Determining if a Integer is Even or Odd

Very Easy Problem Solving Arithmetic

Let $x$ be a positive integer. We want to determine whether $x$ is even or odd.

1. The value of $x + 3$ is even.

2. The value of $x - 2$ is odd.

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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