What figure(s) of speech are used in the given sentence? 

My beloved is like a red red rose.

When a 'likeness' is established between two seemingly unrelated aspects (here, 'my beloved' and 'a red red rose'), the figure of speech is referred to as a simile. Further, when a word or a set of letters is repeated to emphasise on the poetic and/or literary meaning (such as 'red red'), the figure of speech is referred to as alliteration. The correct set of figures of speech in the given sentence is therefore simile and alliteration. Option B is the correct answer.