Is point A to the east of point B? (I) Point A is 5km North of C. (II) Point B is 5km South of C.

Question

Examoogle · Accepted Answer

The correct answer is Option D: Neither is sufficient. Map points to a vertical axis using a common reference point. If both points lie on the same vertical line, they are North/South of each other, not East/West.

Step-by-Step Solution & Concepts:
Shortcut Trick: Map points to a vertical axis using a common reference point. If both points lie on the same vertical line, they are North/South of each other, not East/West.

Steps: Analyze Statement I: Point A is 5km North of C. This establishes the position of A relative to C on a North-South axis.. Analyze Statement II: Point B is 5km South of C. This also places B on the same North-South axis as C.. Synthesize Information: Since A is North of C and B is South of C, both A and B lie on the same longitudinal line (North-South axis). Therefore, A is neither East nor West of B; they are on the same line.

Answer: D is correct because both statements together establish that A and B lie on the same North-South line relative to C, making it impossible for A to be East of B.

Why options are wrong: A: Statement I only provides the location of A relative to C, missing B. B: Statement II only provides the location of B relative to C, missing A. C: Combining both statements confirms they lie on the same vertical line, which proves they are not East-West of each other, not that they are East.

Exam Tip: In Data Sufficiency questions involving directions, always check if the points lie on the same axis; if they share a common reference point on a straight line, they cannot be East/West of each other.

Examoogle · Answer

Option A: Only I is sufficient

Examoogle · Answer

Option B: Only II is sufficient

Examoogle · Answer

Option C: Both I and II are sufficient

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