These are sample practice MCQs created for exam preparation. These are NOT official exam questions.
Is x/y > 1? (1) x > y (2) x - y > 0
Question:
Is x/y > 1? (1) x > y (2) x - y > 0
Is x/y > 1? (1) x > y (2) x - y > 0
Options
Answer: (E) Statements (1) and (2) TOGETHER are NOT sufficient
Explanation:
Statement (1): x > y. If y > 0, then x/y > 1. If y < 0, then x/y could be < 1 (e.g., x = -1, y = -2 gives x/y = 0.5). Insufficient. Statement (2): x - y > 0 is equivalent to x > y. Same reasoning as (1). Insufficient. Together: Both statements give same information. Still depends on sign of y. If y > 0, then x/y > 1. If y < 0 (and x > y), x/y could be < 1. Insufficient.
Explanation:
Statement (1): x > y. If y > 0, then x/y > 1. If y < 0, then x/y could be < 1 (e.g., x = -1, y = -2 gives x/y = 0.5). Insufficient. Statement (2): x - y > 0 is equivalent to x > y. Same reasoning as (1). Insufficient. Together: Both statements give same information. Still depends on sign of y. If y > 0, then x/y > 1. If y < 0 (and x > y), x/y could be < 1. Insufficient.
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