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? MCQ with Answer and Explanation

Question

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. 40

C. 48

D. 36

Answer: Option B

Solution (By JKSSB Mock Tests)

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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Question #1

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Average of 15 numbers 38. If one number 50 replaced by 20, new average?

A. 36.67

B. 37

C. 36

D. 35

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Correct Answer: Option A

Explanation:
Change -30, decrease 2. New≈36.

This question belongs to: Maths Average

Question #2

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Average of 12 numbers 1020. If average of 8 is 1015, average of remaining 4?

A. 1025

B. 1032

C. 1030

D. 1028

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Correct Answer: Option C

Explanation:
Sum12=12240. Sum8=8120. Remaining=4120. Average=1030.

This question belongs to: Maths Average

Question #3

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If average of x numbers is y and average of z numbers is w, combined average is

A. (y + w)/2

B. (x y + z w)/(x+z)

C. (x + z) y / (x + z)

D. x y + z w

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Correct Answer: Option B

Explanation:
Weighted average formula: (x*y + z*w) / (x + z).

This question belongs to: Maths Average

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