If n = p/q, where p and q are nonzero integers, is n an integer?
1) n^2 is an integer.
2) (2n + 4) / 2 is an integer.
OA: D
1) n^2 is an integer.
2) (2n + 4) / 2 is an integer.
OA: D
Statement 1:NandishSS wrote:If n = p/q, where p and q are nonzero integers, is n an integer?
1) n^2 is an integer.
2) (2n + 4) / 2 is an integer.
Either n is an integer or n is an irrational number such as √2.
An irrational number cannot be written as integer/integer.
Since n = p/q = integer/integer, n cannot be an irrational number such as √2.
Thus, n must be an integer, and the answer to the question stem is YES.
SUFFICIENT.
Statement 2:
(2n + 4)/2 = integer
n + 2 = integer
n = integer - 2 = integer - integer = integer.
Thus, the answer to the question stem is YES.
SUFFICIENT.
The correct answer is D.
