Multiple choice

In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between two quantities and choose the appropriate option: Quantity I: The perimeter of a rectangular park is 192 m. If the length of the park is 56 m then find the cost of cleaning the entire area of the park at Rs. 9 per m^2. Quantity II: The radius and the height of a cylindrical tank are 21 m and 17 m, respectively. If the cost of filling 1m3 of water in the tank is Rs. 0.85, then find the cost required to fill the tank completely.

  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 relationship cannot be established

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

Quantity I: Perimeter = 192 means 2(l+b) = 192, l+b = 96. With l=56, b=40. Area = 56×40 = 2240 m². Cost = 2240 × 9 = Rs 20,160. Quantity II: Volume = πr²h = π×21²×17 ≈ 23569 m³. Cost = 23569 × 0.85 ≈ Rs 20,033. So Quantity I (20,160) > Quantity II (20,033). Answer B is correct.