Assertion (A): Harmonic mean is greater than geometric mean for positive numbers. Reason (R): For positive numbers, AM ≥ GM ≥ HM. MCQ with Answer and Explanation

Question

Assertion (A): Harmonic mean is greater than geometric mean for positive numbers. Reason (R): For positive numbers, AM ≥ GM ≥ HM.

A. Both A and R true, but R is not correct explanation

B. A is true, R is false

C. A is false, R is true

D. Both A and R true, and R is correct explanation

Answer: Option C

Solution (By JKSSB Mock Tests)

The correct inequality is AM ≥ GM ≥ HM, so HM ≤ GM, thus HM is not greater. So assertion false, reason true.

This question belongs to: Accountancy and Statistics Statistics

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