# Problems

## Logic puzzles, riddles, & maths problems

##### Problem #064 β infinite mathematicians with hats

How can an infinite number of mathematicians figure out their own hat colours?

##### Problem #063 β arbitrarily many primes in arbitrarily big intervals

Can you prove that there are arbitrarily many primes in arbitrarily big intervals?

##### Problem #062 β sliding coins

Can you align all of the coins on the right edge of the board?

##### Problem #061 β flower garden

Three mathematicians discuss a beautiful flower garden and the coloured flowers within.

##### Problem #060 β realtor commissions

Two realtors discuss who's netting the award for highest average commission, but it isn't clear who the winner is...

##### Problem #059 β marching pegs

How can you swap the coloured pegs if they can only march forward?

##### Problem #055 β horse racing

25 horses racing, and you have to find out the fastest ones!

##### Problem #053 β weighing the odd one out

Can you find the fake ball by weighing it?

##### Problem #048 β trick or treat

Can you help these kids trick or treat their entire neighbourhood in this Halloween special?

##### Problem #047 β surgery gloves

How can two doctors operate two patients with only two pairs of latex gloves?!

##### Problem #045 β 1, 2, 3

Figure out the number I'm thinking of with a single question!

##### Problem #044 β send more money

Can you solve this simple-looking arithmetic challenge?

##### Problem #043 β Rubik's cube scrambling

If I scramble a Rubik's cube for long enough, will it solve itself?

##### Problem #042 β mine captcha

Can you solve this little minesweeper puzzle?

##### Problem #041 β canyon crossing

It's night time and 4 friends need to cross a fragile bridge, but they only have one torch. What's the order in which they should cross?

##### Problem #040 β the dozen puzzle

Three friends are given three different numbers that add up to a dozen. Can you figure out everyone's numbers?

##### Problem #039 β rope timer

You have two magical ropes that you can set on fire and you need to count 45 minutes. How do you do it?

##### Problem #034 β one question to happiness

Two doors, one gives you eternal happiness and the other eternal sadness. How can you pick the correct one?

##### Problem #017 β shuffle me around

There's 100 drawers and 100 shuffled balls. Can you find the one I choose?