Track / Stage 4 / 48 of 340 #308 of 1964

Problem 308

AMC 12 late, AIME early

Combinatorics Difficulty 4.7 Find the answer

When gear $\mathrm{A}$ rotates 5 full turns in the clockwise direction, ().
A. Gear $\mathrm{C}$ rotates 5 full turns in the clockwise direction
B. Gear $\mathrm{C}$ rotates 5 full turns in the counterclockwise direction
C. Gear $\mathrm{C}$ rotates 7 full turns in the clockwise direction
D. Gear $\mathrm{C}$ rotates 7 full turns in the counterclockwise direction
E. Gear $\mathrm{C}$ rotates 8 full turns in the counterclockwise direction

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

Official solution

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.