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MathNet 2012 Question 75

Math Olympiad Vault · MathNet 2012

Question 75

Estefânia has five cards marked $A,B,C,D,E$, stacked in that order from top to bottom. She shuffles by taking the top two cards and placing them, in reverse order, at the bottom of the stack. The figure shows the first two shuffles.

Question illustration

If Estefânia shuffles the cards 74 times, which card will be on top?
A) $A$
B) $B$
C) $C$
D) $D$
E) $E$