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How Can You Label All Of The Crates Correctly?

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You work at a fruit factory.
There are 3 crates in front of you.
One crate contains only apples.
One crate contains only oranges.
The other crate contains both apples and oranges.
And each crate is labeled.
One reads "apples", one reads "oranges", and one reads "apples and oranges".
But the labeling machine has gone crazy and is now labeling all boxes incorrectly.
If you can only take out and look at just one of the pieces of fruit from just one of the crates,
How can you label all of the Crates correctly?

posted Jan 15, 2015 by anonymous

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1 Answer

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From the box with Apples and Oranges. That box will contain whatever fruit you pick. The box that is labeled what you picked is the other fruit. The third box is the mixture.
You pick Apple.
The box Apples and Oranges contains only Apples.
The box Apples contains only Oranges.
The box Oranges contains Apples and Oranges.

answer Mar 16, 2015 by Jcm



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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 ask me to pick one fruit from one box which you choose.

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From the clues given can you correctly label the towns A to F and answer the questions below?

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Town C is south of town E and west of town D

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From the clues given can you correctly label the towns A to F and answer the following questions?

Town D is north of town E and southeast of town A

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From the clues given, can you correctly label the towns A to F and answer the following questions?

Town B is north of town F and northwest of town C.

Town F is north of town D and southeast of town A.

i) Which town is southwest of town F?

ii) Which town is west of town B?

iii) Which town is northeast of town D?

iv) Which town is west of town C?

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