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arithmetic MCQs

Practise focused arithmetic questions with marked answers for exam preparation and subject revision.

arithmetic Mcqs
1. The average age of M boys is b years and of n girls c years. The average age of all together is_________?
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A. (mb + nc)/ (m n) years

B. (mb nc)/ (m n) years

C. (mb + nc)/ (m + n) years

D. (mb nc)/ (m + n) years

2. Masood purchased a plot for Rs. 8,000. He sells the plot to Aftab at a profit of 20%. Aftab in turn sells that plot to Zahid at a loss of 20%. The plot costs Zahid ?
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A. sp;

3. The average of first 10 odd numbers is_____________?
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A. 17

B. 10

C. 12

D. 11

4. In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
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A. Rs.5000

B. Rs.4600

C. Rs.2300

D. Rs.5400
5. The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
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A. 24 years

B. 36 years

C. 30 years

D. 18 years

6. The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
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A. 5

B. 2

C. 6

D. 8

7. The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
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A. 400

B. 550

C. 250

D. 275

8. A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
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A. 625

B. 632

C. 665

D. 656

9. The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
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A. 9

B. 6

C. 8

D. 7

10. The average of first ten prime numbers which are odd is____________?
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A. 13.8

B. 12.9

C. 15.8

D. 17

11. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
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A. 54.68

B. None of these

C. 55

D. 53.33

12. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is_____________?
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A. 11.5

B. 11.4

C. 11.3

D. 11

13. The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
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A. 18

B. 15

C. 21

D. 9
14. Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is___________?
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A. Rs.4.50

B. Rs.5.00

C. Rs.7.50

D. Rs.3

15. The average of first five prime numbers greater than 20 is____________?
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A. 32.2

B. 31

C. 32

D. 31.01

16. A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is__________?
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A. Rs.20

B. Rs.22

C. Rs.21

D. Rs.23

17. The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
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A. 1 year

B. 3 years

C. 2 years

D. 4 years
18. A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings?
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A. 36

B. 37

C. 35

D. 34

19. Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60km/h and the other is moving at 40km/h mph. In how many hours will they meet?
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A. 1.5

B. 2.5

C. 2

D. 1.75

E. 1.25

20. The average of first 10 natural numbers is____________?
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A. 6

B. 5.5

C. 6.5

D. 5

21. If a car is sold for Rs..50000 the profit is 17 percent, what would be profit percentage if sold for Rs. 47000?
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A. 14.50%

B. 9.98%

C. 16.20%

D. 14.85%

22. The average of first 10 even numbers is___________?
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A. 9

B. 22

C. 18

D. 11
23. 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 ?
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A. Rs.18

B. Rs.20

C. Rs.16

D. Rs.22

24. The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
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A. 12

B. 24

C. 8

D. 22

25. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
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A. 19

B. 10

C. 1

D. 0

26. The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is____________?
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A. 11 years

B. 15 years

C. 15 2/7 years

D. 14 years

27. The average of five results is 46 and that of the first four is 45. The fifth result is__________?
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A. 50

B. 1

C. 12.5

D. 10

28. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?
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A. None of these

B. 24 years

C. 23 years

D. 25 years

29. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is__________?
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A. 30

B. 27

C. 25

D. 35
30. 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 __________ .
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A. 149

B. 153

C. 152

D. 151
31. Calculate the Average of 1,2,3,4,5.
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A. 2

B. 3

C. 1

D. 4

32. 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?
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A. 31 years

B. 26 years

C. 30 Years

D. 33 years

33. The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?
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A. 5

B. 8

C. 2

D. Cannot be determined

34. Find the average of all the numbers between 6 and 34 which are divisible by 5.
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A. 24

B. 18

C. 30

D. 20
35. A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
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A. 40, 80

B. 50, 70

C. 60, 60

D. 70, 50

36. 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)?
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A. 178.29 cm

B. 179.29 cm

C. 178.39 cm

D. 179.38 cm

37. The average age of a husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is___________?
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A. 30 years

B. None of these

C. 40 years

D. 35 years

38. A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is___________?
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A. 250

B. 276

C. 285

D. 280

39. The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
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A. 57

B. 34

C. 56

D. 46

40. The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
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A. 52.5

B. 50

C. 59

D. 47.5

41. The mean marks of 30 students in a class is 58.5. Later on it was found that 75 was wrongly recorded as 57. Find the correct them.
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A. 58.9

B. 57.4

C. 59.1

D. 57.5

42. Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
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A. 2.5 years

B. 2 years

C. 1.5 years

D. 1 year
43. A pupils marks were wrongly entered as 83 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is___________?
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A. 10

B. 73

C. 20

D. 40
44. Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
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A. Rs.32

B. Rs.29.25

C. Rs.30.25

D. Rs.35

45. A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
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A. Rs.250

B. None

C. Rs.150

D. Rs.225

46. The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest).
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A. 16 years

B. 18 years

C. 20 years

D. 14 years

47. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is__________________?
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A. 20

B. 21

C. 23

D. 22

48. The average marks in mathematics scored by the students of a school at the public examination were 39. If four of these students who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of students sent up for examination from the school?
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A. 30

B. 32

C. 20

D. 25
49. The average of 18 observations was calculated and it was 124. Later on it was discovered that two observations 46 and 82 were incorrect. The correct values are 64 and 28. The correct average of 18 observations is___________?
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A. 123

B. 137

C. 122

D. 121

50. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is___________?
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A. 31 kg

B. 26 kg

C. 20 kg

D. 17 kg