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

Visual explanation — Related Visual
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

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

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