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We study the $e^{\pm}\mu^{\mp} + E^{miss}_T$ and $l^+l^- + E^{miss}_T$signatures $(l = e, \mu)$ for different values of $\tan\beta$ in the mSUGRAmodel. With $\tan\beta$ rising, we observe a characteristic change in the shapeof dilepton mass spectra in $l^+l^- + E^{miss}_T $ versus $e^{\pm}\mu^{\mp}$final states reflecting the decrease of $\tilde{\chi}^0_2 \to l^+l^-\tilde{\chi^0_1}$ branching ratio. We also study the non mSUGRA modificationsof the CMS test point LM1 with arbitrary relations among gaugino and higgsinomasses. For such modifications of the mSUGRA test point LM1 the number oflepton events depends rather strongly on the relations among gaugino andhiggsino masses and in some modifications of the test point LM1 the signatureswith leptons and $E_{T}^{miss}$ do not lead to the SUSY discovery and thesingle SUSY discovery signature remains the signature with $n \geq 2 jets +E^{miss}_T + no leptons$.

Using the $e^\pm \mu^\mp + E^{miss}_T$ and $l^+l^- + E^{miss}_T$ Signatures in the Search for Supersymmetry and Constraining the MSSM model at LHC