Integer Solutions to Equation

Medium Data Sufficiency Analyzing Information

Let $x$ and $y$ be integers. We want to determine whether the equation $2x + 3y = 12$ has at least one solution.

Statement (1): $x$ is an even integer.

Statement (2): $y$ is a multiple of 3.

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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% Correct83%