Mo2men wrote:If y and z are factors of x^2, is x divisible by y?
(1) y is a prime number.
(2) z = y^2
Question stem, rephrased:
Does x/y = integer?
Statements combined:
Let y=2 and z=2²=4.
Since x² must be divisible by y=2 and z=4, the smallest possible option for x² is 4.
If x²=4, then x=2, with the result that x/y = 2/2 = 1 = integer.
The next greatest option for x² is 8.
If x²=8, then x=√8, with the result that x/y = √8/2 = (2√2)/2 = √2 = noninteger.
Since the answer is YES in the first case but NO in the second case, the two statements combined are INSUFFICIENT.
The correct answer is
E.
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