Question Details

Study the following information carefully and answer the questions given below:

Ten persons P to Y live in 10 storey building but not necessarily in the same order. The bottommost floor is numbered as 1 and so on till the topmost floor is numbered as 10.

V lives on prime numbered floor but below 4th floor. S lives below V but not on the ground floor. There are as many persons live above S as below P. More than three persons live between P and Y who lives above X. One person lives between T and Y. W lives just below R. U does not live below Q.

Four of the following five are alike in a certain way and hence form a group. Which of the following does not belong to that group?

Options

A

V

B

T

C

S

D

W

Show Answer

Correct Answer :

Option B

T

Solution :

The correct option is T.


Step-by-Step Explanation:


Let us arrange the ten persons (P, Q, R, S, T, U, V, W, X, Y) on the 10 floors numbered 1 to 10 from bottom to top based on the given clues:


1. V lives on a prime numbered floor below the 4th floor:
The prime numbers below 4 are 2 and 3. Since S lives below V but not on the ground floor (floor 1), S must be on floor 2. Therefore, V must live on floor 3 and S lives on floor 2.


2. There are as many persons living above S as below P:
S is on floor 2, which means there are 8 persons living above S (floors 3 to 10). Thus, there must be 8 persons living below P. This places P on floor 9.


3. More than three persons live between P and Y who lives above X:
P is on floor 9. Having more than 3 persons (at least 4 persons) between P and Y means Y must live on floor 4 or lower. But floors 3 and 2 are occupied by V and S, and Y lives above X. So Y must live on floor 4, which leaves X on floor 1.


4. One person lives between T and Y:
Y is on floor 4. The floors adjacent with 1 person between them are floor 2 (occupied by S) or floor 6. Therefore, T must live on floor 6.


5. W lives just below R:
The remaining adjacent available floors are floors 8 and 7, or floors 10 and 8 (not adjacent). Thus, R must be on floor 8 and W on floor 7.


6. U does not live below Q:
The remaining unoccupied floors are 10 and 5. Since U lives above Q, U must live on floor 10 and Q on floor 5.


Final Floor Arrangement:

Floor 10: U
Floor 9: P
Floor 8: R
Floor 7: W
Floor 6: T
Floor 5: Q
Floor 4: Y
Floor 3: V
Floor 2: S
Floor 1: X


Finding the odd one out:

Let us look at the floor numbers for the given options:
• V lives on Floor 3 (Odd floor)
• S lives on Floor 2 (Even floor)
• W lives on Floor 7 (Odd floor)
• T lives on Floor 6 (Even floor)


Looking closer at their positions relative to odd/even prime floors or adjacent positions: V (3), S (2), W (7) are living on prime-numbered floors or prime positions, whereas T lives on Floor 6 (a composite even floor). Hence, T is the one that does not belong to the group.

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