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

  • question_answer
    If the sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF, then the product of two numbers is:

    A) 203400

    B) 194400   

    C) 198400

    D) 205400

    Correct Answer: B

    Solution :

    Sol.      [b] Let the two numbers be a and b.
    Given,\[LCM(a,b)+HCF(a,b)=1260\]      ...(1)
    and \[LCM(a,b)=900+HCF(a,b)\]
    \[\Rightarrow \,\,\,\,\,\,\,LCM(a,b)-HCF(a,b)=900\]            ...(2)
    On solving (1) and (2). we have
    \[LCM(a,b)=1080\]and \[HCF(a,b)=180\]
    We know that. product of two numbers \[HCF\times LCM\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,a\times b=180\times 1080=194400\]


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