Winner-take-all.
Nope. Only if you take 50% or more.
From The Green Papers:
Tuesday 1 March 2016: All 155 of Texas's delegates to the Republican National Convention are bound to presidential contenders in today's Texas Presidential Primary. [General Rules for All Conventions and Meetings. Rule 38.]
Most of the delegates are the per-district delegates (108 district vs 47 statewide). If a candidate has a plurality in most of the districts, he could walk away with a majority of the delegates for Texas.