The answer should be (A) - statement (1) alone is sufficient to answer the question.

Consider statement (1) first: X = 3Y^2 + 7Y

=> X = Y (3Y + 7)

=> X = Y * some number

Therefore X is a multiple of Y. So statement (1) alone is sufficient.

Next consider statement 2:X^2 - X is a multiple of Y

=> kY = X(X-1) where k is any integer >= 1

=> X = kY/(X-1) = [k/(X-1)]Y

Therefore X is a multiple of Y depending on whether k/(X-1) is an integer or not.

For k = 4 and X = 5, this works. For k=5, X=5 it does not work.

Therefore statement (2) alone is insufficient to answer the question.

Hence (A) is the correct answer choice.

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