Solutions to Guards and Clock Problem

Solutions to na couple of problems and a new problem for you to get your teeth into.

INTRODUCTION

A couple of aeons ago in the post I put up immediately before setting off for Marxism 2018 I presented two problems from brilliant.org, one easy and one hard. Now at long last I offer solutions to them.

THE GUARDS PROBLEM

Here is the answer:

Guards answer

Now here is an official solution, posted by Siva Budaraju:

Guards solution

Yes, Anna, you were right about this one, as you are about many things. 

THE CLOCK PROBLEM

For this one I shall present the confirmation that my answer was correct, my sneaky way of solving the problem and then an official solution.

Clock answer

I got the solution by realising that if there was an arrangement of the hands that enabled this to happen it would not be unique – as with problems involving two hands on a clockface there would be a number of possibilities, which would mean that finding such an arrangement would not be very difficult, and this was supposed to be a dificult problem, which led me to the conclusion that there could not be a time when the three hands divided the clockface into equal segments. Now here are two official solutions:

clock solution

A NEW PROBLEM

I finish by sharing another problem with you that I enjoyed solving:

3 and 2

 

 

 

Author: Thomas

I am branch secretary of NAS West Norfolk and #actuallyautistic (diagnosed 10 years ago at the comparatively advanced age of 31). I am a keen photographer, so that most of my own posts contain photos. I am a keen cricket fan and often write about that subject. I also focus a lot on politics and on nature.

3 thoughts on “Solutions to Guards and Clock Problem”

  1. Thanks! I’m glad I was right about that one, but the other two problems I understand very little of. Visual problems like the first one is easy for me sometimes, but then other two containing maths, then I’m lost 🙂

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