Question:

Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square. 

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For figure fitting:
• Look for right angles first.
• Try to visualize outer boundary (square edges).
• Eliminate sets that leave gaps or overlaps.
Updated On: Apr 1, 2026
  • 1,2,4
  • 3,4,5
  • 1,2,3
  • 1,3,5
  • 5,2,4
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The Correct Option is D

Solution and Explanation

Concept: This is a figure fitting (assembly) problem:
• Pieces must combine to form a perfect square.
• Edges should align without gaps or overlaps.
• Angles must complement each other (sum to $90^\circ$ or $180^\circ$ where needed).
Step 1:
Observe given figures.
• (1) and (2): Irregular angled shapes.
• (3): Quadrilateral-like piece.
• (4): Small square.
• (5): Right-angled triangular shape.

Step 2:
Check possible combinations.
• We need pieces that can:
• Form straight boundaries
• Fill all corners of a square

Step 3:
Analyze valid set.
• Figure (5) provides a right angle → useful for square corner.
• Figure (3) fills central/side portion.
• Figure (1) complements remaining shape.

Step 4:
Eliminate others.
• Sets with (4) leave gaps due to small size.
• Other combinations cannot form perfect square boundary.

Step 5:
Conclusion.
Answer = 1,3,5
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