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      Question

      Find the greatest 3-digit number

      which when divided by 11 or 14 leaves a remainder of 3.
      A 876 Correct Answer Incorrect Answer
      B 845 Correct Answer Incorrect Answer
      C 927 Correct Answer Incorrect Answer
      D 885 Correct Answer Incorrect Answer

      Solution

      ATQ,

      LCM Calculation: LCM of 11 and 14 = 154 Find Largest 3-Digit Number Divisible by LCM: Largest 3-digit number is 999. Divide 999 by [999/154]=6 (Closest integer less than or equal to quotient) So, largest multiple of 154 within the 3-digit range is 154×6 = 924. Add the Remainder: 924+3 = 927

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