Sufficiency of Statements for Sum Equals Ten

Hard Data Sufficiency Analyzing Information

Let $x$ and $y$ be two real numbers. We want to determine whether the sum $x + y$ is equal to 10.

Statement (1): The product of $x$ and $y$ is 24.

Statement (2): One of the numbers $x$ or $y$ is greater than 8.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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% Correct93%