To the nearest integer, the non-negative fourth root of integer \(n\) rounds to \(3.\) Inclusive, \(n\) is between

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To the nearest integer, the non-negative fourth root of integer \(n\) rounds to \(3.\) Inclusive, \(n\) is between

(A) 0 and 1
(B) 2 and 3
(C) 4 and 9
(D) 10 and 39
(E) 40 and 150

Answer: E

Source: Manhattan GMAT