  The $b\tau j \etslash$ signal at the ongoing LHC experiments is simulated
with Pythia in the mSUGRA and other models of SUSY breaking. Special attention
is given on the compatibility of this signature with the low mass neutralino
dark matter (LMNDM) scenario consistent with WMAP data. In the mSUGRA model the
above signal as well as the LMNDM scenario are strongly disfavoured due to the
constraints from the on going SUSY searches at the LHC. This tension, however,
originates from the model dependent correlations among the parameters in the
strong and electroweak sectors of mSUGRA. That there is no serious conflict
between the LMNDM scenario and the LHC data is demonstrated by constructing
generic phenomenological models such that the strong sector is unconstrained or
mildly constrained by the existing LHC data and parameters in the electroweak
sector, unrelated to the strong sector,yield DM relic density consistent with
the WMAP data. The proposed models, fairly insensitive to the conventional SUSY
searches in the jets + $\etslash$ and other channels, yield observable signal
in the suggested channel for $\lum \gsim 1 \ifb$ of data. They are also
consistent with the LMNDM scenario and can be tested by the direct dark matter
search experiments in the near future. Some of these models can be realized by
non-universal scalar and gaugino masses at the GUT scale.
