Our system detected that your browser is blocking advertisements on our site. Please help support FoxesTalk by disabling any kind of ad blocker while browsing this site. Thank you.
Jump to content
 Share
Buce

Riddles

By Buce, in General Chat

Recommended Posts

Izzy

Izzy

Posted
Posted
5 minutes ago, Carl the Llama said:

No because it's fractional.  Say you have a cake and eat half of it leaving you half a cake.  Then you eat half of that piece leaving you 1/4 of a cake.  Then you eat half of that and it leaves you 1/8 of a cake.  However long you keep going. you will always have half of the previous piece remaining.  Same logic applies.

 

2 minutes ago, Buce said:

 

Unfortunately, I can't think of a simpler way to explain the concept.

 

Even if she was only the width of an atom short, she can only jump the width of half an atom; when she is the width of half an atom short, she can only jump the width of a quarter of an atom, and so on to infinity.

Thanks. I get it, but I still don't get it :thumbup:

Buce

Buce

Posted
  • Author
Posted (edited)
2 minutes ago, Suzie the Fox said:

I have five and take away two, yet I am left with four. How is this possible? 

 

Take away F and E which leaves IV (four in Roman numerals).

Edited by Buce
Carl the Llama

Carl the Llama

Posted
Posted
1 minute ago, Izzy Muzzett said:

 

Thanks. I get it, but I still don't get it :thumbup:

Look at it in terms of how much further is left to jump:  After the first half foot jump she still has half a foot to go.  Then she jumps 1/4 of a foot which leaves 1/4 left to cover, but then she jumps 1/8 foot which still leaves another 1/8th to jump.  Each new jump only halves the remaining distance.

 

In maths terms you'd say it's tending towards 1 foot, as in every time you add a new jump to the overall distance travelled then the final sum becomes infinitesimally close to being 1 without ever quite reaching it.

Buce

Buce

Posted
  • Author
Posted
7 minutes ago, Izzy Muzzett said:

 

Thanks. I get it, but I still don't get it :thumbup:

 

I found this if it helps any:

 

So, as per the question
she starts with 1/2 foot distance, and her ability reduces by 1/2 factor for each step she takes
Now,
The distance covered can be defined in the form ofgeometric series as,
1/2 + 1/4+  1/8+  1/16 ...
Now,
Sum ofan GP for r<1 is
S=a(1- r^n)/(1-r)
Do, she has to complete 1 foot no matter how manynumber of steps she takes
Also,
S∞ = a/(1-r)
Now,
a=1/2
r=1/2
So,
S∞ = 1
Bythis we conclude that she has to take infinite number of steps to complete a distance of 1 foot
(It was also mentioned in the question that she can run forever)
So,
if we want to represent it onnumber line
one end will be a point starting om 1/2 the other end will be arrow tending to ∞

 

Carl the Llama

Carl the Llama

Posted
Posted
2 minutes ago, Suzie the Fox said:

a stupid one 

 

How do football players stay cool during a game?

Something to do with all the fans I guess.

Carl the Llama

Carl the Llama

Posted
Posted (edited)
1 minute ago, Suzie the Fox said:

There was a girl half my age when I was 12, now I am 64, how old is she?

58

Edited by Carl the Llama
  • Like 2
Izzy

Izzy

Posted
Posted
2 minutes ago, Suzie the Fox said:

Yup! That one was quite easy ... even i worked it out, did you @Izzy Muzzett

I’m still working out why that girl can’t jump a foot. I mean it’s only a foot FFS

  • Haha 1
Buce

Buce

Posted
  • Author
Posted
1 minute ago, Suzie the Fox said:

6 = 12, 3= 6, but 5 does not = 10, how come? 

 

Letters in the word

 

3 = 10

  • Like 1
Izzy

Izzy

Posted
Posted
9 minutes ago, Carl the Llama said:

Look at it in terms of how much further is left to jump:  After the first half foot jump she still has half a foot to go.  Then she jumps 1/4 of a foot which leaves 1/4 left to cover, but then she jumps 1/8 foot which still leaves another 1/8th to jump.  Each new jump only halves the remaining distance.

 

In maths terms you'd say it's tending towards 1 foot, as in every time you add a new jump to the overall distance travelled then the final sum becomes infinitesimally close to being 1 without ever quite reaching it.

 

You’re far too clever to be working in a coffee shop Carl.

 

7 minutes ago, Buce said:

 

I found this if it helps any:

 

So, as per the question
she starts with 1/2 foot distance, and her ability reduces by 1/2 factor for each step she takes
Now,
The distance covered can be defined in the form ofgeometric series as,
1/2 + 1/4+  1/8+  1/16 ...
Now,
Sum ofan GP for r<1 is
S=a(1- r^n)/(1-r)
Do, she has to complete 1 foot no matter how manynumber of steps she takes
Also,
S∞ = a/(1-r)
Now,
a=1/2
r=1/2
So,
S∞ = 1
Bythis we conclude that she has to take infinite number of steps to complete a distance of 1 foot
(It was also mentioned in the question that she can run forever)
So,
if we want to represent it onnumber line
one end will be a point starting om 1/2 the other end will be arrow tending to ∞

 

You’re just taking the piss with that :P

  • Haha 1
Buce

Buce

Posted
  • Author
Posted
Just now, Carl the Llama said:

Of course!  That one had me fully stumped. :D 

 

 

It's maths that gets me.

 

I'm better at lateral thinking.

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.
Note: Your post will require moderator approval before it will be visible.

Guest
Unfortunately, your content contains terms that we do not allow. Please edit your content to remove the highlighted words below.
Reply to this topic...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...
×
 Share
Go to topic listing

  • Recently Browsing   0 members

    • No registered users viewing this page.
×
×
  • Create New...