Annoys one day after day going through the questions (7)
I believe the answer is:
riddles
'the questions' is the definition.
(riddle is a kind of question)
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for riddles that I've seen before include "Brain-teasers and coarse sieves" , "Conundrums" , "Funny little teasers" , "useful for coarse sorts?" , "Questions designed to test ingenuity" .)