Question

Two paper loops are joined together as shown in the figure below. If you cut the loops along the blue dotted line, what will be the resultant figure?

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is D

To solve this problem, we must understand what happens when two intertwined paper loops are cut along a specific line. The loops in question are likely connected in such a way that they form interlocking rings or linked structures. Upon cutting each loop along the blue dotted line, each loop separates into two strips. However, due to their intertwined nature, cutting results in a single larger linked loop, not two disconnected strips. Here's why:

1. Identify the Structure: Initially, we have two loops linked such that if one is cut, it cannot separate independently without affecting the other.
2. Cutting Each Loop: When a loop is cut along the line, rather than simply detaching, it extends and still remains part of the larger structure.
3. Visualize the Resultant Shape: The structure loses its original circular integrity but remains interconnected as a single, more extensive loop system.

Thus, when cut, the result is not separate pieces but a single, interconnected loop similar to a ring of a chain. In conclusion, the correct resultant figure from the given options corresponds to the image with data-src-id "671638268f5c17af28cbc13c," reflecting this interconnected nature.