How much wood could a woodchuck chuck if a woodchuck could chuck wood?
There are 10 woodchucks. A woodchuck will tell the truth if it has chucked wood. If a woodchuck hasn't chucked wood, the woodchuck will randomly tell the truth or lie at any given moment. You do not know which woodchucks have chucked wood. Each woodchuck is given a random number from 1 to 10 without repeats. A woodchuck with an even number will say: I have chucked wood and woodchucks with an odd number will say: I have not chucked wood. What is the fewest number of woodchucks that have chucked wood?
The answer is 5.
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1 solution
A woodchuck can only say that I haven't chucked wood if they haven't chucked wood as it would be lying if the woodchuck had chucked wood. Similarly, a woodchuck will only say it did chuck wood if it chucked wood OR didn't chuck wood. So, assuming the even numbered woodchucks have chucked wood , and there is 5 of them, at most 5 have chucked wood.