Multiple choice

In the following questions, two quantities are given as Quantity I and Quantity II. Find the correct relationship.\nQuantity I: (x^3 - 133 = [56\% \text{ of } 1250] \div 4 + 113 + 124\times 9 \div 2 )\nQuantity II: (y^2 - y - 72 = 0)

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or the relation cannot be established

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: x^3-133=[56% of 1250]÷4+113+124×9÷2. 56% of 1250=700. 700÷4=175. 124×9÷2=558. Total: x^3-133=175+113+558=846. x^3=979, so x=∛979≈9.93. Quantity II: y^2-y-72=0 factors to (y-9)(y+8)=0, so y=9 or y=-8. Comparing: If y=9, x>y (9.93>9). If y=-8, x>y (9.93>-8). In all cases, Quantity I > Quantity II, so option A is correct.