DSSSB 14 August 2024
Reasoning
Hard

Seven boxes A, B, C, D, R, S and T are kept one over the other but not necessarily in the same order. Only three boxes are kept below B. Only two boxes are kept between B and S. Only A is kept above C. R is kept at some place below D and at some place above T. Which box is kept at the second position from the bottom?

Appeared in: DSSSB 14 August 2024

Explanation

  • The puzzle involves arranging 7 boxes in a vertical stack based on several relative position clues.
  • The clue 'Only three boxes are kept below B' is an absolute statement, fixing Box B at the 4th position from the bottom.
  • The clue 'Only A is kept above C' creates a fixed block, placing A at the top (7th position) and C just below it (6th position).
  • With B at position 4 and A at position 7, the clue 'two boxes are kept between B and S' forces S into the 1st position (bottom) by elimination.
  • The final clue establishes the sequence D-R-T, which perfectly fits into the remaining empty positions: 5, 3, and 2.
  • This deduction places Box T at the 2nd position from the bottom, making it the correct answer.

Why Other Options Were Wrong

  • Option A: Following the logical deductions, Box D is placed in the 5th position from the bottom.
  • Option C: The clue 'Only A is kept above C' places Box C at the 6th position from the bottom.
  • Option D: The clue 'Only A is kept above C' places Box A at the topmost (7th) position.

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 Logical Reasoning: Arrangement Puzzle as background academic context rather than a clinical decision trigger.
  • While not a clinical question, it tests logical reasoning and sequential problem-solving, which are essential cognitive skills for nurses.
  • Nurses use similar step-by-step deduction to prioritize patient care, follow complex treatment protocols, and troubleshoot issues in a logical sequence.
  • What if? - If the clue was 'Only one box is kept between B and S', S would have to be at position 2 (since position 6 is occupied by C). This would shift the positions of R and T, changing the final answer.
How to Approach the Question
  • First, visualize or sketch the structure of the puzzle, which is 7 vertical slots.
  • Identify the most concrete clue to establish a fixed point. 'Only three boxes are kept below B' fixes B's position at 4.
  • Use this fixed point to solve relative clues. Knowing B is at 4 helps determine the possible positions for S.
  • Look for clues that create 'blocks' of items. 'Only A is kept above C' creates a two-box block that must go at the top.
  • Use the process of elimination. Once a position is filled, no other item can go there. This helped place S at position 1 instead of 7.
  • Combine the final relative clue ('R is below D and above T') with the remaining empty slots to complete the arrangement.
Concept Tested & Keywords
  • Concept Tested: Logical Reasoning: Arrangement Puzzle
  • Stem keywords: Seven boxes, kept one over the other, below B, between B and S, above C, below D, above T
  • Lead-in keywords: Which box
  • Negative lead-in flag: false

Question ID

QvyNyWDjdfaoC43MtTG83W

Practise the full DSSSB 14 August 2024

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

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