Mind Boggling Math Puzzles: Millennium Prize Problems

Quicker Maths offers regular tips and tricks for zooming through some arithmetic problems, as well as giving us fascinating puzzles that offer some solid food for mathematical thought. But what if you were given the opportunity to earn one million dollars to solve one math problem? That’s exactly the deal that the Clay Mathematics Institute in Cambridge Massachusetts has offered. And pretty much anyone can enter to win.

The Millennium Problems, as they are known, were originally seven math problems that had existed for several years and remained unsolved. Most recently, one problem–the Poincare Conjecture–was successfully solved by Dr. Grigory Perelman of St. Petersburg, Russia. Perelman worked on and solved the problem in 2002 and 2003, and was thereafter awarded the CMI one million dollar prize in 2010, although he ended up turning down the prize money. Read More

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Difficult Puzzle

Difficult Puzzle- This puzzle is really difficult and very analytical but the good thing about it is it can have multiple ways of reaching at the correct answer. So if like solving very difficult puzzles, try this one!!

Dilemma of a Trainee Technician

A 120 wire cable has been laid firmly underground between two telephone exchanges located 10km apart.
Unfortunately after the cable was laid it was discovered to be the wrong type, the problem is the individual wires are not labeled. There is no visual way of knowing which wire is which and thus connections at either end is not immediately possible.
You are a trainee technician and your boss has asked you to identify and label the wires at both ends without ripping it all up. You have no transport and only a battery and light bulb to test continuity. You do have tape and pen for labeling the wires.
What is the shortest distance in kilometers you will need to walk to correctly identify and label each wire?

Delima
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