Question 48
There are 100 diamonds on display; 50 of them genuine and 50 of them fake. Peter is the only person able to distinguish them. Whenever you point to three diamonds, Peter will cover one of them and (truthfully) tell you, how many of the remaining two are genuine. Determine if it is possible to find the 50 genuine diamonds, no matter how Peter answers your queries.
(Michal Rolínek, Josef Tkadlec)
(Michal Rolínek, Josef Tkadlec)