During the game you will have to complete mini games as a part of the main story, this being one of them. Simply complete it, and the achievement will unlock. You should have no problems. ^^
The correct answers if you want them are
*** Spoiler - click to reveal ***Question 1 (her name): option 2 "You never told me."
Question 2 (eye color): option 2 "Red"
Question 3 (do you find me pretty?): option 2 "it doesn't matter."
Question 4 (what data does she block?): option 1 "none local"
Question 5 (who is her admin?): option 3 "Idio Baka"
Question 6 (who is the assistant admin?): option 2 "Brohoof19"
Question 7 (what room number are you in?): option 2 "Room #4"
Have fun breaching her security ;)