use the complement: the probability of selecting no graduate is C(6,3) ÷ C(10,3) = 20 ÷ 120 = 1/6, because 6 of the 10 people are…
Correct answer: 5/6Pakistan Studies Quiz- A. 18/35
- B. 12/35
- C. 17/35
- D. 19/35
Explanation: They agree when both speak truth or both speak falsely. The probability is (3/5 x 4/7) + (2/5 x 3/7) = 12/35 + 6/35 = 18/35.
Correct answer: 18/35- A. 5/21
- B. 5/14
- C. 9/14
- D. 16/21
Explanation: There are C(10,5) = 252 ways to choose five people. For at least two couples, choose two couples in C(5,2) = 10 ways and one of the…
Correct answer: 5/21- A. 0.4869
- B. 0.5904
- C. 0.6234
- D. 0.5834
Explanation: It is easier to use the complement: the probability that none of the 4 tickets wins is 0.8 x 0.8 x 0.8 x 0.8 = 0.4096.
Correct answer: 0.5904- A. 1/10
- B. 9/10
- C. 1/5
- D. 3/10
Explanation: Treat the specified pair as one block. The block and the other 8 books can be arranged in 9!
Correct answer: 1/5- A. 0
- B. 1/7
- C. 2/7
- D. 5/7
Explanation: A leap year has 366 days = 52 weeks plus 2 extra days, so exactly two consecutive weekdays occur 53 times.
Correct answer: 1/7