Synonyms for Rag (same or very similar meaning)
WordNet sense 1 (a week at British universities during which side-shows and processions of floats are organized to raise money for charities):
rag week
WordNet sense 2 (music with a syncopated melody (usually for the piano)):
ragtime
WordNet sense 3 (newspaper with half-size pages):
sheet, tabloid
WordNet sense 4 (a small piece of cloth or paper):
shred, tag, tatter, tag end
WordNet sense 5 (treat cruelly):
bedevil, crucify, dun, frustrate, torment, torment
WordNet sense 6 (cause annoyance in; disturb, especially by minor irritations):
annoy, bother, chafe, devil, gravel, irritate, nark, nettle, rile, vex, get at, get to
WordNet sense 7 (harass with persistent criticism or carping):
bait, cod, rally, razz, ride, tantalize, taunt, tease, twit, tantalise
WordNet sense 8 (censure severely or angrily):
berate, chide, jaw, lambast, lambaste, lecture, rebuke, remonstrate, reprimand, reproof, scold, trounce, reproof, call on the carpet, dress down, bawl out, call down, chew out, chew up, have words, take to task
From the ODE community, based on WordNet
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