Box-based puzzles are a staple of IBPS PO Prelims reasoning section, typically appearing as a set of 3–5 questions worth easy-to-moderate marks. These puzzles require you to arrange boxes vertically (stacked one above another) while assigning additional attributes like colours, sizes, contents, or owners to each box.
The key skill tested is your ability to track multiple variables simultaneously and apply elimination logic under time pressure. Unlike seating arrangements where positions are fixed in a line or circle, box puzzles add a vertical dimension—you must think in terms of "top," "bottom," "above," and "below." Mastering this puzzle type can secure 3–5 marks in under 4–5 minutes once you build pattern recognition.
Box puzzles in IBPS PO typically involve 5–7 boxes with 2–3 attributes per box. The difficulty comes not from complex logic but from managing information efficiently without confusion.
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Key Concepts
**Vertical stacking**: Boxes are numbered from bottom to top (Box 1 at bottom, Box 7 at top) or top to bottom—always clarify the numbering convention first.
**"Immediately above/below"** means adjacent positions with no box in between, while **"above/below"** means anywhere higher or lower, not necessarily adjacent.
**Multiple attributes**: Each box typically has 2–3 properties (colour, size, owner, content). Track all attributes in separate columns of your diagram.
**Definite vs. conditional clues**: Start with clues that give fixed positions ("Box P is at the top") before tackling relative clues ("Q is somewhere above R").
**Elimination method**: When a clue says "not immediately above," mark that specific adjacency as impossible and revisit when other positions are fixed.
**Gap-based clues**: "Two boxes between A and B" means exactly two boxes separate them—A could be above or below B, giving two possible scenarios.
**Negative information is valuable**: "P is not red" eliminates one option; track these in your rough work to avoid repetition.
**Size constraints often link to position**: "The largest box is above all others" directly fixes it at the top; use size-position correlations early.
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Formulas / Key Facts
| Clue Type | Interpretation | |-----------|----------------| | "A is immediately above B" | A and B are adjacent; A is exactly one position higher than B | | "A is above B" | A is anywhere higher than B (not necessarily adjacent) | | "Two boxes between A and B" | Exactly 2 boxes separate them; total gap = 3 positions | | "A is three places above B" | A's position = B's position + 3 | | "A is at the top/bottom" | A is at position 7 (top) or position 1 (bottom) in a 7-box setup | | "A is neither at top nor bottom" | A is in any middle position (positions 2–6 in a 7-box setup) | | "A is not immediately above B" | A and B may still be above/below but not adjacent |
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**Standard numbering**: Unless stated otherwise, assume Bottom = 1, Top = n (where n = total boxes).
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Worked Examples
### Example 1: Basic 5-Box Puzzle
**Given**: Five boxes P, Q, R, S, T are stacked. Each has a different colour: Red, Blue, Green, Yellow, White.
P is immediately above Q.
R is at the top.
Two boxes are between S and T.
S is above T.
The Red box is at the bottom.
Q has the Blue box.
P has the Green box.
**Step-by-step solution**:
1. R is at top → R is at position 5.
2. "Two boxes between S and T" + "S is above T" → Possible pairs: S at 5, T at 2 OR S at 4, T at 1 OR S at 3, T at bottom (position 0 invalid).
Valid: (S=5, T=2) or (S=4, T=1) or (S=3, T=... wait, 3-1=2, so T=1 when S=3? No, two boxes between means positions differ by 3).
Correct pairs: S=4 & T=1, or S=5 & T=2.
But R is at 5, so S ≠ 5. Therefore: **S=4, T=1**.
3. "P is immediately above Q" → P and Q are adjacent. Remaining positions: 2, 3. So P=3, Q=2.
4. Final arrangement (bottom to top):
Position 1: T
Position 2: Q
Position 3: P
Position 4: S
Position 5: R
5. Colours: Red at bottom → T is Red. Q is Blue. P is Green. Remaining: Yellow, White for R and S (assign based on additional clues if given).
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### Example 2: With Size Attribute
**Given**: Four boxes A, B, C, D have sizes Small, Medium, Large, Extra-Large.
The Extra-Large box is immediately below the Small box.
B is above A but not at the top.
C has the Medium box and is at the bottom.
D is not Small.
**Solution**:
1. C is at bottom (position 1) with Medium size.
2. "Extra-Large immediately below Small" → They occupy adjacent positions. Possible: (XL at 1, S at 2) or (XL at 2, S at 3) or (XL at 3, S at 4).
But position 1 has C with Medium, so XL ≠ position 1.
Valid: XL at 2, S at 3 OR XL at 3, S at 4.
3. "B is above A but not at top" → B is at position 2 or 3. A is below B.
4. C is at 1. If A is below B, A could be at 1, 2, or 3 (with B above). But C is at 1, so A ≠ 1. Thus A is at 2 or 3, B is above A.
5. D is not Small. Remaining person for top (position 4) or other slots.
6. Testing: If B=3, A=2, then D=4. XL at 2 (A), S at 3 (B)? D is not Small, and D is at 4. So D could be Large. This leaves Small for B (position 3)—wait, but we said S at 3, so B=Small. Check: D is not Small ✓.
**Confusing "above" with "immediately above"**: "X is above Y" does NOT mean adjacent. Students often place them next to each other unnecessarily → Always check if "immediately" is mentioned.
**Miscounting gaps**: "Three boxes between A and B" means positions differ by 4, not 3. The phrase counts boxes *in the gap*, not total distance → Draw it out: A _ _ _ B (3 boxes in between = 4-position difference).
**Forgetting to consider both directions**: "Two boxes between P and Q" allows P above Q or Q above P → Always create two scenarios and eliminate one using other clues.
**Mixing up attribute columns**: Assigning a colour to the wrong box when juggling multiple attributes → Maintain a clear table with separate columns for each attribute.
**Assuming fixed numbering**: Some questions number boxes top to bottom → Read the question stem carefully before starting; a wrong assumption wastes the entire attempt.
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Quick Reference
Bottom = Position 1, Top = Position n (unless stated otherwise).
"Immediately above/below" = adjacent; "above/below" = anywhere in that direction.
"n boxes between" = position difference of (n + 1).
Start with fixed-position clues, then relative clues, then negative clues.
Always draw a vertical stack with numbered positions and attribute columns.
Two-scenario approach: when a clue gives two possibilities, work both until one contradicts.