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Order Arrangement Puzzle

Introduction

Order arrangement puzzles में लोग या वस्तुएँ एक row या circle में relational clues (उदा., "A is left of B", "C sits between D and E") के आधार पर place करने होते हैं। ये problems लॉजिकल sequencing और directional language की careful interpretation की जांच करते हैं।

इस pattern में महारत आपको textual clues को जल्दी से visual order में बदलने में मदद करती है - aptitude sections के लिए यह बहुत ज़रूरी skill है।

Pattern: Order Arrangement Puzzle

Pattern

मुख्य विचार: हर verbal relation को एक positional constraint में बदलें, partial order बनाएँ, फिर constraints को step-by-step merge करके पूरा order तैयार करें।

आम clue प्रकार:

  • Direct adjacency (A is to the left of B; A sits next to B)
  • Relative order (A is immediately left of B; A is somewhere left of B)
  • Positional extremes (उदा., A is at the extreme left/right)
  • Between clues (A is between B and C)
  • Facing direction differences (उदा., facing north बनाम facing south होने पर left/right उलट जाते हैं)

Step-by-Step Example

Question

पाँच व्यक्ति A, B, C, D और E एक row में बैठे हैं और वे north की ओर face कर रहे हैं। D extreme left पर बैठा है। A B के बाएँ है पर C के दाएँ है। E B के पास बैठा है। पूछें: बीच में कौन बैठा है?

Solution

  1. Step 1: Facing direction नोट करें

    Facing north → left/right सामान्य दिशा के अनुसार ही हैं।

  2. Step 2: Extreme place रखें

    D extreme left पर है → फिलहाल row: D _ _ _ _

  3. Step 3: "A is left of B but right of C" का उपयोग करें

    इसका मतलब क्रम (left → right) होगा: C - A - B (C बाएँ, फिर A, फिर B)। इन्हें उपलब्ध slots में डालें।

  4. Step 4: E को B के पास रखें

    B का एक neighbour खाली होना चाहिए ताकि E वहाँ बैठ सके। D extreme left के बाद उपलब्ध slots हैं: D _ _ _ _. C, A, B को इस sequence में ऐसे फिट करें कि B के पास E भी आ सके।

  5. Step 5: पूरा क्रम बनाएँ

    संभावित arrangement: D C A B E → यह शर्तें पूरा करता है: D extreme left; C बाएँ है A के, और A बाएँ है B के; B के साथ E भी neighbour है। अतः row (left → right): D, C, A, B, E।

  6. Final Answer:

    A बीच में बैठा है।

  7. Quick Check:

    Middle position (3rd) = A. Clues verify: D extreme left ✅, C left of A और A left of B ✅, E B के साथ adjacent ✅

Quick Variations

1. अगर लोग south की ओर face कर रहे हों - left/right उलट जाएंगे; पहले facing direction लागू करें।

2. Circular arrangements में extreme left/right नहीं होते; वहाँ relative positions और modular counting का उपयोग करें।

3. Mixed adjacency और distance clues - "two to the left of" जैसे clues को fixed gap constraints में बदलें।

4. कभी-कभी multiple valid orders बनते हैं - ऐसे clue sets में पता करें कि प्रश्न सभी संभव orders माँगता है या केवल वह व्यक्ति जो guaranteed है (उदा., "who is definitely in middle")।

Trick to Always Use

  • Step 1: छोटी सी sketch खींचें और definite extremes या fixed positions पहले मार्क करें (extreme left/right, between constraints)।
  • Step 2: sequences (उदा., C-A-B) को blocks के रूप में रखें बजाय कि हर व्यक्ति को अलग-अलग जगह पर रखने के।
  • Step 3: adjacency का उपयोग करके बाकि लोगों को attach करें और हर placement के बाद सभी clues verify करें।

Summary

Summary

  • Verbal relations को positional constraints में बदलें (खाका या slots का उपयोग करें)।
  • Fixed positions (extremes, explicit middle) पहले रखें ताकि possibilities कम हों।
  • Sequences (A left of B left of C) को blocks मानकर उपलब्ध slots में फिट करें।
  • Candidate order बनाने के बाद हर clue फिर से check करें; अगर facing direction south हो तो left/right reverse करें।

याद रखने के लिए उदाहरण:
यदि D extreme left है और sequence C-A-B दिया है तथा E B के adjacent है → D, C, A, B, E एक valid arrangement है और A बीच में बैठा है।

Practice

(1/5)
1. Five friends P, Q, R, S and T are sitting in a row facing north. Q is to the immediate right of P. R is at one end of the row. S is to the left of T but not next to R. Who is sitting in the middle?
easy
A. Q
B. S
C. T
D. P

Solution

  1. Step 1: Facing north

    Left/right directions remain normal.

  2. Step 2: Place R

    R is at one end → start with R _ _ _ _.

  3. Step 3: Q is immediate right of P

    Form a block (P-Q).

  4. Step 4: S is to the left of T but not next to R

    Place S after P-Q block and T at the end: R, P, Q, S, T satisfies all clues.

  5. Step 5: Check middle position

    Middle = 3rd → Q.

  6. Final Answer:

    Q → Option A

  7. Quick Check:

    Q right of P ✅, R at end ✅, S left of T and not beside R ✅
Hint: Always arrange fixed pairs first, then apply non-adjacency clues.
Common Mistakes: Placing S next to R violating the non-adjacency clue.
2. Six people A, B, C, D, E and F sit in a line facing north. B is third to the left of F. A is to the right of F but not adjacent. D is between B and C. Who sits at the extreme left?
easy
A. A
B. B
C. C
D. E

Solution

  1. Step 1: Interpret 'B is third to the left of F'

    So positions must satisfy B _ _ F (B is 3 positions left of F).

  2. Step 2: Place D between B and C

    We need B-D-C as contiguous triple (B left, D middle, C right).

  3. Step 3: Place A to the right of F but not adjacent

    A must be somewhere right of F with at least one person between them.

  4. Step 4: Build a valid order

    One arrangement that satisfies all clues is: B, D, C, F, E, A (positions 1→6). Check: B (pos1) is third left of F (pos4); D is between B and C (pos2 between pos1 & pos3); A (pos6) is to the right of F (pos4) and not adjacent (E at pos5 in between).

  5. Final Answer:

    B → Option B

  6. Quick Check:

    B at extreme left (pos1) ✅; B is 3 left of F (1 → 4) ✅; D between B & C ✅; A right of F and not adjacent ✅
Hint: Place fixed-distance patterns (like 'third left') first, then insert adjacency blocks and non-adjacent constraints.
Common Mistakes: Putting A adjacent to F or not ensuring D sits between B and C.
3. Five persons A, B, C, D, and E are sitting in a row. C is to the immediate right of A. D is to the right of C but not at the end. B is at one end. Who is sitting at the other end?
easy
A. A
B. D
C. E
D. C

Solution

  1. Step 1: Form block A-C

    C sits immediately right of A → (A-C).

  2. Step 2: D is to the right of C but not at the end

    So D must be somewhere to the right but not final position.

  3. Step 3: B sits at one end

    Place B at left end → sequence B, A, C, D, E fits all clues.

  4. Final Answer:

    E → Option C

  5. Quick Check:

    C right of A ✅, D right of C (not at end) ✅, B at left end ✅
Hint: Build pair relationships (A-C) before checking ends.
Common Mistakes: Placing D at the end.
4. Six people L, M, N, O, P, and Q sit in a row facing north. L is third to the left of P. O is not at any end. M sits second to the right of Q. Who are sitting in the two middle positions?
medium
A. L and O
B. Q and P
C. M and O
D. Q and M

Solution

  1. Step 1: Interpret clues

    ‘L is third to the left of P’ → pattern L _ _ P (difference of 3).
    ‘M sits second to the right of Q’ → pattern Q _ M (M is two seats to right of Q).
    ‘O is not at any end’ → O must be placed in positions 2-5.

  2. Step 2: Construct a valid placement

    Place Q at pos1 so M becomes pos3 (Q pos1, M pos3). To satisfy L _ _ P, place L at pos2 and P at pos5 (L pos2, P pos5). Put O at pos4 (not an end). The remaining person N goes to pos6. Full order: Q, L, M, O, P, N.

  3. Step 3: Verify all clues

    L (pos2) is third left of P (pos5) ✅; M (pos3) is second right of Q (pos1) ✅; O (pos4) is not at an end ✅.

  4. Final Answer:

    M and O → Option C

  5. Quick Check:

    Middle positions for six people are 3rd & 4th → pos3=M and pos4=O ✅
Hint: Place the fixed-distance clues first (third/second), then slot the 'not end' person into a middle spot.
Common Mistakes: Miscounting the gap for 'third to the left' (should be two people between).
5. Seven friends A, B, C, D, E, F, and G sit in a row facing north. E is between A and D. C is to the left of A but not adjacent. B sits at one end. F is to the right of D. Who are sitting next to G?
medium
A. C and A
B. A and F
C. D and F
D. B and C

Solution

  1. Step 1: E is between A and D

    → A-E-D forms a contiguous block.

  2. Step 2: C is to the left of A but not adjacent

    → there must be exactly one person between C and A.

  3. Step 3: F is to the right of D

    → D must have F somewhere to its right.

  4. Step 4: B sits at one end

    → placing B at the left end yields a valid arrangement that fits all clues: B, C, G, A, E, D, F.

  5. Step 5: Identify neighbours of G

    G has C on the left and A on the right.

  6. Final Answer:

    C and A → Option A

  7. Quick Check:

    E is between A and D ✅; C is left of A with one gap (not adjacent) ✅; B at an end ✅; F is to the right of D ✅
Hint: Use 'between' blocks as anchors, place non-adjacent constraints with a single gap, then fit end constraints.
Common Mistakes: Misplacing C adjacent to A or selecting the wrong neighbour due to ambiguous arrangements.

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