Correct Address Identified !
How pointed towards the wrong one?
Since Mr. House was able to run at one house after answers of passer-by, he must have got clear clues from that.
3. Is it square ?
First thing is sure that, the number must not be a non-square otherwise Mr.House wouldn't be sure as there are plenty of non-square numbers between 1 to 50. So it must be either 4,9,16,25,36,49. (1 is omitted for a reason)
-----------------------------------------------------------------------------------------
1. In which block is it?
Two possible answers here & 2 possible conclusions.
Block 1 : 4,9,16
Block 2 : 25,36,49
------------------------------------------------------------------------------------------
2. Is the number even ?
Now had passer-by answered Block 1 in 1st question & odd now then Mr. House would have come to know one exact number 9 (that's why 1 omitted here).
Or had he answered Block 2 in 1st question & even now then also Mr. House would have 1 number i.e. 36.
So in both cases, Mr. House would have got 1 fixed number with no point in asking extra question.
That means the passer-by must have told following answers & their possible conclusions are-
Block 1 : Even : Square : 4,16
Block 2 : Odd : Square : 25,49
