Question Details

Who among the following lives on 4th floor? Study the following information carefully and answer the questions given below:

Six persons –P, Q, R, S, T and U are living on different floors of the six-storey building such that the lowermost floor is numbered as one and the floor immediately above it is numbered as two and so on. Each of them likes different colours- Red, Blue, Grey, Black, Pink and White but not necessarily in the same order. Only two floors are between the one who likes grey colour and U who lives on an odd numbered floor. P lives immediately above U. The number of floors below P is one more than the number of floors above the one who likes white. Only one floor is between Q and the one who likes pink colour. The one who likes Pink colour and the one who likes blue colour live on the adjacent floor. Neither U nor P likes blue colour. The number of floors between the one who likes black and S is two less than the number of floors between S and the one who like red. T likes neither grey nor red.

Options

A

Q

B

The one who likes blue

C

T

D

The one who likes white

Show Answer

Correct Answer :

Option D

The one who likes white

Solution :

To find the person who lives on the 4th floor, we can analyze the given information step-by-step:

1. Determine the positions of U and P:
We are given that the building has six floors numbered 1 (lowermost) to 6 (uppermost).
U lives on an odd-numbered floor, so U can live on floor 1, 3, or 5.
P lives immediately above U. This gives us three possible cases:
- Case 1: U lives on floor 1, and P lives on floor 2.
- Case 2: U lives on floor 3, and P lives on floor 4.
- Case 3: U lives on floor 5, and P lives on floor 6.

2. Analyze the relation between U and the one who likes Grey:
There are only two floors between U and the one who likes grey.
- In Case 1 (U on floor 1), the one who likes grey must live on floor 4.
- In Case 2 (U on floor 3), the one who likes grey must live on floor 6.
- In Case 3 (U on floor 5), the one who likes grey must live on floor 2.

3. Analyze the relation between P and the one who likes White:
We are told that the number of floors below P is one more than the number of floors above the one who likes white.
Let Fbelow be the number of floors below P, and Fabove be the number of floors above the white-colour-liking person. The relation is:
Fbelow = Fabove + 1
Let us test this relation for our cases:
- In Case 1: P is on floor 2.
The number of floors below P is 1.
Applying the relation: 1 = Fabove + 1 ⇒ Fabove = 0.
This means the one who likes white lives on the top floor (floor 6).
- In Case 2: P is on floor 4.
The number of floors below P is 3.
Applying the relation: 3 = Fabove + 1 ⇒ Fabove = 2.
This means there are 2 floors above the one who likes white, placing the one who likes white on floor 4.
- In Case 3: P is on floor 6.
The number of floors below P is 5.
Applying the relation: 5 = Fabove + 1 ⇒ Fabove = 4.
This means there are 4 floors above the one who likes white, placing the one who likes white on floor 2.

4. Identify the floor 4 occupant:
In Case 2, P lives on floor 4, and the color liked by the person on floor 4 is white. Hence, the occupant of the 4th floor is "The one who likes white".
This directly matches one of our options: The one who likes white.

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