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1.
NCT
An abbreviation for Nobody Cares Though.
Often used on twitter in conjunction with a hashtag (#)

eg. #NCT
twitter A:My head hurts #NCT
twitter B:I care
by projectmorph August 13, 2011
 
2.
NCT
Naked Cuddle Time. When you and another person cuddle together naked.
My boyfriend just loves NCT
by BIgCountry4Life July 02, 2010