**Hard Lateral Thinking Puzzle - 4 August**

Suppose we lay down two cups in front of you. One of the cups is filled with tea and the other one with coffee. Now we ask you to take a spoonful of tea and mix it with the coffee. At this moment, the coffee cup has a mixture of tea and coffee. You have to take that mixture (spoonful) and add it back to the tea.

Can you now tell if the cup of coffee has more tea or the cup of tea has more coffee ?

**For Solution :**Click Here

Both mixtures have exactly the same amount of the "opposite" ingredient.

ReplyDeleteThinking about the problem in "massive" scale makes it clear.

If the whole quantity of tea could fit in a spoonful ,we would have 0 in one cup and tea-coffee (50-50%) in the other .Now take half of it and return it to the first cup.

Cup of Coffee has more Tea

ReplyDeleteNone of the above. Coffee cup will have more coffee than tea n likewise with the cup holding tea.

ReplyDelete2 cups, equal volumes, ingredients: coffee ,tea (and nothing else...)

DeleteThe volume of each cup after the swap (or after x swaps by the way..) is the same. That means that

whatever coffee is missing from the first cup must have been replaced

with exactly the same amount of tea. It doesn't get any simpler than that.

"That means that

Deletewhatever coffee is missing from the first cup must have been replaced

with exactly the same amount of tea" and vice-versa of course. Whatever tea is missing from the second cup must have been replaced with coffee.

"Austere" mathematical proof...

DeleteLet each cup contain V mls or whatever Volume units . You start with V coffee in one cup and V tea in the other. After some spooning (it doesn't matter how much or whether you mix or not!), the coffee can has c coffee and t=V−c tea. The tea cup has V−t=c tea and V−c coffee. So there is the same amount of coffee in the tea as tea in the coffee.

Both of the cup have same amount of tea and coffe

ReplyDeleteCup of coffee has more tea as compared to cup of tea..

ReplyDeletecup of coffee has more tea

ReplyDeleteboth the cups have same amount of tea nd coffee

ReplyDelete