Determining Whether a Positive Integer is Even

Medium Data Sufficiency Determining Sufficiency

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

Statement (1): x is a multiple of 4.

Statement (2): The sum of x and 2 is greater than 10.

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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