Six persons P₁, P₂, P₃, P₄, P₅ and P₆ live on each floor in a building having six floors numbered from bottom to top. P₃ lives in a floor immediately below the floor of P₁. P₅ lives in the floor immediately below the floor of P₄. Three people live between the floors of P₆ and P₅. P₂ does not live in the top most floor. P₁ does not show interest to live on any floor below the floor of P₄. P₅ and P₆ live on the even numbered floors. Then the persons P₁ and P2 respectively live in the floors.

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  1. 5 & 1
  2. 3 & 5
  3. 2 & 5
  4. 4 & 5

Answer (Detailed Solution Below)

Option 1 : 5 & 1
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Detailed Solution

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Given: Six persons P₁, P₂, P₃, P₄, P₅ and P₆ live on each floor in a building having six floors numbered from bottom to top.

1) Three people live between the floors of P₆ and P₅.

2) P₅ lives in the floor immediately below the floor of P₄.

3) P₅ and P₆ live on the even numbered floors.

Floor Person
6 P₆
5  
4  
3 P₄
2 P₅
1  

4) P₃ lives in a floor immediately below the floor of P₁.

5) P₂ does not live in the top most floor. 

Floor Person
6 P₆
5 P₁
4 P₃
3 P₄
2 P₅
1 P₂

Thus, P₁ and P2 live on the floors 5 and 1 respectively.

Hence, "Option 1" is the correct answer.

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