A: what are your plans for next holiday ?
(will take - are going to take - am taking) a course in English.
Could anyone choose the right answer?
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You have several excellent comments to your original post (such as from CarSmack, JMB, CopperKettle and F.E.) and much of what I am about to say is mirrored there.
So to bring it back to your original question, "will take" is grammatically correct and matches the question's tense most closely, "am taking" is grammatically correct, and "are going to take" is grammatically incorrect.