Let \( n \in \mathbf{N}, n25 \). Let \( A, G, H \) denote the arith...

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Let \( n \in \mathbf{N}, n25 \). Let \( A, G, H \) denote the arithmetic mean, geometric mean and harmonic mean of 25 and \( n \). The least value of \( n \) for which \( A, G, H \in\{25 \), \( -26, \ldots, n\} \), is
(a) 49
(b) 81
(c) 169
(d) 225
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