﻿ Let n ∈ N, n > 25. Let A, G, H denote the arithmetic mean, geometric mean and harmonic mean of 25 and n. The least value of n for which A, G, H ∈ {25, 26, …, n}, is : Kaysons Education

# Let N ∈ N, n > 25. Let A, G, H denote The Arithmetic Mean, Geometric Mean And Harmonic Mean Of 25 And N. The Least Value Of N For Which A, G, H ∈ {25, 26, …, N}, Is

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## Question

### Solution

Correct option is

225

As A, G, H are natural numbers, n must odd be perfect square. Now, will be a natural number if we take n = 225.

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