### 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)

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**1. In which block is it?**

Two possible answers here & 2 possible conclusions.

**Block 1 : 4,9,16**

**Block 2 : 25,36,49**

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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**

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Now, this made

**Mr. House unsure**about exact number & hence he asks further if 4 is part of that number or not? Now let's take a look at possible combinations & results.

**1. YES : Block 1 : Even : Square : 4**

**2. NO : Block 1 : Even : Square : 16**

**3. YES : Block 2 : Odd : Square : 49**

**4. NO : Block 2 : Odd : Square : 25**

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Now depending on 4 answers, Mr. House must have run to either

**4, 16 , 49 or 25.**Let's remind that all these were wrong & Mr. House need to go back & apply clues with passer-by's answers inverted. If we assume Mr. House visited 4 but with wrong clues. If clues were correct then,

**1. NO : Block 2 : Odd : Non-Square : 21,23,27,29,31,33,35,37,39**

Like away, for other cases,

**2. YES : Block 2 : Odd : Non-Square : 41,43,44,45,47**

**3. NO : Block 1 : Even : Non-Square : 2,6,8,10,12,16,18**

**4. YES : Block 1 : Even : Non-Square : 14 only (4 is square of 2).**

Now in first attempt Mr.House visited wrong house but in second found the correct one. Had he visited

**4,16,49**then he would have

**more than 1 number**after applying inverted answers by passer-by's). Since he was sure with the correct number at the end, he must have visited

**25**in first attempt & after applying modified clues he visited

**14.**

**That means Mr. Street leaves in 14!**