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      Question

      A number ‘N’ is the greatest 3-digit number which

      gives a remainder of 2 when divided by 7, 10, and 12. Find the minimum number to be added to it to make it a perfect square.
      A 49 Correct Answer Incorrect Answer
      B 71 Correct Answer Incorrect Answer
      C 25 Correct Answer Incorrect Answer
      D 58 Correct Answer Incorrect Answer

      Solution

      ATQ,

      LCM (7, 10, 12) = 420

      420 × 2 = 840 (largest 3-digit multiple)

      N = 840 + 2 = 842

      Next perfect square = 30² = 900

      Required number = 900 - 842 = 58

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