Allied & ICAR Exam Bank • ALLIED_2304 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

A soccer ball (truncated icosahedron) has 32 faces (12 pentagons and 20 hexagons) and 90 edges. According to Euler's formula, how many vertices V does it have?

Answer Key:

60

Step-by-Step Solution & Explanation

V = E - F + 2 = 90 - 32 + 2 = 60 vertices (the C60 buckyball).
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