Multiple choice

Passage

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: x2=x Quantity II: 2y2-y-1=0

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I< Quantity II

  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 → x(x-1) = 0 → x = 0 or 1. Quantity II: 2y² - y - 1 = 0. Factorizing: (2y+1)(y-1) = 0 → y = -0.5 or 1. Since x can be 0 or 1, and y can be -0.5 or 1, the relationship varies: when x=0, x>y if y=-0.5 but xy if y=-0.5. No unique relation can be established.

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