  We report a transport study on Pd$_3$In$_7$ which displays multiple Dirac
type-II nodes in its electronic dispersion. Pd$_3$In$_7$ is characterized by
low residual resistivities and high mobilities, which are consistent with
Dirac-like quasiparticles. For an applied magnetic field $(\mu_{\text{0}} H)$
having a non-zero component along the electrical current, we find a large,
positive, and linear in $\mu_{\text{0}} H$ longitudinal magnetoresistivity
(LMR). The sign of the LMR and its linear dependence deviate from the behavior
reported for the chiral-anomaly-driven LMR in Weyl semimetals. Interestingly,
such anomalous LMR is consistent with predictions for the role of the anomaly
in type-II Weyl semimetals. In contrast, the transverse or conventional
magnetoresistivity (CMR for electric fields $\textbf{E} \bot \mu_{\text{0}}
\textbf{H}$) is large and positive, increasing by $10^3-10^4$ \% as a function
of $\mu_{\text{0}}H$ while following an anomalous, angle-dependent power law
$\rho_{\text{xx}}\propto (\mu_{\text{0}}H)^n$ with $n(\theta) \leq 1$. The
order of magnitude of the CMR, and its anomalous power-law, is explained in
terms of uncompensated electron and hole-like Fermi surfaces characterized by
anisotropic carrier scattering likely due to the lack of Lorentz invariance.
