Two circles

Logic Level 3

The radius of circle A is 3 times longer than the radius of circle B. Then what is the minimum number of rotations taken by circle B to complete one revolution on the surface of circle A?

4 10 2 3 6

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1 solution

Radius of circle A is R and radius of circle B is r. R = 3r .ratio of Circumference of circle A and Circle B is 3:1 .so the number of times required is three. but practically it is four. .so the answer is n+1, where n is the number of times calculated mathematically (ratio of the big circle to small circle) .If you have doubt, try it by yourself by taking two circles with appropriate radii.

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