Among the Sensorites of the Sense Sphere, the Second Elder served as advisor to the First Elder. (TV: The Sensorites)
In the Intrusion Counter-Measures Group and UNIT, the scientific advisor advised the military forces on scientific phenomena. (TV: Spearhead from Space, Remembrance of the Daleks)
Among the many theories as to the true nature of the Eternal Dalek was that it was an advisor to the Supreme Dalek, being linked to the Time Vortex and able to offer insights into potential futures. (PROSE: Dalek: The Astounding Untold History of the Greatest Enemies of the Universe)