Average
Q. The average age of a group of 5 people is 30 years. If a new person joins the group, making the average age 32 years, what is the age of the new person?
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Solution
Total age of 5 people = 5 * 30 = 150. New total age = 6 * 32 = 192. Age of new person = 192 - 150 = 42.
Correct Answer: B — 40
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Q. The average of 10 numbers is 50. If one number is increased by 10, what will be the new average?
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Solution
The total of the 10 numbers is 10 * 50 = 500. If one number is increased by 10, the new total becomes 500 + 10 = 510. The new average is 510 / 10 = 51.
Correct Answer: B — 51
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Q. The average of 4 consecutive integers is 25. What is the largest of these integers?
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Solution
Let the integers be x, x+1, x+2, x+3. Average = (4x + 6) / 4 = 25. Solving gives x = 24. Largest integer = x + 3 = 27.
Correct Answer: C — 28
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Q. The average of 4 consecutive integers is 25. What is the smallest of these integers?
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Solution
Let the integers be x, x+1, x+2, x+3. Average = (4x + 6) / 4 = 25. So, 4x + 6 = 100. Therefore, x = 23.
Correct Answer: A — 23
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Q. The average of 4 numbers is 30. If one number is 10, what is the average of the other three numbers?
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Solution
Total of 4 numbers = 4 * 30 = 120. Total of other three numbers = 120 - 10 = 110. Average of other three = 110 / 3 = 36.67, approximately 36.
Correct Answer: A — 28
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Q. The average of 4 numbers is 30. If one number is increased by 10, what will be the new average?
A.
30
B.
32.5
C.
35
D.
37.5
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Solution
Total = 30 * 4 = 120. New total = 120 + 10 = 130. New average = 130 / 4 = 32.5.
Correct Answer: B — 32.5
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Q. The average of 5 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
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Solution
Total of 5 numbers = 5 * 12 = 60. Total of 4 numbers = 4 * 10 = 40. Removed number = 60 - 40 = 20.
Correct Answer: D — 14
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Q. The average of 5 numbers is 40. If the largest number is 60, what is the average of the other four numbers?
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Solution
The total of the 5 numbers is 5 * 40 = 200. The sum of the other four numbers is 200 - 60 = 140. The average of the other four numbers is 140 / 4 = 35.
Correct Answer: A — 35
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Q. The average of 8 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?
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Solution
The total of the 8 numbers is 8 * 12 = 96. The total of the remaining 7 numbers is 7 * 10 = 70. Therefore, the removed number is 96 - 70 = 26.
Correct Answer: C — 20
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Q. The average of 8 numbers is 50. If one number is increased by 10, what will be the new average?
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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. The average of five numbers is 20. If one number is excluded, the average becomes 18. What is the excluded number?
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Solution
Total of five numbers = 5 * 20 = 100. Total of four numbers = 4 * 18 = 72. Excluded 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?
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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 12, what is the average of the other two numbers?
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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?
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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 of the numbers is 10, what is the average of the other two numbers?
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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?
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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. What is the average of the first five prime numbers?
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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?
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Solution
The average is (10 + 20 + 30) / 3 = 60 / 3 = 20.
Correct Answer: B — 20
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