Exams › IBPS PO › Quantitative Aptitude

a>0<b. X=[(a²+ab)-(ab²-b)]/(2a²+b²-ab). QI=x, QII=1.5. Compare.

1. Quantity I > Quantity II
2. Quantity I < Quantity II
3. Quantity I ≥ Quantity II
4. Quantity I = Quantity II

Correct answer: Quantity I < Quantity II

Solution

X=[(a²+ab)-(ab²-b)]/(2a²+b²-ab)=(a²+ab-ab²+b)/(2a²+b²-ab). Testing values: a=1,b=1→X=1; a=2,b=1→X=5/7; a=1,b=2→X=1/4. All <1.5. QI<QII consistently.

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