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Question: What is the straight-line distance between town X and town Y? Statement I: Town X is 30 km due north of town Z. Statement II: Town Y is 40 km due east of town Z.

Competition practiceData Sufficiency
  • AStatement II alone is sufficient but Statement I alone is not
  • BStatement I alone is sufficient but Statement II alone is not
  • CEither statement alone is sufficient
  • DBoth statements together are needed (neither alone is sufficient)

Step-by-Step Solution

Neither statement alone links X and Y. Together they form a right triangle at Z, giving distance = square root of (30 squared + 40 squared) = 50 km, so both are needed.
Answer: D) Both statements together are needed (neither alone is sufficient)

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