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  HOW MANY WEIGHINGS?  
At one time Harry and I had an agency for selling pills to farmers to help increase the milk yield from their cows.  These pills were sold to us in jars, each jar containing 1000 pills, all of the same size and weight, the pills being weighed in grammes.  In order to sell the exact number of pills we had an accurate set of electronic scales on which to weigh them.

On one occasion Harry and I received an assignment of 40 jars.  Before we used them the manufacturer telephoned in some agitation to tell us that, due to a fault in manufacture, one of the jars in the consignment contained pills which, although apparently of the same size as the others, lacked an important ingredient.  Each of these pills weighed 1/20th less than a normal pill.

We had the scales and knew the weight of a proper pill, so it was not difficult to find the rogue jar.  Harry and I, however, in our usual competitive way, challenged each other to find the least number of weighings required to achieve this.  Harry, as is often the case, won.

How many weighings did he make in order to find the rogue jar?


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