Question

If \( \mathbf{x} \) and \( \mathbf{y} \) are positive integers then the following is always true?
{2x - 3y < 0
(1) x = (y - 1)
(2) x > y

• 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. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed

Hint:

In Data Sufficiency, proving a "No" is just as sufficient as proving a "Yes". However, if substituting values gives a "Yes" in one case and a "No" in another, the statement is insufficient.

Answer 1

The Correct Option is A