Seating Arrangement (Linear & Circular) for SSC MTS — Complete Guide

intermediate 18 min read

Concept

Seating arrangement questions give you a group of people and a set of positional clues. Your job is to reconstruct who sits where — then answer one or two questions about that final arrangement.

Think of it like assembling a jigsaw puzzle. Each clue is a piece. Some pieces lock together immediately ("D is the immediate neighbour of C"). Others only make sense after you've placed two or three people first. The skill is knowing which clue to start with and how to chain the rest.

There are two main types you'll see in SSC MTS:

Linear Arrangement — people sit in a straight row, facing north (or facing the examiner). Positions are numbered left to right. "To the right of X" means one step toward the higher-numbered end.

Circular Arrangement — people sit around a table, usually facing the centre. This changes everything about left and right. When someone faces the centre, their left is the anticlockwise direction and their right is the clockwise direction. This is the single biggest source of errors — more on this below.

Here's the key analogy. Imagine you're standing inside a clock, facing inward. The person to your left is at the 11 o'clock side of you, and the person to your right is at the 1 o'clock side. Now if someone sat outside the clock facing inward, their left and your left would be mirror images of each other. SSC MTS almost always specifies "facing the centre" — so everyone's left and right are from the perspective of someone facing inward.

For SSC MTS, circular arrangements with 6-8 people are the most frequent type. Linear questions tend to be smaller (5-6 people) and faster to solve. A well-practised student can crack a standard circular question in 60-90 seconds once the method is automatic.


Deep Dive

Linear Arrangement: The Foundation

In a linear arrangement, draw a straight line with numbered boxes (1 = leftmost). Assign positions based on clues.

Key vocabulary to watch:

Clue priority for linear arrangements:

  1. Start with clues that give you an exact position ("R is not at the extreme end" + "U sits fourth to the right of R" — together these fix R's possible positions to a small set)
  2. Use "immediate neighbour" clues to fill gaps
  3. Use negative clues ("not at the extreme end") last, to eliminate options

Look at the PYQ with P, Q, R, S, T, U in a line. "U is fourth to the right of R, and R is not at the extreme end." If there are 6 people, positions 1-6, and U = R + 4, then R can only be at position 1 or 2. But R is not at position 1 (extreme end), so R is at position 2 and U is at position 6.

Now "T is the immediate neighbour of U and S" — T is at position 5, and S is at position 4. "Q sits third to the left of S" — S is at 4, so Q is at position 1. That leaves P at position 3. Final arrangement: Q(1), R(2), P(3), S(4), T(5), U(6). Who is immediately to the right of R? P.

This entire chain took 5 logical steps. Write it down, don't try to hold it in your head.

Circular Arrangement: The Real Challenge

Always draw a circle. Mark the top as a reference point. Since everyone faces the centre:

Step 1: Pick the anchor clue. Look for a clue that mentions one specific person's position relative to another and gives you a distance. Something like "B is second to the left of C."

Step 2: Place the anchor pair. Put C at the top. Then B is two steps anticlockwise (to the left when facing centre) from C.

Step 3: Chain the remaining clues. After placing your first 2-3 people, each new clue should let you place one more. If a clue doesn't help yet, skip it and come back.

Step 4: Use elimination clues at the end. Clues like "A is not the immediate neighbour of D" won't place anyone directly — use them only to distinguish between two possible arrangements at the end.

The "Facing Centre" Direction Rule — Memorise This

When the table is circular and everyone faces the centre:

| Phrase | Direction on your diagram | |---|---| | "Second to the left of X" | 2 steps anticlockwise from X | | "Third to the right of X" | 3 steps clockwise from X | | "Immediate left of X" | 1 step anticlockwise from X |

If the question says "facing outward" (rare in SSC MTS), everything reverses — left becomes clockwise. Since SSC MTS almost exclusively uses "facing centre," this table above is what you need.

7-Person Circular Questions: The Standard SSC MTS Format

With 7 people around a table, each person has exactly 6 possible positions relative to any other person (1 seat left, 2 seats left, 3 seats left, 1 seat right, 2 seats right, 3 seats right). Note that "3 to the left" and "4 to the right" are the same position — this is a common trap.

When you have 7 people and 4-5 clues, expect that 2-3 clues form the main chain and 1-2 are for disambiguation. Work the main chain first.

Queue/Row Questions (Linear Variant)

Some questions involve a queue with positions counted from the front or back. Key formula:

If a person is at position k from the front in a queue of n people, their position from the back is (n - k + 1).

For the Manish-Rinku-Seema PYQ: Manish is 7th from back in a queue of 19. From front: 19 - 7 + 1 = 13. Rinku is the midpoint between Manish (13th from front) and Seema. Rinku and Seema have 3 persons between them, meaning they are 4 positions apart. If Seema is at position s, Rinku is at (13 + s) / 2, and |13 - s| / 2 = 4 (since Rinku is the midpoint). So |13 - s| = 8, giving s = 5 or s = 21. Since the queue has only 19 people, s = 5. Seema is 5th from the front.


Memory Tricks & Shortcuts

patternCircle Compass Lock

Before placing anyone, mark the top of your circle as "12 o'clock." Always move clockwise for "right" and anticlockwise for "left." When you get a clue like "B is second to the left of C," count anticlockwise: C → one seat anticlockwise → two seats anticlockwise = B. This one habit eliminates direction confusion entirely. Standard method (recounting direction each time): adds 15-20 seconds of fumbling per clue. Compass Lock: 0 extra seconds, zero errors.

eliminationAnchor-Chain Method

Never start with a "not" clue. Instead, scan all clues and find the one that places two people relative to each other with a specific distance number. That is your anchor. Place those two people first, then use every other clue as a chain link. Attempting to start with a negative clue ("A is not the neighbour of D") first wastes 30-40 seconds because you cannot place anyone — you can only eliminate later. Starting with the anchor reduces total solve time from 2.5 minutes to under 90 seconds for a 6-person circular puzzle.

patternMirror Equivalence for 7-Person Tables

In a 7-seat circular arrangement, "3 to the left" = "4 to the right" (they land on the same seat). When a clue gives you "3 to the left of X," immediately note the equivalent as "4 to the right of X." This lets you cross-reference with another clue that might say "4 to the right" — collapsing two clues into one confirmation. This saves recounting steps and catches one common trap: 3-left vs 4-right appearing in the same question as if they refer to different people (they don't). Saves 1 full recount step, approximately 20 seconds.

substitutionFront-Back Position Formula

For queue questions: Position from back = (Total - Position from front + 1). Write this as F + B = n + 1 where F = position from front, B = position from back, n = total people. Memorise F + B = n + 1. The Manish question: B = 7, n = 19, so F = 19 + 1 - 7 = 13. No lengthy counting required. Standard counting method: 25-30 seconds. Formula substitution: under 5 seconds.

eliminationTwo-Option Freeze

When you have placed everyone except one person, and two arrangements look equally valid, invoke your unused negative clues ("X is not the immediate neighbour of Y"). Most SSC MTS questions include exactly one such negative clue specifically to break this tie. If you use negative clues early, you've wasted them. Hold them for the final disambiguation step. This turns a 50-50 guess into a confirmed answer, saving the 1-2 marks that come from avoiding the wrong branch entirely.


Fast-Solving Framework

Use this decision tree the moment you see a seating arrangement question in the exam hall:

Step 1 — Identify the type. Circular (table) or Linear (row/queue)? Draw the appropriate template immediately. For circular: draw a circle with the correct number of seats marked. For linear: draw a row of numbered boxes.

Step 2 — Scan for the anchor. Find the clue with a specific distance number and two named people. This is your starting point.

Step 3 — Place anchor pair. Fix one person at the top (circular) or at a numbered box (linear). Place the second person using the distance.

Step 4 — Chain outward. Look for a clue that mentions one of your already-placed people. Use it to add one more person. Repeat until everyone is placed.

Step 5 — Apply negative clues. Use "not" clues only now, to confirm you have the right arrangement or to choose between two valid arrangements.

Step 6 — Answer the question. Count positions directly from your diagram. Do not re-derive — trust your diagram.

If after placing 3 people you reach a contradiction, you likely misread a direction (left vs right). Flip one step and re-chain.


Solved PYQs

Why this question: This 7-person circular PYQ from 2024 is the most common SSC MTS format. Practise this until the chain-building is automatic.

Previous Year Questionपिछले वर्ष का प्रश्न2024
Seven people A, B, C, D, E, F and G are sitting around a circular table, facing the centre (but not necessarily in the same order). B is sitting second to the left of C. Only two people are sitting between B and D. D is an immediate neighbour of C. A is sitting third to the right of F. E is sitting to the immediate left of G. What is the position of E with respect to B?
  1. To the immediate left
  2. Third to the right
  3. Second to the left
  4. To the immediate right
Solutionसमाधान
By arranging all seven people around the circular table using the given conditions, E ends up placed second to the left of B.

Solving path: Draw a 7-seat circle. Clue 1: B is second to the left of C — place C at top, B two anticlockwise steps from C. Clue 2: Only two people between B and D — D can be 3 clockwise or 3 anticlockwise from B. Clue 3: D is an immediate neighbour of C — D must be directly next to C. This fixes D one anticlockwise step from C (the other side from B). Clue 4: A is third to the right of F — try F in the remaining seats. Clue 5: E is immediately to the left of G — place this pair in the remaining two seats. Count: E is second to the left of B.


Why this question: 6-person circular with a "who is the common immediate neighbour" question — a frequent SSC MTS question format.

Previous Year Questionपिछले वर्ष का प्रश्न2024
Six persons – L, M, N, O, P and Q – are sitting around a circular table facing the centre, but not necessarily in the same order. O is sitting second to the left of Q. P is not an immediate neighbour of Q. M is sitting second to the right of L. N is sitting to the immediate right of Q. Who is an immediate neighbour of both, L and N?
  1. P
  2. Q
  3. O
  4. M
Solutionसमाधान
Placing all six people around the table using the given conditions, P ends up positioned between L and N, making P the immediate neighbour of both.

Solving path: Draw a 6-seat circle. Anchor: O is second to the left of Q — place Q at top, O two anticlockwise. Clue: N is immediately to the right of Q — N is one clockwise step from Q. Clue: M is second to the right of L — try L in remaining seats. Clue: P is not an immediate neighbour of Q — after placing M and L, P goes in the remaining seat. Check: who sits between L and N? That person is P. P is the common immediate neighbour.


Why this question: Nearly identical to the previous, but with a changed constraint ("M is not an immediate neighbour of Q" instead of "P is not..."). Tests whether you re-derive rather than pattern-match.

Previous Year Questionपिछले वर्ष का प्रश्न2024
Six persons – L, M, N, O, P and Q – are sitting around a circular table facing the centre, but not necessarily in the same order. O is sitting second to the left of Q. M is not an immediate neighbour of Q. P is sitting second to the right of L. N is sitting to the immediate right of Q. Who is an immediate neighbour of both, L and N?
  1. O
  2. M
  3. P
  4. Q
Solutionसमाधान
Arranging all six people using the given conditions, P sits between L and N, making P the immediate neighbour of both L and N.

Solving path: Same initial anchor (O second to left of Q, N immediate right of Q). Now "P is second to the right of L" — this directly places P relative to L. "M is not an immediate neighbour of Q" eliminates one seating option. Final arrangement places P between L and N.


Why this question: Linear arrangement PYQ — tests the anchor-chain method in a row format.

Previous Year Questionपिछले वर्ष का प्रश्न2023
Six people, P, Q, R, S, T and U are sitting in a straight line, facing north. U sits fourth to the right of R. R is not sitting at the extreme end of the line. T is the immediate neighbour of U and S. Q sits third to the left of S. Who is sitting immediately to the right of R?
  1. T
  2. P
  3. Q
  4. S
Solutionसमाधान
Arranging the positions: Q, R, P, S, U, T from left to right. P is sitting immediately to the right of R.

Solving path: 6 people in a row, positions 1-6. "U is fourth to the right of R, R is not at the extreme end" → R at position 2, U at position 6. "T is immediate neighbour of U and S" → T at 5, S at 4. "Q sits third to the left of S" → S at 4, Q at 1. Remaining: P at position 3. Who is immediately right of R (position 2)? P at position 3.


Why this question: 7-person circular from 2022 — tests full chain-building with a "third to the left" final question.

Previous Year Questionपिछले वर्ष का प्रश्न2022
Seven boys Ram, Sumit, Sunil, Rahul, Raj, Aman and Amit are sitting around a circular table facing towards the centre (not necessarily in the same order). Raj is second to the right of Aman. Sunil is third to the left of Aman. Ram is not the immediate neighbour of Aman. Amit is second to the right of Ram. Rahul is not the immediate neighbour of Amit. Who is third to the left of Sumit?
  1. Rahul
  2. Raj
  3. Sunil
  4. Ram
Solutionसमाधान
Arranging the seven boys around the circular table using the given conditions places Rahul third to the left of Sumit.

Solving path: Anchor: Raj is second to the right of Aman — place Aman, then Raj two clockwise. "Sunil is third to the left of Aman" — Sunil two anticlockwise from Raj's side. "Ram is not the immediate neighbour of Aman" — Ram cannot sit next to Aman. "Amit is second to the right of Ram" — places Amit relative to Ram. "Rahul is not the immediate neighbour of Amit" — Rahul and Sumit fill remaining seats. Final count: third to the left of Sumit is Rahul.


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