Question

My little sister kept ______ me about it, asking me everyday if I'd take her to the mall. (to annoy, to pester) A) bugging B) buggy C) spiders D) spidering E) bugs

Answer 1

Thank you for asking the question!
The correct option is A.
My sister kept bugging me about it, asking me every day I'd take her to the mall.
Bugging means to annoy, distress or bother someone. so it completely fits in this context. This sentence indicates that her sister was continuously bothering, bugging or annoying her. 
Hope it helps.