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      Question

      The sum of a positive number 'A' and its square is 90.

      Find the value of (A2 - 7A).
      A 24 Correct Answer Incorrect Answer
      B 30 Correct Answer Incorrect Answer
      C 18 Correct Answer Incorrect Answer
      D 9 Correct Answer Incorrect Answer

      Solution

      Solution  ATQ; A + A2 = 90 Or, A2 + A - 90 = 0 Or, A2 + 10A - 9A - 90 = 0 Or, (A + 10)(A - 9) = 0 So, A = 9 or A = -10 Since, 'A' is positive. So, required value = 92 - 9 × 7 = 81 - 63 = 18

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