this post was submitted on 01 Dec 2023
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172
The SAT Question Everyone Got Wrong (www.youtube.com)
submitted 11 months ago by [email protected] to c/[email protected]
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[–] [email protected] 16 points 11 months ago (2 children)

I would've never gotten that! I started getting lost trying to think about the differences in circumferences and radii before they mentioned the right or wrong answers

[–] [email protected] 11 points 11 months ago

My only intuition was this: if you take two identical coins and rotate them together (like a pair of gears), it takes one rotation each to reach the starting point. If you now rotate your head along with one of the coins, it will appear standing still, while the other one will be rotating twice as fast.

I still would have guessed the answer was 6, though. It took me awhile to figure out how extrapolate this model to a 3:1 ratio. As it turns out, it still works, and you get 4, but evidence of that was far from obvious to me.