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If x, y, and z are all integers, two conditions must be met:

a) x^y must be a multiple of 25, and b) z must be a multiple of 3.

Statement 1: y is prime

x = 5, y = 2: x^y = 5^2 = 25 x = 25, y = 3: x^y = 25^3

Therefore, insufficient.

Statement 2: x is prime

For x^y to be a multiple of 25, x MUST BE a multiple of 5. Since x is given to be a prime number however, x must be 5, since all other multiples would consist of three or more factors. Therefore, sufficient.

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