What is the value of positive integer n?
(1) n^4 < 25
(2) n is not equal to n^2
OA:C
Source:GMATPrep
(1) n^4 < 25
(2) n is not equal to n^2
OA:C
Source:GMATPrep
Statement 1:NandishSS wrote:What is the value of positive integer n?
(1) n^4 < 25
(2) n is not equal to n^2
n� < 25
n² < 5.
Since n must be positive, n=1 or n=2.
INSUFFICIENT.
Statement 2:
The only positive integer equal to its square is 1:
1 = 1².
Thus, Statement 2 indicates that n≠1.
Since n can be equal to any positive integer other than 1, INSUFFICIENT.
Statements combined:
Of the two options for n in statement 1, only n=2 satisfies both statements.
Thus, n=2.
SUFFICIENT.
The correct answer is C.
