Average MCQs with Answers and Explanations for Competitive Exams

Question #161

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The average marks of 25 students is 72. If a student with 60 marks leaves, what is the new average?

A. 73

B. 72.5

C. 72

D. 71.5

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Correct Answer: Option B

Explanation:
Sum=25×72=1800. New sum=1800-60=1740. New avg=1740/24=72.5.

This question belongs to: Maths Average

Question #162

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The average of 6 numbers is 17. If one number is 20, find the average of the remaining 5.

A. 16.8

B. 17.0

C. 16.6

D. 16.4

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Correct Answer: Option D

Explanation:
Sum=6×17=102. Remaining sum=102-20=82. Avg=82/5=16.4.

This question belongs to: Maths Average

Question #163

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Find the average of all numbers from 1 to 40 that are divisible by 8.

A. 23

B. 22.5

C. 24

D. 25

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Correct Answer: Option C

Explanation:
Numbers:8,16,24,32,40 sum=120, count=5, avg=24.

This question belongs to: Maths Average

Question #164

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The average of 4 numbers is 27. If each number is increased by 4, what is the new average?

A. 31

B. 27

C. 35

D. 23

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Correct Answer: Option A

Explanation:
New average =27+4=31.

This question belongs to: Maths Average

Question #165

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The average of 7 numbers is 30. If each number is divided by 2, what is the new average?

A. 15

B. 14

C. 16

D. 13

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Correct Answer: Option A

Explanation:
New average =30/2=15.

This question belongs to: Maths Average

Question #166

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The average of 3 numbers is 12. If the numbers are in the ratio 1:2:3, find the smallest.

A. 8

B. 4

C. 10

D. 6

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Correct Answer: Option D

Explanation:
Sum=3×12=36. Ratio sum=6. Smallest = (1/6)×36=6.

This question belongs to: Maths Average

Question #167

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The average of 10 numbers is 21. If one number is 30, find the average of the remaining 9.

A. 19

B. 20

C. 20.5

D. 19.5

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Correct Answer: Option B

Explanation:
Sum=10×21=210. Remaining sum=210-30=180. Avg=180/9=20.

This question belongs to: Maths Average

Question #168

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The average of 8 numbers is 34. If each number is multiplied by 1.5, what is the new average?

A. 34

B. 68

C. 51

D. 25.5

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Correct Answer: Option C

Explanation:
New average =34×1.5=51.

This question belongs to: Maths Average

Question #169

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The average of 5 numbers is 44. If each number is decreased by 6, what is the new average?

A. 44

B. 32

C. 38

D. 50

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Correct Answer: Option C

Explanation:
New average =44-6=38.

This question belongs to: Maths Average

Question #170

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The average weight of 10 persons is 70 kg. If a person weighing 80 kg leaves, what is the new average?

A. 68.5

B. 69

C. 68.89 kg

D. 69.5

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Correct Answer: Option C

Explanation:
Sum=10×70=700. New sum=700-80=620. New avg=620/9=68.89.

This question belongs to: Maths Average

Question #171

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The average of 6 numbers is 23. If two numbers are 18 and 26, find the average of the remaining four.

A. 23

B. 23.5

C. 24

D. 22.5

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Correct Answer: Option B

Explanation:
Sum=6×23=138. Sum of two=18+26=44. Sum of four=94. Avg=94/4=23.5.

This question belongs to: Maths Average

Question #172

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What is the average of the first 10 odd numbers?

A. 11

B. 10.5

C. 10

D. 9.5

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Correct Answer: Option C

Explanation:
Sum of first 10 odd =10^2=100. Average=100/10=10.

This question belongs to: Maths Average

Question #173

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The average of 4 numbers is 24. If each number is multiplied by 4, what is the new average?

A. 48

B. 72

C. 24

D. 96

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Correct Answer: Option D

Explanation:
New average =24×4=96.

This question belongs to: Maths Average

Question #174

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The average of 9 numbers is 27. If one number is 36, find the average of the remaining 8.

A. 25.5

B. 26

C. 25.875

D. 26.5

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Correct Answer: Option C

Explanation:
Sum=9×27=243. Remaining sum=243-36=207. Avg=207/8=25.875.

This question belongs to: Maths Average

Question #175

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Find the average of the first 6 multiples of 5.

A. 17.5

B. 17

C. 18

D. 16.5

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Correct Answer: Option A

Explanation:
Multiples:5,10,15,20,25,30 sum=105, count=6, avg=17.5.

This question belongs to: Maths Average

Question #176

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The average of 7 numbers is 48. If each number is increased by 7, what is the new average?

A. 62

B. 55

C. 41

D. 48

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Correct Answer: Option B

Explanation:
New average =48+7=55.

This question belongs to: Maths Average

Question #177

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The average of 5 numbers is 24. If each number is divided by 3, what is the new average?

A. 7

B. 6

C. 8

D. 9

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Correct Answer: Option C

Explanation:
New average =24/3=8.

This question belongs to: Maths Average

Question #178

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The average marks of 22 students is 65. If a student with 75 marks leaves and another with 85 joins, what is the new average?

A. 65.5

B. 66.0

C. 65.45

D. 65.2

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Correct Answer: Option C

Explanation:
Sum=22×65=1430. Remove 75: 1430-75=1355. Add 85: 1355+85=1440. New avg=1440/22=65.45.

This question belongs to: Maths Average

Question #179

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The average of 6 numbers is 29. If one number is 34, find the average of the remaining 5.

A. 28.2

B. 27.8

C. 27.6

D. 28

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Correct Answer: Option D

Explanation:
Sum=6×29=174. Remaining sum=174-34=140. Avg=140/5=28.

This question belongs to: Maths Average

Question #180

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The average of 5 numbers is 24. If one number is excluded, the average of the remaining 4 numbers becomes 20. What is the excluded number?

A. 44

B. 48

C. 40

D. 36

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Correct Answer: Option C

Explanation:
Total of 5 numbers = 5×24 = 120. Total of remaining 4 numbers = 4×20 = 80. Excluded number = 120−80 = 40.

This question belongs to: Maths Average

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