Directions (83-87): Study the following information carefully and answer the questions given below-

Six persons are living on different floors of six storey building. Ground floor is numbered as 1st floor and just above the floor is numbered as 2nd floor and so on till the topmost floor is numbered as 6th floor. For Diwali Each of them made rangoli on their floor in different colours. B lives on an even numbered floor but neither made rangoli in Hazel nor purple colour. Three persons live between B and the one who made rangoli in green colour. One person lives between the ones who made rangoli in green and blue colour. E lives below the one who made rangoli in blue colour but not just below. E does not make rangoli in purple and green colour. The number of persons live below A is same as the number of persons live above E. D lives above the one who made rangoli in purple colour but not just above. The one who made rangoli in yellow colour lives above the one who made rangoli in violet colour. C lives above F. E does not make rangoli in violet colour .

Who lives on the topmost floor?

Correct Option: A

Let us solve the puzzle step-by-step to find out who lives on each floor and the color of rangoli they made.

Step 1: Floor Positions for B, Green, and Blue Rangoli

There are 6 floors numbered 1 to 6 (ground floor is 1, top floor is 6).

B lives on an even-numbered floor (2, 4, or 6).

Three persons live between B and the one who made a green rangoli.

- Case 1: If B lives on floor 6, then the person who made green rangoli lives on floor 2 (3 floors between them: 5, 4, 3).

- Case 2: If B lives on floor 2, then the person who made green rangoli lives on floor 6 (3 floors between them: 3, 4, 5).

- Note: B cannot live on floor 4 because 3 floors between B and green rangoli would exceed 6 floors.

One person lives between the ones who made green and blue rangoli.

- In Case 1 (Green on floor 2), Blue rangoli must be on floor 4.

- In Case 2 (Green on floor 6), Blue rangoli must be on floor 4.

Step 2: Position of E and A

E lives below the one who made blue rangoli (floor 4) but not just below (so E cannot be on floor 3). Thus, E must be on floor 1 or floor 2.

E does not make green rangoli (which is on floor 2 in Case 1 or floor 6 in Case 2).

- In Case 1: Green is on floor 2, so E cannot be on floor 2. Thus, E must live on floor 1.

- In Case 2: B is on floor 2, so E cannot be on floor 2. Thus, E must live on floor 1.

So in both cases, E lives on floor 1.

The number of persons living below A is the same as the number of persons living above E.

Since E lives on floor 1, there are 5 persons above E. Therefore, there must be 5 persons below A, which means A lives on floor 6.

Step 3: Determining Case Validity and Floor Assignments

Since A lives on floor 6, B cannot live on floor 6.

Therefore, Case 1 (B on floor 6) is eliminated, and Case 2 (B on floor 2) is correct!

Let's summarize the floor layout so far:

- Floor 6: A (Green rangoli)

- Floor 5: Free

- Floor 4: Blue rangoli

- Floor 3: Free

- Floor 2: B

- Floor 1: E

Step 4: Placing C, D, and F

We are given that C lives above F.

D lives above the one who made purple rangoli, but not just above.

The available empty floors for persons are floors 5, 3, and 1, 2, 4 (already partially occupied by B, E, A).

The empty floors for person names are floor 5, floor 4, and floor 3.

Since D lives above the one who made purple rangoli, D must be on floor 5 or floor 4.

Also, C lives above F. So C must be on floor 5, D on floor 4, and F on floor 3.

So the person arrangement from Top to Bottom is:

- Floor 6: A

- Floor 5: C

- Floor 4: D

- Floor 3: F

- Floor 2: B

- Floor 1: E

Step 5: Color Arrangement

- Floor 6 (A): Green

- Floor 4 (D): Blue

D lives above the one who made purple rangoli but not just above (not on floor 3). B (floor 2) doesn't make hazel/purple, E (floor 1) doesn't make purple. So purple must be on floor 3 (F) or floor 2/1. Since D (floor 4) is above purple but not just above, purple must be on floor 2 or floor 1. B (floor 2) does not make purple, so E (floor 1) or F (floor 3 - not allowed as D is not just above purple) cannot have purple. Wait, not just above floor 4 means purple is on floor 2 or floor 1. Since B does not make purple, purple is on floor 1 (E) or floor 2. But E does not make purple, so purple must be on floor 2 (B doesn't make purple either, wait: E does not make purple, B does not make purple... so purple must be made by F on floor 3? But D is on floor 4, so D would be just above purple if purple was on floor 3. Thus, D must be on floor 5! Let's re-verify: If D is on floor 5, C is on floor 4, F is on floor 3, then purple can be on floor 3 (F) because D (floor 5) is above purple (floor 3) but NOT just above!).

In any case, we have determined the person living on the topmost floor (floor 6) is A.

Thus, A lives on the topmost floor.