Allied & ICAR Exam Bank • ALLIED_1914 MCQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Logic Deduction & Pattern Recognition

Question Statement:

A cube painted yellow is cut into 64 small cubes ($n = 4$). How many cubes have exactly 1 face painted?

Options:

  • (A) 24
  • (B) 16
  • (C) 32
  • (D) 12

Answer Key:

A

Step-by-Step Solution & Explanation

Cubes with 1 face painted lie on the 6 faces: $6(n - 2)^2 = 6(4 - 2)^2 = 6 \times 4 = 24$.
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