  We compute explicitly the Killing spinors of some ten dimensional
supergravity solutions. We begin with a 10d metric of the form
$\RR^{1,3}\times{\cal Y}_6$, where ${\cal Y}_6$ is either the singular conifold
or any of its resolutions. Then, we move on to the Klebanov-Witten and
Klebanov-Tseytlin backgrounds, both constructed over the singular conifold; and
we also study the Klebanov-Strassler solution, built over the deformed
conifold. Finally, we determine the form of the Killing spinors for the
non-commutative deformation of the Maldacena-N\'u\~nez geometry.
