### Brain Teasers

# Guess My House

Logic
Logic puzzles require you to think. You will have to be logical in your reasoning.

Mac's new house number has three digits. When she challenged her friends to guess it, they tried: 135, 780, 785, and 732.

"That's amazing," Mac said. "You've each guessed exactly one digit correctly and in its right place!"

What is Mac's house number?

"That's amazing," Mac said. "You've each guessed exactly one digit correctly and in its right place!"

What is Mac's house number?

### Hint

The fact that three guesses began with a 7 will give you a good start.### Answer

182Solution:

The first digit must be 1 or 7. It can't be 7 as only one digit is correct in each guess. So it's 1.

The other digits in guess #1 (i.e. 3 and 5) must be incorrect. Therefore, from guess #3, the second digit is 8.

Guess #4 has a correct digit which must be its third - 2.

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## Comments

Excellent! It made me think very hard!

Not extraordinarily difficult, but very engaging due to the casual, fun narrative!

Very well done, creative!

Thanks. It's based on the old "Mastermind" logic game - which I stopped playing in early married life when my wife always beat me! It's fun to write a little storyline to go with the logic.

As my name goes, I'm quite confused. Do the second and third guess share the second digit? or else, what prevents the last digit from being from the 2nd guess instead of the last?

Hi ImConfused! Yes, the second and third guesses both had the same digit correct. That would have to be the case, as there are only three digits and four people guessing! Hope you enjoyed it, though!

Cool, I liked it!

GREAT PUZZLE! Elegant! And a lot of fun.

Thanks!

Thanks!

Though easy, very enjoyable.

How can four people each get only one digit right of a three-digit number?

I thought it was enjoyable, although very easy.

At least two of them must have guessed the same digit correctly ... which is part of the logic required to solve it!

Mind...exploding...

Not bad, but a little too easy. I just took a random guess based on the clues, with the first possibility for the hundreds, the next possibility for the tens, and the only remaining possibility for the ones. And it checked!

Fairly easy - but it is nice having a little brain stimulation, but also having the satisfaction of solving fairly quickly! I enjoyed your teaser!

never was any good at this kind of teaser.

Great teaser even though it was a little on the easy side. The 3 sevens made it easy to get the first number. After that it was a piece of cake.

great job! at first, it seemed impossible, but after reading it a couple times I got it! (I did write it down though )

Here's how I found out (and it probably should be the explanation in the answer, as it may be unclear):

There are four guesses, which means that one of the digits was repeated twice.

The first digit is 1 since 7 was repeated three times, eliminating the first guess.

The second digit is 8 since it was repeated twice in the second and third guesses.

By process of elimination, 2 is the third digit, which is in the fourth guess.

There are four guesses, which means that one of the digits was repeated twice.

The first digit is 1 since 7 was repeated three times, eliminating the first guess.

The second digit is 8 since it was repeated twice in the second and third guesses.

By process of elimination, 2 is the third digit, which is in the fourth guess.

I got it right! It wasn't very difficult, but still fun

Great one!

Have not seen this one before! No wonder I like it, even if it was a bit easy.

Thanks.

Thanks.

easy, fun

Mac is a she?

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