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Floor / Box Arrangement

Introduction

Floor / Box Arrangement puzzle यह परखता है कि आप लोगों, वस्तुओं या boxes को vertically ordered positions - जैसे building के floors या stacked boxes - पर logically कैसे रखते हैं।

ये puzzles SBI PO, IBPS Clerk, SSC, CAT जैसे exams में अक्सर पूछे जाते हैं और “above”, “below”, “immediately above/below” जैसे clues को ध्यान से interpret करके top-to-bottom सही क्रम निकालना पड़ता है।

Pattern: Floor / Box Arrangement

Pattern

लोगों या boxes को अलग-अलग vertical levels पर रखा जाता है, जिन्हें bottom से top तक number किया जाता है (1 = lowest, n = highest)।

  • Floor Numbering: 1st floor (या bottom box) सबसे नीचे होता है; सबसे ऊपर वाला highest होता है।
  • Above / Below: “Above” = higher floor number, “Below” = lower floor number।
  • Immediate Adjacency: “Immediately above/below” का मतलब है इनके बीच कोई floor नहीं है।
  • Comparative Clues: जैसे “X lives above Y” या “A box is below B” - इन्हें जोड़कर पूरा sequence निकाला जाता है।

Step-by-Step Example

Question

सात लोग - A, B, C, D, E, F और G - building के सात अलग-अलग floors पर रहते हैं (1 = lowest, 7 = highest)। D, A के ऊपर लेकिन F के नीचे रहता है। C top floor पर रहता है। E, A के immediately ऊपर रहता है। G और B, lowest दो floors पर रहते हैं। 4th floor पर कौन रहता है?

Options:
A) A    B) E    C) F    D) D

Solution

  1. Step 1: Fix known floor

    C, 7th (top) floor पर रहता है।

  2. Step 2: Decode relation “D above A but below F”

    इससे chain मिलती है: F > D > A.

  3. Step 3: Apply adjacency clue

    E, A के तुरंत ऊपर है → E = A + 1.

  4. Step 4: Apply the new constraint

    G और B lowest दो floors (1 और 2) पर हैं → A उनसे ऊपर होना चाहिए।

  5. Step 5: Combine all relations

    Top to bottom क्रम: C (7), F (6), D (5), E (4), A (3), B (2), G (1).

  6. Final Answer:

    E → Option B

  7. Quick Check:

    C top ✅ D above A but below F ✅ E immediately above A ✅ G & B lowest floors पर ✅

Quick Variations

1. Single-variable puzzles (सिर्फ floor/height position)।

2. Double-variable puzzles (floor + color या name + city)।

3. “Immediately above/below” + “two floors above/below” जैसे mixed clues।

4. Hybrid puzzles जिनमें floor + direction या blood relation logic combine होता है।

Trick to Always Use

  • Step 1: हमेशा fixed clues से शुरू करें - जैसे “X top floor पर रहता है।”
  • Step 2: सभी above-below chains decode करें (जैसे F > D > A)।
  • Step 3: adjacency pairs (“immediately above/below”) जोड़ें।
  • Step 4: बाकी positions elimination से भरें और सभी clues verify करें।

Summary

Summary

  • Vertical order को हमेशा bottom-to-top visualize करें।
  • “Above” = higher floor, “Below” = lower floor।
  • Relational और adjacency clues को systematic तरीके से जोड़ें।
  • Final करने से पहले सभी conditions verify करें।

याद रखने योग्य उदाहरण:
यदि D, A के ऊपर लेकिन F के नीचे है, और E तुरंत A के ऊपर है → F (6) > D (5) > E (4) > A (3).

Practice

(1/5)
1. Seven boxes - A, B, C, D, E, F, and G - are kept one above another, not necessarily in the same order. A is above C but below E. F is just below D. G is above E but not at the top. Which box is exactly between E and C?
easy
A. A
B. B
C. F
D. D

Solution

  1. Step 1: Decode relative positions

    A above C but below E → E > A > C.

  2. Step 2: F-D adjacency

    F is just below D → D > F (adjacent pair).

  3. Step 3: G's position

    G is above E but not at the top → so there is at least one box above E and G is not the topmost box.

  4. Step 4: Determine middle between E and C

    From E > A > C, the box exactly between E and C is A.

  5. Final Answer:

    A → Option A

  6. Quick Check:

    Arrangement respects G above E, E > A > C, and D > F adjacency ✅
Hint: Chain '>' relations for 'above' and '<' for 'below' to visualize ordering quickly.
Common Mistakes: Overlooking 'just below' adjacency when filling remaining positions.
2. Six people - P, Q, R, S, T, and U - live on six different floors of a building. Q lives on an even-numbered floor above R. P lives on an odd-numbered floor above Q. S lives immediately below T. Who lives on the top floor?
easy
A. S
B. Q
C. P
D. R

Solution

  1. Step 1: Derive order relations

    Q is above R and on an even floor → Q > R; P is on an odd floor above Q → P > Q > R.

  2. Step 2: S-T adjacency

    S immediately below T → T > S (adjacent pair).

  3. Step 3: Identify topmost

    No clue places anyone above P, and P is described as above Q and R; therefore P occupies the top floor.

  4. Final Answer:

    P → Option C

  5. Quick Check:

    P > Q > R satisfied and T > S adjacency unaffected ✅
Hint: If a person is described as 'above' others with no one above them, they are topmost.
Common Mistakes: Assuming even/odd floors without checking relative ordering.
3. Eight boxes - M, N, O, P, Q, R, S, and T - are stacked vertically (1 = bottom, 8 = top). T is at the top. N is below M but above S. Q is immediately below O. R is not at any extreme position. Which box is at the bottom?
easy
A. S
B. Q
C. R
D. N

Solution

  1. Step 1: Fix the top

    T = 8 (given).

  2. Step 2: M-N-S relation

    N is below M but above S → M > N > S (consecutive or with gaps).

  3. Step 3: O-Q adjacency

    Q is immediately below O → O > Q (adjacent pair).

  4. Step 4: R not at extremes

    Place R somewhere in middle floors (not 1 or 8).

  5. Step 5: Determine bottom

    Given M > N > S and T top with O/Q adjacent and R non-extreme, the only consistent bottom box is S.

  6. Final Answer:

    S → Option A

  7. Quick Check:

    T top ✅ M > N > S ordering preserved ✅ O > Q adjacency preserved ✅
Hint: Eliminate top/bottom positions early, then fit adjacency blocks and non-extreme constraints.
Common Mistakes: Assigning 'not at extreme' items too early before fitting other blocks.
4. Seven floors are numbered 1 to 7 (1 = lowest, 7 = highest). A lives on the 2nd floor. B lives immediately above A. C lives on the top floor. D lives two floors below C. E lives immediately below D. Who lives on the 4th floor?
medium
A. B
B. E
C. D
D. F

Solution

  1. Step 1: Fix the top floor

    C = 7 (given).

  2. Step 2: Place D two floors below C

    D = 7 - 2 = 5.

  3. Step 3: Place E immediately below D

    E = D - 1 = 4.

  4. Step 4: Place A and B

    A = 2 (given) → B immediately above A = 3; remaining person F occupies floor 1.

  5. Final Answer:

    E → Option B

  6. Quick Check:

    C7 ✅ D5 (two below C) ✅ E4 (immediately below D) ✅ A2 and B3 as given ✅
Hint: Place top/bottom fixed positions first, then apply relative offsets and immediate relations.
Common Mistakes: Overlapping two people on same floor when combining clues without reassigning remaining floors.
5. Six persons - A, B, C, D, E, and F - live on different floors of a six-floor building (1 = lowest, 6 = highest). B lives on the 2nd floor. A lives immediately above C. E lives above A. D lives immediately below E. Who lives on the 5th floor?
medium
A. A
B. E
C. C
D. D

Solution

  1. Step 1: Fix B

    B = 2 (given).

  2. Step 2: A immediately above C

    A = C + 1 (adjacent pair).

  3. Step 3: E above A and D immediately below E

    To satisfy E above A with D immediately below E, place E = 6, D = 5.

  4. Step 4: Fit remaining A and C

    Assign A = 4 and C = 3 (A immediately above C). F occupies floor 1.

  5. Final Answer:

    D → Option D

  6. Quick Check:

    B2 ✅ C3 & A4 adjacency ✅ E6 above A ✅ D5 immediately below E ✅
Hint: If E must be above A and someone must be immediately below E, consider placing E at the highest available floor to avoid conflicts.
Common Mistakes: Placing adjacency pairs without leaving space for required 'above' persons.

Mock Test

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