Seven people, A, B, C, D, E, F and G are sitting in a straight line, facing north. Only two people sit to the right of E. Only two people sit between E and A. B sits second to the right of A. D sits to the immediate right of F. C sits at one of the positions to the left of G. Who sits at the extreme left end of the line?
This problem involves a linear seating arrangement puzzle. We need to determine the exact positions of seven people (A, B, C, D, E, F, G) sitting in a line facing north, based on a set of clues, and identify who sits at the extreme left end.
Arrangement: Initial Setup and Clues
We have seven positions in a line. Since they are facing north, we can represent the line from left (West) to right (East).
Positions: 1 2 3 4 5 6 7 (Left to Right)
Let's list the clues provided:
- There are seven people: A, B, C, D, E, F, G.
- They sit in a straight line facing North.
- Clue 1: Only two people sit to the right of E.
- Clue 2: Only two people sit between E and A.
- Clue 3: B sits second to the right of A.
- Clue 4: D sits at the immediate right of F.
- Clue 5: C sits at one of the positions to the left of G.
Deduction: Placing the People
We will deduce the arrangement step by step using the clues.
Clue 1: Position of E
Clue 1 states that only two people sit to the right of E. In a line of 7 positions, this means E must be in the 5th position from the left.
Arrangement: _ _ _ _ E _ _ (Positions 1 to 7)
Clue 2 & 3: Positions of A and B
Clue 2: Only two people sit between E (position 5) and A. This implies A must be to the left of E, specifically in position 2, so that positions 3 and 4 are between them.
Arrangement: _ A _ _ E _ _ (A is in position 2)
Clue 3: B sits second to the right of A. Since A is in position 2, the second position to the right is position 4. Thus, B is in position 4.
Arrangement: _ A _ B E _ _ (A=2, B=4, E=5)
We can see that the people in positions 3 and 4 (one currently unknown, B is in 4) are between E (pos 5) and A (pos 2). This satisfies Clue 2.
Clue 4: The F D Pair
Clue 4 states that D sits at the immediate right of F. This means F and D must sit together in the order 'F D'.
Looking at the current arrangement _ A _ B E _ _, the available seats are 1, 3, 6, and 7.
The pair 'F D' requires two adjacent empty seats. The only adjacent pair of empty seats available is at positions 6 and 7.
Therefore, F must be in position 6 and D in position 7.
Arrangement: _ A _ B E F D (F=6, D=7)
Clue 5: Placing C and G
Clue 5 states that C sits to the left of G.
The remaining people are C and G. The remaining seats are positions 1 and 3.
Current Arrangement: _ A _ B E F D
To satisfy C being to the left of G, C must occupy position 1 and G must occupy position 3.
Arrangement: C A G B E F D
Let's check if C is left of G. C is in position 1, G is in position 3. Yes, C is to the left of G.
Final Arrangement Visualization
The complete arrangement of the seven people from left to right is:
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Person | C | A | G | B | E | F | D |
Leftmost Seat Answer
The question asks who sits at the extreme left end of the line. The extreme left end corresponds to position 1.
Based on the final arrangement derived (C A G B E F D), the person sitting at position 1 is C.
Important Questions from Seating arrangement
Five people A, B, C, D and E are seated about a round table. Every chair is spaced equidistant from adjacent chairs.
(i) C is seated next to A
(ii) A is seated two seats from D
(iii) B is not seated next to A
On the basis of above information, which of the following must be true?
1. D is seated next to B
2. E is seated next to A
3. D and C are separated by two seats
Select the correct answer using the code given below:
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1. A is taller than B.
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