Frank and the Resistors
AN ENGINEER called Frank ordered nine (9) boxes of 100-ohm resistors and one box of 110-ohm resistors for an automated-robotic budgerigar claw clipper he was building. When they arrived, there were ten (10) resistors in each of the ten boxes, but both the boxes and the resistors were unmarked.
Frank knew that he could fairly quickly find the box of the 110-om resistors by simply performing a resistance test on one resistor from each box, but he thought, "That could mean I'd have to do nine resistance tests!". Frank went to the drawing board and analysed and calculated. And he's still at it.
Maybe you can help. What is the least number of resistance tests Frank would have to do to locate the box of 110-ohm resistors, and how would he do it?
Here's my solution and/or comments :
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