Multiple choice

Passage

Find the value of Q1 and Q2 and state the correct relationship.

Quantity I: Area of rectangle whose sides are in the ratio 3 : 1 and perimeter twice the circumference of a semi-circle with area 77 cm2. Quantity II: Curved surface area of a cylinder of radius 12 cm and height equal to the side of square of area 49 cm2.

  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: Semi-circle area 77 = (1/2)πr² gives r=7. Perimeter = πr+14 = 36. Rectangle perimeter=72. With sides ratio 3:1, sides are 27 and 9. Area = 243. Quantity II: Square area 49 gives side=7 (cylinder height). Cylinder CSA = 2πrh = 2π×12×7 = 528. Since 528 > 243, Quantity II is greater.

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