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Mislabeled Boxes of Marbles

Three closed boxes have either white marbles, black marbles or both and they are labeled white, black and both. However, you’re told that each of the labels are wrong. You may reach into one of the boxes and pull out only one marble. Which box should you remove a marble from to determine the contents of all three boxes? 


How to correct the labels?
 Mislabeled !

Find here how it can be done!  

Source 

Correcting labels of Marble Boxes


How they were mislabeled? 

We should pick marble from a box labeled as 'Both'. Since it is incorrectly labeled it must content either all black or all white marbles.  After we know what it contains, we can identify the other 2 boxes by the process of elimination as below.

1. If the marble picked is BLACK, then obviously it is the box of black marbles. Two remaining boxes labelled as WHITE & BLACK are left. Since all labels are wrongly tagged the box tagged with WHITE must not be the box with all white marbles. It must contain both colors of marbles. And the one tagged as a BLACK must contain all white marbles.
 

Look at the figures below. In circle, labels are written & outside are the contents of the boxes. Arrows represents how the contents are rotated to make labels of the boxes wrong.


Shuffling of the box contents & labels

2. If the marble is WHITE, then obviously it is the box of white marbles. Two remaining boxes labelled as WHITE & BLACK are left. Since all labels are wrongly tagged the box tagged with BLACK must not be the box with all black marbles. It must contain both colors of marbles. And the one tagged as a WHITE must contain all BLACK marbles.


'The Wisest Son'

Once an old called his three sons. He gave them equal money and ask them to buy something that can fill their living room entirely. He told them that he will give all his money and property to the son who is able to do this task as asked.
The first son buys sticks and tries to fill the room but he falls short of sticks. The second son buys straw but he also falls short of filling the room. The third son buys only two things and he is able to fill the room completely and thus earns all the property and money.

What did he buy?

Test to find the wisest son

Here is what did he buy! 

Source 

The Wisest Son Deserves Rewards


What was the condition? 

The third son was very wise to choose his option (like you did while choosing to read this blog). There are two/three possible things that he might have bought.

1. He bought a candle & match box. Just ignited that candle in room & light filled in entire room.

2. He just bought perfume & sprayed in room. The smell of perfume occupied the entire room. 

 The test passed by the wisest son!
 
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