  The ATLAS and CMS experiments at the CERN LHC have collected about 20
$fb^{-1}$ of data each at the end of their 8 TeV run, and ruled out a huge
swath of parameter space in the context of Minimally Supersymmetric Standard
Model(MSSM). Limits on masses of the gluino ($\tilde{g}$) and the squarks of
the first two generations($\tilde{q}$) have been pushed to the TeV range. Light
third generation squarks namely stop and sbottom of sub-TeV masses, on the
other hand, are still allowed by their direct search limits. Interestingly, the
discovery of a Standard Model(SM) higgs boson like particle with a mass of
$\sim$ 125 GeV favours a light third generation which is also motivated by
naturalness arguments. Decays of stop and sbottom quarks can in general produce
a number of distinct final states which necessitate different search strategies
in the collider experiments. In this paper we, on the other hand, propose a
general search strategy to look for third generation squarks in the final state
which contains a top quark in the sample along with two additional hard leptons
and substantial missing transverse momentum. We illustrate that a search
strategy using the dileptonic $M_{T2}$, the effective mass $m_{eff}$ and jet
substructure to reconstruct the hadronic top quark can be very effective to
reduce the SM backgrounds. With the proposed search strategy, we estimate that
the third generation squarks with masses up to about 800 GeV can be probed at
the 14 TeV LHC with a 100 $fb^{-1}$ data set. We also interpret our results in
two simplified scenarios where we consider the stop (sbottom) pair production
followed by their subsequent decay to a top quark and the second lightest
neutralino (lightest chargino). In this case also we find that stop (sbottom)
mass up to 1 TeV (0.9 TeV) can be discovered at the 14 TeV LHC with 100
$fb^{-1}$ integrated luminosity.
