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Question :

There are four bottles. Each bottle is known to contain only P or only I. They will be considered to be "collectively ready for despatch" if all of them contain only P. In minimum how many tests, is it possible to ascertain whether these four bottles are "collectively ready for despatch"?

Started 1 month ago by Shashank in

Answer : 1

Explanatory Answer

Now either a bottle has 100% P or 0% P.
Let’s assume that 3 are 100% pure and 1 is 0% pure, so now if we mix all 4 together
Weighted average = (3*100 + 1*0)/4 = 75%
As per question if the impurity is more than 10% we will be able to detect it, thus only 1 test is
enough to determine if the bottles are ready for despatch.

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