Consider the question and two statements given below:<br><br>LCM of two numbers x and y is 481 where x \gt y.<br><br>Question: What is the value of (3x-2y)?<br>Statement-1: y \gt 1.<br>Statement-2: HCF of x and y is 1.<br><br>Which one of the following is <strong>CORRECT</strong> in respect of the question and the statements?
- A. Statement-1 alone is sufficient to answer the question ✓
- B. Statement-2 alone is sufficient to answer the question
- C. Both Statement-1 and Statement-2 are sufficient to answer the question
- D. Both Statement-1 and Statement-2 are not sufficient to answer the question
Correct Answer: A. Statement-1 alone is sufficient to answer the question
Explanation
Since 481 = 13 \times 37, possible pairs for (x, y) are (481, 1) and (37, 13). Statement 1 (y \gt 1) uniquely isolates the pair (37, 13), allowing calculation of (3x-2y). Statement 2 (HCF=1) is true for both pairs and is insufficient.
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