Six persons A, B, C, D, E and F are sitting equidistant from each other around a circular table (facing the centre of the table).
Consider the Question and two Statements given below:
Question : Who is sitting on the immediate left of A?
Statement-1 : B is sitting opposite to C and D is sitting opposite to E.
Statement-2 : F is sitting on the immediate left of B.
Which one of the following is correct in respect of the Question and the Statements?

The correct option is Both Statement-1 and Statement-2 are not sufficient to answer the Question.

Let's analyze the problem step-by-step to understand why the two statements together are still not sufficient to determine who is sitting on the immediate left of A.

We have 6 persons: A, B, C, D, E, and F sitting around a circular table, facing the center. Since they are equidistant, we can think of their positions as 6 numbered seats (1 to 6) in a circle, going clockwise.

Let's analyze Statement-1:
B is sitting opposite to C, and D is sitting opposite to E.
Since B and C are opposite to each other, if we place B at seat 1, C must be at seat 4.
D and E are also opposite to each other. This leaves two pairs of opposite seats available: (2, 5) and (3, 6).
Thus, D and E can occupy seats (2, 5) or (3, 6) in any order (e.g., D at 2 and E at 5, or E at 2 and D at 5).
The remaining two seats will be occupied by A and F. However, Statement-1 alone gives no information about where A and F are relative to B, C, D, or E. Therefore, Statement-1 alone is not sufficient.

Let's analyze Statement-2:
F is sitting on the immediate left of B.
If we place B at seat 1, then F (sitting to the immediate left of B, which is clockwise when facing the center) will be at seat 2.
This statement gives no information about C, D, E, or A. Therefore, Statement-2 alone is not sufficient.

Now, let's combine Statement-1 and Statement-2:
From Statement-2, if B is at seat 1, F is at seat 2 (immediate left of B).
From Statement-1, B is opposite to C, so C must be at seat 4 (opposite to seat 1).
Now we have seats 1 (B), 2 (F), and 4 (C) filled. The remaining empty seats are 3, 5, and 6.
From Statement-1, D is sitting opposite to E. Let's look at the remaining empty seats to see which ones are opposite to each other:
The opposite of seat 3 is seat 6.
The opposite of seat 5 is seat 2 (which is already occupied by F).
Therefore, the only available pair of opposite seats for D and E is (3, 6).
This means D and E must occupy seats 3 and 6 (in some order: either D at 3 and E at 6, or E at 3 and D at 6).
Now, the only remaining seat for A is seat 5.
Let's look at the final arrangement based on the seats:
Seat 1: B
Seat 2: F
Seat 3: D or E
Seat 4: C
Seat 5: A
Seat 6: E or D

The question asks: Who is sitting on the immediate left of A?
Since A is at seat 5, the person sitting on the immediate left of A (clockwise direction when facing the center) is at seat 6.
As determined, seat 6 is occupied by either E or D, depending on how D and E are arranged.
Since we cannot uniquely determine whether D or E is at seat 6, we cannot uniquely identify who is on the immediate left of A.

Therefore, even by combining both Statement-1 and Statement-2, we do not have sufficient information to answer the question.