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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 3 of 53

41. The average of first five multiples of 3 is____________?

  • A. 3
  • B. 9
  • C. 12
  • D. 15

Explanation: The first five multiples of 3 are 3, 6, 9, 12 and 15. Their sum is 45, and their average is 45 / 5 = 9.

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Correct answer: 9

42. Find the average of all the numbers between 6 and 34 which are divisible by 5.

  • A. 18
  • B. 20
  • C. 24
  • D. 30

Explanation: The numbers divisible by 5 between 6 and 34 are 10, 15, 20, 25 and 30. Their average is (10 + 15 + 20 + 25 + 30) / 5 = 100 / 5 = 20.

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Correct answer: 20

43. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

  • A. 0
  • B. 1
  • C. 10
  • D. 19

Explanation: If 19 numbers are greater than 0, the twentieth number can be negative enough to make the total 0, so 19 is possible.

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Correct answer: 19

44. Sarfaraz obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?

  • A. 65
  • B. 69
  • C. 72
  • D. None of these

Explanation: The total marks are 76 + 65 + 82 + 67 + 85 = 375 marks. The average is 375 marks / 5 subjects = 75 marks, which is not listed in options…

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Correct answer: None of these

45. The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?

  • A. 21
  • B. 22
  • C. 23
  • D. 24

Explanation: If the initial group had n persons, its total weight was 48n kilograms.

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Correct answer: 23

46. The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathematics and Chemistry together.

  • A. 40
  • B. 30
  • C. 25
  • D. Data inadequate

Explanation: Let the Physics marks be P and the Chemistry marks be P + 20 marks. Since Mathematics marks plus Physics marks equal 60 marks, Mathematics…

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Correct answer: 40

47. Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?

  • A. 55 years
  • B. 56 years
  • C. 58 years
  • D. Data inadequate

Explanation: Five years ago, A and B together were 2 × 40 = 80 years old, so now their combined age is 90 years.

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Correct answer: Data inadequate

48. Aftab bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?

  • A. Rs.20
  • B. Rs.18
  • C. Rs.22
  • D. Rs.16

Explanation: The total cost is 1150 rupees + 920 rupees = 2070 rupees, and the total number of books is 65 books + 50 books = 115 books.

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Correct answer: Rs.18

49. The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is __________ .

  • A. 149
  • B. 151
  • C. 152
  • D. 153

Explanation: The original total height was 50 pupils × 150 centimetres = 7500 centimetres.

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Correct answer: 151

50. In an exam, Amir scored 64 percent, Masood scored 36 percent and asif 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?

  • A. 384
  • B. 364
  • C. 324
  • D. 404

Explanation: The three scores are 64% of 800 marks = 512 marks, 36% of 800 marks = 288 marks, and 44% of 800 marks = 352 marks.

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Correct answer: 384

51. The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.

  • A. 20
  • B. 15
  • C. 25
  • D. 35

Explanation: Let n be the original number of students. The original total is 80n marks, while the five excluded students contributed 5 × 40 = 200…

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Correct answer: 25

52. A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?

  • A. 60
  • B. 64
  • C. 72
  • D. 80

Explanation: The three-subject total is 3 × 80 = 240 marks. Physics plus Mathematics is 2 × 90 = 180 marks, while Physics plus Chemistry is 2 × 70 =…

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Correct answer: 80

53. The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?

  • A. 58
  • B. 86
  • C. 49
  • D. None of these

Explanation: The total of the four integers is 4 × 69 = 276. After subtracting the highest and least integers, the remaining two have total 276 - 93 -…

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Correct answer: 86

54. The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?

  • A. 75
  • B. 150
  • C. 50
  • D. None of these

Explanation: Let the Physics marks be P, Chemistry marks be C and Mathematics marks be M.

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Correct answer: 75

55. The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places)?

  • A. 179.29 cm
  • B. 178.29 cm
  • C. 179.38 cm
  • D. 178.39 cm

Explanation: The recorded total was 35 boys × 180 centimetres = 6300 centimetres. The incorrect height of 166 centimetres must be replaced by 106…

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Correct answer: 178.29 cm

56. The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?

  • A. 30 Years
  • B. 31 years
  • C. 26 years
  • D. 33 years

Explanation: The total age of seven persons is 7 × 28 = 196 years. The first three contribute 3 × 21 = 63 years and the last three contribute 3 × 34 =…

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Correct answer: 31 years

57. The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?

  • A. 31
  • B. 29
  • C. 28
  • D. 30

Explanation: In the first 20 matches, the batsman scored 20 × 40 = 800 runs. In the next 10 matches, he scored 10 × 13 = 130 runs, making 930 runs in…

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Correct answer: 31

58. The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally?

  • A. 4
  • B. 5
  • C. 6
  • D. 7

Explanation: If the original number of boys is n, their total weight is 30n kg. After the 35 kg boy joins, the total is 30n + 35 kg and the average is…

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Correct answer: 4

59. A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?

  • A. 6060
  • B. 7070
  • C. 5550
  • D. 4440

Explanation: The monthly production forms an arithmetic sequence: January is 5000 tonnes and December is 5000 + 11 x 100 = 6100 tonnes.

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Correct answer: 5550

60. The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?

  • A. Rs. 25
  • B. Rs. 18
  • C. Rs. 15
  • D. Rs. 22

Explanation: After the new member joins, seven members have an average of Rs. 20, so their total amount is 7 x Rs. 20 = Rs. 140.

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Correct answer: Rs. 15
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