Average: Essential Concepts for Competitive Exam Success

Average

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

Learn More →

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

Learn More →

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

Learn More →

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

Learn More →

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

Learn More →

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

Learn More →

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

Learn More →

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

Learn More →

Q. In a class of 40 students, the average height is 150 cm. If 10 new students with an average height of 160 cm join, what will be the new average height?

A. 152
B. 154
C. 156
D. 158

Solution

The total height of the original students is 40 * 150 = 6000 cm. The total height of the new students is 10 * 160 = 1600 cm. The new total height is 6000 + 1600 = 7600 cm. The new average height is 7600 / 50 = 152 cm.

Correct Answer: C — 156

Learn More →

Q. In a class of 40 students, the average height is 150 cm. If 10 new students with an average height of 160 cm join, what is the new average height?

A. 152
B. 154
C. 156
D. 158

Solution

Total height of 40 students = 40 * 150 = 6000 cm. Total height of 10 new students = 10 * 160 = 1600 cm. New total height = 6000 + 1600 = 7600 cm. New average = 7600 / 50 = 152 cm.

Correct Answer: B — 154

Learn More →

Q. In a group of 10 people, the average age is 30 years. If two new members join the group and the average age becomes 32 years, what is the average age of the new members?

A. 34
B. 36
C. 38
D. 40

Solution

Total age of 10 people = 10 * 30 = 300. New total age = 12 * 32 = 384. Age of new members = 384 - 300 = 84. Average age of new members = 84 / 2 = 42.

Correct Answer: B — 36

Learn More →

Q. In a group of 5 friends, the average age is 24 years. If the age of one friend is 30 years, what is the average age of the remaining friends?

A. 22
B. 23
C. 24
D. 25

Solution

The total age of the 5 friends is 5 * 24 = 120. The total age of the remaining 4 friends is 120 - 30 = 90. The average age of the remaining friends is 90 / 4 = 22.5.

Correct Answer: B — 23

Learn More →

Q. In a group of 6 friends, the average age is 22 years. If one friend leaves and the average age becomes 23 years, what is the age of the friend who left?

A. 20
B. 22
C. 24
D. 26

Solution

Total age of 6 friends = 6 * 22 = 132. Total age of 5 friends = 5 * 23 = 115. Age of friend who left = 132 - 115 = 17.

Correct Answer: C — 24

Learn More →

Q. In a race, the average speed of a runner is 10 km/h. If he runs for 2 hours and then increases his speed to 15 km/h for the next 3 hours, what is his average speed for the entire race?

A. 12
B. 13
C. 14
D. 15

Solution

Total distance = (10 * 2) + (15 * 3) = 20 + 45 = 65 km. Total time = 2 + 3 = 5 hours. Average speed = 65 / 5 = 13 km/h.

Correct Answer: B — 13

Learn More →

Q. The average age of a group of 10 people is 30 years. If two new members join the group, increasing the average age to 32 years, what is the average age of the new members?

A. 36
B. 38
C. 40
D. 42

Solution

Total age of 10 people = 10 * 30 = 300. New total age = 12 * 32 = 384. Age of new members = 384 - 300 = 84. Average age of new members = 84 / 2 = 42.

Correct Answer: C — 40

Learn More →

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?

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

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

Learn More →

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

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

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

Learn More →

Q. The average of 10 numbers is 50. If one number is replaced by 70, what will be the new average?

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

Solution

The sum of the 10 numbers is 10 * 50 = 500. Replacing one number with 70 gives a new sum of 500 - x + 70. The new average is (500 - x + 70) / 10. Since x is 50, the new average is (500 - 50 + 70) / 10 = 52.

Correct Answer: B — 52

Learn More →

Q. The average of 4 consecutive integers is 25. What is the largest of these integers?

A. 26
B. 27
C. 28
D. 29

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

Learn More →

Q. The average of 4 consecutive integers is 25. What is the smallest of these integers?

A. 23
B. 24
C. 25
D. 26

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

Learn More →

Q. The average of 4 numbers is 30. If one number is 10, what is the average of the other three numbers?

A. 28
B. 30
C. 32
D. 34

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

Learn More →

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

Solution

Total = 30 * 4 = 120. New total = 120 + 10 = 130. New average = 130 / 4 = 32.5.

Correct Answer: B — 32.5

Learn More →

Q. The average of 5 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?

A. 8
B. 10
C. 12
D. 14

Solution

Total of 5 numbers = 5 * 12 = 60. Total of 4 numbers = 4 * 10 = 40. Removed number = 60 - 40 = 20.

Correct Answer: D — 14

Learn More →

Q. The average of 5 numbers is 40. If the largest number is 60, what is the average of the other four numbers?

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

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

Learn More →

Q. The average of 8 numbers is 12. If one number is removed, the average becomes 10. What is the removed number?

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

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

Learn More →

Q. The average of 8 numbers is 40. If one number is removed, the average becomes 38. What is the removed number?

A. 42
B. 40
C. 38
D. 36

Solution

Total of 8 numbers = 8 * 40 = 320. Total of 7 numbers = 7 * 38 = 266. Removed number = 320 - 266 = 54.

Correct Answer: A — 42

Learn More →

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

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

Learn More →

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

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

Solution

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

Correct Answer: A — 22

Learn More →

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

Learn More →

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

Learn More →

Showing 31 to 60 of 70 (3 Pages)

Average

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?