Track / Stage 4 / 36 of 340 #296 of 1964

Problem 296

AMC 12 late, AIME early

Combinatorics Difficulty 4.7 Find the answer

10. 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

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Official solution

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.