like a gut feeling (9)
(Other definitions for intuitive that I've seen before include "Based on feelings" , "Sensed by something other than reason" , "Innate" , "Using hunch" , "easy to understand" .)
(Other definitions for visceral that I've seen before include "Instinctive - not reasoned" , "Appertaining to the guts" , "Relating to the guts" , "Like the gut feelings" , "Relating to basic human instincts rather than the intellect" .)