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Question

Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:

Six people – Geeta, Rajat, Rekha, Riya, Gopal and Diwakar are living in six floor building each lives on one of the floors of the building. There are six floors in the building such that ground floor is numbered I, the floor above it is numbered II and so on. Who is living on Ground floor?

I. There is only one floor between the floors on which floor Rekha and Rajat are living. Geeta is living on an even numbered floor.

II. Gopal is not living on an even numbered floor. Rajat is living on an even numbered floor. Rajat is not living on the top floor

III. Riya is living on an odd numbered floor. There are two floors between the floor on which Riya and Geeta are living. Gopal is living immediately above Rekha.

A If the data in statement I alone or in the statement II alone or in the statement III alone is sufficient to answer the question. Correct Answer Incorrect Answer
B If the data in statement I and II are sufficient to answer the question, while the data in statement III are not sufficient to answer the question. Correct Answer Incorrect Answer
C If the data in statement II and III are sufficient to answer the question, while the data in statement I is not sufficient to answer the question. Correct Answer Incorrect Answer
D If the data in statement I and III are sufficient to answer the question, while the data in statement II is not sufficient to answer the question. Correct Answer Incorrect Answer
E If the data in all the statement I, II and III are necessary to answer the question. Correct Answer Incorrect Answer

Solution

From Statement I: There is only one floor between the floors on which floor Rekha and Rajat are living. Geeta is living on an even numbered floor. This statement alone is not sufficient to answer the question. From Statement II:Gopal is not living on an even numbered floor. Rajat is living on an even numbered floor. Rajat is not living on the top floor This statement alone is not sufficient to answer the question. From Statement III:Riya is living on an odd numbered floor. There are two floors between the floor on which Riya and Geeta are living. Gopal is living immediately above Rekha. Clearly we can see that in Case 3 there is no space for Gopal and Rekha to accomodate. In cases 1 and 2, Tolu lives on an even numbered floor which violates the first reference. Only case 2A satisfies all the conditions. So, Geeta lives on the top-most floor. Statement (II) and Statement (III) together are sufficient.

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