The dynamical similarity which exists between the λ-mode excited bbq baryons (q refers to the u, d, and s quarks) and the bq mesons inspired us to carry out a combined study of their spectroscopy. In this work, the masses and strong decays of these low-lying b q and bbq states are studied by the same theoretical methods, and the dynamical similarity which is implied in their mass spectra and strong decays are also discussed. The recent discovered bq states, including the B J (5840), B J (5970), B sJ (6064), and B sJ (6114), are analyzed. According to our result, the B J (5840) could be assigned as a 2S state, while the B J (5970) could be regarded as a member of the 1D(2 − , 3 − ) jq=5/2 doublet. The B sJ (6064) and B sJ (6114) are probably the D-wave states. Especially, they could be explained as the members of the 1D(1 − , 2 − ) jq=3/2 and 1D(2 − , 3 − ) jq=5/2 doublets, respectively. The predicted masses and decay properties of other unknown bq/bbq states may provide useful clues to the future experiment.