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      Question

      HCF of two numbers 75 and 105 can be expressed in the

      form of (15m – 120) whereas LCM of these two numbers can be expressed in the form of (50n – 25). 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 99 Correct Answer Incorrect Answer
      E 72 Correct Answer Incorrect Answer

      Solution

      HCF of 75 and 105 = 15 LCM of 75 and 105 = 525 According to the question, => 15m – 120 = 15 => m = 9 And, 50n – 25 = 525 => n = 11 Required answer = n x m = 99

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