Whitney Says That Gauss's Law Can Be Used to Find $\overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0$

Whitney says that Gauss's Law can be used to find the electric field of a sufficiently symmetrical distribution of charge as long as $\overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0$ over the whole Gaussian surface.Algie says that the electric field must be a constant vector over the entire Gaussian surface.Which one,if either,is correct?

A) Whitney,because that means no charge is enclosed within the Gaussian surface.
B) Algie,because a constant electric field means that $\oint \overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0$ .
C) Both,because the conditions in (a) and (b) are equivalent.
D) Neither,because the electric field can be found from Gauss's law only if $\overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0$ holds only over a portion of the Gaussian surface.
E) Neither,because the charge distribution must be symmetric if $\overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0$ anywhere on the surface.