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

Quantity I > Quantity II
Quantity I < Quantity II
Quantity I ≥ Quantity II
Quantity I ≤ Quantity II

Correct answer: Quantity I > Quantity II

Solution

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.

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