The 35 Cl(n,p) and 35 Cl(n,α) cross sections at incident neutron energies between 2.42-2.74 MeV, were measured using the Berkeley High Flux Neutron Generator. The cross sections for 35 Cl(n,p) were more than a factor of three to five less than all of the values in the neutron absorption data libraries, while the 35 Cl(n,α) cross sections are in reasonable agreement with the data libraries. The measured energy-differential cross section is consistent with a single resonance with a width of 293(46) keV. This result suggests that, despite the high incident neutron energy, any attempt to model (n,x) cross sections in the vicinity of the N = Z = 20 shell gap requires a resolved resonance approach rather than Hauser-Fesbach. I.