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Can you accept this challenge?

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Here is a Swiss Cross. You have to make two straight cuts in the figure so that it is divided into four congruent pieces. Also you should be able to join these pieces into a square then.

Can you accept this challenge?

posted Aug 13, 2014 by Aastha Joshi

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+2 votes

There is a deck of 100 initially blank cards. The dealer is allowed to write ANY positive integer, one per card, leaving none blank. You are then asked to turn over as many cards as you wish. If the last card you turn over is the highest in the deck, you win; otherwise, you lose.

Winning grants you $50, and losing costs you only the $10 you paid to play.

Would you accept this challenge?

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Pranoy gave Niloy the following challenge: "If you sit down in that chair, I bet I can make you get out of it before I run around the chair three times," he said.
"Aw, that's not fair," Niloy said.
"You'll just pick me with a pin or something."
"Nope," Pranoy said.
"I won't touch you, either directly or with any object. If you get out of the chair, it'll be your own choice."
Niloy thought, accepted the challenge, and lo and behold, Pranoy won the bet.
How did he do it?