Question

If n is an integer, is n even?
(1) $n^2-1$ is an odd integer.
(2) $3n+4$ is an even integer.

• A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
• B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Each statement alone is sufficient.
• E. Statements (1) and (2) together are not sufficient

Answer 1

The correct option is D Each statement alone is sufficient.

As per Statement 1, the expression is odd.

Suppose we assume, then we get, an even number.

As per Statement 2, the expression is even.

Suppose we assume, then we get, which is a fraction.

Thus, each statement alone is sufficient to answer whether n is odd or even by assuming the integer values.