
klug
clever
Intelligent and quick to understand; able to think, learn, and solve problems well.
Sie ist eine sehr kluge Schülerin mit ausgezeichneten Noten.
She is a very clever student with excellent grades.
clever / wise
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clever
Intelligent and quick to understand; able to think, learn, and solve problems well.
Sie ist eine sehr kluge Schülerin mit ausgezeichneten Noten.
She is a very clever student with excellent grades.

wise
Based on reason and careful thought; wise and forward-looking with regard to an action or decision.
Es war eine kluge Entscheidung, das Geld zu sparen, anstatt es auszugeben.
It was a wise decision to save the money instead of spending it.

to make no sense of something
A fixed expression meaning that one cannot understand or figure out something or someone.
Aus dieser komplizierten Anleitung werde ich einfach nicht klug.
I simply can't make any sense of these complicated instructions.
When 'klug' (clever) refers to a person, it means intelligent. When it refers to an action, an idea, or a decision, it means sensible or wise.
Mein Großvater ist ein sehr kluger Mann.
My grandfather is a very clever man.
A very common construction is 'es ist klug, etwas zu tun' (it is wise to do something). It is used to evaluate an action as sensible.
Es ist klug, sich vor einer langen Reise gut zu informieren.
It is wise to get well informed before a long trip.
The expression 'aus jemandem/etwas nicht klug werden' means that one cannot understand a person or thing. It is always formed with the preposition 'aus' and the dative.
Ich lese den Text schon zum dritten Mal, aber ich werde daraus einfach nicht klug.
I'm reading the text for the third time, but I still simply can't make sense of it.
bright / light
Hell and klug can both describe an intelligent person. Hell is colloquial and is especially used in expressions such as „ein heller Kopf“ (a bright mind). Klug is the generally applicable choice when expressing intelligence or good problem-solving skills neutrally.

Lena ist klug und löst neue Aufgaben schnell.
Lena is clever and solves new tasks quickly.
Lena ist ein heller Kopf und versteht neue Aufgaben schnell.
Lena is a bright mind and understands new tasks quickly.