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10th Class Mathematics Real Numbers Question Bank MCQs - Real Number

  • question_answer
    If p is prime, then HCF and LCM of p and p + 1 would be

    A) HCF=p, LCM=p+1

    B) HCF=p (p+1), LCM=1

    C) HCF=1, LCM=p (p+1)

    D) None of the above

    Correct Answer: C

    Solution :

    Since, p is prime.
    \[\therefore\] p and p + 1 has no common factor other than 1.
    \[\therefore\] HCF of p and \[p+1=1\]
    and LCM of p and \[p+1=p\times \left( p+1 \right)\]
                                        \[=p\left( p+1 \right)\]
     


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