#### Answer

Choice D. The greatest current goes through R5.

#### Work Step by Step

Resistors R1 and R2 are in parallel, and each carries half of the current from the battery.
R3 and R4 are in series and this series combination has twice the resistance of R5. Since the R3/R4 combination is in parallel with R5, $\frac{1}{3}$ of the current from the battery passes through the series combination, and the other $\frac{2}{3}$ passes through R5.