Question

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

Arithmetic Properties of numbers

(1) Since n + 2 is even, n is an even integer, and therefore n +1 would be an odd integer; SUFFICIENT.

(2) Since n -1 is an odd integer, n is an even integer. Therefore n +1 would be an odd integer; SUFFICIENT.

The correct answer is D;

each statement alone is sufficient.