vikkimba17 wrote:Is n an integer?
(1) n^2 is an integer.
(2) SQROOT(n)is an integer.
Statement 1:
Since n² must be an integer, make a list of options for n²:
n² = 1, 2, 3, 4...
To get a list of options for n, take the square root of every value in the list above:
n = 1, √2, √3, 2...
If n=1, then the answer to the question stem is YES.
If n=√2, then the answer to the question stem is NO.
Since the answer could be YES or NO, INSUFFICIENT.
Statement 2:
Since √n must be an integer, make a list of options for √n:
√n = 1, 2, 3, 4...
To get a list of options for n, square every value in the list above:
n = 1, 4, 9, 16...
In every case, n is an integer, implying that the answer to the question stem is YES.
SUFFICIENT.
The correct answer is
B.
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