Seven people, A, B, C, D, E, F and G, are sitting in a straight row, facing north. Only 2 people sit to the left of E. G is an immediate neighbour of E. B sits to the immediate right of F. Only 3 people sit between G and F. A sits to the immediate left of D. Who sits to the immediate right of E?
A
This question involves a linear seating arrangement puzzle. We have seven people (A, B, C, D, E, F, and G) sitting in a straight row, all facing north. Facing north means the left side of the row is to your left, and the right side is to your right. We need to use the given clues to determine the exact seating order.
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Person |
Let's break down the clues one by one:
Step-by-Step Seating Arrangement Solution
Clue 1: Only 2 people sit to the left of E.
This tells us the position of E in the row. If two people are to E's left, E must be in the 3rd position from the left end of the row.
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Person | E |
Clue 2: G is an immediate neighbour of E.
G can be either immediately to the left of E or immediately to the right of E. Since position 2 is immediately to the left of E (position 3), G could be there. Position 4 is immediately to the right of E, so G could be there as well. We keep both possibilities in mind initially, but look for other clues to narrow it down.
- Possibility A: G is at position 2. Arrangement: _ G E _ _ _ _
- Possibility B: G is at position 4. Arrangement: _ _ E G _ _ _
Clue 3: Only 3 people sit between G and F.
Let's apply this clue to our possibilities:
- In Possibility A (_ G E _ _ _ _), G is at position 2. If 3 people are between G and F, F would be at position ${2 + 3 + 1} = 6$. This fits within the 7 positions. Arrangement: _ G E _ _ F _
- In Possibility B (_ _ E G _ _ _), G is at position 4. If 3 people are between G and F, F would be at position ${4 + 3 + 1} = 8$. This is beyond the 7 available positions, so Possibility B is not possible.
So, Possibility A is the correct one. The arrangement so far is determined by clues 1, 2, and 3:
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Person | G | E | F |
Clue 4: B sits to the immediate right of F.
F is currently at position 6. The position immediately to the right of position 6 is position 7. So, B must be at position 7.
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Person | G | E | F | B |
Clue 5: A sits to the immediate left of D.
We now have two empty positions: 1 and 4. The pair (A, D) must occupy two adjacent positions where A is immediately to the left of D. Let's check the empty spots:
- Can A be at position 1? If A is at position 1, D must be at position 2. But position 2 is occupied by G. So, A cannot be at position 1.
- Can A be at position 4? If A is at position 4, D must be at position 5. Both position 4 and 5 are currently empty. This is a valid placement.
So, A is at position 4 and D is at position 5.
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Person | G | E | A | D | F | B |
Now, only one person is left (C) and only one position is empty (position 1). Therefore, C must be at position 1.
The final seating arrangement from left to right is:
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Person | C | G | E | A | D | F | B |
Let's verify this final arrangement with all clues:
- 7 people, facing north: Yes.
- Only 2 people sit to the left of E (C, G): Yes, E is at position 3.
- G is an immediate neighbour of E: Yes, G is immediately left of E.
- Only 3 people sit between G and F (E, A, D): Yes, G is at position 2, F is at position 6. Positions 3, 4, 5 are between them (3 people).
- B sits to the immediate right of F: Yes, F is at position 6, B is at position 7.
- A sits to the immediate left of D: Yes, A is at position 4, D is at position 5.
All clues are satisfied by the arrangement C G E A D F B.
Identifying the Person to the Immediate Right of E
The question asks who sits to the immediate right of E. In our final arrangement C G E A D F B, E is in position 3. The person in the position immediately to the right of E (position 4) is A.
Therefore, A sits to the immediate right of E.
Revision Table: Key Clues and Deductions
| Clue Number | Clue Description | Deduction/Resulting Arrangement |
|---|---|---|
| 1 | Only 2 people sit to the left of E. | E is at position 3. |
| 2 & 3 | G is immediate neighbour of E. Only 3 people sit between G and F. |
G is at position 2, F is at position 6. Arrangement: _ G E _ _ F _ |
| 4 | B sits to the immediate right of F. | B is at position 7. Arrangement: _ G E _ _ F B |
| 5 | A sits to the immediate left of D. | A is at position 4, D is at position 5. Arrangement: _ G E A D F B |
| Remaining | Remaining person and spot. | C is at position 1. Final Arrangement: C G E A D F B |
Additional Information on Linear Seating Arrangements
Linear seating arrangement puzzles are common in logical reasoning sections of exams. Here are some key points to remember:
- Direction: Always note the direction people are facing (north, south, east, west). This determines which side is 'left' and which is 'right'. Facing north means your left is their left, your right is their right. Facing south reverses this.
- Immediate Neighbour: An immediate neighbour sits directly next to someone, on either their left or right.
- Between: If 'X' people sit between A and B, it means there are exactly X positions between A and B, not including A and B themselves.
- Relative Positions: Clues like "to the left of", "to the right of", "second to the left", etc., are relative to the person mentioned.
- Fixed Positions: Some clues might give a position relative to an end of the row (e.g., "3rd from the left end"). These are crucial starting points.
- Combining Clues: The key to solving these puzzles is to combine clues systematically. Some clues might create possibilities (like G being left or right of E), while others help eliminate possibilities or fix positions.
- Visualization: Drawing a diagram of the row helps visualize the arrangement as you place people based on the clues.
- Checking: After arriving at a final arrangement, always re-read all the clues and check if the arrangement satisfies every condition.
Important Questions from Linear Arrangement
Eight friends, A, B, C, D, E, F, G and H, are sitting in two lines of four persons each. Both the lines are facing each other. A is facing D. E is to the immediate left of G. H is to the immediate right of B. C is facing G. F is facing H. B is to the immediate right of the person who is facing G. D is to the immediate left of F. Which four persons are sitting in the same line?
Nine employees, K, L, M, N, O, P, Q, R and S, are sitting in the office in a straight line, all facing the east. O is third to the right of M. K is third to the left of P. Q is between P and S. N is fourth to the right of M. P is to the immediate right of N. R is fourth to the left of O. Which of the following statements is NOT correct?
Eight north-facing restaurants named P, Q, R, S, T, U, V and W are located in a straight line. S is second to the left of T. W is third to the left of P. T is between P and V. S is third to the left of V. W is to the immediate right of U. R is third to the right of P. Who is sitting fourth to the right of S?
Anamika, Gopal, Nischal, Vanmayi, Shresta and Sripad are sitting in a straight line facing the north. Nischal is to the immediate left of Gopal. Shresta is between Anamika and Sripad. Sripad is at the second place from the right end. Four persons are sitting between Nischal and Vanmayi. If Gopal and Sripad interchange their positions, then who will be sitting between Vanmayi and Shresta?
A question is given, followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and select the appropriate answer.
Question: How many people are standing in the row where all people are facing north?
Statements:
(I) A is fourth from the left end; M is second to the right of A; and R is second from the left end.
(II) M is fourth from the right end; only two people Stand between M and B.
