Seating Arrangement Logic Explained
This problem involves arranging 6 people (Teena, Beena, Meera, Leena, Meenu, Reena) in a circle facing the center and finding a specific position based on relative clues.
Deriving the Circle Arrangement
We determine the seating arrangement step-by-step using the clues. Assuming 'left' means counter-clockwise (CCW) as they face the center.
- Let the positions be numbered 1 to 6 clockwise.
- Clue 1: Reena (R) sits second to the left of Teena (T). If T is at position $p$, then R is at position $(p-2) \pmod{6}$. Let T be at position 1. Then R is at $(1-2) \pmod{6} = -1 \pmod{6} = 5$.
- Arrangement: Teena(1), ___(2), ___(3), ___(4), Reena(5), ___(6)
- Clue 2: Meenu (M) sits third to the left of Reena (R). M is at $(5-3) \pmod{6} = 2$. Meenu is at position 2.
- Arrangement: Teena(1), Meenu(2), ___(3), ___(4), Reena(5), ___(6)
- Clue 3: Leena (L) sits second to the left of Meera (M'). L is at $(M' - 2) \pmod{6}$. Remaining positions are 3, 4, 6.
- Testing possible positions for Meera (M'):
- If M'=3, L = (3-2) mod 6 = 1 (Occupied by Teena).
- If M'=4, L = (4-2) mod 6 = 2 (Occupied by Meenu).
- If M'=6, L = (6-2) mod 6 = 4. This fits. Meera is at 6, Leena is at 4.
- Testing possible positions for Meera (M'):
- Final Placement: Beena (B) must occupy the remaining position, which is 3.
- Final Circle (Clockwise): Teena(1), Meenu(2), Beena(3), Leena(4), Reena(5), Meera(6).
Answering the Position Question
We need to find who sits second to the left of Beena (B).
- Beena is at position 3.
- The position second to the left of Beena is $(3-2) \pmod{6} = 1$.
- The person at position 1 is Teena.
Therefore, Teena sits second to the left of Beena.
Similar Questions
- A, B, C, D, E, F and G are sitting around a circular table facing the centre.
C sits to the immediate right of D. Only three people sit between C and G when counted from the left of C. Only three people sit between D and B. A sits to the immediate right of F. How many people sit between C and A when counted from the right of C? - L, M, N, O, Q, R, and S are sitting around a circular table facing the centre of the table. L sits fourth to the right of R. Only two people sit between Q and N when counted from the left of Q. M sits third to the left of O. S is an immediate neighbor of O and N.
How many people sit between L and S when counted from the left of S? - A, B, C, D, Q, R and S are sitting around a circular table, facing the centre of the table. Only one person sits between Q and S, when counted from the right of Q. Only one person sits between S and C. Only one person sits between Q and R. Only two people sit between A and C. Only one person sits between B and R. Who sits third to the right of D?
- Eight persons A, B, C, D, E, F, G and H are sitting around a circular table facing opposite to the centre (not necessarily in the same order). B is the neighbour of E and is fourth to the right of A. Only two persons are sitting between E and F. Only three persons are sitting between G and H. B is not the neighbour of G. D is third to the left of C.
Who can be the neighbours of A? - 8 persons A, B, C, D, E, F, G and H are sitting around a circular table facing the centre (not necessarily in the same order). F is to the immediate left of C and is adjacent to A. H is to the immediate right of D. Only three persons are sitting between B and H. B is to immediate left of E and E is not adjacent to C.
If each person interchanges his or her position with the person seated opposite to him or her, then who will be on the immediate right of E? - Five friends are sitting around a table facing the centre. Arjun is to the right of Harman. Hardik is to the left of Aditya and to the right of Arjun. Harman is to the right of Reyansh. Who is sitting to the immediate right of Aditya?
- L, M, N, O, Q, R and S are sitting around a circular table, facing the centre of the table. Only two people sit between O and R when counted from the right of O. Only two people sit between R and M. Only three people sit between O and N. L sits to the immediate left of Q. Who sits third to the left of S?
- Read the given instructions carefully and answer the question that follows.
8 people - A, B, C, D, E, F, G, H - are sitting at a round table facing each other. A is between E and G, whereas G is sitting second to the right of F. H is between D and B and is second to the left of F. A and B are sitting opposite each other. Who is sitting immediately to the right of G? - Eight siblings, L, M, N, O, P, Q, R and S, are sitting around a circular table facing away from the centre and at equal distance from the other, but not in the same order. S sits second to the left of P. M sits third to the right of S. R is M’s immediate neighbour and is sitting second to the left of L. N is an immediate neighbour of R. O’s back faces the back of N. Q sits to the immediate right of L. Who sits to the immediate right of O?
- Read the given instructions carefully and answer the question that follows.
8 people – A, B, C, D, E, F, G, H - are sitting at a round table facing each other. A is between E and G, whereas G is sitting second to the right of F. H is between D and B and is second to the left of F. A and B are sitting opposite each other.
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?
