Which of the following are not state functions?
I) q + W
II) q
III) W
IV) H-TS

• (I) and (IV)

• (II) (III) and (IV)

• (I), (II) and (III)

• (II) and (III)

D.

(II) and (III)

A state function is the property of the system whose value depends only on the initial and final state of the system and is independent of the path.
Therefore, 
Internal energy (ΔE) = q +W
It is a state function because it is independent of the path. It is an extensive property.
∴ Gibbs energy (G) = H -TS
It is also a state function because it is independent of the path. It is also extensive property. 
Heat (q) and work (W) are not state functions being path dependent.