Step 1: Understand the Setup
We are analyzing a scenario with six people (A, B, C, D, E, F) seated around a circular table, all facing the center. The goal is to determine their exact seating positions based on the given clues and then identify who is sitting to the immediate left of both A and C.
Understanding Directions: Since the people are facing the center of the table, their left corresponds to the Counter-Clockwise (CCW) direction around the table, and their right corresponds to the Clockwise (CW) direction.
Step 2: Analyze the Clues and Deduce Relationships
- Clue 1: "F is sitting to the immediate left of B". This means F is the CCW neighbor of B. We can represent this relationship as F ← B (CCW).
- Clue 2: "F is sitting ... to the immediate right of A". This means F is the CW neighbor of A. We can represent this as A → F (CW).
- Clue 3: "E is sitting to the immediate left of A". This means E is the CCW neighbor of A. We can represent this as E ← A (CCW).
- Clue 4: "C is sitting exactly between E, F, and D". This clue provides context about C's position relative to E, F, and D, but might be less precise than direct adjacency clues.
- Clue 5: "C is sitting to the immediate right of D". This means C is the CW neighbor of D. We can represent this as D → C (CW).
Step 3: Construct the Seating Arrangement
We can combine the direct adjacency clues to build the arrangement:
- Combining E ← A (Clue 3) and A → F (Clue 2): Since E is to the left (CCW) of A, and F is to the right (CW) of A, they sit in the order E, A, F consecutively around the table (viewed CCW). In CW order, this sequence is E, A, F.
- Adding F ← B (Clue 1): F is the left (CCW) neighbor of B. This means B is the right (CW) neighbor of F. Extending the CW sequence: E, A, F, B.
- Adding D → C (Clue 5): D is immediately followed by C in the CW direction.
- Now, we integrate the pair (D, C) into the existing CW sequence (E, A, F, B) to form a complete circle of 6 people. The two possible complete CW arrangements are:
- Possibility 1: D, C, E, A, F, B
- Possibility 2: E, A, F, B, D, C
- Let's verify Possibility 1 (D, C, E, A, F, B in CW order) against all specific clues:
- F is immediate left (CCW) of B? Yes.
- F is immediate right (CW) of A? Yes.
- E is immediate left (CCW) of A? Yes.
- C is immediate right (CW) of D? Yes.
- The arrangement D, C, E, A, F, B satisfies all direct positional clues. Clue 4 ("C between E, F, D") is interpreted loosely as C's neighbors (D and E) are from the mentioned set.
- (Possibility 2, E, A, F, B, D, C CW, also satisfies the primary adjacency rules but leads to the same conclusion for the specific question asked). We will use Arrangement 1 for explanation.
Step 4: Determine Who is to the Immediate Left of A and C
The question asks: "Who is sitting to the immediate left of both A and C?"
As established, "immediate left" means the Counter-Clockwise (CCW) neighbor.
Consider the determined arrangement (Clockwise): D, C, E, A, F, B.
- To find the person to the immediate left (CCW) of A, we look at the person preceding A in the CW order, which is E. So, E is to the immediate left of A.
- To find the person to the immediate left (CCW) of C, we look at the person preceding C in the CW order, which is D. So, D is to the immediate left of C.
The question asks for a single individual who is the immediate left neighbor to *both* A and C. According to our analysis based on the provided clues, E is left of A, and D is left of C. No single person occupies the immediate left position for both A and C simultaneously.
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?
