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SSC CGL Circular Seating Arrangement

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This page covers SSC CGL Circular Seating Arrangement with complete concept notes, 21 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Circular Seating Arrangement— Rules & Concept

Core ConceptRead this first — the foundation of the topic

CIRCULAR SEATING ARRANGEMENT — COMPLETE GUIDE FOR SSC CGL --- CORE CONCEPT ---

In a circular arrangement, people sit around a circle (like a round table). Unlike a straight line, there is no fixed starting point. So positions are always relative to each other — not absolute. Think of it this way: If 5 friends sit in a straight line, the 1st seat is fixed. But if they sit around a round table, any seat can be the 'first' seat. That is why circular arrangements work differently.

--- KEY RULES / PROPERTIES --- Rule 1 — FACING DIRECTION MATTERS

• Facing Centre: Left = anti-clockwise direction. Right = clockwise direction. • Facing Outside: Left = clockwise direction. Right = anti-clockwise direction.

This single rule decides everything. Fix this in your mind before solving any question. Rule 2 — TOTAL ARRANGEMENTS

• For a straight line of n people: n! arrangements • For a circular arrangement of n people (facing centre): (n-1)! arrangements

Reason: In a circle, one person is fixed to remove repetition. The rest arrange around them. Rule 3 — NECKLACE / KEYRING ARRANGEMENTS

• When clockwise and anti-clockwise look the same (like a necklace): (n-1)! / 2 arrangements Rule 4 — NEIGHBOURS

• In a circle of n people, each person has exactly 2 immediate neighbours — one to the left, one to the right. ---

Formula BlockMemorise — at least one formula appears in every paper

--

Circular arrangement (facing centre): (n-1)!

Necklace / keychain type: (n-1)! divided by 2

Total neighbours of any one person: Always 2

Person sitting exactly opposite in even-n circle: (n/2) seats away

---

Exam PatternsWhat examiners ask — read before attempting PYQs
Common question types

Who sits to the immediate left/right of Person X? 2. Who sits exactly opposite to Person X? 3. How many people sit between Person A and Person B? 4. Which of the following pairs sit adjacent to each other? 5.

What is the position of Person X with respect to Person Y? Tip: About 60-70% of marks in seating arrangement come from just 2 question types — immediate neighbour and opposite person. --- SHORTCUT / TRICK SECTION --- SHORTCUT 1 — THE ANCHOR METHOD Always fix the person with the MOST clues as your anchor. Place them at the top of your circle (12 o'clock position). Build all other positions around them. This saves 30-40 seconds per question set. SHORTCUT 2 — LEFT-RIGHT FLIP TRICK If the question says 'facing outside', simply swap all left and right clues before solving.

Convert it to a 'facing inside' problem. Now solve normally. SHORTCUT 3 — OPPOSITE SEAT FORMULA In a circle of n people (n is even), the person sitting exactly opposite to someone is always (n/2) positions away — either clockwise or anti-clockwise

Example

In a circle of 8, the person sitting opposite is always 4 seats away. ---

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

Fix A at 12 o'clock position.

2
Step 2

B is to the right of A (clockwise) → place B at 2 o'clock.

3
Step 3

D is opposite B (5 people, so 2-3 seats away) → D is at 8 o'clock (across from B... wait, 5 people means no exact opposite, but let us re-read). For 5 people, 'opposite' sometimes means 2 seats away. Place D two seats anti-clockwise from B → D at 10 o'clock.

4
Step 4

E is to the right of D (clockwise) → E at 12 o'clock? No, A is there. Try D at 8 o'clock. E to right of D → E at 10 o'clock.

5
Step 5

C is to the left of E (anti-clockwise from E) → C at 8 o'clock.

6
Step 6

Check remaining seat for A, B, C, D, E around circle: A(12), B(2-3 o'clock area), then fill D, E, C in remaining seats. Final Circle (clockwise): A → B → E → D → C → back to A. Immediate left of C (anti-clockwise from C) = A. Answer: A sits to the immediate left of C. --- WORKED EXAMPLE 2 --- Problem: 6 people P, Q, R, S, T, U sit in a circle facing the centre. P sits 3rd to the right of Q. S sits 2nd to the left of P. T is an immediate neighbour of both Q and R. U sits between S and R. Who is sitting opposite Q?

1
Step 1

Fix Q at top (12 o'clock). Label positions 1-6 clockwise.

2
Step 2

P is 3rd to the right of Q → P is at position 4 (clockwise: Q=1, skip 2,3, land on 4).

3
Step 3

S is 2nd to the left of P. Left = anti-clockwise. From P(4), 2 anti-clockwise = position 2. So S = position 2.

4
Step 4

T is immediate neighbour of both Q(1) and R. Q's neighbours are positions 2(S) and 6. So T = position 6. R must be neighbour of T too → R = position 5.

5
Step 5

U is between S(2) and R(5). Remaining seat = position 3. U = position 3. Final circle (clockwise): Q(1), S(2), U(3), P(4), R(5), T(6). Opposite Q (position 1) = position 4 = P. Answer: P sits opposite Q. ---

Exam TrapsCommon mistakes students make — avoid these

— THE #1 TRAP --- STUDENTS CONFUSE LEFT AND RIGHT WHEN PEOPLE FACE OUTSIDE. When people face the centre, your left and right match the person's left and right. But when people face OUTSIDE (away from centre), their left and right are FLIPPED relative to the diagram. Most students forget to flip and lose all 4-5 questions in the set.

Always check facing direction FIRST before placing anyone.

Key Points to Remember

  • In a circular arrangement, positions are RELATIVE, not fixed — there is no absolute first seat.
  • Formula: Circular arrangements of n people = (n-1)! when all face the centre.
  • Formula: Necklace/keychain arrangement = (n-1)! divided by 2 (clockwise = anti-clockwise).
  • Facing Centre rule: Left of a person = anti-clockwise direction; Right = clockwise direction.
  • Facing Outside rule: Left and Right are SWAPPED compared to facing-centre — flip all clues before solving.
  • Shortcut: Fix the person with the most clues as your anchor at 12 o'clock position to save time.
  • Formula: In a circle of n people (n = even), opposite person is always n/2 seats away.
  • In a circle of 5 or any odd number, NO person has an exact opposite seat — a common exam trap.
  • Each person in a circular arrangement always has exactly 2 immediate neighbours.
  • Shortcut: Convert 'facing outside' problems to 'facing inside' by flipping all left-right clues — then solve normally.

Exam-Specific Tips

  • Circular arrangement of n distinct people facing centre = (n-1)! total arrangements. Example: 6 people = 5! = 120 arrangements.
  • Necklace/keychain arrangement formula = (n-1)!/2 because flipping gives the same arrangement.
  • In a circle of 8 people, the person sitting exactly opposite is always 4 seats away (8/2 = 4).
  • In circles with ODD number of people, NO person has an exact diagonally opposite seat — trick used frequently in SSC CGL.
  • When people face OUTSIDE the circle, Left becomes Clockwise and Right becomes Anti-clockwise — opposite to the facing-centre rule.
  • SSC CGL typically gives 4-5 questions per seating arrangement set; the arrangement is always to be decoded first before answering any question.
  • The Anchor Method: Fixing the most-clued person saves approximately 30-40 seconds per question set in exam conditions.
  • In a straight line of n people, total arrangements = n! (NOT n-1!), which is double-checked in mixed question sets.
Practice MCQs

Circular Seating Arrangement — Practice Questions

21graded MCQs · easy to hard · full solution & trap analysis · showing 20 of 21

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Practice 1easy

Four friends — Aman, Bhavna, Chetan, and Diya — are sitting around a circular table. Aman is sitting immediately to the right of Bhavna. Chetan is sitting immediately to the left of Bhavna. Who is sitting immediately to the right of Diya?

Practice 2easy

Four students—Raj, Sam, Tina, and Uma—sit around a circular table. Raj is not adjacent to Sam. Tina sits immediately to the right of Raj. Uma sits immediately to the left of Raj. What is the seating order clockwise starting from Raj?

Practice 3easy

Four friends—Arun, Bina, Chetan, and Diya—sit around a circular table. Arun sits immediately to the right of Bina. Chetan sits immediately to the left of Bina. Where does Diya sit?

Practice 4easy

Four friends—Arun, Bhavna, Chitra, and Deepak—sit around a circular table. Bhavna sits immediately to the right of Arun. Chitra sits immediately to the right of Bhavna. Where does Deepak sit?

Practice 5easy

Seven people sit around a circular table. Person X sits third to the right of Person Y. If we count counter-clockwise from Y to X, how many people sit between Y and X?

Practice 6easy

Four friends—Arun, Bhavna, Chitra, and Deepak—sit around a circular table. Arun sits immediately to the right of Bhavna. Chitra sits immediately to the left of Bhavna. Where does Deepak sit?

Practice 7easy

Six colleagues—A, B, C, D, E, and F—sit around a circular conference table. A sits immediately to the right of B. D sits immediately to the right of A. C sits immediately to the right of D. If E and F are the remaining two, and E sits immediately to the right of C, where does F sit?

Practice 8easy

Four students—Isha, Jaya, Karan, and Lina—sit around a circular table. Isha sits immediately to the left of Jaya. Karan sits immediately to the left of Isha. Lina sits in the remaining position. Which of the following is true?

Practice 9easy

Four people—M, N, O, and P—sit around a circular table. M sits immediately to the right of N. O sits immediately to the right of M. P sits in the remaining position. If we go clockwise from N, in what order do we encounter all four people?

Practice 10easy

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

Practice 11easy

Five people—P, Q, R, S, and T—sit around a circular table facing the centre. Q sits third to the right of P. How many people sit between P and Q if we count clockwise from P to Q?

Practice 12easy

Four friends—Arun, Bhavna, Chitra, and Deepak—sit around a circular table. Arun sits immediately to the right of Bhavna. Chitra sits immediately to the left of Bhavna. Where does Deepak sit?

Practice 13easy

Six people—A, B, C, D, E, and F—sit around a circular table. A sits third to the right of B. C sits immediately to the left of A. D sits immediately to the right of B. E and F occupy the remaining seats. If we count clockwise from B, who is the second person?

Practice 14easy

Five friends—Aman, Bhavesh, Chirag, Diya, and Esha—sit around a circular table. Aman sits immediately to the left of Bhavesh. Chirag sits second to the right of Aman. Diya sits immediately to the right of Chirag. Where does Esha sit?

Practice 15easy

Five people—P, Q, R, S, and T—sit around a circular table facing the center. Q sits third to the right of P. R sits immediately to the left of P. Who sits immediately to the right of S?

Practice 16easy

Four people—Ravi, Sita, Tina, and Uday—sit around a circular table. Ravi does not sit opposite to Sita. Tina sits immediately to the right of Ravi. Which of the following must be true?

Practice 17easy

Five people—M, N, O, P, and Q—sit around a circular table facing the center. O sits second to the left of M. P sits immediately to the right of M. N and Q are the remaining two. If N sits immediately to the left of M, who sits immediately to the right of O?

Practice 18easy

Five people—P, Q, R, S, and T—sit around a circular table facing the center. Q sits second to the left of P. R sits immediately to the right of P. Who sits immediately to the left of Q?

Practice 19easy

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

Practice 20easy

Four colleagues—Vikram, Xena, Yash, and Zara—sit around a circular table for a meeting. Vikram sits opposite Yash. Xena sits immediately to the right of Vikram. Which statement is definitely true?

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60-Second Revision — Circular Seating Arrangement

  • Remember: Facing Centre → Left = Anti-clockwise, Right = Clockwise. Facing Outside → Left = Clockwise, Right = Anti-clockwise. Check this FIRST.
  • Formula: Circular arrangements = (n-1)! for facing-centre; divide by 2 for necklace/keychain type.
  • Formula: Opposite seat = n/2 positions away — only works when n is EVEN. Odd-n circles have NO exact opposite.
  • Trap: When people face OUTSIDE, flip all Left and Right clues before drawing. Most students forget this and lose the entire set.
  • Shortcut: Always fix the person mentioned in the MOST clues at 12 o'clock (anchor method). Build all others around them.
  • Shortcut: Count neighbours carefully — immediate left and immediate right only. 'Second to the left' means skip one person.
  • Trap: Do not mix up n! (straight line) with (n-1)! (circular) in arrangement-count questions — SSC CGL tests this directly.
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