Chemegate

GATE 2026 Chemical Engineering, Q8 · General Aptitude

The correct answer is D, 2.

Question

Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. All corners are to be colored such that any two corners connected by an edge must be of different colors. The minimum number of colors required to achieve this is ________

Figure for Q8 (General Aptitude, Graph Coloring): Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. All corners ar…
  • A. 8
  • B. 4
  • C. 3
  • D. 2

Official answer: 2

Why

GATE 2026 official key: (D). The cube's vertex-edge graph is bipartite (3-regular, no odd cycles), so 2 colors suffice.

Explanation cross-checked for consistency. Final answer matches the official IIT answer key.