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 .
Which of the following colour does D use?
Correct Answer :
Yellow
Solution :
The correct option is Yellow.
Let us solve the puzzle step-by-step to find out which colour rangoli D makes.
Step 1: Determine the positions of B and the Green rangoli maker.
There are 6 floors numbered 1 to 6 from bottom to top.
B lives on an even-numbered floor (Floor 2, 4, or 6).
Three persons live between B and the one who made rangoli in green colour.
Case 1: If B lives on Floor 6, then the one who made green rangoli lives on Floor 2.
Case 2: If B lives on Floor 2, then the one who made green rangoli lives on Floor 6.
Case 3: If B lives on Floor 4, then green would be on Floor 0 or Floor 8, which is impossible since there are only 6 floors.
Step 2: Determine the position of Blue rangoli maker and E.
One person lives between Green and Blue.
In Case 1 (Green on Floor 2): Blue can be on Floor 4.
In Case 2 (Green on Floor 6): Blue can be on Floor 4.
E lives below Blue, but not just below. E does not make purple or green rangoli, nor violet.
If Blue is on Floor 4, E cannot be on Floor 3 (just below). So E must be on Floor 1 or Floor 2.
Since Green is on Floor 2 in Case 1 and E does not make green rangoli, E cannot be on Floor 2 in Case 1. Thus, E must be on Floor 1 in Case 1.
In Case 2, Green is on Floor 6, Blue is on Floor 4. E can be on Floor 1 or Floor 2.
Step 3: Determine the positions of A and E.
The number of persons living below A equals the number of persons living above E.
In Case 1: E is on Floor 1 (0 persons live below E, so 5 persons live above E). Therefore, 5 persons live below A, which means A lives on Floor 6.
However, in Case 1, B is on Floor 6. But two persons cannot live on the same floor! Thus, Case 1 is eliminated.
Let us analyze Case 2:
B is on Floor 2, Green is on Floor 6, Blue is on Floor 4.
If E is on Floor 1: 5 persons live above E, so A must be on Floor 6. But Green is already on Floor 6, which is possible (A can make green rangoli).
Let us check: If E is on Floor 1 and A is on Floor 6:
Floor 6: A (Green)
Floor 5: ?
Floor 4: ? (Blue)
Floor 3: ?
Floor 2: B
Floor 1: E
Step 4: Place the remaining persons (C, D, F) and colours.
We have persons C, D, F remaining for floors 5, 4, 3.
C lives above F.
D lives above the one who made purple rangoli, but not just above.
Since D is above purple, D must be on Floor 5 or Floor 4.
If D is on Floor 5: Floor 4 is Blue, Floor 3 could be Purple.
So, D (Floor 5), C/F for Floor 4 and 3.
Since Blue is on Floor 4, if D is on Floor 5, D is above Purple (Floor 3), and not just above (Floor 4 is between them, so this condition holds!).
Therefore, D is on Floor 5.
C and F occupy Floors 4 and 3. Since C lives above F, C is on Floor 4 and F is on Floor 3.
Now we have person placements:
Floor 6: A
Floor 5: D
Floor 4: C
Floor 3: F
Floor 2: B
Floor 1: E
Now let us place the remaining colours: Yellow, Violet, Hazel, Purple.
- Floor 6 (A): Green
- Floor 4 (C): Blue
- Floor 3 (F): Purple (since D on Floor 5 is above purple, but not just above)
- B does not make Hazel or Purple rangoli.
- E does not make Violet rangoli.
- The one who made Yellow lives above the one who made Violet.
The remaining floors for Yellow, Violet, and Hazel are 5, 2, and 1.
Since Yellow lives above Violet, and E (Floor 1) does not make Violet, Violet must be on Floor 2 (B).
Then Yellow must be above Violet, so Yellow is on Floor 5 (D).
The remaining colour Hazel goes to Floor 1 (E).
Final Floor Arrangement:
Floor 6: A - Green
Floor 5: D - Yellow
Floor 4: C - Blue
Floor 3: F - Purple
Floor 2: B - Violet
Floor 1: E - Hazel
Therefore, D uses the Yellow colour for rangoli.
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