teach vs. learn

[Mollo]

English Language Tests, Intermediate level

ESL/EFL Test #154 "English grammar and vocabulary questions", question 6

I was wondering if you could ......... me to play the violin?

(a) assist
(b) teach
(c) learn
(d) study

English Language Tests, Intermediate level

ESL/EFL Test #154 "English grammar and vocabulary questions", answer 6

I was wondering if you could teach me to play the violin?

Correct answer: (b) teach
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how can i use the verb teach . learn. study

[Gray]

I cannot teach you as I am not a teacher. But I have learned a lot from my teachers. And now, I am studying on my own.
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First lesson - English, not english. I, not i. ~A student of English