Adolf who passed away recently was the owner of a winery. He possessed 21 barrels of which 7 were full, seven were half and 7 were empty. He has three sons and according to his will, the wine and barrels must be split among his sons in a manner that each one of the three has the same number of full, half and empty barrels.
How can the barrels and wine be divided when there is no measuring device present?
Well that it is quite possible. First we have to take two half-filled barrels and pour them entirely in one of the empty barrels. Then we have to do it once more with another two half-filled barrels. After that, we will have 9 barrels full of wine, three barrels half filled with wine and nine entirely empty barrels.
As we have to divide equally, each son will get 3 barrels full of wine, 3 empty barrels and one half filled barrel.
Irene and Andy were eagerly re-counting the result of their annual sports day finale. There were three contestants, Leone, Rhea, and James. Irene recounted that Leone won the award, while Rhea came in second. Andy, on the other hand, recounted that James won the award, while Leone came in second.
Nonetheless, neither Irene nor Andy had given an accurate report of the results of the finale. Each of them had given one truthful statement and one untrue statement. What was the authentic placing of the three contestants?
There are eight huge chocolate bars in front of you. All of them weighs the same except one which is slightly heavier. A balance scale has been provided to you. How many weighing do you need to find out the heavier one?
Divide the chocolate bars into two groups of three and a group of two. Now weigh the three chocolate bars against the other three. There can be two possibilities
If the scales are even, the heavy one will be between the two left and then you can weigh them against each other and find out which one is heavy.
If the scales are uneven, take the three on the heavy side and pick any two of them for balancing again. If the scales are uneven, you will know which one is heavy and if the scales are even, then the heavier is the one you left.
101 cricket teams took part in the annual state tournament. The champion was chosen on the usual knock out scheme.
All the 101 teams were divided into pairs, and the two teams of each players played against each other. The team who lost was eliminated from the tournament. The winning teams were paired again and they played against each other again.
How many such games must be played to have one winner?