Question

A circular sheet of paper is folded along the lines in the directions shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like \(\underline{\hspace{2cm}}\) 

• A. A
• B. B
• C. C
• D. D

Hint:

For paper-folding problems, always track how many times the paper is folded. Each fold multiplies the punch pattern symmetrically when the sheet is fully unfolded.

Answer 1

The Correct Option is A

Step 1: Understanding the folding sequence.
The circular sheet is first folded vertically into two equal halves. Then, the semicircle is folded again along a horizontal radius. This results in a quarter-circle shape where the punching is done.

Step 2: Analyzing the punched shape.
The punching shown in the final folded state consists of:
- A rectangular cut near the curved edge.
- A right-angle shaped notch along the straight edges.
When unfolded once, each punched shape duplicates along the fold line. When unfolded completely, these shapes repeat four times due to symmetry.

Step 3: Visualizing the unfolded pattern.
Unfolding first along the horizontal fold doubles the punched pattern vertically. Unfolding again along the vertical fold doubles it horizontally. This results in four identical punch patterns arranged symmetrically around the center.

Step 4: Matching with the options.
Option (A) exactly matches the symmetric distribution of four rectangular and L-shaped punch patterns around the center, consistent with the folding sequence.

Final Answer: (A)