UCEED 2022

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UCEED2022Q13·nat·Hard105 attempts

Shown below are three tubes P, Q and R with coloured marbles. Each tube can hold a maximum of 5 marbles. Only one marble can be transferred in a move. What is the minimum number of moves required to transfer the red marble from tube 'P' to the bottom of tube 'R'?

Keyboards off — use the numpad, just like on exam day.