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      Question

      HCF of two numbers 65 and 104 can be expressed in the

      form of (40m – 107) whereas LCM of these two numbers can be expressed in the form of (60n – 20). Find the ratio of (n × m).
      A 36 Correct Answer Incorrect Answer
      B 26 Correct Answer Incorrect Answer
      C 63 Correct Answer Incorrect Answer
      D 24.5 Correct Answer Incorrect Answer
      E 27 Correct Answer Incorrect Answer

      Solution

      HCF of 65 and 104 = 13 LCM of 65 and 104 = 520 According to the question, => 40m – 107 = 13 => m = 3 And, 60n – 20 = 520 => n = 9 Required answer = n x m = 27

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