Six friends - A, B, C, D, E and F - are sitting around a circular table, facing towards the centre of the table.
D and C are immediate neighbours of A. B is second to the right of A. F is an immediate neighbour of E, and fourth to the left of D. What is the position of E?
Correct Answer :
Immediate left of C
Solution :
The correct option is Immediate left of C.
Let's determine the seating arrangement step-by-step for the six friends (A, B, C, D, E, and F) sitting around a circular table facing towards the centre.
Step 1: Understand direction and positions
Let us label the 6 positions around the circular table in a clockwise order as 1, 2, 3, 4, 5, and 6.
Since all friends are facing the centre of the table:
- Moving clockwise corresponds to moving to the right.
- Moving counter-clockwise corresponds to moving to the left.
Step 2: Place A and B
- Place A at position 1.
- B is second to the right of A. Moving 2 positions clockwise from position 1 gives position 3.
So, B is at position 3.
Step 3: Place D and C
- D and C are immediate neighbours of A. This means they must occupy the positions directly adjacent to position 1, which are position 2 and position 6.
Step 4: Determine the exact position of D and F
- We are given that F is fourth to the left of D.
- Let's test the position of D:
- If D were at position 6, moving 4 positions counter-clockwise (to the left) would put F at position 2. But position 2 must be occupied by C, which creates a conflict.
- Therefore, D must be at position 2, which means C is at position 6.
- With D at position 2, moving 4 positions counter-clockwise (left) from position 2:
- 1st left: position 1 (A)
- 2nd left: position 6 (C)
- 3rd left: position 5
- 4th left: position 4
- Thus, F is placed at position 4.
Step 5: Place E and verify conditions
- The only remaining unoccupied position is position 5, so E must be at position 5.
- We verify that F (at position 4) and E (at position 5) are immediate neighbours, which satisfies all given conditions.
Step 6: Determine the position of E
- The final clockwise arrangement around the table is:
Position 1: A
Position 2: D
Position 3: B
Position 4: F
Position 5: E
Position 6: C
- Looking at C (at position 6) facing the centre, moving 1 position to the left (counter-clockwise) leads to position 5, where E is seated.
- Therefore, the position of E is at the Immediate left of C.
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