Circular arrangement is one of the most frequently tested puzzle types in IBPS PO Prelims, typically appearing as a set of 5 questions worth 5 marks. The concept involves placing persons around a circular table based on given conditions about their positions relative to each other.
What makes circular arrangement tricky is the "facing direction" variable—persons may face the centre or face outside, which reverses the meaning of "left" and "right." Mastering this single concept is the key to unlocking 5 easy marks. The difficulty level in Prelims is moderate, usually involving 6–8 persons with straightforward clues. Once you build a reliable solving method, these questions become quick wins.
Students who excel at circular arrangement develop strong spatial visualization and learn to extract "definite" information from vague-sounding clues. This skill transfers directly to linear and square arrangements as well.
Key Concepts
**Facing centre vs facing outside**: When facing the centre, the person's left is your clockwise direction; when facing outside, the person's left is your anticlockwise direction.
**Immediate neighbour**: The two persons sitting directly adjacent (one on each side) to a given person.
**Opposite position**: In an 8-person circle, the person sitting 4 places away (half the total) is directly opposite. For 6 persons, it's 3 places away.
**Counting positions**: "A sits second to the left of B" means starting from B, count 2 positions in the direction of B's left hand (depends on facing direction).
**Definite vs conditional clues**: Start solving with clues that fix exact positions or relationships, not with "either/or" clues.
**Two possible cases**: Most puzzles yield 2 possible arrangements initially; additional clues eliminate one case.
**Clockwise and anticlockwise are constant**: These directions never change regardless of facing direction—only "left" and "right" interpretation changes.
Key Facts
1. **Left-Right Rule (Facing Centre)**: Left = Anticlockwise, Right = Clockwise
2. **Left-Right Rule (Facing Outside)**: Left = Clockwise, Right = Anticlockwise
3. **Opposite Position Formula**: For n persons, opposite = n/2 positions away
4. **"Second to the left"**: Skip one person, land on the second in the left direction
5. **Mixed facing**: When some face centre and some face outside, determine each person's facing before applying left-right
6. **Neighbour check**: Two persons are neighbours if exactly one position separates them (zero gap)
7. **"Not adjacent"**: At least one person sits between them
8. **Gap calculation**: If A is 3rd to the right of B, then B is (n−3)th to the right of A in an n-person circle
Worked Examples
### Example 1: Basic 6-Person Circle (All Facing Centre)
**Problem**: Six persons A, B, C, D, E, F sit around a circular table facing the centre.
B sits second to the left of D
A is an immediate neighbour of B
F sits opposite to A
C is not adjacent to D
**Solution**:
Step 1: Place D at any position (say 12 o'clock). B sits second to left of D. Facing centre, left = anticlockwise. Count 2 anticlockwise from D → B is at 8 o'clock position.
Step 2: A is immediate neighbour of B. Two possibilities: A at 10 o'clock or A at 6 o'clock.
Step 3: F sits opposite to A. In 6-person circle, opposite = 3 positions away.
If A at 10 o'clock, F at 4 o'clock
If A at 6 o'clock, F at 12 o'clock (but D is there). So A must be at 10 o'clock, F at 4 o'clock.
Step 4: Remaining positions (6 o'clock and 2 o'clock) for C and E. C is not adjacent to D. D's neighbours are 10 o'clock (A) and 2 o'clock. So C cannot be at 2 o'clock. C is at 6 o'clock, E at 2 o'clock.
**Final arrangement (clockwise from D)**: D – E – F – B – C – A
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### Example 2: 8-Person Circle with Mixed Facing
**Problem**: Eight persons P, Q, R, S, T, U, V, W sit around a circular table. Some face centre, some face outside.
P faces the centre and sits third to the right of Q
Q faces outside
R is an immediate neighbour of P and faces outside
**Solution**:
Step 1: Fix P at 12 o'clock facing centre. P is third to right of Q means Q is third to left of P.
Step 2: P faces centre, so P's left = anticlockwise. Count 3 anticlockwise → Q at 7:30 position (or position 4 if numbering 1–8).
Step 3: Q faces outside. Verify: From Q's perspective facing outside, Q's right = anticlockwise. Third to right of Q anticlockwise = position 1 = P. Confirmed.
Step 4: R is immediate neighbour of P (positions 2 or 8) and faces outside.
This gives two cases to continue with remaining clues.
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### Example 3: Quick Position Calculation
**Question**: In an 8-person circle facing centre, if A is 5th to the left of B, what is B's position relative to A?
**Solution**: In 8-person circle, 5th to left = (8−5) = 3rd to right. So B is 3rd to the right of A.
Common Mistakes
**Ignoring facing direction when counting left/right** → Always determine facing direction first, then apply left-right rule. Draw an arrow showing the person's face.
**Confusing "second to left" with "two positions away"** → "Second to left" means count 2 positions; the second person you land on. Not the same as counting gaps.
**Assuming everyone faces the centre** → Read the question stem carefully. "Some face centre, some face outside" changes everything.
**Starting with vague clues** → Don't begin with "A is not adjacent to B." Start with clues that fix definite positions like "A sits third to the right of B."
**Forgetting circles have no ends** → Unlike linear arrangements, the "last" person is adjacent to the "first." Always complete the loop mentally.
Quick Reference
Facing Centre: Left = Anticlockwise, Right = Clockwise
Facing Outside: Left = Clockwise, Right = Anticlockwise
Opposite in 8-person circle = 4 positions away
Opposite in 6-person circle = 3 positions away
Always start solving with the most definite clue
Draw facing arrows for mixed-facing problems—saves errors and time
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Invite your prep group — read the same notes, then discuss doubts in this topic's shared room.