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      Question

      The largest number of four digits that is exactly

      divisible by 17 and 36 is:
      A 7956 Correct Answer Incorrect Answer
      B 9180 Correct Answer Incorrect Answer
      C 9792 Correct Answer Incorrect Answer
      D 8568 Correct Answer Incorrect Answer

      Solution

      L.C.M. of 17 and 36 is 612. The largest four-digit number is 9999. To find the largest four-digit number divisible by 17 and 36 we must divide the 9999 by 612 and subtract the remainder from 9999. When we divide the 9999 by 612, we get the remainder 207. Required number = 9999-207 = 9792

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