GATE CS 2025 Set 2 | Question 4

MCQ · 1 mark · −0.33

The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?

Note: The figures shown are representative.

A cross-shaped net of six squares: a middle row of four squares that are, from left to right, blank, an open triangle, blank and a filled triangle, with a filled circle in the square above the open triangle and an open circle in the square below it.
  1. Option A: A cube showing an open triangle on the front face, a filled circle on the top face and a blank right face. (correct)
  2. Option B: A cube showing an open triangle on the front face, a filled triangle on the right face and a blank top face.
  3. Option C: A cube showing an open triangle on the front face, with blank top and right faces.
  4. Option D: A cube showing an open triangle on the front face, a filled triangle on the top face and a filled circle on the right face.

Answer

(A)

Explanation

Fold the net with the open triangle at the front. The filled circle above it becomes the top, the open circle below it the bottom, and the blank squares on either side the left and right faces. The filled triangle, two squares to the right, lands at the back.

So the opposite pairs are: open triangle and filled triangle, filled circle and open circle, and the two blank faces.

  • B and D show the filled triangle next to the open triangle, but those faces are opposite.
  • C shows two blank faces sharing an edge, but the blank faces are opposite.
  • A shows the open triangle with the filled circle above it and a blank face beside it, exactly as folded.

Answer: A