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Questions ( 3 )
  • Four spectators were commenting on the outcome of a 100m race. Erik : A came in second and B came in third. Richie : C was fourth place and B was in second place. William : D finished second and C finished third. Nathan : D was in first place and B was in third place. Only one remark in each comment is true. In what position was C?

  • In a party,people shake hands and talk together.Prove that the number of people who have an odd numbers of shake hands is an even number.

  • There are 1000 cards on a table in a row. Each card has two sides, one is red and one is blue. The first 500 cards are placed with the red side up, the last 500 cards - the blue side up. At first, Ann flips every card over. Then, Ann flips every second card over. Then, every third, then every fourth, and so on until you flip every thousandth and Ann finishes flipping them. In the end, how many cards will end up with the red side up?
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