Mrs Brown gets her class of 21 children to stand in a circle. She chooses the child in the first position to give one of 21 Valentine’s cards anti-clockwise to the person next to their neighbour. The children keep passing the cards in this pattern until they all have one. The child at which position is last to receive a card?

The child that is next to the neighbour clockwise of the child in the first position.

Explanation:

If you pass cards anti-clockwise skipping each time the neighbour, in the first round you reach the neighbour clockwise of the first child with the 11th card; the second round is finished with card nr 21 that is received by the child next to the neighbour clockwise of the first child.

b) the bill goes to the president.

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