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UKMT Senior Kangaroo, 2017

Algebra Difficulty 3.0 AMC 10/12 Prove it United Kingdom

Priti is learning a new language called Tedio. During her one hour lesson, which started at midday, she looks at the clock and notices that the hour hand and the minute hand make exactly the same angle with the vertical, as shown in the diagram. How many whole seconds remain until the end of the lesson?

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