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VJeyaa · Posted: Wed May 21, 2008 10:19 am Post subject: Puzzle # 14

There are two types of fruits and there are 3 hard cardboard boxes containing the fruits. One is labeled "GRAPES", another is labeled "KIWIS", and the last is labeled "GRAPES AND KIWIS". You know that the labels are currently misarranged, such that no box is correctly labeled. You would like to correctly rearrange these labels. To accomplish this, you may draw only one fruit from one of the boxes. Which box do you choose, and how do you then proceed to rearrange the labels?
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rishi · Senior Member Joined: 06 Mar 2008 Posts: 620

Three boxes labeled as bellow:
box1- grapes
box2-kiwis
box3 grapes and kiwis.

all the boxes are wrongly labeled.

so possibility:
box1- kiwis / grapes and kiwis
box2-grapes / grapes and kiwis
box3- grapes / kiwis.

i will check the fruit in box labelled as grapes and kiwis.
assuming i get a grape.

Then i'll rearrange it as below:
box1- kiwis
box2-grapes and kiwis
box3 grapes

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tgopal · Junior Member Joined: 17 Mar 2008 Posts: 40

I'll choose the GRAPES AND KIWIS Box. I will get either a grape or a kiwi.
1) If I get a grape, then this box must carry the GRAPES label, as it cannot carry GRAPES AND KIWIS label. Now, since the other 2 boxes were also wrongly labelled, I'll change the KIWI label with GRAPES AND KIWIS and GRAPE with KIWI.
2)If i get a kiwi, then this must be the KIWI box, GRAPE label will go to KIWI and GRAPES AND KIWIS goes to GRAPE.