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    Question

    How many persons live between V and

    Y? Answer the questions based on the information given below. Ten persons P through Y live in a building having 10 floors but not in the same order, such that ground floor is numbered as 1 and floors immediately above the ground floors is numbered as 2 and so on till the topmost floor i.e. 10. At least one person lives below P. S lives on the floor which is 3 times of the floor number on which P lives. Three persons live between R and X. U lives immediately above T. Two persons live between S and V. Y lives on the topmost floor. Only one person lives between V and Q, who lives on odd numbered floor but below the sixth floor. T lives above S. W lives three floors above the floor on which Q lives.
    A Five Correct Answer Incorrect Answer
    B Six Correct Answer Incorrect Answer
    C Eight Correct Answer Incorrect Answer
    D Four Correct Answer Incorrect Answer
    E One Correct Answer Incorrect Answer

    Solution

    At least one person lives below P which means P lives either on 2nd or 3rd floor as S lives on the floors which is the 3 times of the floor number on which P lives. 2. Two persons live between S and V. Y lives on the topmost floor. Only one person lives between V and Q, who lives on odd numbered floor but below the sixth floor. So, S either lives on 6th or 9th floor. Also, V must be living below S as Q lives odd number floor below the 6th floor. Also, Q either lives on 5th or 1st floor. Case I: When P lives on 2nd floor: Case II: When P lives on 3rd floor but this case is invalid as Q lives on odd number floor: T lives above S. W lives three floors above the floor on which Q lives. 4. Three persons live between R and X. U lives immediately above T. Now, Q must be living on ground floor as W lives 3 floors above Q. Also, U either lives on 9th or 8th floor as T lives above S and immediately below U but as three persons live between R and X which means U must be living on 8th floor and either R or X lives on 9th floor. The final arrangement is as follows:

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