Multiple choice

In the following questions, two equations Quantity I and Quantity II are given. You have to solve both the equations and give answer. \begin{itemize} \item Quantity I: (2x^2 - x - 66 = 0) \item Quantity II: (3y^2 - 5y - 42 = 0)\end{itemize}

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or the relation cannot be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

For Quantity I: 2x² - x - 66 = 0 gives x = (1 ± 23)/4, so x = 6 or x = -5.5. For Quantity II: 3y² - 5y - 42 = 0 gives y = (5 ± 23)/6, so y = 14/3 ≈ 4.67 or y = -3. Comparing all pairs: when x=6, both y values give x > y; when x=-5.5, both y values give x < y. Since the relationship depends on which roots you compare, no consistent relation exists.

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