First, let’s review the different construction types listed above.
IIIA - Exterior walls are of noncombustible materials and the interior building elements are of any material permitted by code
IB - Fire resistive, noncombustible materials, except as permitted by Section 603 or elsewhere in the code
VB - Structural elements, exterior walls, and interior walls are of any material permitted by code
IIA - Noncombustible materials, except as permitted by Section 603 or elsewhere in the code
Right away you can rule out I and II because wood framing is combustible. This leaves you with III and V. Typically type III is considered your ordinary construction with masonry walls and a wood roof or floor assembly. Typically VB is reserved for single family home construction and is often all wood framed.
So in this case I would select IIIA. If however, the question stated that the wooden trusses at the roof were not a part of a rated assembly, I would then choose VB because it is the least strict of the options.