Multiple choice

In the following questions, two equations Quantity I and Quantity II are given. You have to solve both the equations and give answer. $Quantity I: area of a rectangle is (84m^2) and its perimeter is (38m). If a (2m) wide path is constructed both side along with the longer side of the rectangle then find the area of the path?$ $Quantity II: the volume of cylinder is (192). Find the volume of another cylinder which height is same to the first and radius is half?$

  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 cannot be establish
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: Rectangle with area 84 and perimeter 38. Using l×w=84 and 2(l+w)=38, we get l=14, w=6. A 2m path along both longer sides creates additional area unclear without diagram - could be path along outside or inside. Quantity II: V₁ = πr²h = 192, V₂ = π(r/2)²h = πr²h/4 = 48. Without clear path configuration, relationship cannot be established.

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