Exams › IBPS PO › Quantitative Aptitude

Passage: I. \(x^2 - 19x - 150 = 0\) II. \(y^2 + 24y + 119 = 0\) Solve both equations and mark the appropriate answer.

1. x > y
2. x < y
3. x ≥ y
4. x ≤ y

Correct answer: x > y

Solution

Factoring gives \(x^2 - 19x - 150 = (x-25)(x+6)=0\), so the roots are 25 and -6. Also, \(y^2 + 24y + 119 = (y+17)(y+7)=0\), so the roots are -17 and -7. Taking the larger root from each, \(x=25\) and \(y=-7\), hence \(x>y\).

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