Multiple choice

The remainder of 13 divided by x is x - 2, what is x? 1) x < 3 2) x > 3

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

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

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. EACH statement ALONE is sufficient.
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A Correct answer
Explanation

x - 2 should not be negative, so x > = 2 1)  only, x can only be 2, then the remainder of 13 divided by 2 will be 1, which is not x - 2 = 2 - 2 = 0, so x cannot be less than 3, insufficient. 2)  only, 13 = nx + (x - 2), n is an integer. So (n + 1) x = 15 = 3*5, x can only be 3 or 5. x > 3, so x = 5, sufficient.

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