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

  • question_answer
    If the product of two positive integers is equal to the product of their HCF and LCM is true, then the HCF (32, 36) is

    A) 2

    B) 4

    C) 6

    D) 8

    Correct Answer: B

    Solution :

    Given, product of the two numbers  
    \[=\text{ }LCM\text{ }\times \text{ }HCF\]
    \[\therefore \,\,32\times 36=LCM\,\left( 32,\,36 \right)\]
    \[\times \,\,HCF\left( 32,36 \right)\]
     \[\Rightarrow \,\,32\times 36=288\times HCF\left( 32,36 \right)\]
     \[\Rightarrow \,\,\,HCF\left( 32,\,\,36 \right)=\frac{32\times 36}{288}=4\]
     


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