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2018 ZIML JV Problem 6

 
 
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2018 ZIML JV Problem 6
由for November Competition Using other account發表於2018年 10月 10日(Wed) 19:41
 
The problem is:

A convex polygon with nn sides has interior angles of

30∘,60∘,90∘,…,n⋅30∘.30∘,60∘,90∘,…,n⋅30∘.
What is the sum of all possible nn?

The solution says that the answer is 3+8=11. However, the answer should actually be 3, because if n=8 then the polygon would not be convex.
 
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Re: 2018 ZIML JV Problem 6
由Lensmire John發表於2018年 10月 10日(Wed) 20:16
 

Thanks for the reply Andrew.

I'll double check the wording of everything tomorrow, but I think you and another poster both noticed this important point.

We'll make sure everything (including any updates to the leaders), get's taken care of right away tomorrow morning.

 
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Re: 2018 ZIML JV Problem 6
由Lensmire John發表於2018年 10月 11日(Thu) 10:04
 

I'll reply the same here as in the other thread.

I double checked the wording this morning and we have updated the problem to have $3$ as the correct answer. The winners list has been updated to reflect this change. (This update did not remove any winners, only added some winners.)

Thank you for your feedback and we hope to see you again for the November competition!

 
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