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Category: | Logic |

Submitted By: | dalfamnest |

Fun: | (2.93) |

Difficulty: | (1.34) |

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?

Show Hint | Show Answer |

Posted by Marple | 09/03/12 |

Excellent! It made me think very hard! :D | |

Posted by kidkilowatt | 09/05/12 |

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

Posted by BeanSC | 09/07/12 |

Very well done, creative! :D | |

Posted by dalfamnest | 09/07/12 |

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

Posted by ImConfused | 09/14/12 |

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? | |

Posted by dalfamnest | 09/15/12 |

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! :D Hope you enjoyed it, though! | |

Posted by PYTHON | 10/03/12 |

Cool, I liked it! | |

Posted by Jeppydog | 11/03/12 |

GREAT PUZZLE! Elegant! And a lot of fun. Thanks! | |

Posted by HABS2933 | 11/03/12 |

Though easy, very enjoyable. | |

Posted by Jekyll | 11/03/12 |

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

Posted by cutebug | 11/03/12 |

I thought it was enjoyable, although very easy. :D :D | |

Posted by dalfamnest | 11/03/12 |

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

Posted by corcon | 11/03/12 |

Mind...exploding... :o | |

Posted by FatHead | 11/03/12 |

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! :lol: | |

Posted by thecatladycac | 11/03/12 |

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

Posted by iggy39 | 11/03/12 |

never was any good at this kind of teaser. :-? :roll: :( :o | |

Posted by auntiesis | 11/04/12 |

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. :D :D | |

Posted by trewq | 02/21/13 |

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

Posted by DarthXenon | 02/26/13 |

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. | |

Posted by Tpopfunstar | 07/01/13 |

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

Posted by Zykezex | 01/05/14 |

Great one! :D |

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