Multiple choice

Passage

In the following questions, two quantities are given as Quantity I and Quantity II. Find the correct relationship among them.

Quantity I: Area of the square is 7200 cm2 which is four times the area of the rectangle whose length and breadth is in the ratio of 9:8. What is the sum of length and breadth of the rectangle? Quantity II: A rectangular water tank is 300 cm×488 cm is dug inside a circular field. The area of the remaining portion is 12000cm2 . Find the radius of the circular field.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: Square area = 7200, so rectangle area = 7200/4 = 1800. Length:breadth = 9:8, so dimensions are 45×40. Sum = 85cm. Quantity II: Tank area = 300×488 = 146400. Remaining area = 12000, so circle area = 146400 + 12000 = 158400. Using πr² = 158400, r = √(158400/π) ≈ 224.5cm. Since 85 < 224.5, Quantity II > Quantity I, so answer is C.

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