Allied & ICAR Exam Bank • ALLIED_1486 MCQ • 1 Mark

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

Which of the following regular polygons CANNOT tile the Euclidean plane by itself in a regular monohedral tessellation?

Options:

  • (A) Regular pentagon
  • (B) Equilateral triangle
  • (C) Square
  • (D) Regular hexagon

Answer Key:

A

Step-by-Step Solution & Explanation

The interior angle of a regular pentagon is 108 degrees, which does not divide 360 degrees evenly (360/108 = 3.33). Only triangles (60 deg), squares (90 deg), and hexagons (120 deg) can tile the plane.
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