What is wrong with the following proof?
2=1
a = b
a2 = ab
a2 – b2 = ab – b2
(a+b)(a-b) = b(a-b)
a + b = b
2b = b
2 = 1
Logic Riddles
Three Friends
At school Joe has three friends: Tim, George and Paige. Two of them play football, two play tennis, and two play golf. The friend who doesn’t play golf doesn’t play tennis and the one who doesn’t play football doesn’t play golf. Paige doesn’t play tennis. Which sports does each person play?
Riddle AnswerQuarter on the Table
Your friend pulls out a perfectly circular table and a sack of quarters, and proposes a game.
“We’ll take turns putting a quarter on the table,” he says. “Each quarter must lay flat on the table, and cannot sit on top of any other quarters. The last person to successfully put a quarter on the table wins.”
He gives you the choice to go first or second. What should you do, and what should your strategy be to win?
Riddle AnswerEmpty Pocket
Wind Blows South Then North
There’s a place in the world where the wind blows south then suddenly north. Where is it?
Riddle Answer