Allied & ICAR Exam Bank • ALLIED_1957 MCQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

In the same 4x4x4 painted cube cut into 64 unit cubes, how many unit cubes have NO faces painted red (the interior core)?

Options:

  • (A) 8
  • (B) 16
  • (C) 24
  • (D) 0

Answer Key:

A

Step-by-Step Solution & Explanation

The unpainted interior core forms a cube of side (n - 2) = (4 - 2) = 2. Number of unpainted cubes = 2^3 = 8.
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