If average of x numbers is y and average of z numbers is w, combined average is MCQ with Answer and Explanation

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

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

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

C. x y + z w

D. (y + w)/2

Answer: Option B

Solution (By JKSSB Mock Tests)

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

This question belongs to: Maths Average

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Question #1

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The average of 4 numbers is 25. If the numbers are in the ratio 2:3:4:5, find the smallest number.

A. 14.29

B. 15

C. 14

D. 13.5

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Correct Answer: Option A

Explanation:
Sum=4×25=100. Ratio sum=14. Smallest = (2/14)×100 =14.285...≈14.29.

This question belongs to: Maths Average

Question #2

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The average of 10, 20, 30 is 20, average of 30,40,50 is 40, average of 10,20,30,40,50 is

A. 28

B. 32

C. 35

D. 30

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Correct Answer: Option D

Explanation:
Sum=150. Average=30.

This question belongs to: Maths Average

Question #3

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Average of 9 numbers 940. If average of 6 is 935, average of remaining 3?

A. 955

B. 945

C. 950

D. 948

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Correct Answer: Option C

Explanation:
Sum9=8460. Sum6=5610. Remaining=2850. Average=950.

This question belongs to: Maths Average

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