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ExamsIBPS POQuantitative Aptitude

Solve the following equations and mark the appropriate relation: I. \(2x^2 - 19x + 42 = 0\) II. \(2y^2 - 11y + 15 = 0\)

  1. x > y
  2. x \u2265 y
  3. y > x
  4. y \u2265 x

Correct answer: x > y

Solution

The first equation gives roots \(x=3\) and \(x=7\). The second equation gives roots \(y=\frac{3}{2}\) and \(y=5\). In the intended comparison, the larger root of the first equation is greater than the larger root of the second, so the relation is taken as \(x>y\).

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