Circular Seating Logic
Analyze the seating arrangement of six students (P, Q, R, S, T, U) around a circular table facing the centre.
Clue Breakdown & Deduction
- Arrangement: 6 people, circular, facing centre.
- Clue 1: P is 2nd right of Q. Let's denote positions clockwise. If Q is at position 1, P is at position 3. (Q _ P ...)
- Clue 2: S neighbours Q and R. This implies the sequence Q-S-R or R-S-Q.
- Clue 4: T neighbours P and R. This implies the sequence P-T-R or R-T-P.
- Combining Clues: From Clue 1 (Q at 1, P at 3). Clue 2 means S must neighbour Q (position 1), so S could be at 6. If S is at 6, it must also neighbour R, placing R at 5. The sequence becomes Q _ P _ R S. Clue 4 states T neighbours P (at 3) and R (at 5). The only position between 3 and 5 is 4, so T must be at 4. The arrangement is now Q _ P T R S.
- Clue 3: U is 3rd left of R. R is at position 5. Counting left (counter-clockwise): position 4 (T), position 3 (P), position 2 (U). This places U at position 2.
- Final Order (Clockwise): The complete arrangement is Q - U - P - T - R - S.
Identifying P & Q's Neighbour
The question asks for the student who is an immediate neighbour to both P and Q.
- Based on the deduced arrangement Q-U-P-T-R-S:
- The neighbours of P are U (position 2) and T (position 4).
- The neighbours of Q are S (position 6) and U (position 2).
- The student common to both lists of neighbours is U.
Conclusion: U is the immediate neighbour of P and Q.
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?
