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A circle rolls on the onside of the circumference of a round clock in a 2-dimensional plane, they touch only at one point. The circle has an arrow pointing straight up when it's initially placed at the number 12 on the clock. The circle starts to roll clockwise along the circumference of the clock, and the arrow rotates as it rolls. Where is the circle (at what number on the clock) when the arrow first point straight up again?
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Seismic Imaging Analyst

Interviewed at Viridien

4★
Feb 13, 2019

A circle rolls on the onside of the circumference of a round clock in a 2-dimensional plane, they touch only at one point. The circle has an arrow pointing straight up when it's initially placed at the number 12 on the clock. The circle starts to roll clockwise along the circumference of the clock, and the arrow rotates as it rolls. Where is the circle (at what number on the clock) when the arrow first point straight up again?

2 questions, 30 minute telephone interview. 1- determine how many integers from 1-10,000 include the number 7. 2- you have a balance scale and 10 coins, 9 of which are the same weight and the other is different. determine in the fewest amount of measurements which coin is different and if it weighs more or less than the other 9 coins.
avatar

Seismic Imager

Interviewed at Viridien

4★
Jul 22, 2013

2 questions, 30 minute telephone interview. 1- determine how many integers from 1-10,000 include the number 7. 2- you have a balance scale and 10 coins, 9 of which are the same weight and the other is different. determine in the fewest amount of measurements which coin is different and if it weighs more or less than the other 9 coins.

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