vicky Likes the book -------cover is with the writer's name.

同学,很高兴回答你的问题
正确答案：确实是C.whose
即：Vicky likes the book whose cover is with the writer's name.
翻译：维奇喜欢这本带作者名字的书.
解析：这是一个定语从句,whose 做引导词引导定语从句的特点是先行词在从句中做定语,也可以理解为,先行词和从句中的名词间存在所属关系.在非限定性定语从句当中,whose= the + 名词 + of + which,所以这句话也可以写成
Vicky likes the book,the cover of which is with the writer's name.
有不明白的请继续追问,