Circuit Analysis Question (Electrical Engineering majors holla)

[optimus_prime]

Alright so finished up my exam in electricity and magnetism and was kind of thrown off by a question.

I'm 90% certain it was a trick question of sorts but was hoping some of the 2p2 brains could confirm/deny.

Here's the question as I remember it:



The question asked for the potential difference across R1 and R4, the current magnitude and direction across R3, and the source current.

My buddy found the equivalent resistance:

(1/R1+1/R2)^-1+R3+(1/R4+1/R5)

but I'm damn near positive the whole "path of least resitance" thing means that the current wouldn't even pass through R1, R2, R4 and R5 and would instead take this path:



and that I1 and I2 would be 32/R3 and V1 and V2 would both be 32V.

Any help appreciated.