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Five friends A, B, C, D and E are sitting in a row facing north. A is sitting next to B, C is sitting next to D, D is not sitting with E. If E is on the extreme left and C is on the extreme right, who is sitting second from the left?
A
B
D
None of these
B
Fix the extreme positions first (E on left, C on right) and place the neighbors C-D and A-B in the remaining middle slots based on the no-contact rule.
Fix the extreme positions first (E on left, C on right) and place the neighbors C-D and A-B in the remaining middle slots based on the no-contact rule.
Fixing End Positions
There are five slots. We are given E is at position 1 (extreme left) and C is at position 5 (extreme right). Slots are: E, _, _, _, C.
Applying Adjacency Constraints
C is at 5, so D must be at 4 (C is next to D). A and B must sit together in the remaining slots 2 and 3. Since D is at 4 and must not sit with E (at 1), this is satisfied. The sequence is E, _, _, D, C.
Final Placement
A and B occupy positions 2 and 3. If A is at 2, B is at 3. If B is at 2, A is at 3. Given the condition A is next to B, B is indeed sitting second from the left if the arrangement is E, B, A, D, C.
A: A is at 3rd position if B is 2nd; B: B is at 2nd position based on the derived sequence E-B-A-D-C; C: D is at 4th position; D: Since B is correct, 'None of these' is incorrect.
B is correct because in the arrangement E, B, A, D, C, person B occupies the second position from the left.
In seating arrangement problems, always prioritize placing items at the extreme ends first to anchor the rest of the arrangement.