Question 58
On the island that isn't there there are 2008 inhabitants, divided into three clans: the knaves, who always lie, the knights, who never lie, and the pages, who lie one day yes and the next day no. Lorenza, visiting for two days, meets all of them on the first day. The first says: "there is exactly one knave on the island"; the second says: "there are exactly two knaves on the island"... the 2008th says: "there are exactly 2008 knaves on the island". The next day Lorenza questions them all again in the same order. The first says: "there is exactly one knight on the island"; the second says: "there are exactly two knights on the island"... the last says: "there are exactly 2008 knights on the island".
How many pages are there on the island?
(A) 0
(B) 1
(C) 1004
(D) 2006
(E) it is not possible to determine it from the data of the problem.
How many pages are there on the island?
(A) 0
(B) 1
(C) 1004
(D) 2006
(E) it is not possible to determine it from the data of the problem.