To solve for the points score on a quiz question:
There are 25 question in a quiz

(a) The maximum score you could get is 75

(b) The minimum score you could get is -50
cause if you keep on getting the wrong answer you get -2
25*(-2) questions = -50 points
Therefore It is possible to finish the quiz with a negative score.
(c) 10 are correct question = 10*3=30 points
15-10 incorrect questions= 5 * (-2)=-10
for every untouch questions 0 points
Total points he obtained=(-10+30)= 20 points
(d) 6 are correct questions= 6*3=18 points
21-6 incorrect questions=15*(-2)=-30
for every untouch questions 0 points
Total points he obtained=(-30+18)= - 12 points
Therefore It is possible to finish the quiz with a negative score.