DSSSB - 29 August 2019 (Shift-1)
Reasoning
Hard

Which of the following cubes in the answer figures CANNOT be made based on the unfold cube in the question figure?
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Appeared in: DSSSB - 29 August 2019 (Shift-1)

Explanation

  • The core principle in solving cube net problems is that faces opposite each other on the unfolded net can never appear as adjacent faces on the folded cube.
  • In the given net, the face with the 'X' and the face with the single dot are positioned as opposite faces.
  • Option C incorrectly displays the 'X' face and the 'single dot' face sharing an edge, making it a geometrically impossible construction from the provided net.

Why Other Options Were Wrong

  • Option A: This cube is a valid construction. It shows the 'X', 'four dots', and 'hexagon' faces, which are all adjacent to one another when the net is folded.
  • Option B: This cube is a valid construction. It shows the 'star', 'vertical lines', and 'X' faces. These faces are positioned to be adjacent when the net is folded correctly.
  • Option D: This cube is a valid construction. It shows the 'single dot', 'star', and 'hexagon' faces, all of which can and do appear adjacent to each other on the final cube.

Related Visual

Infographic. An image showing the unfolded net with the three pairs of opposite faces highlighted in matching colors e.g., X and dot in red, 4-dots and star in blue, l...
Clinical Relevance
  • Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Spatial Reasoning: Cube Nets as background academic context rather than a clinical decision trigger.
  • This question tests abstract and spatial reasoning, a component of general intelligence.
  • While not a direct clinical task, strong spatial reasoning skills are beneficial for nurses in areas like understanding complex anatomical relationships from 2D diagrams, visualizing the placement of equipment, and interpreting medical imaging.
  • What if? If the 'X' in option C was replaced with the 'four dots' face, the cube would then be a possible construction, as 'single dot', 'four dots', and 'vertical lines' are all adjacent faces in the net.
How to Approach the Question
  • First, identify the pairs of opposite faces on the unfolded net. A simple rule is that faces separated by one other face in a straight line are opposite.
  • List the opposite pairs for clarity. In this net: (X, single dot), (four dots, star), and (vertical lines, hexagon).
  • Examine each of the folded cubes in the options.
  • The primary rule to check is: do any of the cubes show two opposite faces touching or sharing an edge?
  • If a cube shows an opposite pair as adjacent, it is an impossible figure and is the correct answer.
  • Apply this rule to options A, B, C, and D to find the one that violates it.
Concept Tested & Keywords
  • Concept Tested: Spatial Reasoning: Cube Nets
  • Stem keywords: unfold cube, CANNOT be made, question figure, answer figures
  • Lead-in keywords: CANNOT
  • Negative lead-in flag: The question asks to identify the cube that CANNOT be formed.

Question ID

QZeZxo_KY3MpBxYAzNSRzE

Practise the full DSSSB - 29 August 2019 (Shift-1)

Attempt every question from this paper in a timed mock, then review the full solution for each one.

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