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GATE 2024 ST – Question 9

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

A cube is cut into eight pieces of equal size and shape. Every cut is straight and continues through to the opposite end. What is the minimum number of cuts?

  1. 3
  2. 4
  3. 7
  4. 8

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Show answer and explanation

Correct answer: (A) 3

Explanation

Three perpendicular midplanes split the cube into 2×2×2=8 congruent smaller cubes. Two planar cuts can create at most four regions, so fewer than three cannot suffice. **A**.

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