Mechanical Computer riddle
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The Puzzlefry mechanical computer is a very sensitive device, it consists of interlocked toothed gear cogs.
The largest Cog has 242 teeth and the others have 160, 64 and 22 respectively.
By accident, John started to rotate the largest Cog.
How many revolutions must he rotate the largest Cog make before the computer is back in its starting position with all of the Cogs where they started?
wheel 1 —> 242 = 2*11^2
wheel 2 —> 160 = 2^5 * 5
wheel 3 —> 64 = 2^6
wheel 4 —> 22 = 2*11
So if it will need x number rotations to the largest clog(wheel 1),
x = (2^6 * 5 * 11^2)/242
= 160
Your Answer
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