Interesting brainteasers you can dumbfound your friends when u meet up

Yooohoo, alright first thing first I'm not the one that come up with the questions and solutions. I'm not totally sure where some of the questions originate from so if you know the sources kindly let me know. I'll love to give credit to them. Also, you are very welcomed and encouraged to post your solutions and more questions here so our fellow netizens can discuss and share ideas on the respective questions.

5. What is the largest possible number you can write by using just 2 numbers, without any mathematical symbols? courtesy of www.justriddlesandmore.com

4. Ok you have 12 bags of coins. The number of coins in the bag are random and one of them contain a bagful of fake coins. The real coin weighs 12grams while the fake one weighs 11. So how many times do u need to use a weighing scale to determine which is the bag with the fakos?


3. Another gold coin question. This time u have 8 bags. One of them are fake (yea -_-) The fake ones this time weighs heavier. Try to figure out how do you manage this time using a balancing scale. You can use the scale 3 times. No more.


2. There are 5 greedy pirates who found a chest of 1000 gold bars. These five pirates are ranked by seniority, the most senior one being pirate #5 and so on. And so, being the most senior pirate, he can propose a plan to split the gold bars among them. Of course he can give more to himself and the rest smaller amount. But if more than half of the pirates refuses the plan, he will be killed and the proposing starts all over again with the next most senior guy. So how mr #5 go about getting as much gold for himself and is still alive to enjoy it?

Assume that the pirates are all logically sound and smart fellows, can someone propose an explanation why mr #5 can get alot of gold bars?



1. ACCORDING TO WIKIPEDIA
THE HARDEST LOGIC PUZZLE EVER

“

Three gods A, B, and C are called, in some order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter. Your task is to determine the identities of A, B, and C by asking three yes-no questions; each question must be put to exactly one god. The gods understand English, but will answer all questions in their own language, in which the words for yes and no are 'da' and 'ja', in some order. You do not know which word means which.

”

Boolos provides the following clarifications:

“

It could be that some god gets asked more than one question (and hence that some god is not asked any question at all). What the second question is, and to which god it is put, may depend on the answer to the first question. (And of course similarly for the third question.) Whether Random speaks truly or not should be thought of as depending on the flip of a coin hidden in his brain: if the coin comes down heads, he speaks truly; if tails, falsely. Random will answer 'da' or 'ja' when asked any yes-no question.

Courtesy of Wikipedia.org. For more info on this, click here. (warning: solutions are there too.)