Consider the following statements in respect of prime numbers p and q: I. Their LCM is always an odd number. II. Sum of their LCM and HCF is always an even number. 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
Explanation
If p = 2 and q = 3 (both prime), LCM = 6 (even), so statement I fails. HCF = 1, sum = 7 (odd), so statement II fails. Neither statement holds in general for any two primes.
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