sharpen one´s brain/wits

become more mentally alert, able, inventive or cunning

A silent person reserves all this energy and utilises it for a better purpose, be
it to sharpen his brain or memory power for which all the educated yearn for.  Google

Adversity merely serves to sharpen his
wits and he is always busy cooking up some scheme. Google

Petruchio is the kind of man who would want a mate with similar qualities
to his own to challenge him, sharpen his wits and keep his interest.  Google

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