The Mathsbombe Competition

2024 edition. From the people behind the Alan Turing Cryptography Competition.
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Problem 4

Given 100 points on the plane, construct the perpendicular bisector of each pair, and count all the points on the plane in which two or more (non-parallel) bisectors intersect. At most how many points could you have counted?

To deter guessing without thinking, we ask that you also solve the following simple arithmetic problem before checking your answer:

What is 6 + 4 - 6?  

This problem was first solved on Wed 7th February at 7:11:46pm
Mathsbombe Competition 2024 is organised by the The Department of Mathematics at The University of Manchester.
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