Discussion Forum

2018 ZIML JV Problem 6

 
 
for November CompetitionUsing other account的头像
2018 ZIML JV Problem 6
for November CompetitionUsing other account 发表于 2018年10月10日 Wednesday 19:41
 
The problem is:

A convex polygon with nn sides has interior angles of

30,60,90,,n30.30∘,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.
 
LensmireJohn的头像
Re: 2018 ZIML JV Problem 6
LensmireJohn 发表于 2018年10月10日 Wednesday 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.

LensmireJohn的头像
Re: 2018 ZIML JV Problem 6
LensmireJohn 发表于 2018年10月11日 Thursday 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!