  The present work studies the Ghatak-Sherrington (GS) model with the presence
of a longitudinal magnetic random field (RF) $h_{i}$ following a bimodal
distribution. The model considers a random bond interaction $J_{i,j}$ which
follows a Gaussian distribution with mean $J_0/N$ and variance $J^2/N$. This
allows us to introduce the bond disorder strength parameter $J/J_0$ to probe
the combined effects of disorder coming from the random bond and the discrete
RF over unusual phase transitions known as inverse transitions (ITs). The
results within a mean field approximation indicate that these two types of
disorder have complete distinct roles for the ITs. They indicate that bond
disorder creates the necessary conditions for the presence of inverse freezing
or even inverse melting depending on the bond disorder strength, while the RF
tends to enforce mechanisms that destroy the ITs.
