Question

Is the integer x an even number? Statement I: x is a multiple of 4. Statement II: x is a multiple of 3.

• A. Statement I alone is sufficient, but statement II alone is not sufficient.
• B. Statement II alone is sufficient, but statement I alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Each statement alone is sufficient.

Hint:

Multiples of 4 are always even; multiples of 3 can be either.

Answer 1

The Correct Option is A

Step 1: Test Statement I alone.
Every multiple of 4 (4, 8, 12, ...) is even, so x must be even. Statement I alone is sufficient.
Step 2: Test Statement II alone.
A multiple of 3 can be 6 (even) or 9 (odd), so it does not settle the question. Not sufficient.
Step 3: Conclude.
Statement I alone is sufficient, but statement II alone is not.