there are several tricky Mensa problems involving highly idealised, regular speed concentric circle orbits
here is a selection:
two planets and the sun are initially in line
the planets circle the sun, clockwise, at different rates
when are they next in line if they circle the sun:
1] A: every 2 years B: every 6 years?
2] A: every 5 years B: every 15 years?
3] A: every 20 years B: every 100 years?
for a given ratio, it can be helpful to think about the angle turned by the faster planet when the slower planet goes through a particular angle
in general...?
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