sagacity

noun2

1. •
   The quality of being sage, wise, or able to make good decisions; the quality of being perceptive, astute or insightful.

   • Young ladies have great penetration in such matters as these; but I think I may defy even your sagacity, to discover the name of your admirer. — 1813
2. •
   (no longer used) Keen sense of smell.

   • […] this Beast [the Ichneumon] is not only enemy to the Crocodile and Asp, but also to their Egs, which she hunteth out by the sagacity of her nose, and so destroyeth them […] — 1607