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      Question

      If two numbers are in the ratio 2:3, what is the ratio

      of their HCF to their LCM?
      A 2:3 Correct Answer Incorrect Answer
      B 1:4 Correct Answer Incorrect Answer
      C 1:5 Correct Answer Incorrect Answer
      D 1:6 Correct Answer Incorrect Answer

      Solution

      Let the H.C.F of two numbers be H.
      Then the two numbers will be 2H and 3H respectively.
      Now we know that product of two numbers is equal to the product of their HCF and LCM
      Let the L.C.M of two numbers be L.
      Hence, 2H X 3H = H X L
      => L = 6H
      => H:L = 1:6

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