Question
The question given below consists of 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. Read all the statements and answer the question. Eight persons S, T, U, V, W, X, Y, and Z live on different floors of an eight-floor building such that the bottommost floor is numbered as 1 and the floor immediately above it is numbered as 2 and so on however not necessarily in the same order. Each floor has same dimension. Who lives on the topmost floor? Statement I: Only three persons live above U. V lives three floors below U. X lives one floor above Y. Only three persons live between T and S. W lives below Z. Statement II: X lives four floors above Z. Only V and W live below Z. Y lives two floors above S. Neither U nor W live on an even numbered floor. Statement III: T lives one floor above X, who lives on a prime numbered floor. S lives four floors below T. V lives one floors above W. V lives on a prime numbered floor. Only two persons live between Z and Y.Solution
From statement I alone, only three persons live above U. V lives three floors below U. X lives one floor above Y. Only three persons live between T and S. W lives below Z. We get:
Either S or T lives on the topmost floor. Thus, data given in statement I alone is not sufficient. From statement II alone, X lives four floors above Z. Only V and W live below Z. Y lives two floors above S. Neither U nor W live on an even numbered floor. We get:
Either Y or T lives on the topmost floor. Thus, data given in statement II alone, is not sufficient. From statement III alone, T lives one floor above X, who lives on a prime numbered floor. S lives four floors below T. V lives one floors above W. V lives on a prime numbered floor. Only two persons live between Z and Y. We get:
T lives on the topmost floor. Thus, data given in statement III alone is sufficient. So, data given in only statement III alone is sufficient to answer the question.
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