Reasoning : General Mental Ability

Q 40 / 45

UPSC CSE Prelims 2012

Six squares are coloured, front/and back, red (R), blue (B), yellow (Y), green (G), white (W) and orange (O) and are hinged together as shown in the figure given below. If they are folded to form a cube, what would be the face opposite the white face?

R B
G Y O
W

EXPLANATION

Correct Option (C)

When the given two-dimensional net is folded to construct a three-dimensional cube, specific faces become opposite to each other. To identify the face opposite the white (W) face, a systematic visualization of the folding process is employed:

  • If the white (W) face is designated as the bottom of the cube.
  • The yellow (Y) face, being directly adjacent to W in the net, folds up to become the front face.
  • The green (G) face, adjacent to Y on its left in the net, folds to form the left face of the cube.
  • The orange (O) face, adjacent to Y on its right in the net, folds to form the right face of the cube.
  • The blue (B) face, positioned above G in the net (which is now the left face), folds to become the top face of the cube.
  • The red (R) face, positioned above B in the net (which is now the top face), folds to become the back face of the cube.

Based on this arrangement, the blue (B) face occupies the position opposite to the white (W) face.

Incorrect Options:

  • Option (A) R: The red (R) face is opposite the yellow (Y) face.
  • Option (B) G: The green (G) face is opposite the orange (O) face.
  • Option (D) O: The orange (O) face is opposite the green (G) face.
Explanation figure for the question: Six squares are coloured, front/and back, red (R), blue (B), yellow (Y), green (G), white…