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
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?
