As you probably know by now I host a daily Quiz where you can earn at least 5 STEEM token.
Here is todays quiz:
Donald Duck once again went to his uncle Scrooge McDuck and asked for a job. The old man decided to give Donald a question. If Donald could give him the correct answer he would be employed. Otherwise he would get once more kicked out.
Scrooge McDuck: "There you can see a safe. In this safe i have many bags full of gold coins. In every bag there is the exact same amount of gold coins. There is a total of 150 to 200 coins. There is more than one bag. And in every bag there is more than one coin. If i told you how many coins there are your would be able to tell me the exact number of bags and coins per bag. But you need to tell me. How many coins are in every bag? How many bags are in there?"
After a while Donald had found the correct answer! How did he know? Did he just guess?
Quiz #8 ends exactly at 7pm GMT on the eight of July.
Rules:
- You may only submit exactly one answer per day.
- In order for your answer to count you have to have upvoted the post.
- My original answer counts (I make a picture when creating the post.)
- In case of a draw, there will be a lottery. Every right answer receives one lottery ticket. If you resteemed the quiz you get an extra one. And if you follow me you even get a third one.
Good luck guys :)
P.S.: If my daily quiz gains more attention I will raise the amount of Steem given out every day. So if you are good in solving problems like this, it might be in your best interest to resteem this topic.
This post received a 1.6% upvote from @randowhale thanks to @theaustrianguy! For more information, click here!
13 bags each with 13 coins
This one is really easy. Anyone that's a real Disney fan should remember episode 4 of season 11 of Mickeys playhouse when Donald duck, upon being invited to a tea party inside of Mickeys playhouse reveals that he gained the powers of clairvoyance after having found an old worn out leather book behind Pluto's dog house. Donald said "Upon opening the book I peered upon the seven gates of hell. I saw the death of everyone I'd ever known. Now I just... know."
So the answer is No. Donald didn't guess. He used his power of clairvoyance.
Interesting answer :) Good luck!
Hah. Luck is for people who don't know Disney trivia. But thank you! I'm looking forward to the real answer, I'm following you for the update.
So, the quiz question is, "How did he know? Did he just guess?"
And the answer to "did he just guess" is "no". the answer to "how did he know?" is that he opened all the bags and counted them.
He didn't need to, though, because unca scrooge had given him the information he needed to say exactly. there were 13 bags with 13 coins each. Because he knew that if he knew how many coins there were total, he'd know the other information, and if he knew there were 169 coins, in order for each bag to have the same number of coins, they'd all have to have 13 coins, and there'd have to be 13 bags of them. 11^2 is too small and 17^2 is too big
dang u r always faster than me :(
btw check out my post on the answer of the math contest :)
13bags with 13 coins
+1 for 13 bags with 13 coins.
13 bags with 13 coins in each bag
13 bag 13 coin
13 bags with 13 coins. Because there is only1 prime number square lies between 150 to 120 i.e. 169.
13 bags with 13 coins each
Did he guess? - No
How did he know? - Since Scrooge told him that if he told him the number of coins, he could tell him how many bags/coins per bag there were, we know it's a square (because otherwise you could flip the bags and coins per bag and not know for sure). It also needs to be a prime number so that the only factors are 1, the unsquared factor and the squared factor. The only number that fits is 169 (factors 1, 13, and 169). Both 1 and 169 get ruled out by Scrooge's other rules leaving 13x13.
13 bags with 13 coins.
Donald didn't have to guess at all. The fact that Scrooge said that Donald would be able to figure out the exact number of bags and coins per bag implies that the total number of coins can only be the perfect square of a prime number. The range of 150-200 means that the only possible number is 169 (132). Thus, Donald knew there were 13 bags and 13 coins per bag.