Let there be a Gaussian surface S that has some charges inside and some outside. Which one of the following statements is true?

Correct option is A

Correct answer is A
Explanation:
1) The electric field outside the surface S is due to all the charges, both outside and inside S.  This statement is true because the electric field at any point is determined by the superposition of the electric fields produced by all charges in the system.
2) The electric field outside the surface S depends on qoutside - qinside. This statement  is incorrect because the electric field outside the surface depends on the vector sum of contributions from all the charges, not just their difference.
3) The electric field outside the surface S is due to charges inside the surface. This statement is incorrect because the electric field outside is influenced by both inside and outside charges.
4) The electric field outside the surface S is due to charges outside the surface. This statement is also incorrect because it ignores the effect of charges inside the surface.