Allied & ICAR Exam Bank • ALLIED_2546 NAT • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Logic Deduction & Pattern Recognition

Question Statement:

A large painted cube is cut into smaller cubes such that exactly 54 smaller cubes have only one face painted. The total number of smaller cubes cut from the large cube is:

Answer Key:

125

Step-by-Step Solution & Explanation

$6(n - 2)^2 = 54 \implies (n - 2)^2 = 9 \implies n - 2 = 3 \implies n = 5$. Total cubes $= 5^3 = 125$.
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