. In a test containing 20 questions, 3 marks are given for every correct answer, -1 mark for every incorrect answer and 0 for questions which were not attempted. (a) Susan gets 5 correct and 6 incorrect answers. What is her score?
(b) Ronnie attempted all 20 questions. He got 8 correct. What is his total score?
(c) Sam gets 6 incorrect questions and did not attempt 4 questions. What is his total score?
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(b) Ronnie attempted all 20 questions. He got 8 correct. What is his total score?
(c) Sam gets 6 incorrect questions and did not attempt 4 questions. What is his total score?
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Answer and explanation:
Total number of questions, n = 20
Marks given for correct answer, c= 3
Marks for incorrect answer, i = -1
Marks for unattempted questions, u = 0
a) Susan
Number of correct answers = 5
Number of incorrect answers = 6
Number of unattempted questions = 20 - 5 - 6
= 20 - 11 = 9
Marks for correct answer, m₁ = 5c = 5 × 3 = 15
Marks for incorrect answer, m₂ = 6i = 6(-1) = -6
Marks for unattempted questions, m₃ = 9u = 9(0) = 0
Total marks Susan get = m₁ + m₂ + m₃
= 15 + (-6) + 0
= 15 - 6 = 9
= 9 marks
Her score is 9 marks.
b) Ronnie
Total questions attempted = 20
Number of correct answers = 8
Number of incorrect answers = 20 - 8 = 12
Marks for correct answer, m₁ = 8c = 8 × 3 = 24
Marks for incorrect answer, m₂ = 12i = 12(-1) = -12
Total marks Susan get = m₁ + m₂
= 24 - 12 = 12 marks
His total score is 12 marks.
c) Sam
Number of incorrect answers = 6
Number of unattempted questions = 4
Number of correct answers = 20 - 6 - 4
= 10
Marks for correct answer, m₁ = 10c = 10 × 3 = 30
Marks for incorrect answer, m₂ = 6i = 6(-1) = -6
Marks for unattempted questions, m₃ = 4u = 4(0) = 0
Total marks Susan get = m₁ + m₂ + m₃
= 30 + (-6) + 0
= 30 - 6
= 24 marks
His total score is 24 marks.
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