Average Questions are an important part of quantitative aptitude and are frequently asked in competitive examinations. Questions based on averages test your ability to calculate the average of numbers and apply the concept to ages, marks, salaries, runs, weights, and other real-life situations.
This practice set contains 100 Average MCQs with answers and explanations. The questions include basic average calculations as well as exam-oriented problems involving replacement, combined averages, consecutive numbers, and changes in average.
Try to solve each question yourself before opening the View Answer section. Regular practice of these Average Questions can help improve your calculation speed, accuracy, and confidence for SSC, Railway, Banking, Defence, Police, and other competitive examinations.
Q1. What is the average of 10, 20, 30, 40 and 50?
A. 25
B. 30
C. 35
D. 40
View Answer
Answer: B. 30
Average = (10 + 20 + 30 + 40 + 50) / 5 = 150/5 = 30.
Average = (10 + 20 + 30 + 40 + 50) / 5 = 150/5 = 30.
Q2. What is the average of the first five natural numbers?
A. 2
B. 3
C. 4
D. 5
View Answer
Answer: B. 3
First five natural numbers are 1, 2, 3, 4 and 5.
Average = 15/5 = 3.
First five natural numbers are 1, 2, 3, 4 and 5.
Average = 15/5 = 3.
Q3. Find the average of 15, 25, 35 and 45.
A. 25
B. 30
C. 35
D. 40
View Answer
Answer: B. 30
Average = (15 + 25 + 35 + 45)/4 = 120/4 = 30.
Average = (15 + 25 + 35 + 45)/4 = 120/4 = 30.
Q4. The average of 8 numbers is 25. What is their total?
A. 150
B. 175
C. 200
D. 225
View Answer
Answer: C. 200
Total = Average × Number of observations = 25 × 8 = 200.
Total = Average × Number of observations = 25 × 8 = 200.
Q5. The average of 6 numbers is 18. What is their sum?
A. 96
B. 108
C. 112
D. 120
View Answer
Answer: B. 108
Sum = 18 × 6 = 108.
Sum = 18 × 6 = 108.
Q6. The average of 7 numbers is 24. If six of the numbers have a sum of 132, find the seventh number.
A. 30
B. 32
C. 36
D. 40
View Answer
Answer: C. 36
Total = 24 × 7 = 168.
Seventh number = 168 − 132 = 36.
Total = 24 × 7 = 168.
Seventh number = 168 − 132 = 36.
Q7. What is the average of 12, 18, 24, 30 and 36?
A. 20
B. 22
C. 24
D. 26
View Answer
Answer: C. 24
Sum = 120.
Average = 120/5 = 24.
Sum = 120.
Average = 120/5 = 24.
Q8. The average of 10 numbers is 15. If each number is increased by 5, what will be the new average?
A. 15
B. 18
C. 20
D. 25
View Answer
Answer: C. 20
When the same value is added to every number, the average also increases by that value.
New average = 15 + 5 = 20.
When the same value is added to every number, the average also increases by that value.
New average = 15 + 5 = 20.
Q9. The average of 12 numbers is 20. If each number is decreased by 3, what will be the new average?
A. 15
B. 17
C. 18
D. 23
View Answer
Answer: B. 17
New average = 20 − 3 = 17.
New average = 20 − 3 = 17.
Q10. The average of 5 consecutive numbers is 32. What is the middle number?
A. 30
B. 31
C. 32
D. 33
View Answer
Answer: C. 32
For an odd number of consecutive numbers, the average is the middle number.
For an odd number of consecutive numbers, the average is the middle number.
Q11. Find the average of the first 10 natural numbers.
A. 5
B. 5.5
C. 6
D. 6.5
View Answer
Answer: B. 5.5
Average of 1 to 10 = (1 + 10)/2 = 5.5.
Average of 1 to 10 = (1 + 10)/2 = 5.5.
Q12. Find the average of the first 20 natural numbers.
A. 10
B. 10.5
C. 11
D. 11.5
View Answer
Answer: B. 10.5
Average = (1 + 20)/2 = 10.5.
Average = (1 + 20)/2 = 10.5.
Q13. What is the average of the first 10 even natural numbers?
A. 10
B. 11
C. 12
D. 15
View Answer
Answer: B. 11
The numbers are 2, 4, 6, …, 20.
Average = (2 + 20)/2 = 11.
The numbers are 2, 4, 6, …, 20.
Average = (2 + 20)/2 = 11.
Q14. What is the average of the first 10 odd natural numbers?
A. 9
B. 10
C. 11
D. 12
View Answer
Answer: C. 11
The numbers are 1, 3, 5, …, 19.
Average = (1 + 19)/2 = 10.
The numbers are 1, 3, 5, …, 19.
Average = (1 + 19)/2 = 10.
Q15. The average of 4 numbers is 25. If one number is 40, what is the average of the remaining three numbers?
A. 18
B. 20
C. 22
D. 24
View Answer
Answer: B. 20
Total = 4 × 25 = 100.
Remaining sum = 100 − 40 = 60.
Average = 60/3 = 20.
Total = 4 × 25 = 100.
Remaining sum = 100 − 40 = 60.
Average = 60/3 = 20.
Q16. The average of 9 numbers is 40. If one number is removed, the average becomes 38. Find the removed number.
A. 50
B. 52
C. 56
D. 58
View Answer
Answer: C. 56
Original total = 9 × 40 = 360.
New total = 8 × 38 = 304.
Removed number = 360 − 304 = 56.
Original total = 9 × 40 = 360.
New total = 8 × 38 = 304.
Removed number = 360 − 304 = 56.
Q17. The average of 8 numbers is 30. If a number 18 is replaced by 34, what will be the new average?
A. 31
B. 32
C. 33
D. 34
View Answer
Answer: A. 32
Increase in total = 34 − 18 = 16.
Increase in average = 16/8 = 2.
New average = 30 + 2 = 32.
Increase in total = 34 − 18 = 16.
Increase in average = 16/8 = 2.
New average = 30 + 2 = 32.
Q18. The average of 10 numbers is 35. If a number 25 is replaced by 45, find the new average.
A. 36
B. 37
C. 38
D. 40
View Answer
Answer: A. 37
Increase = 45 − 25 = 20.
Increase in average = 20/10 = 2.
New average = 35 + 2 = 37.
Increase = 45 − 25 = 20.
Increase in average = 20/10 = 2.
New average = 35 + 2 = 37.
Q19. The average age of 5 students is 16 years. If their teacher is included, the average becomes 20 years. What is the teacher’s age?
A. 36 years
B. 38 years
C. 40 years
D. 42 years
View Answer
Answer: C. 40 years
Students’ total age = 5 × 16 = 80.
New total = 6 × 20 = 120.
Teacher’s age = 120 − 80 = 40 years.
Students’ total age = 5 × 16 = 80.
New total = 6 × 20 = 120.
Teacher’s age = 120 − 80 = 40 years.
Q20. The average age of 6 persons is 25 years. If a new person joins them, the average becomes 27 years. Find the age of the new person.
A. 35 years
B. 37 years
C. 39 years
D. 41 years
View Answer
Answer: C. 39 years
Original total = 6 × 25 = 150.
New total = 7 × 27 = 189.
New person’s age = 189 − 150 = 39 years.
Original total = 6 × 25 = 150.
New total = 7 × 27 = 189.
New person’s age = 189 − 150 = 39 years.
Q21. The average age of 8 persons is 30 years. If one person aged 44 years leaves, what is the new average?
A. 27 years
B. 28 years
C. 29 years
D. 30 years
View Answer
Answer: B. 28 years
Original total = 8 × 30 = 240.
Remaining total = 240 − 44 = 196.
New average = 196/7 = 28 years.
Original total = 8 × 30 = 240.
Remaining total = 240 − 44 = 196.
New average = 196/7 = 28 years.
Q22. The average age of 10 students is 15 years. If the principal’s age is included, the average becomes 18 years. What is the principal’s age?
A. 45 years
B. 48 years
C. 50 years
D. 52 years
View Answer
Answer: B. 48 years
Students’ total = 10 × 15 = 150.
Total with principal = 11 × 18 = 198.
Principal’s age = 198 − 150 = 48 years.
Students’ total = 10 × 15 = 150.
Total with principal = 11 × 18 = 198.
Principal’s age = 198 − 150 = 48 years.
Q23. The average age of a husband and wife is 30 years. If their child is included, the average becomes 22 years. What is the child’s age?
A. 4 years
B. 6 years
C. 8 years
D. 10 years
View Answer
Answer: B. 6 years
Husband and wife total = 2 × 30 = 60.
Total of three = 3 × 22 = 66.
Child’s age = 66 − 60 = 6 years.
Husband and wife total = 2 × 30 = 60.
Total of three = 3 × 22 = 66.
Child’s age = 66 − 60 = 6 years.
Q24. The average age of 4 friends is 24 years. If a fifth friend joins them, the average becomes 26 years. Find the age of the fifth friend.
A. 30 years
B. 32 years
C. 34 years
D. 36 years
View Answer
Answer: C. 34 years
Original total = 4 × 24 = 96.
New total = 5 × 26 = 130.
Fifth friend’s age = 130 − 96 = 34 years.
Original total = 4 × 24 = 96.
New total = 5 × 26 = 130.
Fifth friend’s age = 130 − 96 = 34 years.
Q25. The average marks of 5 students is 72. If one student scored 80 marks, what is the average of the remaining four?
A. 68
B. 69
C. 70
D. 71
View Answer
Answer: C. 70
Total marks = 5 × 72 = 360.
Remaining = 360 − 80 = 280.
Average = 280/4 = 70.
Total marks = 5 × 72 = 360.
Remaining = 360 − 80 = 280.
Average = 280/4 = 70.
Q26. The average marks of 8 students is 65. If a student scoring 72 leaves, what is the average of the remaining students?
A. 63
B. 64
C. 65
D. 66
View Answer
Answer: B. 64
Total = 8 × 65 = 520.
Remaining total = 520 − 72 = 448.
Average = 448/7 = 64.
Total = 8 × 65 = 520.
Remaining total = 520 − 72 = 448.
Average = 448/7 = 64.
Q27. The average marks of 10 students is 60. If a new student scoring 80 joins the group, what is the new average?
A. 61 1/11
B. 61 9/11
C. 62
D. 62 1/11
View Answer
Answer: B. 61 9/11
Original total = 600.
New total = 680.
New average = 680/11 = 61 9/11.
Original total = 600.
New total = 680.
New average = 680/11 = 61 9/11.
Q28. A batsman’s average score in 6 innings is 45 runs. How many runs must he score in the seventh innings to raise his average to 50?
A. 70
B. 75
C. 80
D. 85
View Answer
Answer: C. 80
Current total = 6 × 45 = 270.
Required total = 7 × 50 = 350.
Required score = 350 − 270 = 80 runs.
Current total = 6 × 45 = 270.
Required total = 7 × 50 = 350.
Required score = 350 − 270 = 80 runs.
Q29. A batsman has an average of 40 runs after 5 innings. How many runs must he score in the sixth innings to make his average 45?
A. 65
B. 70
C. 75
D. 80
View Answer
Answer: C. 70
Current total = 5 × 40 = 200.
Required total = 6 × 45 = 270.
Required score = 70 runs.
Current total = 5 × 40 = 200.
Required total = 6 × 45 = 270.
Required score = 70 runs.
Q30. A batsman’s average after 8 innings is 55 runs. If he scores 72 runs in the ninth innings, what will be his new average?
A. 56
B. 56 7/9
C. 57
D. 57 1/9
View Answer
Answer: B. 56 7/9
Previous total = 8 × 55 = 440.
New total = 440 + 72 = 512.
New average = 512/9 = 56 7/9.
Previous total = 8 × 55 = 440.
New total = 440 + 72 = 512.
New average = 512/9 = 56 7/9.
Q31. The average salary of 5 employees is ₹24,000. If a manager earning ₹40,000 is included, what is the new average salary?
A. ₹25,500
B. ₹26,000
C. ₹26,666.67
D. ₹27,000
View Answer
Answer: C. ₹26,666.67
Five employees’ total = ₹1,20,000.
New total = ₹1,60,000.
Average = ₹1,60,000/6 = ₹26,666.67 approximately.
Five employees’ total = ₹1,20,000.
New total = ₹1,60,000.
Average = ₹1,60,000/6 = ₹26,666.67 approximately.
Q32. The average monthly income of a person for 4 months is ₹30,000. If his income for the fifth month is ₹40,000, what is the average income for 5 months?
A. ₹31,000
B. ₹32,000
C. ₹33,000
D. ₹34,000
View Answer
Answer: B. ₹32,000
First four months’ total = ₹30,000 × 4 = ₹1,20,000.
Five-month total = ₹1,60,000.
Average = ₹1,60,000/5 = ₹32,000.
First four months’ total = ₹30,000 × 4 = ₹1,20,000.
Five-month total = ₹1,60,000.
Average = ₹1,60,000/5 = ₹32,000.
Q33. The average expenditure of a family for 5 months is ₹12,000. If the expenditure for the sixth month is ₹15,000, what is the average expenditure for 6 months?
A. ₹12,250
B. ₹12,500
C. ₹12,750
D. ₹13,000
View Answer
Answer: C. ₹12,500
First five months = ₹60,000.
Six-month total = ₹75,000.
Average = ₹75,000/6 = ₹12,500.
First five months = ₹60,000.
Six-month total = ₹75,000.
Average = ₹75,000/6 = ₹12,500.
Q34. The average weight of 6 people is 50 kg. If a person weighing 70 kg joins them, what is the new average weight?
A. 52 kg
B. 52 6/7 kg
C. 53 kg
D. 54 kg
View Answer
Answer: B. 52 6/7 kg
Original total = 6 × 50 = 300 kg.
New total = 370 kg.
New average = 370/7 = 52 6/7 kg.
Original total = 6 × 50 = 300 kg.
New total = 370 kg.
New average = 370/7 = 52 6/7 kg.
Q35. The average weight of 8 students is 45 kg. If a student weighing 37 kg leaves, what is the new average?
A. 45 1/7 kg
B. 46 kg
C. 46 1/7 kg
D. 47 kg
View Answer
Answer: C. 46 1/7 kg
Original total = 8 × 45 = 360 kg.
Remaining total = 323 kg.
New average = 323/7 = 46 1/7 kg.
Original total = 8 × 45 = 360 kg.
Remaining total = 323 kg.
New average = 323/7 = 46 1/7 kg.
Q36. The average of 5 consecutive integers is 18. What is the largest integer?
A. 19
B. 20
C. 21
D. 22
View Answer
Answer: C. 20
The numbers are 16, 17, 18, 19 and 20.
Largest number = 20.
The numbers are 16, 17, 18, 19 and 20.
Largest number = 20.
Q37. The average of 7 consecutive integers is 25. What is the smallest integer?
A. 20
B. 21
C. 22
D. 23
View Answer
Answer: B. 22
The numbers are 22, 23, 24, 25, 26, 27 and 28.
Smallest = 22.
The numbers are 22, 23, 24, 25, 26, 27 and 28.
Smallest = 22.
Q38. The average of three consecutive even numbers is 24. What is the largest number?
A. 24
B. 26
C. 28
D. 30
View Answer
Answer: B. 26
The numbers are 22, 24 and 26.
Largest number = 26.
The numbers are 22, 24 and 26.
Largest number = 26.
Q39. The average of three consecutive odd numbers is 31. What is the smallest number?
A. 27
B. 28
C. 29
D. 30
View Answer
Answer: C. 29
The numbers are 29, 31 and 33.
Smallest number = 29.
The numbers are 29, 31 and 33.
Smallest number = 29.
Q40. The average of five consecutive even numbers is 36. What is the largest number?
A. 38
B. 40
C. 42
D. 44
View Answer
Answer: B. 40
The numbers are 32, 34, 36, 38 and 40.
Largest = 40.
The numbers are 32, 34, 36, 38 and 40.
Largest = 40.
Q41. The average of 4 consecutive integers is 25.5. What is the smallest integer?
A. 23
B. 24
C. 25
D. 26
View Answer
Answer: B. 24
The four numbers are 24, 25, 26 and 27.
Average = 102/4 = 25.5.
The four numbers are 24, 25, 26 and 27.
Average = 102/4 = 25.5.
Q42. The average of 5 consecutive odd numbers is 35. What is the largest number?
A. 37
B. 39
C. 41
D. 43
View Answer
Answer: C. 39
The numbers are 31, 33, 35, 37 and 39.
Largest = 39.
The numbers are 31, 33, 35, 37 and 39.
Largest = 39.
Q43. The average of 9 consecutive integers is 50. What is the smallest integer?
A. 45
B. 46
C. 47
D. 48
View Answer
Answer: B. 46
There are four numbers on each side of the middle number 50.
Smallest = 50 − 4 = 46.
There are four numbers on each side of the middle number 50.
Smallest = 50 − 4 = 46.
Q44. The average of 11 consecutive integers is 40. What is the largest integer?
A. 44
B. 45
C. 46
D. 47
View Answer
Answer: C. 45
There are five numbers on each side of 40.
Largest = 40 + 5 = 45.
There are five numbers on each side of 40.
Largest = 40 + 5 = 45.
Q45. The average of 5 numbers is 28. If four numbers are 20, 24, 30 and 32, find the fifth number.
A. 30
B. 32
C. 34
D. 36
View Answer
Answer: B. 34
Total = 5 × 28 = 140.
Sum of four = 20 + 24 + 30 + 32 = 106.
Fifth number = 140 − 106 = 34.
Total = 5 × 28 = 140.
Sum of four = 20 + 24 + 30 + 32 = 106.
Fifth number = 140 − 106 = 34.
Q46. The average of 6 numbers is 35. If five numbers are 25, 30, 35, 40 and 45, find the sixth number.
A. 30
B. 35
C. 40
D. 45
View Answer
Answer: B. 35
Total = 6 × 35 = 210.
Sum of five = 175.
Sixth number = 210 − 175 = 35.
Total = 6 × 35 = 210.
Sum of five = 175.
Sixth number = 210 − 175 = 35.
Q47. The average of 8 numbers is 42. If one number is 56, what is the average of the remaining seven numbers?
A. 38
B. 40
C. 42
D. 44
View Answer
Answer: B. 40
Total = 8 × 42 = 336.
Remaining total = 336 − 56 = 280.
Average = 280/7 = 40.
Total = 8 × 42 = 336.
Remaining total = 336 − 56 = 280.
Average = 280/7 = 40.
Q48. The average of 9 numbers is 30. If a number 42 is removed, what will be the new average?
A. 27
B. 28
C. 28.5
D. 29
View Answer
Answer: B. 28.5
Original total = 270.
New total = 270 − 42 = 228.
New average = 228/8 = 28.5.
Original total = 270.
New total = 270 − 42 = 228.
New average = 228/8 = 28.5.
Q49. The average of 15 numbers is 24. If each number is multiplied by 2, what will be the new average?
A. 24
B. 36
C. 48
D. 50
View Answer
Answer: C. 48
Multiplying every number by 2 also multiplies the average by 2.
New average = 24 × 2 = 48.
Multiplying every number by 2 also multiplies the average by 2.
New average = 24 × 2 = 48.
Q50. The average of 8 numbers is 25. If each number is divided by 5, what will be the new average?
A. 4
B. 5
C. 6
D. 10
View Answer
Answer: B. 5
New average = 25/5 = 5.
New average = 25/5 = 5.
Q51. The average of 6 numbers is 18. If one number is increased by 12, by how much will the average increase?
A. 1
B. 2
C. 3
D. 4
View Answer
Answer: B. 2
Increase in total = 12.
Increase in average = 12/6 = 2.
Increase in total = 12.
Increase in average = 12/6 = 2.
Q52. The average of 8 numbers is 25. If one number is decreased by 16, by how much will the average decrease?
A. 1
B. 2
C. 3
D. 4
View Answer
Answer: B. 2
Decrease in total = 16.
Decrease in average = 16/8 = 2.
Decrease in total = 16.
Decrease in average = 16/8 = 2.
Q53. The average of 20 numbers is 30. If 40 is added to each number, what is the new average?
A. 60
B. 65
C. 70
D. 80
View Answer
Answer: C. 70
New average = 30 + 40 = 70.
New average = 30 + 40 = 70.
Q54. The average of 10 numbers is 45. If each number is reduced by 7, what will be the new average?
A. 36
B. 38
C. 40
D. 42
View Answer
Answer: C. 38
New average = 45 − 7 = 38.
New average = 45 − 7 = 38.
Q55. The average of 5 numbers is 40. If one number is 20 and is replaced by 50, what is the new average?
A. 44
B. 45
C. 46
D. 48
View Answer
Answer: C. 46
Increase in total = 50 − 20 = 30.
Increase in average = 30/5 = 6.
New average = 46.
Increase in total = 50 − 20 = 30.
Increase in average = 30/5 = 6.
New average = 46.
Q56. The average of 12 numbers is 35. If a number 48 is replaced by 24, what will be the new average?
A. 31
B. 32
C. 33
D. 34
View Answer
Answer: C. 33
Decrease in total = 48 − 24 = 24.
Decrease in average = 24/12 = 2.
New average = 35 − 2 = 33.
Decrease in total = 48 − 24 = 24.
Decrease in average = 24/12 = 2.
New average = 35 − 2 = 33.
Q57. The average of 7 numbers is 28. If a number 35 is replaced by 49, what is the new average?
A. 29
B. 30
C. 31
D. 32
View Answer
Answer: B. 30
Increase = 49 − 35 = 14.
Increase in average = 14/7 = 2.
New average = 30.
Increase = 49 − 35 = 14.
Increase in average = 14/7 = 2.
New average = 30.
Q58. The average of 10 numbers is 24. If a number 18 is replaced by 38, what will be the new average?
A. 25
B. 26
C. 27
D. 28
View Answer
Answer: B. 26
Increase = 20.
Increase in average = 20/10 = 2.
New average = 26.
Increase = 20.
Increase in average = 20/10 = 2.
New average = 26.
Q59. The average of 15 numbers is 32. If a number 50 is replaced by 35, what is the new average?
A. 30
B. 31
C. 31
D. 31.5
View Answer
Answer: D. 31
Decrease = 50 − 35 = 15.
Decrease in average = 15/15 = 1.
New average = 32 − 1 = 31.
Decrease = 50 − 35 = 15.
Decrease in average = 15/15 = 1.
New average = 32 − 1 = 31.
Q60. The average of 4 numbers is 18. If a fifth number is added, the average becomes 20. What is the fifth number?
A. 24
B. 26
C. 28
D. 30
View Answer
Answer: C. 28
Original total = 4 × 18 = 72.
New total = 5 × 20 = 100.
Fifth number = 100 − 72 = 28.
Original total = 4 × 18 = 72.
New total = 5 × 20 = 100.
Fifth number = 100 − 72 = 28.
Q61. The average of 6 numbers is 25. If a seventh number is added, the average becomes 27. Find the seventh number.
A. 35
B. 37
C. 39
D. 41
View Answer
Answer: C. 39
Original total = 6 × 25 = 150.
New total = 7 × 27 = 189.
Seventh number = 39.
Original total = 6 × 25 = 150.
New total = 7 × 27 = 189.
Seventh number = 39.
Q62. The average of 8 numbers is 36. If one number is removed, the average becomes 34. What is the removed number?
A. 46
B. 48
C. 50
D. 52
View Answer
Answer: B. 50
Original total = 8 × 36 = 288.
Remaining total = 7 × 34 = 238.
Removed number = 288 − 238 = 50.
Original total = 8 × 36 = 288.
Remaining total = 7 × 34 = 238.
Removed number = 288 − 238 = 50.
Q63. The average of 9 numbers is 42. If one number is added, the average becomes 44. What is the added number?
A. 58
B. 60
C. 62
D. 64
View Answer
Answer: C. 62
Original total = 9 × 42 = 378.
New total = 10 × 44 = 440.
Added number = 440 − 378 = 62.
Original total = 9 × 42 = 378.
New total = 10 × 44 = 440.
Added number = 440 − 378 = 62.
Q64. The average of 10 numbers is 28. If one number is removed, the average becomes 27. Find the removed number.
A. 35
B. 36
C. 37
D. 38
View Answer
Answer: D. 37
Original total = 280.
Remaining total = 9 × 27 = 243.
Removed number = 280 − 243 = 37.
Original total = 280.
Remaining total = 9 × 27 = 243.
Removed number = 280 − 243 = 37.
Q65. The average of 5 numbers is 24. If one number is excluded, the average becomes 22. If the excluded number is 32, is this possible?
A. Yes, because the remaining total is 88
B. Yes, because the remaining total is 90
C. No, because the remaining total is 88
D. No, because the remaining total is 92
View Answer
Answer: A. Yes, because the remaining total is 88
Original total = 5 × 24 = 120.
After removing 32, total = 88.
Average = 88/4 = 22.
Original total = 5 × 24 = 120.
After removing 32, total = 88.
Average = 88/4 = 22.
Q66. The average of 3 numbers is 20 and the average of another 7 numbers is 30. What is the average of all 10 numbers?
A. 25
B. 26
C. 27
D. 28
View Answer
Answer: C. 27
First group total = 3 × 20 = 60.
Second group total = 7 × 30 = 210.
Combined total = 270.
Average = 270/10 = 27.
First group total = 3 × 20 = 60.
Second group total = 7 × 30 = 210.
Combined total = 270.
Average = 270/10 = 27.
Q67. The average of 5 numbers is 18 and the average of 10 other numbers is 24. Find the average of all 15 numbers.
A. 20
B. 21
C. 22
D. 23
View Answer
Answer: C. 22
First total = 5 × 18 = 90.
Second total = 10 × 24 = 240.
Combined total = 330.
Average = 330/15 = 22.
First total = 5 × 18 = 90.
Second total = 10 × 24 = 240.
Combined total = 330.
Average = 330/15 = 22.
Q68. The average of 20 students is 50 and the average of 30 students is 60. Find the average of all 50 students.
A. 54
B. 55
C. 56
D. 58
View Answer
Answer: C. 56
First total = 20 × 50 = 1,000.
Second total = 30 × 60 = 1,800.
Total = 2,800.
Average = 2,800/50 = 56.
First total = 20 × 50 = 1,000.
Second total = 30 × 60 = 1,800.
Total = 2,800.
Average = 2,800/50 = 56.
Q69. The average of 12 boys is 18 years and the average of 8 girls is 15 years. What is the average age of all 20 students?
A. 16.2 years
B. 16.5 years
C. 16.8 years
D. 17 years
View Answer
Answer: C. 16.8 years
Boys’ total = 12 × 18 = 216.
Girls’ total = 8 × 15 = 120.
Total = 336.
Average = 336/20 = 16.8 years.
Boys’ total = 12 × 18 = 216.
Girls’ total = 8 × 15 = 120.
Total = 336.
Average = 336/20 = 16.8 years.
Q70. The average marks of 15 students is 60 and that of 5 teachers is 80. Find the average marks of all 20 people.
A. 62
B. 65
C. 66
D. 70
View Answer
Answer: B. 65
Students’ total = 15 × 60 = 900.
Teachers’ total = 5 × 80 = 400.
Total = 1,300.
Average = 1,300/20 = 65.
Students’ total = 15 × 60 = 900.
Teachers’ total = 5 × 80 = 400.
Total = 1,300.
Average = 1,300/20 = 65.
Q71. The average of 4 numbers is 25 and the average of 6 other numbers is 35. Find the average of all 10 numbers.
A. 30
B. 31
C. 32
D. 33
View Answer
Answer: C. 31
First total = 4 × 25 = 100.
Second total = 6 × 35 = 210.
Combined total = 310.
Average = 310/10 = 31.
First total = 4 × 25 = 100.
Second total = 6 × 35 = 210.
Combined total = 310.
Average = 310/10 = 31.
Q72. The average of 6 numbers is 15 and the average of 4 other numbers is 20. What is the combined average?
A. 16
B. 17
C. 18
D. 19
View Answer
Answer: B. 17
First total = 90.
Second total = 80.
Combined total = 170.
Average = 170/10 = 17.
First total = 90.
Second total = 80.
Combined total = 170.
Average = 170/10 = 17.
Q73. A batsman has an average of 48 runs in 10 innings. How many total runs has he scored?
A. 420
B. 460
C. 480
D. 500
View Answer
Answer: C. 480
Total runs = 48 × 10 = 480.
Total runs = 48 × 10 = 480.
Q74. A student scored an average of 72 marks in 5 subjects. What is his total score?
A. 340
B. 350
C. 360
D. 370
View Answer
Answer: C. 360
Total = 72 × 5 = 360.
Total = 72 × 5 = 360.
Q75. A person has an average monthly expenditure of ₹18,000 for 6 months. What is his total expenditure?
A. ₹96,000
B. ₹1,00,000
C. ₹1,08,000
D. ₹1,12,000
View Answer
Answer: C. ₹1,08,000
Total expenditure = ₹18,000 × 6 = ₹1,08,000.
Total expenditure = ₹18,000 × 6 = ₹1,08,000.
Q76. A cricketer scores 60, 45, 70, 55 and 80 runs in five matches. What is his average score?
A. 60
B. 62
C. 64
D. 66
View Answer
Answer: C. 62
Total = 60 + 45 + 70 + 55 + 80 = 310.
Average = 310/5 = 62.
Total = 60 + 45 + 70 + 55 + 80 = 310.
Average = 310/5 = 62.
Q77. A student scores 65, 72, 68, 75 and 80 marks in five tests. Find the average.
A. 70
B. 71
C. 72
D. 73
View Answer
Answer: B. 72
Total = 360.
Average = 360/5 = 72.
Total = 360.
Average = 360/5 = 72.
Q78. The average of 7 observations is 15. If each observation is increased by 10, what will be the new average?
A. 20
B. 25
C. 30
D. 35
View Answer
Answer: B. 25
New average = 15 + 10 = 25.
New average = 15 + 10 = 25.
Q79. The average of 9 observations is 40. If each observation is decreased by 8, what will be the new average?
A. 30
B. 31
C. 32
D. 34
View Answer
Answer: C. 32
New average = 40 − 8 = 32.
New average = 40 − 8 = 32.
Q80. The average of 5 numbers is 22. If each number is multiplied by 3, what will be the new average?
A. 44
B. 55
C. 66
D. 72
View Answer
Answer: C. 66
New average = 22 × 3 = 66.
New average = 22 × 3 = 66.
Q81. The average of 8 numbers is 32. If each number is divided by 4, what will be the new average?
A. 6
B. 8
C. 10
D. 12
View Answer
Answer: B. 8
New average = 32/4 = 8.
New average = 32/4 = 8.
Q82. The average of 6 consecutive odd numbers is 20. Is this possible?
A. Yes, always
B. Yes, if the numbers are positive
C. No, because the average of an even number of odd integers is an integer
D. No, because the average must be odd
View Answer
Answer: C. No, because the average of an even number of odd integers is an integer
The sum of six odd integers is even, so their average can be an integer. Therefore, the stated reason in option C is incorrect.
The correct conclusion is that it is possible. For example, 15, 17, 19, 21, 23 and 25 have average 20.
Correct Answer: A. Yes, always.
The sum of six odd integers is even, so their average can be an integer. Therefore, the stated reason in option C is incorrect.
The correct conclusion is that it is possible. For example, 15, 17, 19, 21, 23 and 25 have average 20.
Correct Answer: A. Yes, always.
Q83. The average of two numbers is 35 and their difference is 10. What is the larger number?
A. 35
B. 38
C. 40
D. 45
View Answer
Answer: C. 40
Sum = 35 × 2 = 70.
Difference = 10.
Larger number = (70 + 10)/2 = 40.
Sum = 35 × 2 = 70.
Difference = 10.
Larger number = (70 + 10)/2 = 40.
Q84. The average of two numbers is 42 and their difference is 16. What is the smaller number?
A. 32
B. 34
C. 36
D. 38
View Answer
Answer: B. 34
Sum = 42 × 2 = 84.
Smaller number = (84 − 16)/2 = 34.
Sum = 42 × 2 = 84.
Smaller number = (84 − 16)/2 = 34.
Q85. The average of two numbers is 50. If one number is 60, what is the other number?
A. 30
B. 35
C. 40
D. 45
View Answer
Answer: C. 40
Total = 2 × 50 = 100.
Other number = 100 − 60 = 40.
Total = 2 × 50 = 100.
Other number = 100 − 60 = 40.
Q86. The average of 3 numbers is 24. If two numbers are 18 and 30, find the third number.
A. 20
B. 22
C. 24
D. 26
View Answer
Answer: C. 24
Total = 3 × 24 = 72.
Third number = 72 − 18 − 30 = 24.
Total = 3 × 24 = 72.
Third number = 72 − 18 − 30 = 24.
Q87. The average of 4 numbers is 32. If three numbers are 20, 30 and 40, find the fourth number.
A. 34
B. 36
C. 38
D. 40
View Answer
Answer: B. 38
Total = 4 × 32 = 128.
Sum of three = 90.
Fourth number = 128 − 90 = 38.
Total = 4 × 32 = 128.
Sum of three = 90.
Fourth number = 128 − 90 = 38.
Q88. The average of 10 numbers is 50. If the average of the first five is 46, what is the average of the remaining five?
A. 52
B. 54
C. 56
D. 58
View Answer
Answer: C. 54
Total of all = 10 × 50 = 500.
First five total = 5 × 46 = 230.
Remaining total = 270.
Average = 270/5 = 54.
Total of all = 10 × 50 = 500.
First five total = 5 × 46 = 230.
Remaining total = 270.
Average = 270/5 = 54.
Q89. The average of 12 numbers is 25. The average of the first seven numbers is 22. Find the average of the remaining five numbers.
A. 27.2
B. 28.2
C. 29.2
D. 30.2
View Answer
Answer: B. 29.2
Total = 12 × 25 = 300.
First seven total = 7 × 22 = 154.
Remaining total = 146.
Average = 146/5 = 29.2.
Total = 12 × 25 = 300.
First seven total = 7 × 22 = 154.
Remaining total = 146.
Average = 146/5 = 29.2.
Q90. The average of 15 numbers is 28. The average of the first 8 numbers is 25. What is the average of the remaining 7 numbers?
A. 30
B. 31
C. 31 3/7
D. 32
View Answer
Answer: C. 31 3/7
Total = 15 × 28 = 420.
First eight total = 8 × 25 = 200.
Remaining total = 220.
Average = 220/7 = 31 3/7.
Total = 15 × 28 = 420.
First eight total = 8 × 25 = 200.
Remaining total = 220.
Average = 220/7 = 31 3/7.
Q91. The average of 10 numbers is 40. The average of the first four is 35 and the average of the last five is 42. Find the remaining number.
A. 42
B. 44
C. 45
D. 46
View Answer
Answer: C. 45
Total of 10 = 400.
First four total = 4 × 35 = 140.
Last five total = 5 × 42 = 210.
Remaining number = 400 − 140 − 210 = 50.
Total of 10 = 400.
First four total = 4 × 35 = 140.
Last five total = 5 × 42 = 210.
Remaining number = 400 − 140 − 210 = 50.
Q92. The average age of 10 people is 28 years. If the youngest person aged 18 years is replaced by a person aged 38 years, what is the new average?
A. 29 years
B. 30 years
C. 31 years
D. 32 years
View Answer
Answer: B. 30 years
Increase in total = 38 − 18 = 20.
Increase in average = 20/10 = 2.
New average = 28 + 2 = 30 years.
Increase in total = 38 − 18 = 20.
Increase in average = 20/10 = 2.
New average = 28 + 2 = 30 years.
Q93. The average age of 20 students is 16 years. If the teacher’s age is included, the average becomes 17 years. Find the teacher’s age.
A. 35 years
B. 36 years
C. 37 years
D. 38 years
View Answer
Answer: C. 37 years
Students’ total = 20 × 16 = 320.
New total = 21 × 17 = 357.
Teacher’s age = 357 − 320 = 37 years.
Students’ total = 20 × 16 = 320.
New total = 21 × 17 = 357.
Teacher’s age = 357 − 320 = 37 years.
Q94. The average salary of 8 employees is ₹30,000. If the salary of one employee is increased by ₹4,000, what will be the new average?
A. ₹30,250
B. ₹30,500
C. ₹30,750
D. ₹31,000
View Answer
Answer: B. ₹30,500
Increase in total salary = ₹4,000.
Increase in average = ₹4,000/8 = ₹500.
New average = ₹30,500.
Increase in total salary = ₹4,000.
Increase in average = ₹4,000/8 = ₹500.
New average = ₹30,500.
Q95. The average weight of 10 people is 60 kg. If one person weighing 50 kg is replaced by another person, the average increases to 62 kg. What is the new person’s weight?
A. 65 kg
B. 70 kg
C. 75 kg
D. 80 kg
View Answer
Answer: C. 70 kg
Original total = 10 × 60 = 600 kg.
New total = 10 × 62 = 620 kg.
New person’s weight = 620 − (600 − 50) = 70 kg.
Original total = 10 × 60 = 600 kg.
New total = 10 × 62 = 620 kg.
New person’s weight = 620 − (600 − 50) = 70 kg.
Q96. The average of 6 numbers is 28. If the average of five of them is 25, find the sixth number.
A. 38
B. 40
C. 42
D. 45
View Answer
Answer: C. 43
Total of six = 6 × 28 = 168.
Total of five = 5 × 25 = 125.
Sixth number = 168 − 125 = 43.
Total of six = 6 × 28 = 168.
Total of five = 5 × 25 = 125.
Sixth number = 168 − 125 = 43.
Q97. The average of 25 numbers is 18. If the average of the first 13 numbers is 20, what is the average of the remaining 12 numbers?
A. 15 5/6
B. 16
C. 16 5/6
D. 17
View Answer
Answer: C. 15 5/6
Total = 25 × 18 = 450.
First 13 total = 13 × 20 = 260.
Remaining total = 190.
Average = 190/12 = 15 5/6.
Total = 25 × 18 = 450.
First 13 total = 13 × 20 = 260.
Remaining total = 190.
Average = 190/12 = 15 5/6.
Q98. A batsman’s average score in 12 innings is 48. If he scores 72 runs in the next innings, what will be his new average?
A. 49
B. 49 6/13
C. 50
D. 50 6/13
View Answer
Answer: B. 49 6/13
Previous total = 12 × 48 = 576.
New total = 576 + 72 = 648.
New average = 648/13 = 49 6/13.
Previous total = 12 × 48 = 576.
New total = 576 + 72 = 648.
New average = 648/13 = 49 6/13.
Q99. The average of 7 numbers is 32. If each number is increased by 4 and then divided by 2, what will be the new average?
A. 16
B. 18
C. 20
D. 22
View Answer
Answer: C. 18
If each number becomes (number + 4)/2, the average also becomes (32 + 4)/2 = 18.
If each number becomes (number + 4)/2, the average also becomes (32 + 4)/2 = 18.
Q100. The average of 10 numbers is 36. If one number is replaced by another number that is 20 greater than the original number, what will be the new average?
A. 36
B. 37
C. 38
D. 40
View Answer
Answer: C. 38
Increase in total = 20.
Increase in average = 20/10 = 2.
New average = 36 + 2 = 38.
Increase in total = 20.
Increase in average = 20/10 = 2.
New average = 36 + 2 = 38.
Average Questions are an important topic in quantitative aptitude and can be solved quickly once the basic relationship between total, number of observations, and average is understood. The concept of average is also useful in questions related to ages, marks, salaries, runs, weights, income, expenditure, and combined groups.
This set of 100 Average Questions with Answers provides practice with different types of problems, including simple averages, consecutive numbers, replacement questions, combined averages, changes in average, and practical word problems. Reviewing the explanations can help you identify shortcuts and improve your calculation accuracy.
Keep practicing Average MCQs regularly and focus on solving questions within a limited time. Strong command over averages can also help you solve many other arithmetic topics more efficiently in SSC, Railway, Banking, Defence, Police, and other competitive examinations.
Maths(Quantitative Aptitude) MCQs
Practice important Topic wise Maths/Quantitative Aptitude Questions with Solutions for competitive exams.