A, B, C, D, E and F live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it number 2, and so on till the topmost floor is numbered 6.

B lives on an even numbered floor but not on floor number 4. Only two people live between B and E. D lives immediately below A. A lives on an even numbered floor. Neither D nor C live on the lowermost floor. Who lives on floor number 4?

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  1. F
  2. A
  3. C
  4. E

Answer (Detailed Solution Below)

Option 2 : A
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Detailed Solution

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From the given information:

Step 1: B lives on an even numbered floor but not on floor number 4. Only two people live between B and E.
                   qImage16073
We place B and E such that there is 2 spaces between them and B sits on an even number except 4 so we choose 2 because when we will have to place A and D the arrangement will be incorrect.

Step 2: D lives immediately below A. A lives on an even numbered floor.
                   
qImage16074We place A on 4 and D below A because we cannot place A at 6 as there is no space left for D.

Step 3: Neither D nor C live on the lowermost floor.
                   qImage16075Now we place C at 6 because it cannot be placed at 1 and then we place F at the only spot left.

From the arrangement we can see that A lives on floor 4.

Hence the correct answer is option 2.

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