We present measurements of partial branching fractions of B -> K(+) X B -> K(0)X and B -> pi(+) X where X denotes any accessible final state above the endpoint for B decays to charmed mesons specifically for momenta of the candidate hadron greater than 2.34 (2.36) GeV for kaons (pions) in the B rest frame. These measurements are sensitive to potential new-physics particles which could enter the b -> s(d) loop transitions. The analysis is performed on a data sample consisting of 383 X 10(6)B (B) over bar pairs collected with the BABAR detector at the PEP-II e(+)e(-) asymmetric energy collider. We observe the inclusive B -> pi(+) X process and we set upper limits for B -> K(+) X and B -> K(0)X. Our results for these inclusive branching fractions are consistent with those of known exclusive modes and exclude large enhancements due to sources of new physics.
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