Quantitative Aptitude – Quadratic Equation – How many distinct positive integer


Slot – 1 – Quantitative Aptitude – Quadratic Equation – How many distinct positive integer


Q. How many distinct positive integer-valued solutions exist to the equation (x^2 – 7x +11)^(x^2 – 13x +42)=1 ?
  1. 4
  2. 2
  3. 6
  4. 8
Answer: 6

Solutions:
Case 1 : x^2-13x+42=0 -> x = 6 or 7
Case 2 : x^2- 7x+11=1-→x=2 or 5
Case 3 – x^2-7x+11= -1 and x^2-13x+42=even,-→x=3 or 4
So number of possible solution = 6


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