Setting up the Seating Arrangement
We are given a problem involving eight friends (P, Q, R, S, T, U, V, W) sitting in two rows facing each other. Each row has exactly four people. Our task is to determine who is sitting directly in front of T.
Let's visualize the setup:
Row 1: [Pos 1] [Pos 2] [Pos 3] [Pos 4]
Row 2: [Pos 1] [Pos 2] [Pos 3] [Pos 4] (Facing Row 1)
Positions (1, 1), (2, 2), (3, 3), and (4, 4) represent people sitting directly opposite each other.
Analyzing the Seating Arrangement Clues
Let's break down the clues provided:
- Clue 1: Q and R are sitting in front of each other. This means Q and R occupy seats directly opposite each other.
- Clue 2: R is the immediate neighbour of S and T. This tells us that S, R, and T are sitting together in the sequence S-R-T or T-R-S. R cannot be at the end seats of a row.
- Clue 3: W is sitting to the immediate left of T. This implies a W-T sequence in the row. This also means T cannot be in the first (leftmost) position of its row.
- Clue 4: W and U are diagonally opposite. In a 2x4 grid, diagonal positions link seats like (Row 1, Pos 1) with (Row 2, Pos 2) or (Row 2, Pos 4). Let's consider the possibility of (Row 1, Pos 1) being diagonally opposite (Row 2, Pos 4).
- Clue 5: V and Q are not next to each other. V and Q cannot be in adjacent seats within the same row.
Deducing the Arrangement Step-by-Step
- Combining the 'R neighbour' and 'W left of T' clues (Clues 2 & 3): R must be between S and T (S-R-T or T-R-S). W must be immediately left of T (W T). The sequence W T R S satisfies both conditions: R is between T and S, and W is immediately left of T. Let's tentatively place this sequence in Row 1.
Row 1: W (Pos 1), T (Pos 2), R (Pos 3), S (Pos 4)
- Placing Q based on the 'Q opposite R' clue (Clue 1): R is in Row 1, Position 3. Therefore, Q must be in Row 2, Position 3, directly opposite R.
Row 1: W T R S
Row 2: _ _ Q _
- Placing U using the 'W diagonally opposite U' clue (Clue 4): W is in Row 1, Position 1. If we interpret "diagonally opposite" as the furthest corner (i.e., (Row 1, Pos 1) opposite (Row 2, Pos 4)), then U must be in Row 2, Position 4.
Row 1: W T R S
Row 2: _ _ Q U
- Placing the remaining friends, V and P: The available seats are Row 2, Position 1 and Row 2, Position 2. We must use the clue that V and Q are not next to each other (Clue 5). Q is in Row 2, Position 3. This means V cannot be in Position 2 or Position 4. Since Position 4 is occupied by U, V cannot be in Position 2. Thus, V must occupy the remaining seat furthest from Q, which is Row 2, Position 1.
Row 1: W T R S
Row 2: V _ Q U
The last person, P, must take the only remaining seat, which is Row 2, Position 2.Row 1: W T R S
Row 2: V P Q U
Final Arrangement Verification
Let's confirm this arrangement satisfies all the given conditions:
Row 1: W (Pos 1), T (Pos 2), R (Pos 3), S (Pos 4)
Row 2: V (Pos 1), P (Pos 2), Q (Pos 3), U (Pos 4)
- Q opposite R: Yes (R at R1-3, Q at R2-3).
- R is neighbour of S and T: Yes (R at R1-3 is neighbours with T at R1-2 and S at R1-4).
- W is immediate left of T: Yes (W at R1-1 is to the left of T at R1-2).
- W diagonally opposite U: Yes (W at R1-1 and U at R2-4 are diagonally opposite in this interpretation).
- V not next to Q: Yes (V at R2-1 is separated from Q at R2-3 by P at R2-2).
All conditions are met with this seating arrangement.
Identifying the Person Opposite T
The question asks: "Who is in front of T?".
T is located in Row 1, Position 2.
The person sitting directly in front of T is in Row 2, Position 2.
Based on our final arrangement:
Row 1: W T R S
Row 2: V P Q U
The person in Row 2, Position 2 is P.
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?
