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      Question

      The HCF of two numbers is 6 and their LCM is 84. If one

      of these numbers is 42, then the second number is:
      A 12 Correct Answer Incorrect Answer
      B 40 Correct Answer Incorrect Answer
      C 48 Correct Answer Incorrect Answer
      D 30 Correct Answer Incorrect Answer

      Solution

      Product of two numbers = HCF × LCM First number × Second number = 6 × 84 ⇒ 42 × Second number = 6 × 84 ⇒ Second number = (6 × 84)/42 = 12 ∴ The second number = 12

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