2 Circles Math Problem That Everyone Answered Incorrectly in SAT Exam

This video is adapted from MindYourDecisions. I found the question very interesting and tricky and I was able to solve it with two different approaches.
In this video I am explaining the two approaches with some graphical animation.

Video link from MindYourDecisions : https://www.youtube.com/watch?v=kN3AOMrnEUs

Problem :
The radius of circle A is one-third(1/3) the radius of circle B.
Circle A rolls around circle B one trip back to its initial position,
Question:
How many times will Circle A revolve till it reaches back to initial position?

These are your options.
(a) 3/2 (b) 3 (c) 6 (d) 9/2 (e) 9 (f) NONE of these

This question comes from 1982 S.A.T. Examination (United States)
and there were only 5 options
and all the candidates answered it incorrectly.
Reason being that the correct answer was not included in the options.
Later, 3 students claimed to the College Board, that the actual answer is 4.
And that's true.... that's why i purposely added the sixth option for you as None of these.

Please comment below your answers and suggestions. Also LIKE the video and SUBSCRIBE to my channel if you are new.

Also, please give a try to difficult puzzles and Interview Questions Answers specific to Puzzles and Riddles.

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Pipes and Cistern Problem || Shortcut Tricks - Aptitude Test || GMAT / GRE / CAT / Bank PO / SSC CGL
https://youtu.be/WsOd8Am40h0

RED and BLUE marbles PUZZLE || Probability Problem GMAT / GRE / CAT / Bank PO / SSC CGL
https://youtu.be/uGJMjCTWLx0

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