Assertion (A): The arithmetic mean of a set of positive numbers is always greater than or equal to the geometric mean. Reason (R): AM ≥ GM for any set of non-negative numbers, and equality holds when all numbers are equal. Choose the correct option:
A. A is true, R is false
B. A is false, R is true
C. Both A and R are true, and R is the correct explanation of A
D. Both A and R are true, but R is not the correct explanation of A
Answer: Option C
Solution (By JKSSB Mock Tests)
AM-GM inequality is a fundamental property. R correctly states the condition and explains A.
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