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Jack of Cards

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Suppose the cards started as A, B, C, D and E in that order. Jack then hands over A, puts B on the bottom, hands over C, puts D on the bottom and hands over E. The cards are then in the order BD, so B is placed on the bottom and D is handed over.

This means I receive the cards in the order A, C, E, D, B. This is in order, so A is the Ace, C the 2, E the 3, D the 4 and B the 5. Hence, the original order was Ace, 5, 2, 4, 3.

This problem is taken from the UKMT Mathematical Challenges.