Average: Essential Concepts for Competitive Exam Success

Average

Q. The average of five numbers is 20. If one number is removed, the average becomes 18. What is the removed number?

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

Solution

Total of five numbers = 5 * 20 = 100. Total of four numbers = 4 * 18 = 72. Removed number = 100 - 72 = 28.

Correct Answer: A — 22

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Q. The average of three consecutive integers is 20. What is the largest of these integers?

A. 19
B. 20
C. 21
D. 22

Solution

Let the integers be x, x+1, x+2. Average = (x + (x+1) + (x+2)) / 3 = 20. Solving gives x = 19, largest integer = 21.

Correct Answer: C — 21

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Q. The average of three numbers is 15. If one of the numbers is 10, what is the average of the other two numbers?

A. 15
B. 20
C. 25
D. 30

Solution

Total of three numbers = 3 * 15 = 45. Sum of other two numbers = 45 - 10 = 35. Average of other two = 35 / 2 = 17.5, approximately 20.

Correct Answer: B — 20

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Q. The average of three numbers is 15. If one of the numbers is 12, what is the average of the other two numbers?

A. 14
B. 15
C. 16
D. 17

Solution

Total of three numbers = 3 * 15 = 45. Sum of other two numbers = 45 - 12 = 33. Average = 33 / 2 = 16.5.

Correct Answer: B — 15

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Q. The average of three numbers is 20. If one number is 10, what is the average of the other two numbers?

A. 15
B. 20
C. 25
D. 30

Solution

Total of three numbers = 20 * 3 = 60. The sum of the other two = 60 - 10 = 50. Average = 50 / 2 = 25.

Correct Answer: A — 15

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Q. The average of three numbers is 30. If one number is 10, what is the average of the other two numbers?

A. 25
B. 30
C. 35
D. 40

Solution

Total of three numbers = 3 * 30 = 90. Sum of other two numbers = 90 - 10 = 80. Average of other two = 80 / 2 = 40.

Correct Answer: A — 25

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Q. The average of three numbers is 30. If one number is 20, what is the average of the other two numbers?

A. 35
B. 30
C. 25
D. 20

Solution

Total of three numbers = 3 * 30 = 90. Sum of other two numbers = 90 - 20 = 70. Average = 70 / 2 = 35.

Correct Answer: C — 25

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Q. The average of three numbers is 30. If one number is increased by 10, what will be the new average?

A. 30
B. 32
C. 33
D. 35

Solution

Total of three numbers = 3 * 30 = 90. New total = 90 + 10 = 100. New average = 100 / 3 = 33.33.

Correct Answer: B — 32

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Q. The average of three numbers is 30. If one of the numbers is 10, what is the average of the other two numbers?

A. 25
B. 30
C. 35
D. 40

Solution

Let the three numbers be a, b, and c. We have (a + b + c) / 3 = 30. Thus, a + b + c = 90. If c = 10, then a + b = 90 - 10 = 80. The average of a and b is 80 / 2 = 40.

Correct Answer: A — 25

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Q. The average of two numbers is 40. If one number is 30, what is the other number?

A. 50
B. 60
C. 70
D. 80

Solution

Let the other number be x. (30 + x) / 2 = 40. So, 30 + x = 80. Therefore, x = 50.

Correct Answer: A — 50

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Q. The average score of a class of 30 students is 75. If one student scored 90, what is the average score of the remaining students?

A. 74
B. 75
C. 76
D. 77

Solution

Total score = 30 * 75 = 2250. New total = 2250 - 90 = 2160. New average = 2160 / 29 = 74.55.

Correct Answer: A — 74

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Q. The average score of a student in 6 subjects is 75. If he scores 90 in the seventh subject, what will be his new average?

A. 76
B. 77
C. 78
D. 79

Solution

The total score in 6 subjects is 6 * 75 = 450. Adding the score of 90 gives a new total of 450 + 90 = 540. The new average is 540 / 7 = 77.14, which rounds to 77.

Correct Answer: B — 77

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Q. The average score of a student in 6 subjects is 80. If he scores 90 in the seventh subject, what will be his new average?

A. 82
B. 83
C. 84
D. 85

Solution

Total score = 80 * 6 = 480. New total = 480 + 90 = 570. New average = 570 / 7 = 81.43.

Correct Answer: B — 83

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Q. The average score of a team in 5 matches is 60. If they score 70 in the next match, what will be their new average?

A. 62
B. 64
C. 66
D. 68

Solution

Total score for 5 matches = 5 * 60 = 300. New total = 300 + 70 = 370. New average = 370 / 6 = 61.67.

Correct Answer: C — 66

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Q. The average score of a team in 5 matches is 75. If they score 90 in the next match, what will be their new average?

A. 76
B. 77
C. 78
D. 79

Solution

Total score in 5 matches = 5 * 75 = 375. New total = 375 + 90 = 465. New average = 465 / 6 = 77.5.

Correct Answer: C — 78

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Q. What is the average of the first five prime numbers?

A. 5
B. 6
C. 7
D. 8

Solution

The first five prime numbers are 2, 3, 5, 7, 11. Average = (2 + 3 + 5 + 7 + 11) / 5 = 28 / 5 = 5.6.

Correct Answer: C — 7

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Q. What is the average of the numbers 10, 20, and 30?

A. 15
B. 20
C. 25
D. 30

Solution

The average is (10 + 20 + 30) / 3 = 60 / 3 = 20.

Correct Answer: B — 20

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