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Ranking and Arrangement Linear Circular Questions for BIHAR POLICE CONSTABLE

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📍 Ranking and Arrangement Linear Circular is also tested in:
UP POLICE CONSTABLE (40)
Why this topic matters · 8 min read
Ranking and Arrangement questions appear in almost every Bihar Police Constable reasoning section (typically 3-5 questions per paper). These test your ability to deduce positions of people/objects in a line or circle based on given clues. Linear arrangements are more common (60% of questions), circular slightly trickier. Success depends on drawing diagrams correctly and tracking left-right or clockwise-anticlockwise directions. High accuracy = high score; careless direction errors cost marks.

Linear Arrangement Basics

In linear arrangement, people or objects sit in a straight line (usually left to right, or north to south). You are given clues about relative positions and must deduce the exact order. The key is to establish a reference direction immediately: decide which end is LEFT and which is RIGHT, then stick to it. Most Bihar Police papers use left-right convention (left = position 1, right = position n). Always draw a line with boxes and fill in names as you solve. Never rely on memory alone.

  • Always draw a horizontal line with boxes for each position before solving
  • Fix LEFT and RIGHT direction at the start; do not flip mid-solution
  • Use clues like 'A is to the left of B' to eliminate positions
  • Count positions from left: position 1 is leftmost, position n is rightmost
  • If stuck, try working backwards from the most restrictive clue first

Circular Arrangement Basics

In circular arrangement, people sit around a table or in a circle. There is no fixed left or right; instead, use CLOCKWISE and ANTICLOCKWISE (or FACING INWARD vs OUTWARD). The trickiest part: when someone faces inward, their left and right reverse relative to an external observer. Always note the facing direction. Draw a circle, mark positions (1-n going clockwise), and note who faces which way. Circular problems often have 5-8 people and appear in 1-2 questions per paper.

  • Draw a circle and number positions clockwise (1 at top, increasing clockwise)
  • Always confirm: are people facing inward or outward?
  • If facing inward, LEFT for that person = CLOCKWISE from external view
  • If facing outward, LEFT for that person = ANTICLOCKWISE from external view
  • Use 'immediate left' and 'immediate right' carefully; count positions, not jumps

Ranking (Position-Based) Problems

Ranking problems ask about order or sequence: who is 1st, 2nd, 3rd, etc. in a race, exam score, or height. These differ from arrangement because there is no physical seating; it is purely a numerical rank. Clues often use comparative language: 'A scored higher than B', 'C is taller than D'. Build a chain: if A > B > C, then A is ranked highest. Watch for ties and ambiguities in the clue wording.

  • Build a ranking chain from clues; use symbols > or < consistently
  • If A > B and B > C, then A > B > C (transitivity applies)
  • Clues like 'A is not the tallest' eliminate one position, not a rank
  • Always check: does the final ranking satisfy ALL clues?
  • In ties, re-read the clue; most exams avoid ties unless explicitly stated

Common Clue Patterns in Bihar Police Papers

Bihar Police Constable exams use a standard set of clue phrasings. Recognizing these patterns speeds up solving. Examples: 'A sits to the left of B' (linear, A is left), 'A is immediate left of B' (adjacent, no gap), 'A is 3rd from left' (fixed position), 'A sits between B and C' (A is in the middle of B and C), 'A faces B' (circular, they are opposite or adjacent depending on context). Misreading a clue is the #1 error. Read each clue twice before using it.

  • Immediate left/right = adjacent, no one in between
  • Nth from left/right = count from that end; 1st from left = leftmost
  • Between = A is strictly in the middle of B and C (B-A-C or C-A-B)
  • Faces = in circular, usually opposite or specified direction
  • Not next to = at least one person between them

Step-by-Step Solving Strategy

Do not jump into solving. Follow this order: (1) Count total people/objects. (2) Draw the diagram (line or circle). (3) List all clues. (4) Identify the most restrictive clue (e.g., 'A is 2nd from left' is more restrictive than 'A is left of B'). (5) Place the most restrictive clue first. (6) Use other clues to fill gaps. (7) Verify the final arrangement against all clues. This method reduces errors and saves time. In Bihar Police exams, you have ~1.5 minutes per question; a clear method lets you solve in 1 minute and verify in 30 seconds.

  • Start with fixed position clues (e.g., 'A is 3rd from left'), not relative ones
  • Once you place one person, re-check which clues now apply
  • If two clues conflict, re-read them; one may be misunderstood
  • Verify: go through each clue and confirm the final answer satisfies it
  • If multiple answers seem possible, you missed a clue or misread it
⚠ Common mistakes to avoid
  • Flipping left-right direction mid-solution: decide at the start and lock it. If you change direction, all positions flip and you get wrong answers.
  • Confusing 'immediate left' with 'to the left': immediate = adjacent (next to), to the left = anywhere on the left side. 'A is immediate left of B' means A is directly next to B on the left; 'A is left of B' means A is somewhere to the left.
  • In circular, forgetting to reverse left-right for inward-facing people: if A faces inward, A's left is clockwise from an external view. Aspirants often treat all people as facing the same way and get circular questions wrong.
  • Not drawing the diagram: trying to solve in your head leads to position errors. Always draw, even if it takes 20 extra seconds. You will solve faster and more accurately.
  • Misreading 'between': 'A is between B and C' means A is strictly in the middle (B-A-C or C-A-B), not just somewhere in the range. If you place A anywhere else, you violate the clue.
🧠 Memory aids
  • LINEAR = LEFT-RIGHT, CIRCULAR = CLOCKWISE-ANTICLOCKWISE. Remember: Linear is a line (left-right), Circular is a loop (clockwise).
  • DRAW FIRST, SOLVE SECOND. A diagram is your safety net. No diagram = high error rate.
  • MOST RESTRICTIVE CLUE FIRST. Clues with fixed positions (e.g., '3rd from left') are stronger than relative clues (e.g., 'left of'). Start with the strongest.
  • INWARD FACING = LEFT REVERSES. In circular, if someone faces inward, their left is your clockwise. Mnemonic: Inward = Inverted directions.
🎯 BIHAR POLICE CONSTABLE exam tips
  • Bihar Police papers typically have 3-5 ranking/arrangement questions in a set of 20-25 reasoning questions. They are medium difficulty: not the hardest, but require care. Expect 1-2 linear, 1-2 circular, and 1 ranking question per paper.
  • Time management: allocate 1.5 minutes per question. If you get stuck after 1 minute, mark and move; come back if time permits. Rushing leads to direction errors.
  • Recent papers (2022-2024) show a trend toward circular arrangements with inward-outward facing. Practice circular problems more than linear if you are weak there.
  • Clue wording in Bihar Police is usually clear and unambiguous, unlike some other exams. Re-read once, then trust your reading. Over-interpreting clues wastes time.
  • In the exam, use a pen to draw your diagram on the question paper itself (if allowed). Pencil smudges and erasing wastes time. A clear, visible diagram is your best tool.

Sample questions

Q1 · medium · AI-verified
In a class, Ravi ranks 7th from the top. His rank from the bottom is 38. How many students are in the class?
  1. 42
  2. 43
  3. 44
  4. 45
Q2 · medium · AI-verified
In a competition, Pradeep got a rank which is 18th from the top and 29th from the bottom among the passed students. 6 students failed the exam. How many students appeared in the exam?
  1. 50
  2. 53
  3. 52
  4. 51
Q3 · hard · AI-verified
Five persons A, B, C, D and E are sitting in a straight line. D is not at any extreme end. A is second to the left of E. D is third to the right of B. C is to the immediate left of A. What is the position of E from the right end?
  1. 3rd
  2. 1st
  3. 4th
  4. 2nd
Q4 · medium · AI-verified
In a circular arrangement of 5 persons A, B, C, D, E sitting around a table facing the centre: A is 2nd to the right of C. B is to the immediate right of A. D is not adjacent to C. Who is to the immediate left of C?
  1. B
  2. A
  3. E
  4. D
Q5 · easy · AI-verified
In a row, A is 10th from the front and 15th from the back. How many people are in the row?
  1. 25
  2. 24
  3. 26
  4. 23
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