How many people sit between L and S when counted from the left of S?
Circular Table Seating Arrangement Puzzle Solution
This solution provides a step-by-step deduction to solve the circular table seating puzzle.
1. Understanding the Constraints
- People: L, M, N, O, Q, R, S (7 total)
- Setup: Sitting around a circular table, facing the center.
- Direction Convention (Facing Center): Right = Clockwise, Left = Counter-clockwise.
- Constraint 1: L sits fourth to the right of R. (Implies 3 people between R and L going clockwise: R _ _ _ L)
- Constraint 2: Only two people sit between Q and N when counted from the left of Q. (Implies 2 people between Q and N going counter-clockwise: Q _ _ N)
- Constraint 3: M sits third to the left of O. (Implies 2 people between O and M going counter-clockwise: O _ _ M)
- Constraint 4: S is an immediate neighbor of O and N. (Forms a block: O-S-N or N-S-O)
2. Establishing the Arrangement
We will number the seats 1 to 7 clockwise.
- Place R and L: From Constraint 1 (L is 4th right of R), let R be at position 1. Moving 4 positions clockwise (1 -> 2 -> 3 -> 4 -> 5), L is at position 5.
Arrangement: R(1), _(2), _(3), _(4), L(5), _(6), _(7)
- Place O, S, N block: Constraint 4 requires O, S, N to be adjacent. The only available consecutive slots are (2,3,4) or (6,7,?). Consider the N-S-O block possibility fitting into slots (2,3,4).
Arrangement: R(1), N(2), S(3), O(4), L(5), _(6), _(7)
Check Constraint 3 (M is 3rd left of O): O is at 4. Counter-clockwise: 4 -> 3 -> 2 -> 1. M should be at 1. But R is at 1. This block order (N-S-O clockwise) fails. - Try O-S-N block: Place the O-S-N block in slots (2,3,4).
Arrangement: R(1), O(2), S(3), N(4), L(5), _(6), _(7)
- Place M: Check Constraint 3 (M is 3rd left of O). O is at 2. Counter-clockwise: 2 -> 1 -> 7 -> 6. M is at position 6.
Arrangement: R(1), O(2), S(3), N(4), L(5), M(6), _(7)
- Place Q: The only remaining person is Q, and the only slot is 7. Q is at position 7.
Arrangement: R(1), O(2), S(3), N(4), L(5), M(6), Q(7)
- Verify Constraints:
- L 4th right of R: R(1) -> O(2) -> S(3) -> N(4) -> L(5). Correct.
- 2 between Q and N (from Q's left/counter-clockwise): Q(7) -> M(6) -> L(5) -> N(4). Correct (M and L are between).
- M 3rd left of O: O(2) -> R(1) -> Q(7) -> M(6). Correct (R and Q are between).
- S neighbours O and N: O(2)-S(3)-N(4). Correct.
3. Finding the Number of People Between L and S
The question asks for the number of people between L and S, counted from the left (counter-clockwise) of S.
- Current Arrangement (Clockwise): R(1), O(2), S(3), N(4), L(5), M(6), Q(7)
- S is at position 3. L is at position 5.
- Count from S counter-clockwise:
- Position 2: O (1st person counted)
- Position 1: R (2nd person counted)
- Position 7: Q (3rd person counted)
- Position 6: M (4th person counted)
- Position 5: L (Destination reached)
- The people sitting between S and L in this direction are O, R, Q, and M.
Therefore, there are Four people between L and S when counted from the left of S.
Similar Questions
- A, B, C, D, E, F and G are sitting around a circular table facing the centre.
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- Read the given instructions carefully and answer the question that follows.
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How many persons are sitting between A and B?
Important Questions from Circular Arrangement
Seven friends, Subhi, Prince, Ketan, Vishal, Mahima, Krish and Naitik, are sitting around a circular table with their backs towards the centre. Subhi is sitting to the immediate right of Prince. Naitik and Krish are not sitting to the immediate left or right of Vishal. Vishal is sitting third to the left of Prince. Mahima is sitting to the immediate right of Vishal. Who is sitting third to the right of Prince?
Raghav, Manpreet, Sunaina, Prakrit, Vedika and Arwa are sitting around a circular table facing the centre. Raghav is second to the left of Prakrit. Manpreet is to the immediate left of Sunaina. Arwa is second to the right of Vedika. There are an equal number of persons between Raghav and Manpreet from both the ends. Who is sitting third to the left of Sunanina?
Five friends, Vishnu, Chirag, Raina, Kavya and Surbhi, are sitting around a circular table, facing the center. Vishnu is to the immediate right of Kavya. Chirag is third to the left of Kavya. Surbhi is not adjacent to Chirag. Who is second to the left of Kavya?
Six friends, David, Bhanu, Minto, Krita, John and Nisan, are sitting in a circle with their backs towards the centre. David and Minto are sitting to the immediate left and right of Bhanu, respectively. John is not sitting to the immediate left of David. Nisan is sitting third to the right of Bhanu. Who is sitting second to the left of Bhanu?
Eight friends, P, Q, R, S, T, U, V and W, are sitting in the same order anticlockwise around a circular table at equal distance between them, with all centre of the table. If Q is sitting in the south-east, then in which direction is W sitting?
