Circular Table Seating Arrangement Logic
This problem involves determining the positions of students around a circular table using logical deduction based on provided relational clues.
Deducing the Seating Order
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Establish Key Neighbour Relationships:
- Deep sits between Johar and Roop. This implies a block like $Johar-Deep-Roop$ or $Roop-Deep-Johar$.
- Soma sits between Manvi and Johar. This implies a block like $Manvi-Soma-Johar$ or $Johar-Soma-Manvi$.
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Combine Clues for Sequence Building:
- Assume the clockwise order around Deep is $Roop-Deep-Johar$ based on the first clue.
- Use the clue "Soma is sitting second to the right of Deep". In the $Roop-Deep-Johar$ sequence, Johar is first to Deep's right. Therefore, Soma must be positioned next to Johar, extending the sequence to $Roop-Deep-Johar-Soma$.
- Incorporate the clue "Soma is an immediate neighbour of both Manvi and Johar". Since Johar is already next to Soma, Manvi must occupy the other adjacent seat: $Roop-Deep-Johar-Soma-Manvi$.
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Finalize the Arrangement:
- Tanya is the sixth student. In a circular arrangement, she must sit in the remaining seat, which is between Manvi and Roop.
- The complete clockwise circular order is: Tanya, Roop, Deep, Johar, Soma, Manvi.
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Verify All Conditions:
- Deep's neighbours are Roop and Johar. (Correct)
- Soma's neighbours are Johar and Manvi. (Correct)
- Soma is second to the right of Deep. (Correct: Deep -> Johar -> Soma)
- Roop is second to the left of Johar. (Correct: Johar -> Deep -> Roop)
The deduced clockwise order is: Deep, Johar, Soma, Manvi, Tanya, Roop.
Identifying Tanya and Deep's Neighbour
From the established seating arrangement:
- Tanya's immediate neighbours are Manvi and Roop.
- Deep's immediate neighbours are Roop and Johar.
The student who is an immediate neighbour to both Tanya and Deep is Roop.
Important Questions from Seating arrangement
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). A is sitting second to the right of E. Only one person is sitting between D and A. B is sitting third to the right of G. F is an immediate neighbour of B. How many people are sitting between D and E when counted from the left of E?
Seven people A, B, C, D, E, F, and G are sitting around a circular table, facing the center (but not necessarily in the same order). C is sitting to the immediate right of E. D is sitting third to the left of C. A is the immediate neighbor of B and C. F is not the immediate neighbor of E. What is the position of G with respect to A?
P, Q, R, S, T, U, V and W are sitting around a circular table facing the centre (but not necessarily in the same order).
P is sitting to the immediate right of V and third to the left of U.
S is sitting fourth to the right of Q, who is not an immediate neighbour of P and T.
Q is sitting to the second right of U.
R is sitting to the immediate right of Q and second to the left of P.
How many people are sitting between R and T when counted from the left of T?
Rajan, Pragyan, Kamal, Sachin, Ashok, Narendra, and Laksh are sitting around a circular table, facing the centre (but not necessarily in the same order).
Rajan sits 3rd to the right of Narendra. Kamal sits 2nd to the right of Rajan.
Ashok is an immediate neighbour of Narendra. Pragyan sits to the immediate right of Sachin.
Who is sitting 3rd to the left of Narendra?
P got married 15 years ago. Today her age is 13⁄5 times her age at the time of her marriage. At present her son’s age is 1⁄5 of her age. What was her son’s age 4 years ago as a fraction of P’s age at that time?
