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      Question

      A number 'x' is first multiplied by 11, and the result is

      subtracted from its square. After adding 24 to the resulting value, the final outcome is zero. Given that 'x' lies between 1 and 8 (1 < x < 8), determine the value of 'x'.
      A 3 Correct Answer Incorrect Answer
      B 2 Correct Answer Incorrect Answer
      C 5 Correct Answer Incorrect Answer
      D 4 Correct Answer Incorrect Answer

      Solution

      Let us assume the required number is 'x'

      ATQ; x 2  - 11x + 24 = 0

      Or, x 2  - 3x - 8x + 24 = 0

      Or, x(x - 3) - 8(x - 3) = 0

      Or, (x - 8)(x - 3)

      Or, x = 8 or 3

      So, x = 3

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