Averages: Essential Concepts for Competitive Exam Success

Averages

Q. The average of a set of numbers is 50. If one number is removed, the average becomes 48. What was the number that was removed?

A. 50
B. 52
C. 54
D. 56

Solution

Let the number of items be n. Total sum = 50n. After removing one number, the new sum = 48(n - 1). Setting up the equation gives the removed number as 52.

Correct Answer: B — 52

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Q. The average of three consecutive integers is 20. What is the smallest of these integers? (2023)

A. 18
B. 19
C. 20
D. 21

Solution

Let the integers be x, x+1, x+2. The average is (x + (x + 1) + (x + 2)) / 3 = 20. Solving gives x = 18.

Correct Answer: A — 18

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Q. The average score of a student in five subjects is 72. If the student scores 80 in the sixth subject, what will be the new average?

A. 72
B. 74
C. 76
D. 78

Solution

New average = (72 * 5 + 80) / 6 = (360 + 80) / 6 = 440 / 6 = 73.33, which rounds to 74.

Correct Answer: C — 76

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Averages

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