Allied & ICAR Exam Bank • ALLIED_1666 MCQ • 1 Mark

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

A solid doughnut (torus) and a standard coffee mug with a single handle are topologically equivalent (homeomorphic). What is their genus?

Options:

  • (A) 1
  • (B) 0
  • (C) 2
  • (D) 3

Answer Key:

A

Step-by-Step Solution & Explanation

Both a torus and a single-handled coffee cup possess exactly 1 through-hole: genus g = 1.
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