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What is the difference between constant and consistent?
'constant' is something stable or permanent while 'consistent' may refer to density, something like 'dense' or'solid';
anyway a dictionary should help...

These words have various meanings, as your dictionary will tell you.

Very, very broadly, here's my first reaction to them with no context.

constant - all the time.

eg There was a constant noise in the classroom all day.

consistent - not varying

eg His behaviour in class for a year was consistent. He was a nuisance every day.