(1) n^4 < 25grandh01 wrote:What is the value of the positive
integer n?
(1) n4 < 25
(2) n ≠n2
If n = 1, then n^4 = 1 < 25
If n = 2, then n^4 = 2^4 = 16 < 25
If n = 3, then n^4 = 3^4 > 25
So, n can be 1 or 2. But no definite answer; NOT sufficient.
(2) n ≠n² implies there can be so many values of n when n ≠n²; NOT sufficient
Combining (1) and (2), when n = 1, then n = n², which is not possible.
So, the only possible value of n = 2, as n = 2 and n² = 4; SUFFICIENT.
The correct answer is C.
