Question Bank • QB_GA_ASA_015 MSQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

Which of the following convex regular polyhedra (Platonic solids) has/have faces that are congruent equilateral triangles?

Options:

  • (A) Regular Tetrahedron
  • (B) Regular Octahedron
  • (C) Regular Icosahedron
  • (D) Regular Dodecahedron

Answer Key:

A, B, C

Step-by-Step Solution & Explanation

Among the five Platonic solids in 3D Euclidean geometry: • Regular Tetrahedron: 4 equilateral triangular faces (Correct). • Regular Octahedron: 8 equilateral triangular faces (Correct). • Regular Icosahedron: 20 equilateral triangular faces (Correct). • Regular Dodecahedron: 12 regular pentagonal faces (Incorrect). • Regular Hexahedron (Cube): 6 square faces. Therefore, options A, B, and C are equilateral triangular.
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