Multiple choice

Each question below contains a statement followed by Quantity I and Quantity II. Find the relationship among them and give your answer as: $Quantity I: (x^2 = x) Quantity II: (2y^2 - y - 1 = 0)$

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: x² = x gives x(x - 1) = 0, so x = 0 or x = 1. Quantity II: 2y² - y - 1 = 0 factors to (2y + 1)(y - 1) = 0, so y = -0.5 or y = 1. Both quantities can be 1, but x can also be 0 while y can be -0.5. No consistent relationship can be established. Option E is correct.