Question:

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

Updated On: May 6, 2026
  • 123
  • 124
  • 135
  • 145
  • 142
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The Correct Option is D

Solution and Explanation


Concept: This is a
figure formation (visual reasoning) problem involving:
  • Combining given pieces to form a complete square
  • Matching edges and angles
  • Avoiding gaps and overlaps

Step 1: Identify square-forming conditions.
To form a square:
  • Outer boundary must be straight
  • Internal edges must fit without gaps
  • Angles should complement each other (mostly right angles)

Step 2: Analyze usable pieces.
  • Figures (1), (4), and (5) have edges that can align to form straight boundaries
  • Their shapes complement each other to complete a square

Step 3: Reject incompatible pieces.
  • Figures (2) and (3) introduce irregular extensions
  • These prevent proper square formation

Step 4: Option analysis.
  • (A) 123: Cannot form square $\times$
  • (B) 124: Incomplete fit $\times$
  • (C) 135: Misfit edges $\times$
  • (D) 145: Perfect square formation \checkmark
  • (E) 142: Leaves gaps $\times$

Conclusion:
Thus, the correct answer is
Option (D).
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