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      Question

      The LCM of two numbers is 540, and their HCF is 18. If

      one of the numbers is 90, find the other number.
      A 120 Correct Answer Incorrect Answer
      B 135 Correct Answer Incorrect Answer
      C 150 Correct Answer Incorrect Answer
      D 108 Correct Answer Incorrect Answer
      E 112 Correct Answer Incorrect Answer

      Solution

      We know that the relationship between the LCM, HCF, and the two numbers is: LCM Γ— HCF = Product of the two numbers. Let the second number be x. Therefore, 540 Γ— 18 = 90 Γ— x 9720 = 90x x = 9720 Γ· 90 x = 108. Thus, the other number is 108. Correct option: d

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