Assuming all bulbs are identical, rank the brightnesses of the bulbs, from brightest to dimmest.

For the branch containing A, B and C.Req =3R2Current in A : I1=EReq =  2E3RCurrent in each of B and C = I'1=I12 =  E3RFor the branch containing D, E, F, G and H:Req =7R3Current through D and H: I2=3E7RCurrent through each of E, F and G:I'1=I23 =  E7R   Since  I1  > I2 >  I'1 >  I'A > D = H > B = C > E = F = G