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 .
How many persons live between E and F?
Correct Answer :
One
Solution :
Correct Option: One
Let us analyze the given information step-by-step to determine the floor arrangement of all six persons and their respective rangoli colors:
1. The building has six floors numbered 1 (bottom) to 6 (top).
2. B lives on an even-numbered floor (2, 4, or 6).
3. Three persons live between B and the person who made a green rangoli. If B is on floor 6, the green rangoli is on floor 2. If B is on floor 2, the green rangoli is on floor 6. (B cannot be on floor 4 because 3 floors gap is not possible).
4. One person lives between the green and blue rangoli makers.
5. E lives below the blue rangoli maker, but not just below. E does not make purple, green, or violet rangolis.
6. The number of persons living below A is the same as the number of persons living above E.
7. C lives above F.
8. D lives above the person who made a purple rangoli, but not just above.
9. The person who made a yellow rangoli lives above the one who made a violet rangoli.
Let us test the arrangement:
If B is on Floor 6:
- Green rangoli is on Floor 2.
- One person between Green (Floor 2) and Blue, so Blue rangoli is on Floor 4.
- E lives below Blue (Floor 4) but not just below (so E is on Floor 2 or 1). Since E does not make green rangoli, E cannot be on Floor 2. Therefore, E lives on Floor 1.
- Since 0 persons live below E (Floor 1), 0 persons live above A. Thus, A lives on Floor 6, which contradicts that B lives on Floor 6.
Therefore, B must live on Floor 2:
- Green rangoli is on Floor 6 (3 persons between B on Floor 2 and Green on Floor 6).
- One person between Green (Floor 6) and Blue means Blue rangoli is on Floor 4.
- E lives below Blue (Floor 4) but not just below (Floor 3). Thus, E lives on Floor 1.
- Since 0 persons live below E (Floor 1), 0 persons live above A. Thus, A lives on Floor 6 (made Green rangoli).
- Now we have B on Floor 2 and E on Floor 1.
- C lives above F. The remaining floors for C, D, F are Floors 5, 4, 3.
- D lives above Purple, but not just above. Since D is above Purple, Purple must be on Floor 3 or lower. B (Floor 2) does not make Purple, so F on Floor 3 makes Purple rangoli, D is on Floor 5, and C is on Floor 4.
- Thus, the person arrangement from Floor 6 to 1 is: Floor 6 (A), Floor 5 (D), Floor 4 (C), Floor 3 (F), Floor 2 (B), Floor 1 (E).
Now looking at the floor positions of E and F:
- E lives on Floor 1.
- F lives on Floor 3.
The number of persons living between E (Floor 1) and F (Floor 3) is 1 (which is B on Floor 2).
Hence, there is One person living between E and F.
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