Multiple choice

Two quantities that is I and II are given in following questions. Students is expected to solve the quantities and answer them according to given options by comparing their numerical values.\n\n\textbf{Quantity I:} The length of a rectangular park is 56.25% more than its breadth. There is a fountain in it of area 625 square meter and which is one fourth of the total area of the park. What is the perimeter of the park?\n\textbf{Quantity II:} The ratio of length to breadth of the rectangle is 5: 3. If the length of the rectangle is decreased by 8 m it becomes a square, then what is the area of the square thus formed?

  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 relation can’t be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Park area = 625 × 4 = 2500 sq m. Length = 1.5625 × breadth, so 1.5625b² = 2500, b = 40 m, L = 62.5 m, Perimeter = 2(62.5 + 40) = 205 m. Quantity II: 5x - 8 = 3x gives x = 4, square side = 12 m, Area = 144 sq m. Note: Perimeter (m) and area (sq m) are dimensionally different - you cannot directly compare them. However, the question asks to compare numerical values 205 vs 144, and numerically 205 > 144.

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