The arithmetic mean and the geometric mean of two positive numbers p and q (p \gt q) are A and G respectively. Which one of the following is correct?
- A. A \gt G ✓
- B. G \gt A
- C. A=G
- D. A^2=G
Correct Answer: A. A \gt G
Explanation
For any two distinct positive real numbers, their Arithmetic Mean (AM) is always strictly greater than their Geometric Mean (GM). Thus, A \gt G.
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