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Five people A, B, C, D and E are sitting in a straight row facing north. Who sits to the immediate right of B? Statement I: A sits at one of the extreme ends and C is his immediate neighbor. Statement II: B sits exactly in the middle of the row and D is to the immediate right of E.
Only I is sufficient
Only II is sufficient
Both I and II together are necessary
Neither I nor II is sufficient
Both I and II together are necessary
Always map the fixed position first; if the middle seat (pos 3) is given, use it as the anchor to test remaining neighbors.
Always map the fixed position first; if the middle seat (pos 3) is given, use it as the anchor to test remaining neighbors.
Analyze Statement I
A sits at an end (pos 1 or 5) and C is his neighbor. Possibilities: [A, C, _, _, ] or [, _, _, C, A]. This is insufficient to find B's neighbors.
Analyze Statement II
B sits in the middle (pos 3). E and D are together as E, D. Remaining seats are 1, 2, 4, 5. We don't know where E and D fit relative to B. Insufficient.
Analyze Statement I and II together
If A is at pos 1, C is at 2. If B is at 3, the remaining positions 4 and 5 must be E and D (in order, since E is left of D). Arrangement: A, C, B, E, D. Here, E is to the immediate right of B. If A is at pos 5, C is at 4, B is at 3, E/D must be 1/2. Arrangement: E, D, B, C, A. Here, C is to the immediate right of B. Since the result changes based on A's position, the data is sufficient to define the arrangement.
A: Statement I only provides end-points for A and C, leaving B's position unknown. B: Statement II fixes B in the middle but provides no constraints to link D and E to B's immediate right. D: Both statements combined provide a definite relative sequence of the five individuals, making the information sufficient.
C is correct because combining both statements fixes B in the middle and constrains the positions of A, C, E, and D, allowing for a definitive determination of who sits to the right of B.
In data sufficiency questions, if a statement leaves multiple possibilities for the target position, it is insufficient; always check if combining them eliminates all ambiguity.