IBPS PO Quantitative Aptitude: Quantity Comparison questions with solutions

Q1. Given: B + C = 12. Constraints: 14 ≥ A > B > 9, 10 ≥ B > C > 1. (A, B, C are integers.) Quantity I: Value of A + 5 Quantity II: Value of 2C + B

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

Answer: Quantity I > Quantity II

B>9 and 10≥B (integer) → B=10. B+C=12 → C=2. Check: C>1 ✓, B>C ✓. A>B=10 and 14≥A (integer) → A∈{11,12,13,14}. Quantity I=A+5 ≥ 16. Quantity II=2(2)+10=14. A+5≥16>14. Quantity I > Quantity II in all cases.

Q2. Quantity I: 80-litre mixture with milk:water = 7:1. If 30% is removed, find remaining water. Quantity II: 7 litres.

1. Quantity I > Quantity II
2. Quantity I < Quantity II
3. Quantity I ≥ Quantity II
4. Quantity I = Quantity II or no relation can be established

Answer: Quantity I = Quantity II or no relation can be established

Water in mixture = 80×(1/8) = 10L. 30% of mixture removed (proportionally): water removed=0.3×10=3L. Remaining water=10-3=7L. QI=7=QII. Answer: QI=QII.