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Mar 13, 2017 at 20:41 comment added Gareth McCaughan Handwavily, if I ask p+q+r=10 questions then there are 2^p+2^q+2^r-2 possibilities for which questions if any are answered wrong, and that's at least 2^3+2^3+2^4-2=30, and 2^10/30 is much smaller than 64, which feels as if this shouldn't actually be possible. But that falls some way short of being an actual proof :-).
Mar 13, 2017 at 20:11 history edited Gareth McCaughan CC BY-SA 3.0
oops
Mar 13, 2017 at 20:10 comment added Gareth McCaughan Oooops, of course it would. I don't know what I was thinking.
Mar 13, 2017 at 19:53 comment added Wesley Situ For the first part of 102, wouldn't doing the same thing for bits 2,3,4, and 5 be a total of 9 questions?
Mar 13, 2017 at 19:49 history edited Gareth McCaughan CC BY-SA 3.0
102
Mar 13, 2017 at 19:16 history answered Gareth McCaughan CC BY-SA 3.0