Question

If \(m,n\) are two positive integers, is \(m\) an odd integer? Statements: (I) \(m+n\) is an odd integer. (II) \(mn\) is an even integer.

• A. Statement (I) alone is sufficient to answer the question, but (II) alone is not sufficient.
• B. Statement (II) alone is sufficient to answer the question, but (I) alone is not sufficient.
• C. Both the statements (I) and (II) are sufficient to answer the question, but neither statement alone is sufficient.
• D. Both the statements (I) and (II) together are not sufficient to answer the question and additional data are required.

Hint:

For parity-based data sufficiency questions, always test multiple valid examples. If the answer changes, the data is not sufficient.

Answer 1

The Correct Option is D