Let

be the voltage at a point between the two leftmost resistors in the figure. There are only two resistors that are on horizontal line segments. Let

the voltage at a point between them. Let

be the voltage at a point between two rightmost resistors in the figure. Then, using Kirchoff's junction rule, we have the following equations

When we multiply both sides of these equations by

and then simplify, we obtain

The first two equations, when subtracted, imply that

. Plugging this into equation (3) gives

We can plug in

(from equation (1)) to solve for


and then plug this back into equation (4) to get


So,

and the current through the battery is

Therefore, answer (D) is correct.