ZE
ZESTEXAM

SSC CPO Circular Seating Arrangement

Study Material · Concept Notes · Shortcuts

This page covers SSC CPO Circular Seating Arrangement with complete concept notes, 4 graded practice MCQs, key points and exam-specific tips. Free to study.

0 PYQs
none yet
4 Practice
MCQs
10 Key Points
to remember
Free
no login needed
Take Free Mock →Full Practice Set
Also for:CGLCHSLMTSGD
PYQs
0
Practice
4
Key Points
10
Access
Free
Concept Notes

Circular Seating Arrangement— Rules & Concept

Core ConceptRead this first — the foundation of the topic
Core Concept

In circular seating, positions are relative to each other. There is no first or last position. The key is to fix one person's position first, then arrange others relative to that person

Key Rules

1) Always fix one person's position to eliminate rotational possibilities 2) Clockwise and anti-clockwise directions matter 3) 'Opposite' means diametrically across 4) Adjacent means immediate left or right 5) Use process of elimination systematically.

Formula BlockMemorise — at least one formula appears in every paper
Total circular arrangements of n people = (n-1)! This is because we fix one position to avoid counting rotations as different arrangements. For restrictions like couples sitting together, treat them as single units.
Exam PatternsWhat examiners ask — read before attempting PYQs

SSC CGL typically asks 3-5 questions per set. Common question types include: immediate neighbors, opposite positions, counting positions between people, and conditional arrangements. Most questions give 6-8 people with 4-6 conditions.

ShortcutsUse these to save 30–60 seconds per question

1 - The Fixed Position Method: Always start by placing one person at the 'top' of the circle. This eliminates confusion about rotational arrangements. Mark positions as 1,2,3... clockwise from this fixed person. Shortcut Trick 2 - The Opposite Formula: In a circle of n people, if person A is at position x, then the person opposite to A is at position x + n/2 (if n is even).

For odd numbers, no one sits exactly opposite.

Worked ExampleSolve this step-by-step before moving on
1
Step 1

Fix A at position 1 (top)

2
Step 2

B sits two places right of A, so B at position 3

3
Step 3

C sits opposite A. In 6-person circle, opposite of position 1 is position 4. So C at position 4

4
Step 4

D sits immediately left of C. Left of position 4 is position 3. But B is already there. This means left of C is position 5. Wait - let me recalculate. If we number 1,2,3,4,5,6 clockwise, then left of 4 is position 3. Since B occupies 3, there's a contradiction. Let me recheck: immediate left of position 4 is position 5 (going anti-clockwise). So D at position 5.

5
Step 5

Remaining positions are 2 and 6. E and F occupy these. Answer: E sits at either position 2 or 6. Worked Example 2: Seven people sit in a circle. P sits third to the right of Q. R sits second to the left of P. How many people sit between Q and R when counted clockwise from Q? Solution Step-by-Step:

1
Step 1

Fix Q at position 1

2
Step 2

P sits third to right of Q, so P at position 4

3
Step 3

R sits second to left of P. Left of position 4 going anti-clockwise: position 3 is first left, position 2 is second left. So R at position 2

4
Step 4

Count from Q(position 1) to R(position 2) clockwise: only position 7 comes between them Answer: 1 person sits between Q and R. Shortcut Trick 3 - The Gap Counting Formula: To count people between positions A and B clockwise: if B > A, count = B - A - 1. If B < A, count = n - A + B - 1 (where n is total people). Most Common Trap: Students often confuse 'left' and 'right' directions. Remember: in clockwise numbering, right means higher numbers, left means lower numbers. Also, 'second to the right' means there's one person in between, not sitting in the second chair. Many students miss this and count wrong positions.

Key Points to Remember

  • Always fix one person's position first to avoid rotational confusion
  • In circular arrangement of n people, total arrangements = (n-1)!
  • Opposite position formula: if person at position x, opposite at x + n/2 (for even n)
  • Second to the right means one person sits in between, not the second position
  • Clockwise numbering: right = higher numbers, left = lower numbers
  • Gap counting formula: between A and B clockwise = B-A-1 (if B>A)
  • For odd number of people, no one sits exactly opposite to anyone
  • Adjacent means immediate left or immediate right neighbor only
  • Use elimination method when multiple conditions are given
  • Draw the circle and number positions 1,2,3... for visual clarity

Exam-Specific Tips

  • Circular arrangements of n distinct objects = (n-1)! permutations
  • In 6-person circle, opposite positions are (1,4), (2,5), (3,6)
  • In 8-person circle, positions 1 and 5 are diametrically opposite
  • SSC CGL typically gives 6-8 people in circular seating questions
  • Maximum people between any two positions in n-person circle = n-3
  • In odd-numbered circles (5,7,9 people), no exact opposite positions exist
  • Most SSC circular arrangement sets contain 3-5 questions with 4-6 conditions
  • Immediate left of position 1 in n-person circle is position n
Practice MCQs

Circular Seating Arrangement — Practice Questions

4graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

Four friends—Arun, Bhavna, Chetan, and Divya—sit around a circular table. Arun sits immediately to the right of Bhavna. Chetan sits immediately to the right of Arun. Who sits immediately to the right of Divya?

Practice 2easy

Four people—Priya, Qasim, Ravi, and Sana—sit around a circular table facing inward. Ravi sits second to the right of Priya. Qasim sits immediately to the left of Priya. What is Sana's position relative to Priya?

Practice 3easy

Six people—A, B, C, D, E, and F—sit around a circular table. A sits immediately to the left of B. D sits immediately to the right of B. C sits immediately to the left of A. Who sits immediately to the right of D?

Practice 4easy

Four friends—Arun, Bhavna, Chetan, and Divya—sit around a circular table. Arun sits immediately to the right of Bhavna. Chetan sits immediately to the left of Bhavna. Who sits immediately to the right of Divya?

60-Second Revision — Circular Seating Arrangement

  • Remember: Fix one person first, then arrange others relative to that position
  • Formula: Opposite position = current position + n/2 (for even n only)
  • Trap: 'Second to right' means one person between, not second position
  • Trick: Number positions 1,2,3... clockwise for systematic solving
  • Direction: Right = clockwise = higher numbers, Left = anti-clockwise = lower numbers
  • Gap formula: People between A and B = |B-A|-1 positions
  • Quick check: Total positioned people should equal given number
←Linear Seating ArrangementFloor-Based Puzzle→
Studied the notes? Now test yourself
See how Circular Seating Arrangement appears in the real SSC CPO paper
Full timed mock · Instant All-India percentile · Free
Start Free Mock →Practice Panel
✓ Free forever for basic prep✓ No app download✓ Real exam-pattern questions✓ 12,000+ aspirants
Test Circular Seating Arrangement under exam conditions
Free SSC CPO mock · instant rank · no login
Free Mock →