Consider the following statements in respect of prime numbers p and q:<br>I. Their LCM is <strong>ALWAYS</strong> an odd number.<br>II. Sum of their LCM and HCF is <strong>ALWAYS</strong> an even number.<br>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: D. Neither I nor II
Explanation
Let p=2, q=3. Their LCM is 6, which is even, so I is false. Their HCF is 1, and the sum 6+1=7, which is odd, so II is also false.
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