evasive

ɪˈveɪsɪv

adjective

tending to avoid commitment or self-revelation, especially by responding only indirectly.

she was evasive about her phone number

prevaricating,elusive,ambiguous,equivocal,equivocating,indefinite,non-committal,vague,indeterminate,imprecise,inexact,indistinct,inexplicit,cryptic,enigmatic,obscure,unclear,puzzling,perplexing,gnomic,Delphic,roundabout,indirect,oblique,circumlocutory,circuitous,periphrastic,cagey