A positive number when decreased by 4 is equal to 21 times the reciprocal of the number. The number is?

PPSC 5 Years Past Papers Subject Wise (Solved with Details) / All — Multiple-choice practice

  1. A. 8
  2. B. None of these
  3. C. 7
  4. D. 9

Correct answer

7

Explanation

Explanation Given equation: x - 4 = 21(1/x) Multiply both sides by x: x² - 4x = 21 Rearrange the equation: x² - 4x - 21 = 0 Factor the quadratic equation: (x - 7)(x + 3) = 0 Solve for x: x = 7 (since x is a positive number)

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