Allied & ICAR Exam Bank • ALLIED_1755 MCQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Logic Deduction & Pattern Recognition

Question Statement:

A large cube is painted blue on all sides and cut into 125 small identical cubes ($5 \times 5 \times 5$). How many small cubes have exactly 2 faces painted?

Options:

  • (A) 36
  • (B) 24
  • (C) 48
  • (D) 54

Answer Key:

A

Step-by-Step Solution & Explanation

Cubes with 2 painted faces lie on the 12 edges: $12(n - 2) = 12(5 - 2) = 12 \times 3 = 36$.
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