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, नीचे दिए गए प्रत्येक प्रश्न में एक कथन है, जिसके बाद मात्रा I और मात्रा II हैं, उनके बीच संबंध ज्ञात कीजिये और अपना उत्तर दें।

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

  1. Quantity I > Quantity II मात्रा I > मात्रा II

  2. Quantity I ≥ Quantity II मात्रा I ≥ मात्रा II

  3. Quantity II > Quantity I मात्रा II > मात्रा I

  4. Quantity II ≥ Quantity I मात्रा II ≥ मात्रा I

  5. Quantity I = Quantity II or Relation cannot be established मात्रा I = मात्रा II या सम्बन्ध स्थापित नहीं किया जा सकता है
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E Correct answer
Explanation

Quantity I: x² = x gives x² - x = 0, so x(x-1) = 0, meaning 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. Testing all combinations: when x=0, y=-0.5 gives x>y; when x=0, y=1 gives xy; when x=1, y=1 gives x=y. No consistent relationship exists.

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