Sagacity

The conduct of the criminal investigation has been left in the experienced hands of Inspector Lestrade, of Scotland Yard, who is following up the clues with his accustomed energy and sagacity.

I fear my loose tongue has belied any pretentions I had of sagacity.

Tom isn't known for his sagacity.

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.

Immediately after the meal, when he was alone again, he set to work to examine Drayton’s papers, of which there lay quite a mass on the table near him and, leaning toward the lamp on his elbow, he weighed the meaning of each with a certain sideward sagacity of gaze, a sagacity that smiled in its self-sureness. Swiss Family Robinson- "....near the mouth of a creek, towards which all our geese and ducks betook themselves; and I, relying on their sagacity, followed in the same course."

See Thesaurus:wisdom

[…] 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 […]