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A question is given, followed by two statements labelled I and II. Read the question and the statements, and decide whether the data provided in the statements are sufficient/necessary to answer the question.

Question: In a six storey building, the lowermost floor is the first floor and the topmost floor is the sixth floor. There is parking on the first floor, and all of the people are living on different floors. On which floor does Hitesh live?

Statements:
I. Ishan lives on the fourth floor. Only Hitesh lives between Jagdish and Ishan.
II. Ishan lives immediately above Karan.

  • A.The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • B.The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • C.The data given in both statements I and II together are necessary to answer the question.
  • D.The data given in both statements I and II together are not sufficient to answer the question.

Answer: C

Both statements together are needed, so the answer is the third option. The building has six floors and parking is on the first, so the people live on floors 2 to 6. Statement I alone puts Ishan on the fourth floor with only Hitesh between him and Jagdish, which allows two cases: Jagdish on the second floor and Hitesh on the third, or Hitesh on the fifth and Jagdish on the sixth.

Statement II alone says only that Ishan lives immediately above Karan, which tells us nothing about Hitesh. Together, Karan is on the third floor, which rules out the first case, so Hitesh lives on the fifth floor. Neither statement alone is sufficient, and together they are.

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