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11th Class Mental Ability Numbers Question Bank Question - Number System

  • question_answer
    The LCM of two numbers is 280 and their ratio is 7: 8. The two number are:

    A) 70, 80

    B) 54, 68

    C) 35, 40

    D) 28, 36

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option (c) is correct. Let the numbers be 7x and 8x. \[\Rightarrow \]   Their HCF = x Now, \[LCM\times HCF\]= Product of numbers i.e. \[280\times x=54{{x}^{2}}\,\,or\,\,x=5\] Hence, the numbers are 35 and 40.


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