Logic problem: 3 boxes

Andrew Green

Grandmaster
MTS Alumni
Joined
Aug 1, 2004
Messages
8,627
Reaction score
452
Location
Winnipeg MB
This one is a little easier then the princesses :D



There are three boxes. One is labeled "APPLES" another is labeled "ORANGES". The last one is labeled "APPLES AND ORANGES". You know that each is labeled incorrectly. You may pick one fruit from one box and must fix the labels based on that.



How can you label the boxes correctly?
 

crushing

Grandmaster
Joined
Dec 31, 2005
Messages
5,082
Reaction score
136
Mmmm. An orange sounds pretty good right now.

I think I'd take my chances and try to pull and orange out of the "Apples and Oranges" box to solve the problem, even though I'd have a much better chance of pulling an orange out of the "Apples" box. ;)
 

shesulsa

Columbia Martial Arts Academy
MT Mentor
Lifetime Supporting Member
MTS Alumni
Joined
May 27, 2004
Messages
27,182
Reaction score
486
Location
Not BC, Not DC
Like Joe Portocalis says, "In the end, we're all fruit."

"monkey picks peach"
 

Carol

Crazy like a...
MT Mentor
Lifetime Supporting Member
MTS Alumni
Joined
Jan 16, 2006
Messages
20,311
Reaction score
541
Location
NH
This one is a little easier then the princesses :D



There are three boxes. One is labeled "APPLES" another is labeled "ORANGES". The last one is labeled "APPLES AND ORANGES". You know that each is labeled incorrectly. You may pick one fruit from one box and must fix the labels based on that.

How can you label the boxes correctly?

By picking one fruit from the box labeled "apples and oranges"
 

Carol

Crazy like a...
MT Mentor
Lifetime Supporting Member
MTS Alumni
Joined
Jan 16, 2006
Messages
20,311
Reaction score
541
Location
NH
Here's why...

Each box is mislabeled. Therefore, the box labeled "Apples and Oranges" must contain only apples, or only oranges. Selecting one fruit will determine whether the contents are Apples, or Oranges.

If the fruit I select is an apple, therefore:
The box labeled Apples and Oranges contains Apples.
The box labeled Oranges contains Apples and Oranges.
The box labeled Apples contains Oranges.

If the fruit I select is an orange, therefore:
The box labeled Apples and Oranges contains Oranges.
The box labeled Oranges contains Apples
The box labeled Apples contains Apples and Oranges
 

morph4me

Goin' with the flow
MT Mentor
MTS Alumni
Joined
Sep 5, 2006
Messages
6,779
Reaction score
124
Location
Ossining , NY
Just dump the all the fruit in the box that says apples and oranges, that way it's labled correctly and you don't strain your brain. It's the lazy man's logic.
 

Last Fearner

2nd Black Belt
Joined
Jan 21, 2006
Messages
712
Reaction score
17
Here's why...

Each box is mislabeled. Therefore, the box labeled "Apples and Oranges" must contain only apples, or only oranges. Selecting one fruit will determine whether the contents are Apples, or Oranges.

By George, I think she's got it! :)

Shows what a little logic can do for you!

Good show!

CM D.J. Eisenhart
 

Last Fearner

2nd Black Belt
Joined
Jan 21, 2006
Messages
712
Reaction score
17
Just dump the all the fruit in the box that says apples and oranges, that way it's labled correctly and you don't strain your brain. It's the lazy man's logic.

Hey morph,

You and I posted at the same time, so I didn't get to read you reply, however I like the alternative solution to problems. Not because it's "lazy," but often times the most simple solution is the best! :ultracool

Way to think "outside the box!"
 
OP
A

Andrew Green

Grandmaster
MTS Alumni
Joined
Aug 1, 2004
Messages
8,627
Reaction score
452
Location
Winnipeg MB
Here's why...

Each box is mislabeled. Therefore, the box labeled "Apples and Oranges" must contain only apples, or only oranges. Selecting one fruit will determine whether the contents are Apples, or Oranges.

If the fruit I select is an apple, therefore:
The box labeled Apples and Oranges contains Apples.
The box labeled Oranges contains Apples and Oranges.
The box labeled Apples contains Oranges.

If the fruit I select is an orange, therefore:
The box labeled Apples and Oranges contains Oranges.
The box labeled Oranges contains Apples
The box labeled Apples contains Apples and Oranges

yup :)
 

Latest Discussions

Top