If you pile up coins one on top of another until they get as high as the Empire State Building - would you be able to fit them all into one average sized room?
(The 'Google Riddles' are interview questions those who wish to get hired were asked).
Yes, you could.
How do we know this? If the Empire State Building is about 100 levels tall, and each level is about an average room in height, that means we can divide the giant pile into 100 piles of one level each. Would 100 piles of coins fit in a room? Of course it will, with lots of room for more.
A new medical building containing 100 offices had just been completed. Mark was hired to paint the numbers 1 to 100 on the doors. How many times will Mark have to paint the number nine?
A nonstop train leaves Moscow for Leningrad at 60 mph. Another nonstop train leaves Leningrad for Moscow at 40 mph. How far apart are the trains 1 hour before they pass each other?
A fireman is running to get a net under a lady who looks like she might jump off the balcony of her 20 story apartment building. There is nothing below her except a 20 story fall. The fireman is still 100 yards away when she falls and can't nearly get there in time. The woman is not hurt more than a bruise. How is that possible?
5 pirates are parting ways after finding a treasure of 100 pieces of gold. The pirates decide to split it based on a vote. Each pirate, from oldest to youngest, gets to propose a plan on how to split the gold.
If at least 50 percent of the other remaining pirates agree on the plan, that is how they will split the gold. If less than 50 percent of the pirates agree, the pirate who came up with the plan will be thrown overboard. Each pirate is smart, greedy, and wants to throw as many others overboard as possible without reducing the amount of gold they get.
What plan can the first (oldest) pirate propose to live and get as much gold as possible?
He can propose a plan that he gets 98 pieces of gold, the 3rd pirate gets 1 piece, and the 5th pirate gets 1 as well.
If there were just 2 pirates the younger pirate would definitely deny the plan so he could get all of the gold.
If there were 3 pirates the first pirate can offer the second pirate 1 piece of gold and take the rest himself because the second pirate wouldn't get anything if he has to propose a plan himself.
If there were 4 pirates the first pirate could take 99 for himself and offer 1 to the youngest pirate. They would both agree. If the youngest disagrees then he won't get any gold in the next plan.
So when there are 5 pirates it is in the interest of the 3rd and 5th pirate to accept 1 piece, because if they don't they won't get anything in the next plan.
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