Knowing The Number of Liars
What is the question?
The information that we have -
1. At least one of them is honest.
2. If you take any two politicians, at least one of them is a liar.
Only one of them must be honest and other 99 must be liars.
Those are the only numbers that can justify the second piece of information. In the case, if any 2 are selected at least 1 of them liar while other may or may not liar (i.e. may be honest).
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