Question

A black square PQRS has been cut into two parts. One part of it is shown in
Panel I. Which one of the shapes in Panel II is the other part?

• A. (i)
• B. (ii)
• C. (iii)
• D. (iv)

Hint:

Trace the irregular cut edge of the piece in Panel I and find the option whose edge is its exact complementary mirror match, giving back the full square.

Answer 1

The Correct Option is C

A useful way to solve this type of jigsaw-style puzzle is to trace only the cut edge, the boundary where the square was split, ignoring the outer straight sides of the square for a moment. The cut edge in the piece shown in Panel I has a particular sequence of turns, some going in and some going out. For the two pieces to reassemble into the original square PQRS, the second piece's cut edge must be an exact rotated or flipped copy of the first piece's cut edge, like two interlocking puzzle pieces. Testing this interlocking condition against options (i), (ii), (iii) and (iv), only shape (iii) reproduces the boundary with matching turns and matching total area, so joining it to the Panel I piece exactly recreates the black square. Hence the answer is option (C), shape (iii).