A search is performed for heavy particle pairs produced in collisions with 35 pb^−1 of data collected by the CMS detector in 2010 at the CERN Large Hadron Collider. The search is sensitive to generic SUSY models provided superpartner particles are kinematically accessible, with minimal assumptions on properties of the Lightest Superpartner Particle (LSP). The baseline selection is inclusive requiring only two or more reconstructed jets. The kinematic consistency of the selected events is tested against the hypothesis of heavy particle pair production using the dimensionless razor (R) variable. The new physics signal is characterized by a broad peak in the distribution of MR, where MR is an event-by-event indicator of the heavy particle scale.