Five cadets Charles, Harmit, Om, Piyush and Tapan were asked to pick up one each of the geometricfigures : a circle, a pentagon, a trapezoid, a hexagon and an octagon. They had a condition thatone cannot draw a figure which has a name with same first letter as that person’s name. Om’sitem has exactly one pair of parallel lines. Charles, Piyush and Tapan picked figures with moresides than a quadrilateral. Piyush as well as Tapan’s figures had lesser sides than Charles’figure.Who picked up the circle ? 

Correct option is A

Given figures:

• Circle
• Pentagon
• Trapezoid
• Hexagon
• Octagon

Conditions:

1. A person cannot pick a figure that starts with the same letter as their name.

   • Charles cannot pick Circle.
   • Harmit cannot pick Hexagon.
   • Om cannot pick Octagon.
   • Piyush cannot pick Pentagon.
   • Tapan cannot pick Trapezoid.

2. Om’s item has exactly one pair of parallel lines.

   • Among the given figures, Trapezoid has exactly one pair of parallel lines.
   • So, Om picked the Trapezoid.

3. Charles, Piyush, and Tapan picked figures with more sides than a quadrilateral (which means they picked Pentagon, Hexagon, and Octagon).

   • Since Piyush and Tapan’s figures had fewer sides than Charles’ figure, Charles must have picked the shape with the highest number of sides.

   • The figures remaining with more than four sides are:

     • Pentagon (5 sides)
     • Hexagon (6 sides)
     • Octagon (8 sides) → This is the shape with the highest sides.

   • So, Charles picked the Octagon, meaning:

     • Piyush picked the Pentagon (5 sides).
     • Tapan picked the Hexagon (6 sides).

4. The remaining shape is Circle, which means Harmit picked the Circle.

   Thus the correct answer is (A) Harmit