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

E

Q

Show Answer

Correct Answer :

Option B

T

T

Solution :

Step-by-step Explanation:

To find the odd one out, we must first determine the floor arrangement of the ten persons (P to Y) on the 10 floors (numbered 1 to 10 from bottom to top) using the given clues.

1. Position of V and S:
- V lives on a prime-numbered floor below the 4th floor. The floors below the 4th floor are 1, 2, and 3. The prime numbers in this range are 2 and 3. So, V lives on either floor 2 or floor 3.
- S lives below V but not on the ground floor (floor 1).
- If V were on floor 2, S would have to be on floor 1, which is not allowed. Therefore, V must live on floor 3, and S must live on floor 2.

2. Position of P:
- There are as many persons living above S as below P.
- Since S lives on floor 2, there are 8 floors above S (floors 3, 4, 5, 6, 7, 8, 9, and 10).
- Thus, there must be 8 floors below P. This means P lives on floor 9.

3. Position of Y and X:
- More than three persons live between P and Y.
- P is on floor 9, so Y must live on floor 4 or below (leaving at least 4 floors between them, i.e., floors 8, 7, 6, 5).
- Since floors 3 and 2 are occupied by V and S respectively, Y can only live on floor 4 or floor 1.
- Since Y lives above X, Y cannot be on the bottommost floor (floor 1). Thus, Y lives on floor 4, and X lives on floor 1.

4. Position of T:
- One person lives between T and Y.
- Y is on floor 4, so T must live on floor 6 (since floor 2 is occupied by S).

5. Position of R and W:
- W lives just below R, which means R and W live on adjacent floors (R directly above W).
- The remaining vacant floors are 10, 8, 7, and 5. The only consecutive vacant floors are 8 and 7. Therefore, R lives on floor 8 and W lives on floor 7.

6. Position of U and Q:
- U does not live below Q, which means U lives above Q.
- The remaining vacant floors are 10 and 5. Thus, U lives on floor 10 and Q lives 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 Group logic:
Let us analyze the floor numbers of the given options:
- V lives on floor 3 (Prime number)
- T lives on floor 6 (Composite number / Even)
- S lives on floor 2 (Prime number)
- W lives on floor 7 (Prime number)
- Q lives on floor 5 (Prime number)

Except T, all other persons live on prime-numbered floors. Therefore, T does not belong to the group.

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