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 at the extreme left end of the row?
C
Understanding the Seating Arrangement Puzzle
This question is a classic seating arrangement puzzle where we are given a set of conditions about the positions of seven people (A, B, C, D, E, F, G) sitting in a straight row, all facing North. Facing North means that the left and right directions in the arrangement correspond to our left and right.
We need to use the given clues to determine the exact position of each person in the row and then identify the person sitting at the extreme left end.
Analyzing the Clues to Build the Seating Arrangement
Let's break down each clue and see how it helps us build the arrangement of the seven people in the straight row.
There are 7 positions in the row, let's number them from left to right: 1 2 3 4 5 6 7.
- Clue 1: Only 2 people sit to the left of E.
If only two people are to E's left, E must be in the 3rd position from the left end.
Current arrangement: \_ \_ E \_ \_ \_ \_
Positions: 1 2 3 4 5 6 7 - Clue 2: G is an immediate neighbour of E.
E is at position 3. G can be either at position 2 (immediate left of E) or position 4 (immediate right of E).
Case 1: G is at position 2. Arrangement so far: G E \_ \_ \_ \_ \_ (Positions 1 2 3 4 5 6 7)
Case 2: G is at position 4. Arrangement so far: \_ \_ E G \_ \_ \_ \_ (Positions 1 2 3 4 5 6 7) - Clue 3: B sits to the immediate right of F.
This means F and B are sitting together in that order (F followed by B) like a block 'FB'. - Clue 4: Only 3 people sit between G and F.
Let's test this clue with our two cases for G's position.
Consider Case 1 (G at position 2): G is at 2. If there are 3 people between G and F, F must be at position \(2 + 3 + 1 = 6\) (adding 3 for the people in between and 1 for F's position relative to G).
Arrangement for Case 1 now: G E \_ \_ \_ F \_ (Positions 1 2 3 4 5 6 7)
Let's verify: People at positions 3, 4, and 5 are between G (at 2) and F (at 6). Yes, there are 3 people.
Consider Case 2 (G at position 4): G is at 4. If there are 3 people between G and F, F must be at position \(4 + 3 + 1 = 8\). However, there are only 7 positions in the row. So, F cannot be at position 8. This means Case 2 is impossible.
Therefore, G must be at position 2, and F must be at position 6.
Our arrangement is now: \_ G E \_ \_ F \_ (Positions 1 2 3 4 5 6 7) - Applying Clue 3 again: B sits to the immediate right of F.
F is at position 6. B must be immediately to its right, which is position 7.
Arrangement: \_ G E \_ \_ F B (Positions 1 2 3 4 5 6 7) - Clue 5: A sits to the immediate left of D.
This means A and D sit together as 'AD'.
The positions filled so far are 2(G), 3(E), 6(F), and 7(B).
The remaining people are A, C, and D. The remaining positions are 1, 4, and 5.
We need to place A, C, and D in positions 1, 4, and 5 such that A is immediately left of D ('AD').
Looking at the available positions (1, 4, 5), the only way to place 'AD' together is in positions 4 and 5 (A at 4, D at 5). Position 1 cannot accommodate 'AD' as there is no position 0 for A.
So, A is at position 4 and D is at position 5.
Arrangement: \_ G E A D F B (Positions 1 2 3 4 5 6 7)
Completing the Seating Arrangement
We have placed G, E, A, D, F, and B. The only remaining person is C. The only remaining position is position 1.
Therefore, C must sit at position 1.
The final arrangement from left to right is:
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Person | C | G | E | A | D | F | B |
Identifying the Person at the Extreme Left End
The extreme left end of the row is position 1.
Based on our final arrangement, the person sitting at position 1 is C.
Conclusion
By carefully analyzing each clue and systematically building the arrangement, we determined that C sits at the extreme left end of the straight row.
Revision Table: Seating Arrangement Clues & Deductions
| Clue | Deduction | Partial Arrangement / State |
|---|---|---|
| 7 people, straight row, facing North. | 7 positions: 1 2 3 4 5 6 7 | \_ \_ \_ \_ \_ \_ \_ |
| Only 2 people sit to the left of E. | E is at position 3. | \_ \_ E \_ \_ \_ \_ |
| G is an immediate neighbour of E. | G is at position 2 or 4. | Case 1: G E ... Case 2: ... E G ... |
| Only 3 people sit between G and F. | Combined with G's position and 7 seats, F must be at position 6 (if G is at 2). Case 2 (G at 4) is ruled out as it requires > 7 seats. | \_ G E \_ \_ F \_ |
| B sits to the immediate right of F. | F is at 6, so B is at 7. | \_ G E \_ \_ F B |
| A sits to the immediate left of D. | Remaining people (A, C, D) must fill remaining spots (1, 4, 5). 'AD' must be together. Only possible at 4 and 5. A at 4, D at 5. | \_ G E A D F B |
| Remaining person is C. | Remaining position is 1. C is at 1. | 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. They involve arranging people or objects in a straight line based on given conditions.
- Key Elements: Number of people/objects, direction they are facing (North, South, or mixed), and relative positioning clues (left/right of someone, between two people, at the ends, number of people between).
- Facing North vs. South: If everyone faces North, your left is their left, and your right is their right. If everyone faces South, their left is your right, and their right is your left. Mixed directions require careful attention to each person's facing direction.
- Solving Strategy:
- Draw a diagram representing the positions (blanks or numbered spots).
- Start with the most definite clues (e.g., someone sitting at an end, a specific number of people to one side of someone).
- Combine related clues (like 'FB' block).
- Consider possible cases if a clue presents options (like G being on either side of E) and rule out cases that contradict other clues or the total number of positions.
- Fill in positions as you deduce them.
- Use remaining people and positions to fit the last clues.
- Always re-read all clues to verify the final arrangement.
Similar Questions
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A, B, C, D, E and F are six friends sitting next to each other in a row of six seats in an auditorium. A is sitting to the immediate right of C. E is sitting on the last seat at the one end of the row. B is at the immediate right of A. F is at the last seat on the right side. D is sitting exactly between B and F. Who is sitting at the 3 rd position from the left?
Eight girls - L, M, N, O, P, Q, R and S - were seated in two rows, one facing the north, the other facing the south. Each row had only four chairs. There is equal distance between adjacent persons. Each person in a row faces another person from the other row. Q and P were diagonally opposite to each other. M was opposite to P. R was to the immediate right of L. S was second to the right of M. N was at one of the extreme ends of the row. Who among the following girls was sitting opposite to O?
Seven people, A, B, C, D, E, F and G, are sitting in a straight row, facing north. Only 1 person sits to the left of D. A is an immediate neighbour of D. Only 2 people sit between F and D. Only 3 people sit between C and G. B is not an immediate neighbour of G. Only 2 people sit between E and A.
Who sits to the immediate right of G?
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?
Ten people are sitting in two parallel rows containing 5 people each, in such a way that there is equal distance between adjacent persons.
In Row 1 – A, B, C, D and E are seated and all of them are facing the south.
In Row 2 – P, Q, R, S and T are seated and all of them are facing the north.
Thus, each person is facing another person from the other row.
B is sitting third to the right of A. P is facing an immediate neighbour of A. R is sitting third to the left of P. D is sitting second to the left of the person who is facing T. D is not sitting at any of the extreme ends of the row. C is facing Q.
Who is facing E?
Ten people are sitting in two parallel rows containing 5 people each, in such a way that there is equal distance between adjacent persons.
In Row 1 – A, B, C, D and E are seated and all of them are facing the north.
In Row 2 – P, Q, R, S and T are seated and all of them are facing the south.
Thus, each person is facing another person from the other row.
Neither A nor D is sitting at any of the extreme ends of the row. A is sitting to the immediate right of D. P is facing the person who is sitting second to the right of D. Only two people are sitting between P and Q. C is sitting to the immediate right of E. B is facing the person who is sitting second to the right of R. S is sitting at one of the positions to the right of T.
Who is facing T?
Seven friends, A, B, C, D, E, F and G are sitting in a straight line facing the same direction. E is sitting at one extreme end. E is sitting second to the left of C. B is sitting between C and A, whereas G and A are not sitting at any extreme end. F is seated immediately right of D. Who is seated in the middle?
Seven people Tanu, Rano, Beena, Shirin, Kanak, Aditya and Anshul are sitting in a straight row, facing north. Only two people sit to the left of Tanu. Only three people sit between Tanu and Rano. Beena sits second to the right of Shirin. Beena is an immediate neighbour of Rano. Kanak sits to the immediate right of Aditya.
Who sits at the extreme right end of the row?
Six colleagues - J, K, L, M, N and O - are sitting in two rows, 3 people in each row, which are in front of each other. There is equal distance between adjacent persons. Each person in a row faces another person from the other row. M is the immediate neighbour of L. J is sitting second to the left of L. N is not sitting at any end of the row. O, who is the immediate neighbour of N, is sitting diagonally opposite to J.
Who among the following is sitting in front of M?
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?
