Tuesday, March 7, 2017

mathematics - The Security to the Party [Part 9]


A party is being held at a local mansion. The host is very rich and his success is because of one thing ~ his famous recipe for Spaghetti!


The only guests that may attend are people the host knows and trusts, whom he gave the password to enter to.


Here's where you come in. You and a friend are trying to steal this recipe. You sneak by and listen to the passwords.


The first guest arrives. The security says "6", and the guest replies "6".


The second guest arrives. The security says "5", the guest replies "1".


The next guest arrives. The security says "10", the guest replies "2".


The next guest arrives. The security says "7", the guest replies "5".


The next guest arrives. The security says "8", the guest replies "4".


You walk up to security and get "3", what is the correct response?




Answer



Putting these in a table makes a very simple possible pattern much more apparent, where the first column gives the questions, the middle column gives the known answers, and the last column is filled in based on the pattern:



1 | || 5
2 | || 4
3 | || 3
4 | || 2
5 | 1 || 1
6 | 6 || 6
7 | 5 || 5

8 | 4 || 4
9 | || 3
10 | 2 || 2

so my answer is 3.


As with all these questions, it may or may not be the answer you're looking for, but it works.


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