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      Question

      Find the greatest 3-digit number which is exactly

      divisible by 7, 8 and 9.
      A 448 Correct Answer Incorrect Answer
      B 695 Correct Answer Incorrect Answer
      C 770 Correct Answer Incorrect Answer
      D 504 Correct Answer Incorrect Answer

      Solution

      First find LCM of 7, 8 and 9. 7 = 7 8 = 2Β³ 9 = 3Β² LCM = 2Β³ Γ— 3Β² Γ— 7 = 8 Γ— 9 Γ— 7 = 504 Now find the greatest 3-digit multiple of 504: 504 Γ— 1 = 504 504 Γ— 2 = 1008 (> 999, not allowed as 3-digit) So, required number = 504

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