  The inclusive neutrino/antineutrino-induced charged and neutral current
reaction cross-sections in $^{12}C$, $^{16}O$, $^{40}Ar$, $^{56}Fe$ and
$^{208}Pb$ in the energy region of supernova neutrinos/antineutrinos are
studied. The calculations are performed in the local density approximation
(LDA) taking into account the effects due to Pauli blocking, Fermi motion and
the renormalization of weak transition strengths in the nuclear medium. The
effect of Coulomb distortion of the lepton produced in the charged current
reactions has also been included. The numerical results for the energy
dependence of the cross-section $\sigma(E)$ as well as the flux averaged
cross-section and event rates for the charged lepton production in the case of
some supernova neutrino/antineutrino fluxes recently discussed in the
literature have been presented. We have also given the flux-averaged angular
and energy distributions of the charged leptons corresponding to these fluxes.
