Modularity of basic programming first appeared with visual basic? True or False?
False, even GW Basic & Quick Basic which have appeared before visual basic have modularity.
I've seen examples of clean, modular BASIC code that predate VB. In general, you can use any programming approach with any syntax, although some syntaxes encourage a particular style. The BASIC language is free-form enough that the style it tends to encourage is "messy". Over the years Microsoft has made an effort to introduce features in VB that promote more structure.
QBasic (and presumably QuickBasic) had subroutines and functions which were (or at least could be) viewed and edited separately from the main program. While not file-level modularity, that does stand as one example.
False - Gordon Eubanks product: CBasic (written aboard USS George Washington) first available from IMSAI then later from Digital Research Corp after they bought it circa 1981 see this entry on wikipedia for more information.