Four friends K, L, M and N are sitting in a row, and they are facing south. L and M are sitting at two extreme ends. K sits between L and N and is second to the right of M. Who sits immediate left of K?
N
Solving the Seating Arrangement Puzzle: Four Friends Facing South
This question asks us to determine the seating position of four friends, K, L, M, and N, who are sitting in a row and facing south. We are given several clues about their relative positions. To solve this, we need to use logical deduction based on the provided information.
Analyzing the Clues
Let's break down the information given:
- Four friends: K, L, M, N.
- Sitting in a row.
- Facing south.
- L and M are sitting at the two extreme ends.
- K sits between L and N.
- K is second to the right of M.
Determining the Row Direction and Positions
The friends are facing south. When facing south, a person's 'right' is to their east (which is usually depicted on the left side of a diagram showing people in a row horizontally), and their 'left' is to their west (usually depicted on the right side of the diagram).
Let's represent the four positions in the row:
Position 1 - Position 2 - Position 3 - Position 4
Since they are facing south, the extreme left end from our perspective (Position 1) is the right end for someone facing north, and the extreme right end (Position 4) is the left end for someone facing north. However, when facing south, the 'left' side for the person is towards Position 4, and the 'right' side for the person is towards Position 1.
Let's consider the extreme ends clue. L and M are at the extreme ends. This means one is at Position 1 and the other is at Position 4.
Case 1: L is at Position 1 and M is at Position 4 (L \_ \_ M)
Case 2: M is at Position 1 and L is at Position 4 (M \_ \_ L)
Applying the Clue: K is second to the right of M
Remember, they are facing south. 'Right' of M is towards Position 1 in our diagram representation.
- In Case 1 (L \_ \_ M), M is at Position 4. The positions to M's right are Position 3, Position 2, and Position 1. The first position to M's right is Position 3, and the second position to M's right is Position 2. So, K must be at Position 2. The arrangement would be L K \_ M.
- In Case 2 (M \_ \_ L), M is at Position 1. The positions to M's right are Position 2, Position 3, and Position 4. The first position to M's right is Position 2, and the second position to M's right is Position 3. So, K must be at Position 3. The arrangement would be M \_ K L.
Applying the Clue: K sits between L and N
Let's examine the possibilities from the previous step:
- From Case 1: The arrangement is L K \_ M. K is at Position 2, L is at Position 1, and M is at Position 4. K is between L and N. Since K is between L and N, N must be adjacent to K on the side opposite to L. In L K \_ M, L is to K's left (in the diagram). So N must be to K's right (in the diagram), filling Position 3. This gives the arrangement L K N M. In this arrangement, K is between L (at Position 1) and N (at Position 3). This is consistent.
- From Case 2: The arrangement is M \_ K L. K is at Position 3, M is at Position 1, and L is at Position 4. K is between L and N. In M \_ K L, L is to K's right (in the diagram). So N must be to K's left (in the diagram), filling Position 2. This gives the arrangement M N K L. In this arrangement, K is between M (at Position 1) and L (at Position 4). However, the clue says K sits between L and N. This arrangement M N K L means K is between M and L, not L and N. So Case 2 is not possible.
The only consistent arrangement is L K N M.
Verifying the Final Arrangement
The confirmed arrangement is L K N M (from left to right in the diagram), with everyone facing south.
- L and M at extreme ends? Yes, L is at Position 1, M is at Position 4.
- K between L and N? Yes, K is between L (Position 1) and N (Position 3).
- K second to the right of M? M is at Position 4, facing south. 'Right' is towards Position 1. The person immediately to M's right is N (Position 3). The person second to M's right is K (Position 2). Yes, this is correct.
The seating arrangement from left to right in the diagram is: L, K, N, M.
Finding Who Sits Immediate Left of K
The arrangement is L K N M. K is at Position 2. The friends are facing south.
When facing south, 'left' is towards the right side of the diagram (towards Position 4).
We need to find the person immediately to K's left. This means the person who is one position towards Position 4 from K.
In the arrangement L K N M, the person immediately to the right of K (in the diagram) is N.
Since they are facing south, the person immediately to the right in the diagram is the person immediately to K's left.
Therefore, N sits immediate left of K.
| Position in Row (Diagram) | Person | Facing Direction | Direction 'Left' Points (Relative to Diagram) | Direction 'Right' Points (Relative to Diagram) |
|---|---|---|---|---|
| 1 (Left End) | L | South | Towards Position 4 | Towards Position 1 |
| 2 | K | South | Towards Position 4 | Towards Position 1 |
| 3 | N | South | Towards Position 4 | Towards Position 1 |
| 4 (Right End) | M | South | Towards Position 4 | Towards Position 1 |
Based on the table and the arrangement L K N M, K is at Position 2. Immediate left of K (when facing south) is towards Position 4 in the diagram, which is Position 3. The person at Position 3 is N.
Conclusion
The final seating arrangement is L, K, N, M from left to right. When facing south, K's immediate left is the person to their right in the diagram. That person is N.
Revision Table: Seating Arrangement Puzzle
| Clue | Deduction / Application | Intermediate Arrangement |
|---|---|---|
| 4 friends, row, facing south | Row of 4 positions. 'Left' for person is towards right of diagram, 'Right' for person is towards left of diagram. | \_ \_ \_ \_ |
| L and M at extreme ends | L at pos 1, M at pos 4 OR M at pos 1, L at pos 4. | L \_ \_ M OR M \_ \_ L |
| K is second to the right of M (facing south) | 'Right' of M is towards diagram-left. If M at pos 4, K is at pos 2 (L K \_ M). If M at pos 1, K is at pos 3 (M \_ K L). | L K \_ M OR M \_ K L |
| K sits between L and N | If L K \_ M, K is between L and N implies N is at pos 3 (L K N M). If M \_ K L, K is between L and N implies N is at pos 2 (M N K L). Check if K is between L and N in both final outcomes. M N K L has K between M and L, not L and N. L K N M has K between L and N. | L K N M (Validates) |
| Who sits immediate left of K (facing south)? | Arrangement is L K N M. K is at pos 2. Facing south, 'left' is towards diagram-right. Person at pos 3 is immediate left of K. | N |
Additional Information: Facing Directions in Seating Arrangements
Understanding how directions (left, right) change based on the facing direction is crucial in seating arrangement puzzles. Here's a simple guide:
- Facing North: If people are in a horizontal row and facing North, their left and right align with your left and right as you look at the diagram. The person on the extreme left of the diagram is the person on the extreme left of the row.
- Facing South: If people are in a horizontal row and facing South, their left and right are reversed compared to your perspective. The person on the extreme left of the diagram is the person on the extreme right of the row (from their perspective), and vice-versa. The person immediately to someone's right in the diagram is actually immediately to their left, and vice-versa.
- Facing East/West: If people are in a vertical column, facing East or West, their left/right depends on the direction and whether you consider horizontal or vertical movements in relation to their facing direction.
Always clarify the facing direction and how 'left' and 'right' are defined relative to the diagram or the person's perspective before starting to place individuals.
Important Questions from Linear Arrangement
Seven people, A, B, C, D, E, F and G, are sitting in a straight row facing the north. Only two people sit to the left of C. Only two people sit between A and B. B sits to the left of A. E is an immediate neighbour of A to the right. Only one person sits to the right of D. F is not an immediate neighbour of B. Who sits at the centre?
P, Q, R and S are sitting on a bench and facing in the same direction. P sits next to Q but not next to R. S, who is sitting on the extreme right, does not sit next to either Q or R. How many of them each have two neighbors?
5 boys A, B, C, D and E are sitting in a row. E is sitting between D and A, B is to the right of A, C is at one of the extreme ends and C and D are sitting next to each other. Which of the following statement is false?
Five friends Ram, Priya, Raunak, Aditya and Shyam are sitting in a row facing north. Raunak is to the right of Shyam and Priya is to the left of Shyam but to the right of Rama. Raunak is to the left of Aditya. Who is fourth from the left end?
Seven friends P, Q, R, S, T, U, and V are sitting in a straight line facing north. Q sits fifth to the right of T. Q does not sit at any of the extreme ends. Two people sit between U and R. S sits third to the left of V. S sits exactly in the middle. U is not an immediate neighbour of P.
How many people sit between R and V?
