BTGmoderatorDC wrote:Is the positive integer n the square of an integer?
1) 4n is the square of an integer
2) n^3 is the square of an integer
OA C
Source: e-GMAT
Let's take each statement one by one.
1) 4n is the square of an integer.
Say x is an integer such that x^2 = 4n
Thus, x = 2√n
Since both x and n are integers, n must be a perfect square. The answer is yes. Sufficient.
2) n^3 is the square of an integer.
Say x is an integer such that x^2 = n^3
Thus, x = n^(3/2) = n*√n
Again, since both x and n are integers, n must be a perfect square. The answer is yes. Sufficient.
The correct answer:
D
Hope this helps!
-Jay
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