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    • Question

      ‘N’ is the biggest 3-digit number that leaves remainder

      1 when divided by 3, 8, and 11. Determine the smallest number that needs to be added to ‘N’ so it becomes a perfect square.
      A 48 Correct Answer Incorrect Answer
      B 38 Correct Answer Incorrect Answer
      C 25 Correct Answer Incorrect Answer
      D 56 Correct Answer Incorrect Answer

      Solution

      ATQ,

      LCM (3, 8, 11) = 264

      264 × 3 = 792

      N = 792 + 1 = 793

      Next perfect square = 29² = 841

      Required number = 841 - 793 = 48

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