The next number should be 13112221. Why?
Because each of these numbers describes the previous number. Starting with 1, the 2nd line is 11 (one one), then the 3rd line describes 11 as 21(two ones). Then the 4th line is 1211 which describes (one 2, one 1). And so forth...
You're on a ski lift, going from the bottom of the mountain to the top. How many chairs from the other side will you pass by?
A few choices:
1. Half of them
2. 2/3 of them
3. All of them (but yours)
4. 3/4 of them
(The 'Google Riddles' are interview questions those who wish to get hired were asked).
The answer is C - all of them but yours.
The chairs are in a giant loop, with several stopping places on the way to the top, and you will see all the chairs probably more than once before you get up there.
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.
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.
A hundred stones are placed, in a straight line, a yard distant from each other. How many yards must a person walk, who undertakes to pick them up, and place them in a basket stationed one yard from the first stone?
10,100 yards.
To collect the stones, the person must walk 1 yard to pick up the first stone, and then they had to double the distance each time - 2 yards, 4 yards, 8 yards etc.
To find the answer we multiply 202 by 50 = 10,100 yards.
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