The geometric mean of two numbers a and b is 6, and their arithmetic mean is 10. The numbers are: MCQ with Answer and Explanation

The geometric mean of two numbers a and b is 6, and their arithmetic mean is 10. The numbers are:
A. 4 and 16
B. 3 and 17
C. 8 and 12
D. 2 and 18
Answer: Option D
Solution (By JKExamLibrary)
a + b = 20 and ab = 36. Solving gives 2 and 18 (2 + 18 = 20, 2 × 18 = 36).

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error
The chain base index number is calculated by:
A. Linking fixed base index numbers
B. Using link relatives and chaining them
C. Taking average of Laspeyres and Paasche
D. Applying Fisher's formula

Correct Answer: Option B


Explanation:
Chain indices are built by multiplying link relatives (current period relative to previous period).

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Question #2 Report Error
The geometric mean is undefined if the data contains:
A. Positive numbers only
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Correct Answer: Option B


Explanation:
GM is defined only for positive numbers; zero or negative values are not allowed.

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Question #3 Report Error
Which of the following is a disadvantage of secondary data?
A. Saves time
B. Cheaper to collect
C. May not fit the exact purpose of the study
D. Readily available

Correct Answer: Option C


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Secondary data was collected for a different purpose, so it may not perfectly match the current research objective in terms of definitions, coverage, or time period.

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