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5 Answers

4 votes
4 votes

Answer should be Off .

No one gonna say take your shoes on when you enter the room.

If we use with then it sounds incomplete sentence .

Most possible answer should be Off

2 votes
2 votes

To take off, when used in this context, is a separable phrasal verb. 
This means that if it's used with a noun or noun-phrase, such as "your shoes" the noun or noun-phrase can go either in the middle of the phrasal verb or at the end as in this question.

so option C should be correct.

but It's important to note that to take off is not always separable. When used in the context of aircraft or business it is inseparable:
"The plane took off"
"Business is really taking off this year".

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