SOLUTION: A test contains 200 multiple choice questions. The marking rule is designed such that 2 marks are awarded for each correct answer and 1 mark deducted for each wrong answer. If ther

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Question 1005265: A test contains 200 multiple choice questions. The marking rule is designed such that 2 marks are awarded for each correct answer and 1 mark deducted for each wrong answer. If there are N questions answered correctly by a student, find their final score in terms of N.
Thanks!

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
If the student answers all of the questions:
.
N=number correct
2N=points for correct answers
200-N=number incorrect
Points deducted for incorrect=-1(200-N)=-200+N
F=final score
F=2N-200+N
F=3N-200
This looks strange, but consider:
When he starts, the student has no correct answers, so he loses
1 point for all questions (-200). For each question he answers
correctly (N), he gets 2 points and also does not lose a point
for being incorrect (thus 3 points for each correct answer, or (3N)).

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