You are on an island with two tribes. One tribe always tells the truth, and the other tribe always lies. You meet three individuals from the island: A, B and C. Each individual belongs to one of the tribes. You ask each of them the same question: "Is B a truth-teller?"
A says, "Yes, B is a truth-teller."
B says, "No, I am not a truth-teller."
C says, "B is a liar."
Step 1: Analyze B's statement.
B says, "No, I am not a truth-teller." If B were telling the truth, then he wouldn't be a truth-teller, which is a contradiction.
Hence, B is lying, so B is a liar.
Step 2: Analyze A's statement.
A says B is a truth-teller. But we just proved B is a liar, so A must be lying too.
Step 3: Analyze C's statement.
C says B is a liar. That’s a true statement, so C must be a truth-teller.
Conclusion: C is telling the truth; A and B are lying.
Statement: All flowers are beautiful. Some beautiful things are fragile.
Conclusion I: Some flowers are fragile.
Conclusion II: All beautiful things are flowers.
Five friends A, B, C, D, and E are sitting in a row facing north, but not necessarily in the same order:
B is to the immediate left of C
E is not at any of the ends
D is to the right of E but not next to C
A is at one of the ends
Who is sitting in the middle?