Three friends check into a motel for the night and the clerk tells them the bill is $30, payable in advance. So, they each pay the clerk $10 and go to their room. A few minutes later, the clerk realizes he has made an error and overcharged the trio by $5. He asks the bellhop to return $5 to the 3 friends who had just checked in. The bellhop sees this as an opportunity to make $2 as he reasons that the three friends would have a tough time dividing $5 evenly among them; so he decides to tell them that the clerk made a mistake of only $3, giving a dollar back to each of the friends. He pockets the leftover $2 and goes home for the day! Now, each of the three friends gets a dollar back, thus they each paid $9 for the room which is a total of $27 for the night. We know the bellhop pocketed $2 and adding that to the $27, you get $29, not $30 which was originally spent. Where did the other dollar go????
I walk into a room with no exit. The door has locked behind me; there is no way out. So I simply fall through the floor, land on the ceiling and continue on my way.
What video game am I playing?[footnote]No cheats or hacks or anything like that.[/footnote]
I walk into a room with no exit. The door has locked behind me; there is no way out. So I simply fall through the floor, land on the ceiling and continue on my way.
What video game am I playing?[footnote]No cheats or hacks or anything like that.[/footnote]
You have 11 identical marbles and a 12th that is of a different weight than the rest (could be either lighter or heavier). You have a balance scale which you can use no more than 3 times to determine which of the 12 marbles is the odd one out.
Remember, the odd marble out can be either heavier or lighter than the rest, and you must use the scale to figure it out.
Hey guys. Been following this thread for a few weeks and thought I'd try my hand at one of the solutions:
Divide the 12 marbles into four groups of 3 (i.e. Groups 1, 2, 3, and 4)
Take two of the groups of 3 (e.g. 1 and 2) and weigh them against each other
Replace one of the groups (2) with another (3)
-- If 1 and 2 weighed equally, but 1 and 3 did not, then Group 3 contains the "odd" marble
-- If 1 and 2 did not weigh equally, but 1 and 3 did, then Group 2 " "
-- If 1 and 2 did not weigh equally, and 1 and 3 did not weigh equally, then Group 1 " "
-- If 1, 2 and 3 all weighed equally, then Group 4 " "
Take two marbles from whichever group contains the "odd" marble and weigh them against each other
-- If they weigh equally, the third marble is the "odd" marble
-- If they do not weigh equally, ????
And with that, I'm going to go ahead and call this one impossible. Any way I can figure it, you need at least 4 weighings to be able to conclusively get the answer. But feel free to either springboard off this or show me a better way, because now I'm really curious
EDIT: Just looked up the answer and though I'd weigh in (pun intended): the answer I found (which I'll link to) is a good bit more complicated than what I came up with, but definitely possible; props to Tilted_Logic on a real brain-cruncher
Sorry for the slow reply. Very good attempt darkapothem2000, I definitely had some real trouble with the marble conundrum when I first came across it too; I love how the order of solving it changes depending on your luck during the weighing.
darkapothem2000 said:
Just looked up the answer and though I'd weigh in (pun intended): the answer I found (which I'll link to) is a good bit more complicated than what I came up with, but definitely possible
At the risk of violating decorum (since I didn't actually get it right), I'll go ahead and share one:
I live in a room with no walls or windows and only one exit
No guards or shackles, only a single chain
I've spent my entire life in this prison; yet when my time is done and I am released, I will not have lost a single day of my life
At the risk of violating decorum (since I didn't actually get it right), I'll go ahead and share one:
I live in a room with no walls or windows and only one exit
No guards or shackles, only a single chain
I've spent my entire life in this prison; yet when my time is done and I am released, I will not have lost a single day of my life
At the risk of violating decorum (since I didn't actually get it right), I'll go ahead and share one:
I live in a room with no walls or windows and only one exit
No guards or shackles, only a single chain
I've spent my entire life in this prison; yet when my time is done and I am released, I will not have lost a single day of my life
I think Spoon got it. Though I'd say a pocket watch to be more specific.
EDIT: The above was meant to be an elaboration on Spoon's response, and not a response of my own. But just in case it counts as a second attempt, I'll put my guess in a spoiler warning
I live in a room with no walls or windows and only one exit
No guards or shackles, only a single chain
I've spent my entire life in this prison; yet when my time is done and I am released, I will not have lost a single day of my life
I live in a room with no walls or windows and only one exit
No guards or shackles, only a single chain
I've spent my entire life in this prison; yet when my time is done and I am released, I will not have lost a single day of my life
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