5 pirates are parting ways afterfinding 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.
Inside me the adventurous find
Quests and treasures of every kind.
Trolls, goblins, orcs, and more, await
Within my closed walls for
All those that wish to visit me.
Your hands are the key
To secrets untold,
And your mind will unlock the door.
What am I?
8 Meters
If we look at the green bar we see that its real height is 2/3 of its shadow. So that means we need to find 2 shadows length for the red bar, the uninterruped part and the one on the wall. Since we now know the formula for the floor shadow - real height is 2/3 of it - meaning the part that makes that shadow is 4 meters long. Then we have to add the part on the wall which is straight up, it has no formula so we just add those 4 meters on the wall to the 4 meters we got from multiplying 2/3 by 6 meters and we have 4 meters + 4 meters = 8 meterss
A man has three daughters. A second, intelligent man, asked him the ages of his daughters. The first man told him that the product of their ages (them all multiplied together,) was 36. After thinking the second man was unable to find the answer and asked for another clue. The first man replies the sum of their ages is equal to his house door number. Still the second man was unable to answer and asked for another clue. The first man told him that his youngest daughter had blue eyes, and suddenly second man gave the correct answer. What were the ages of the first man's 3 children?
Everything the 2 men say here is a clue:
3 daughters, product of their ages is 36, then he gives him an estimate that the second person knows but we do not (the house door number), when the second man needs one more piece of information, the first man tells him the youngest has blue eyes.
So to solve, you want to write down all the 3 numbers whose product is 36, then to find the last hint, knowing that there IS a youngest child...
The ages are 6, 6 and 1.
to solve, you want to write down all the 3 numbers whose product is 36.
1, 1, 36
1, 3, 12
1, 4, 9
1, 2, 18
1, 6, 6
2, 2, 9
2, 3, 6
3, 3, 4
Here's the hardest part, the fact that the doorbell clue was not enough to solve the puzzle means that if we add up each of these options, we get at least two results that are the same, and we need more information to decide which one.
These are
13: 1, 6, 6
13: 2, 2, 9
Then to find the last hint, knowing that there IS a youngest child, means the smallest child doesn't have another sibling in the same age, meaning that 2,2,9 doesn't work, and we are left with 1, 6 and 6.
You will find me in the mountains, and you'll find me in a creek.
I have no mouth, but I speak every tongue.
I have no ears, yet I answer every cry, and I always have the final word.
What am I?
Subscribe and REMOVE ALL ADS
LOVE our articles but HATE our ads? For only $3.89 per month, enjoy a seamless, ad-free experience that lets you focus on what matters most — enjoying all of our content, uninterrupted. 🔒 100% Secure Payment 📅 Cancel Anytime, No Strings Attached Unlock a cleaner, faster browsing experience today and gain the freedom to navigate without visual clutter.
Ready for a Ad-Free experience? Upgrade now for just $3.89/month!
To enable your Ad-Free Subscription, please fill the fields below
Thank you for your subscription!
Your subscription was successful, now you can enjoy an ad-free experience!! Note: To make sure you get no ads, please make sure to log in to your account. If you are logged in already, then refresh the page. The subscription can be cancelled at any time.