Refer to the arrangement of charges in the figure and a Gaussian surface of radius R with Q at the centre. Then:

a. total flux through the surface of the sphere is -Qε0.
b. field on the surface of the sphere is -Q4πε0R2.
c. flux through the surface of the sphere due to 5Q is zero.
d. field on the surface of the sphere due to -2Q is the same everywhere.

Choose the correct statement(s): 
1.  a and d
2.  a and c
3.  b and d
4.  c and d

(2) Hint: Use Gauss' Law.
Step 1: Find the net flux passing through the surface.
Gauss' law states that the total electric flux of an enclosed surface is given by qε0 where q is the charge enclosed by the surface. Thus, from the figure,
Total charge inside the surface is = Q - 2Q = -Q
Total flux through the surface of the sphere =-Qε0
Step 2: Find the flux due to the 5Q charge.
Now, considering charge 5Q. Charge 5Q lies outside the surface, thus it makes no contribution to electric flux through the given surface.