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What is the shortest distance between point X and point Y? Statement I: To reach Y from X one goes 9 km north and then some distance east. Statement II: Y lies 12 km east and 9 km north of X.

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

Step-by-Step Solution

Statement I leaves the eastward distance unknown, so the distance cannot be computed. Statement II gives both legs (12 km and 9 km), so the distance is √(144+81) = 15 km.
Answer: C) Statement II alone is sufficient but Statement I alone is not

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