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How far is the post office from Sameer's house in a straight line? Statement I: From his house Sameer walks 8 km south and then 6 km west to reach the post office. Statement II: The post office is to the south-west of his house. Which statement(s) are sufficient to answer the question?

Competition practiceData Sufficiency
  • AEither statement alone is sufficient
  • BStatement I alone is sufficient but Statement II alone is not
  • 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 gives two perpendicular legs, so the distance = √ km. Statement II gives only a direction, not a distance. So I alone is sufficient.
Answer: B) Statement I alone is sufficient but Statement II alone is not

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