Consider the following statements : I. Two consecutive natural numbers are always co-prime. II. If m and n are relatively prime, then m \times n is always even. Which of the statements given above is/are correct ?
- A. I only ✓
- B. II only
- C. Both I and II
- D. Neither I nor II
Correct Answer: A. I only
Explanation
Statement I is true because the greatest common divisor of x and x+1 is always 1. Statement II is false; for example, 3 and 5 are relatively prime but their product 15 is odd.
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