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Logic Puzzle #3

her209

No Lifer
There are 3 boxes. 1 has apples, 1 has oranges and the other has apples and oranges. The boxes are labeled wrong so that no label is correct. Sue opens just one box, and without looking in the box, takes out 1 piece of fruit. She looks at the fruit and immediately labels all the boxes correctly. Which box did she open and how did she know?
 
she opened the box labeled apples and oranges, and picked out an orange. so it must have been the orange box.

becuase the box labeled apples can't have just apples in it, and the orange box has already been discovered, it must be the box with both in it.

leaving the box labeled oranges to be the apple box.
 
hmm ... does it matter what type of box she opens? Say she opens box A (it's apples but labeled oranges), she switches the label with the box the is not labeled oranges and puts the appropriate label on what she say, apples. Is this wrong?
 
Originally posted by: LordSnailz
hmm ... does it matter what type of box she opens? Say she opens box A (it's apples but labeled oranges), she switches the label with the box the is not labeled oranges and puts the appropriate label on what she say, apples. Is this wrong?
She only takes out one piece of fruit.
 
Originally posted by: her209
Originally posted by: LordSnailz
hmm ... does it matter what type of box she opens? Say she opens box A (it's apples but labeled oranges), she switches the label with the box the is not labeled oranges and puts the appropriate label on what she say, apples. Is this wrong?
She only takes out one piece of fruit.

ah, then go to the box is labeled "apples and oranges" since you know it's going to be wrong. Then when you pick out a fruit from that box, you know that that fruit is representative of the whole box. Then you can go switch the labels knowing that they're suppose to be all wrong?
 
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