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      Question

      HCF of two numbers 60 and 100 can be expressed in the

      form of (20m – 120) whereas LCM of these two numbers can be expressed in the form of (40n – 20). Find the ratio of (n × m).
      A 32 Correct Answer Incorrect Answer
      B 63 Correct Answer Incorrect Answer
      C 56 Correct Answer Incorrect Answer
      D 28 Correct Answer Incorrect Answer

      Solution

      HCF of 60 and 100 = 20 LCM of 60 and 100 = 300 According to the question, => 20m – 120 = 20 => m = 7 And, 40n – 20 = 300 => n = 8 Required answer = n x m = 56

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