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The correct relationship between Arithmetic Mean (A.M.), Geometric Mean (G.M.), and Harmonic Mean (H.M.) is:
Question

The correct relationship between Arithmetic Mean (A.M.), Geometric Mean (G.M.), and Harmonic Mean (H.M.) is:

A.

A.M. - G.M. = H.M.

B.

G.M. ≥ A.M. ≥ H.M.

C.

H.M. ≥ G.M. ≥ A.M.

D.

A.M. ≥ G.M. ≥ H.M.

Correct option is D


The relationship between means is A.M. ≥ G.M. ≥ H.M.
Arithmetic Mean is always the largest.
Geometric Mean lies between the Arithmetic and Harmonic Means.
Harmonic Mean is always the smallest.

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