Average: Essential Concepts for Competitive Exam Success

Average

Q. A student scored 80, 85, 90, and 95 in four subjects. What is the average score?

A. 85
B. 90
C. 88
D. 87

Solution

Average = (80 + 85 + 90 + 95) / 4 = 350 / 4 = 87.5.

Correct Answer: C — 88

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Q. A student scored 80, 90, 70, and 60 in four subjects. What score does he need in the fifth subject to have an average of 75?

A. 75
B. 80
C. 85
D. 90

Solution

Total required for average of 75 = 5 * 75 = 375. Current total = 80 + 90 + 70 + 60 = 300. Required score = 375 - 300 = 75.

Correct Answer: B — 80

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Q. A student scored 80, 90, and 70 in three subjects. What score does he need in the fourth subject to have an average of 85?

A. 90
B. 95
C. 100
D. 85

Solution

Total score needed for average of 85 = 4 * 85 = 340. Current total = 80 + 90 + 70 = 240. Score needed = 340 - 240 = 100.

Correct Answer: B — 95

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Q. A student scores 60, 70, and 80 in three subjects. If he wants an average of 75, what score does he need in the fourth subject?

A. 70
B. 75
C. 80
D. 85

Solution

Let the fourth score be x. (60 + 70 + 80 + x) / 4 = 75. Solving gives x = 90.

Correct Answer: D — 85

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Q. A student scores 80, 85, and 90 in three tests. What score does he need in the fourth test to have an average of 85?

A. 80
B. 85
C. 90
D. 95

Solution

Let the fourth score be x. (80 + 85 + 90 + x) / 4 = 85. Solving gives x = 95.

Correct Answer: C — 90

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Q. A student scores 80, 90, 70, and 60 in four subjects. What is the average score?

A. 75
B. 80
C. 70
D. 85

Solution

Average = (80 + 90 + 70 + 60) / 4 = 300 / 4 = 75.

Correct Answer: B — 80

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Q. A student scores 80, 90, 70, and 60 in four subjects. What score does he need in the fifth subject to have an average of 75?

A. 75
B. 80
C. 85
D. 90

Solution

Total required for average of 75 = 5 * 75 = 375. Current total = 80 + 90 + 70 + 60 = 300. Required score = 375 - 300 = 75.

Correct Answer: C — 85

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Q. A student scores 80, 90, 70, and 60 in four subjects. What score does he need in the fifth subject to achieve an average of 75?

A. 75
B. 80
C. 85
D. 90

Solution

Total required for average of 75 = 5 * 75 = 375. Total of four scores = 80 + 90 + 70 + 60 = 300. Required score = 375 - 300 = 75.

Correct Answer: C — 85

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Q. A student scores 80, 90, and 70 in three subjects. If he wants an average of 85 after scoring in a fourth subject, what should he score?

A. 90
B. 95
C. 100
D. 85

Solution

Total score needed for average of 85 = 4 * 85 = 340. Current total = 80 + 90 + 70 = 240. Required score = 340 - 240 = 100.

Correct Answer: B — 95

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Q. A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to achieve an average of 85?

A. 90
B. 95
C. 100
D. 85

Solution

Total score needed for average of 85 = 4 * 85 = 340. Current total = 80 + 90 + 70 = 240. Score needed = 340 - 240 = 100.

Correct Answer: B — 95

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Q. A student scores 80, 90, and 70 in three subjects. What score does he need in the fourth subject to have an average of 85?

A. 90
B. 95
C. 100
D. 85

Solution

Let the score in the fourth subject be x. The average is (80 + 90 + 70 + x) / 4 = 85. Thus, 240 + x = 340, so x = 100.

Correct Answer: B — 95

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Q. If the average of 10 numbers is 50 and the average of another 10 numbers is 60, what is the average of all 20 numbers?

A. 55
B. 56
C. 57
D. 58

Solution

Total of first 10 numbers = 10 * 50 = 500. Total of second 10 numbers = 10 * 60 = 600. Combined total = 500 + 600 = 1100. Average = 1100 / 20 = 55.

Correct Answer: A — 55

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Q. If the average of 12 numbers is 24, what is the average if one number is increased by 12?

A. 25
B. 26
C. 27
D. 28

Solution

Total of 12 numbers = 12 * 24 = 288. New total = 288 + 12 = 300. New average = 300 / 12 = 25.

Correct Answer: B — 26

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Q. If the average of 12 numbers is 25, what is the average if one number is replaced by 35?

A. 25
B. 26
C. 27
D. 28

Solution

Total = 12 * 25 = 300. New total = 300 - x + 35. New average = (300 - x + 35) / 12.

Correct Answer: B — 26

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Q. If the average of 12 numbers is 45, what will be the average if one number is removed which is 60?

A. 44
B. 45
C. 46
D. 47

Solution

Total = 12 * 45 = 540. New total = 540 - 60 = 480. New average = 480 / 11 = 43.64.

Correct Answer: A — 44

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Q. If the average of 15 numbers is 60, what is the average if one number is replaced by 90?

A. 60
B. 62
C. 64
D. 66

Solution

Total = 15 * 60 = 900. New total = 900 - x + 90. New average = (900 - x + 90) / 15.

Correct Answer: B — 62

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Q. If the average of 4 numbers is 15, what is the sum of those numbers?

A. 45
B. 60
C. 75
D. 90

Solution

The sum of the numbers is 4 * 15 = 60.

Correct Answer: A — 45

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Q. If the average of 5 numbers is 40 and one number is 60, what is the average of the remaining four numbers?

A. 35
B. 40
C. 45
D. 50

Solution

Total of 5 numbers = 5 * 40 = 200. Total of remaining four = 200 - 60 = 140. New average = 140 / 4 = 35.

Correct Answer: A — 35

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Q. If the average of 5 numbers is 60, what is the average of the first 4 numbers if the fifth number is 80?

A. 55
B. 60
C. 65
D. 70

Solution

Total of 5 numbers = 5 * 60 = 300. Total of first 4 numbers = 300 - 80 = 220. Average of first 4 = 220 / 4 = 55.

Correct Answer: A — 55

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Q. If the average of 5 numbers is 60, what is the sum of those numbers?

A. 300
B. 250
C. 350
D. 400

Solution

Sum = Average * Number of items = 60 * 5 = 300.

Correct Answer: A — 300

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Q. If the average of 6 numbers is 12 and the average of 4 other numbers is 15, what is the average of all 10 numbers?

A. 13
B. 14
C. 15
D. 16

Solution

Total of first 6 numbers = 6 * 12 = 72. Total of next 4 numbers = 4 * 15 = 60. Combined total = 72 + 60 = 132. Average = 132 / 10 = 13.2.

Correct Answer: B — 14

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Q. If the average of 8 numbers is 24, what is the sum of these numbers?

A. 192
B. 200
C. 208
D. 216

Solution

The sum of the numbers is 8 * 24 = 192.

Correct Answer: A — 192

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Q. If the average of 8 numbers is 45, what is the average of the first 4 numbers if their sum is 180?

A. 45
B. 50
C. 55
D. 60

Solution

Average of first 4 numbers = 180 / 4 = 45.

Correct Answer: B — 50

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Q. If the average of 8 numbers is 45, what is the sum of these numbers?

A. 360
B. 400
C. 450
D. 480

Solution

Sum = Average * Number of items = 45 * 8 = 360.

Correct Answer: C — 450

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Q. If the average of 8 numbers is 50, what is the average if one number is removed and the new average is 52?

A. 50
B. 51
C. 52
D. 53

Solution

Total of 8 numbers = 50 * 8 = 400. New total = 52 * 7 = 364. The removed number = 400 - 364 = 36.

Correct Answer: B — 51

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Q. If the average of 8 numbers is 50, what is the average if one number is removed and it was 60?

A. 48
B. 49
C. 50
D. 51

Solution

Total = 50 * 8 = 400. New total = 400 - 60 = 340. New average = 340 / 7 = 48.57.

Correct Answer: B — 49

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Q. If the average of 8 numbers is 50, what will be the average if one number is increased by 10?

A. 50
B. 51
C. 52
D. 53

Solution

Total of 8 numbers = 8 * 50 = 400. New total = 400 + 10 = 410. New average = 410 / 8 = 51.25, approximately 51.

Correct Answer: B — 51

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Q. If the average of a, b, and c is 20, what is the sum of a, b, and c?

A. 60
B. 50
C. 40
D. 30

Solution

Sum = Average * Number of items = 20 * 3 = 60.

Correct Answer: A — 60

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Q. If the average of five numbers is 12, what is their total sum?

A. 48
B. 60
C. 72
D. 84

Solution

Total sum = Average * Number of items = 12 * 5 = 60.

Correct Answer: A — 48

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Q. If the average of three numbers is 15 and the first two numbers are 10 and 20, what is the third number?

A. 10
B. 15
C. 20
D. 25

Solution

Total of three numbers = 3 * 15 = 45. Sum of first two numbers = 10 + 20 = 30. Third number = 45 - 30 = 15.

Correct Answer: D — 25

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