Six persons A, B, C, D, E and F are sitting around a roundtable facing the centre. B is seated to the left of D. E is seated to the right of C. A is facing F, who is seated to the left of C. Who is seated to the left of A?
- AE
- BD
- CB
- DC
Solution & Step-by-step Explanation
Let the 6 seats around the circular table facing the center be numbered 1 to 6 in a clockwise direction.
"F is seated to the left of C." Let's place C at position 1. Facing the center, the left of C is position 2. So, F is at position 2.
"A is facing F." In a 6-person table, the person opposite to position 2 is position 5 (2+3=5). So, A is at position 5.
"E is seated to the right of C." Facing the center, the right of C (position 1) is position 6. So, E is at position 6.
Now, the remaining open seats are positions 3 and 4 for B and D.
"B is seated to the left of D." If D is placed at position 4, his immediate left is position 3. So, B is at position 3. Let's verify: D at 4, B at 3. The left of D is indeed B.
The full circular layout in clockwise order (from 1 to 6) is:
Position 1: C
Position 2: F
Position 3: B
Position 4: D
Position 5: A
Position 6: E
The question asks: "Who is seated to the left of A?"
Since the arrangement is facing the center, moving clockwise gives the immediate left. The position to the immediate left of A (position 5) is position 4, which is occupied by D.
"F is seated to the left of C." Let's place C at position 1. Facing the center, the left of C is position 2. So, F is at position 2.
"A is facing F." In a 6-person table, the person opposite to position 2 is position 5 (2+3=5). So, A is at position 5.
"E is seated to the right of C." Facing the center, the right of C (position 1) is position 6. So, E is at position 6.
Now, the remaining open seats are positions 3 and 4 for B and D.
"B is seated to the left of D." If D is placed at position 4, his immediate left is position 3. So, B is at position 3. Let's verify: D at 4, B at 3. The left of D is indeed B.
The full circular layout in clockwise order (from 1 to 6) is:
Position 1: C
Position 2: F
Position 3: B
Position 4: D
Position 5: A
Position 6: E
The question asks: "Who is seated to the left of A?"
Since the arrangement is facing the center, moving clockwise gives the immediate left. The position to the immediate left of A (position 5) is position 4, which is occupied by D.