Timko
King
I think roddy had it right, he just made some mistakes when simplifying.Perfection said:Theere we go!(People kept forgetting the 2!)
Puzzle Quiz #2
- Thread starter Syterion
- Start date
RoddyVR
Veteran Board NESer
YUK, i had the method right, just didnt write it down right.
from the top part where i have 81*80*.....*72 when i copied down into my "final answer, somehow i made it two 81s which ofcourse screwed up the rest of it.
if i correct that mistake, then i get the same
3479/52177566870
that timko has.
has always been my problem with math. i'm good at the thought process, but i suck at the record keeping, always make a dumb mistake like that or change some plus to a minus or something.
good puzzle perfection. good job timko getting it right.
from the top part where i have 81*80*.....*72 when i copied down into my "final answer, somehow i made it two 81s which ofcourse screwed up the rest of it.
if i correct that mistake, then i get the same
3479/52177566870
that timko has.
has always been my problem with math. i'm good at the thought process, but i suck at the record keeping, always make a dumb mistake like that or change some plus to a minus or something.
good puzzle perfection. good job timko getting it right.
anarres
anarchist revolutionary
Well, you'd still get 90% of the marks at the uni I went to if you just made a stupid arithmetical error.
RoddyVR
Veteran Board NESer
[sorry for offtopic, but there's no puzzle to solve]
lol. i wish my math teachers in highschool felt that way. they seemed to think that:
a. getting the wrong answer means you have no clue and dont get points (even if you show work, and got it wrong cause you cant read your own writing, and thoght that plus was a seven)
b. getting the right answer without showing work means you're lazy and dont get points.
the only time that knowing the answers mattered was on tests, and if tests hadnt counted for over 75% of the final grades, i'd have had bad grades in math, which was my favorite subject.
lol. i wish my math teachers in highschool felt that way. they seemed to think that:
a. getting the wrong answer means you have no clue and dont get points (even if you show work, and got it wrong cause you cant read your own writing, and thoght that plus was a seven)
b. getting the right answer without showing work means you're lazy and dont get points.
the only time that knowing the answers mattered was on tests, and if tests hadnt counted for over 75% of the final grades, i'd have had bad grades in math, which was my favorite subject.
RoddyVR
Veteran Board NESer
well, its been over 24 hours, timko is either out or thinks i should be the one to post a puzzle, in either case......
My aunt has 4 children, two sons and two daughters.
When she gives the children their allowances (pocket money) she's too busy to hand it out to each, so she just gives it to the oldest son, and tells him to share with his siblings.
now the boys want to combine their money and spend it on the new video game, but the girls want to buy a tea set for their tea parties.
the way the sharing goes, is:
the boys split the money among themselves, then each girl can come to each boy (once) and "demand" her fair share of the money, at which point they combine his and her money and split it into two equal parts and each takes one.
so if the boys each had 10 dollars, and the girls went to one to each, they'd all have 5 dollars, then even if the girls "switched" and went to the "other" boy each they'd not get anything more cause (5+5)/2 is still 5.
hope that makes sence.
anyway, two part puzzle.
you need to give the girls advice on which order to go to the boys to get the most money out of them so they can get a better tea set.
then you need to give the boys advice on how to initialy split the money between them, so the girls get as little money as possible from them.
following assumptions:
the girls dont know how the boys split the money (or even how much there was to start with, so no "if she got more then X then do the rest this way"). they get one "system" of how to get their share and then go off to go through with it, no "if....then" conditions.
the boys basicaly know what system the girls will use, because they either overheard you telling the girls, or they figure out that its the best system for the girls.
all the siblings are fair, no cheating, hiding money or anything like that (cause their mom would get mad at em), and after the boys split the money amongst eachother, neither they nor the girls can give eachother money. so if both girls went to the older brother first, the yonger one couldnt give his money to the older one after that so that the girls wouldnt get anything from him when they asked him to share. same goes for girls, one cant go to one brother, take some of his money then give it to her sister so that she can now go to the other brother "empty handed".
man this turned way longer then it should have been. will try to simplify later if i figure out how.
EDIT: bolded actual challenge, cause it was hard to find in all the other junk.
My aunt has 4 children, two sons and two daughters.
When she gives the children their allowances (pocket money) she's too busy to hand it out to each, so she just gives it to the oldest son, and tells him to share with his siblings.
now the boys want to combine their money and spend it on the new video game, but the girls want to buy a tea set for their tea parties.
the way the sharing goes, is:
the boys split the money among themselves, then each girl can come to each boy (once) and "demand" her fair share of the money, at which point they combine his and her money and split it into two equal parts and each takes one.
so if the boys each had 10 dollars, and the girls went to one to each, they'd all have 5 dollars, then even if the girls "switched" and went to the "other" boy each they'd not get anything more cause (5+5)/2 is still 5.
hope that makes sence.
anyway, two part puzzle.
you need to give the girls advice on which order to go to the boys to get the most money out of them so they can get a better tea set.
then you need to give the boys advice on how to initialy split the money between them, so the girls get as little money as possible from them.
following assumptions:
the girls dont know how the boys split the money (or even how much there was to start with, so no "if she got more then X then do the rest this way"). they get one "system" of how to get their share and then go off to go through with it, no "if....then" conditions.
the boys basicaly know what system the girls will use, because they either overheard you telling the girls, or they figure out that its the best system for the girls.
all the siblings are fair, no cheating, hiding money or anything like that (cause their mom would get mad at em), and after the boys split the money amongst eachother, neither they nor the girls can give eachother money. so if both girls went to the older brother first, the yonger one couldnt give his money to the older one after that so that the girls wouldnt get anything from him when they asked him to share. same goes for girls, one cant go to one brother, take some of his money then give it to her sister so that she can now go to the other brother "empty handed".
man this turned way longer then it should have been. will try to simplify later if i figure out how.
EDIT: bolded actual challenge, cause it was hard to find in all the other junk.
RoddyVR
Veteran Board NESer
simplified (algebraized, lol) version.
Two Groups: B1 and B2 vs G1 and G2
The Bs have $X split between them any way they want.
G1 and G2 can each go to B1 and B2 in any order (once to each) and demand to share their money.
In what order should G1 and G2 go to B1 and B2 to get the most money out of the Bs?
How should B1 and B2 split the money initialy so that the Gs' system leaves the most money to the Bs?
Two Groups: B1 and B2 vs G1 and G2
The Bs have $X split between them any way they want.
G1 and G2 can each go to B1 and B2 in any order (once to each) and demand to share their money.
In what order should G1 and G2 go to B1 and B2 to get the most money out of the Bs?
How should B1 and B2 split the money initialy so that the Gs' system leaves the most money to the Bs?
anarres
anarchist revolutionary
Hmm. OT again, but your school sucked!
Apart from that bit about correct answer and no workings = no points. I agree with that, since memorising the formula of something and applying it isn't maths - it's engineering. Maths is usually where you take axioms, state a theorm and prove/disprove it.
Of course I am talking about uni here - I know in the states you call uni's "schools" sometimes, but if you were < 18 I can understand maths teachers being sufficiently lax in their knowledge to not give points for workings. You don't need to be an expert to be a teacher in maths for under 18's - the biggest skill is working with children that don't want to learn but are forced to.
OT Edit: One of my lecturers when he took his exam apparently answered a VERY long question in another field (fluid dynamics IIRC) in less than 5 lines using optimisation theory. Of course he got full marks, and was soon made a fellow of the college after graduation.
Apart from that bit about correct answer and no workings = no points. I agree with that, since memorising the formula of something and applying it isn't maths - it's engineering. Maths is usually where you take axioms, state a theorm and prove/disprove it.
Of course I am talking about uni here - I know in the states you call uni's "schools" sometimes, but if you were < 18 I can understand maths teachers being sufficiently lax in their knowledge to not give points for workings. You don't need to be an expert to be a teacher in maths for under 18's - the biggest skill is working with children that don't want to learn but are forced to.
OT Edit: One of my lecturers when he took his exam apparently answered a VERY long question in another field (fluid dynamics IIRC) in less than 5 lines using optimisation theory. Of course he got full marks, and was soon made a fellow of the college after graduation.
Timko
King
Well since it was my 25th Birthday on Saturday I thought I would post the 25th puzzle in this thread. (Of course I haven't counted - can you be bothered to prove me wrong?)
What colour was George Washington's favourite white horse?
Also - you are in a room with a table in the corner and on the table are 2 cylinders, about the size of relay batons. You know one of them is made of gold, and has a hollow core. The other has a thin surface of gold but has a solid core made of some less dense material. You get to keep the one you pick, so how do you decide which one is made of gold?
They are the same weight, they are the same size, and on the end of the cylinders there are caps (so you can't see which is hollow). There is nothing in the room that you can use to scratch off the surface of each.
What colour was George Washington's favourite white horse?
Also - you are in a room with a table in the corner and on the table are 2 cylinders, about the size of relay batons. You know one of them is made of gold, and has a hollow core. The other has a thin surface of gold but has a solid core made of some less dense material. You get to keep the one you pick, so how do you decide which one is made of gold?
They are the same weight, they are the same size, and on the end of the cylinders there are caps (so you can't see which is hollow). There is nothing in the room that you can use to scratch off the surface of each.
BasketCase
Username sez it all
Actually, you could scratch the gold off the cylinders with your teeth....but that wouldn't be in keeping with the spirit of the puzzle.
A more "legal" solution would be to rap each cylinder on the table and listen to find out which one was hollow.
A more "legal" solution would be to rap each cylinder on the table and listen to find out which one was hollow.
Mise
isle of lucy
You could stand on the table drop them at the same height at the same time, and the solid gold one would hit the ground first before the hollow one (cos it's denser or something). I dunno gallileo says i'm wrong, but archemedes says i'm right, so...
Oh, and Happy birtday! (do i get extra brownie points for saying that?)
Oh, and Happy birtday! (do i get extra brownie points for saying that?)
Perfection
The Great Head.
You spin the batons around the axis, the gold one has more rotational inerta
Masquerouge
Deity
I think the problem is you cannot touch the batons, since as soon as you touch one you have to pick it.
So I say, raise the table and make the two batons fall. The one with a hollow sound is the one you want to pick.
So I say, raise the table and make the two batons fall. The one with a hollow sound is the one you want to pick.
Timko
King
Correct. I was thinking you could use tilt the table and roll the batons down it and the fake one would hit the ground first.Perfection said:
I hadn't thought of that - but how would you know which sound was the `hollow' one?Basket said:
I take it everyone is stumped on the horse question then?
Masquerouge
Deity
Timko said:
How can you spin the batons without touching them ?
A "hollow" sound is pretty recognizable.timko said:
Okay, I thought that you were supposed to find a way of telling the right baton without touching it with your hands... oh well
punkbass2000
Des An artiste
Yom said:
You'd think so, eh. IIRC, this is one of those 'You Bet Your Life?' trick questions. 'Who's buried in Grant's Tomb?' would be another example. First, no one is buried in a tomb, they're entombed, and second, it's not Grant.
I guess 'brown'.
There are questions like that, but I was assuming that Timko was just seeing if we would see the blatantly obvious. Some people don't. White is definitely used as an adjective to describe Washington's horse, so whether the whole horse is white or not doesn't matter. A part of it must be white to call it a "white horse," meaning that I am at least partially correct.punkbass2000 said:
Timko
King
Yom is right, I was just being silly.
I didn't mean you couldn't touch them, but I guess you can spin them without touching them, by just tilting the table.
Masquerouge said:How can you spin the batons without touching them ?
...
Okay, I thought that you were supposed to find a way of telling the right baton without touching it with your hands... oh well
I didn't mean you couldn't touch them, but I guess you can spin them without touching them, by just tilting the table.
Perfection
The Great Head.
Here's a new puzzle
In game of standard chess how can one get an opponent in double check without having the piece moved threaten the king?
In game of standard chess how can one get an opponent in double check without having the piece moved threaten the king?
Masquerouge
Deity
Perfection said:
t is for tower, p is pawn, k is king.
First you're like this :
--------
t---p-k-
then you move your pawn to the last row and promote it to a horse :
----h---
t-----k-
Thus your king is suddenly doubled checked by the tower and by a horse !
The piece moved (the pawn) is not there anymore so it does not threaten the king.
