Question

What is the value of the number n? Statement I: n is the only even prime number. Statement II: n is the positive square root of 4.

• 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:

Check whether each statement by itself pins n to a single value.

Answer 1

The Correct Option is D

Step 1: Test Statement I alone.
The only even prime number is 2, so n = 2. Sufficient.
Step 2: Test Statement II alone.
The positive square root of 4 is 2, so n = 2. Sufficient.
Step 3: Conclude.
Each statement alone independently fixes n = 2, so each alone is sufficient.