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Asked by Sabna Last Modified
Answer Marks obtained for 1 right answer = +3
Marks obtained for 1 wrong answer = −2
(i) Marks scored by Radhika = 20
Marks obtained for 12 correct answers = 12 × 3 = 36
Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers
= 20 − 36 = −16
Marks obtained for 1 wrong answer = −2
Thus, number of incorrect answers = (−16) ÷(−2) = 8
Therefore, she attempted 8 questions wrongly.
(ii) Marks scored by Mohini = −5
Marks obtained for 7 correct answers = 7 × 3 = 21
Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers
= − 5 − 21 = −26
Marks obtained for 1 wrong answer = −2
Thus, number of incorrect answers = (−26) ÷(−2) = 13
Therefore, she attempted 13 questions wrongly.
(iii) Total marks scored by Rakesh = 18
Number of questions attempted = 16
(Number of correct answers)(3) + (Number of incorrect answers)(−2) = 18
⇒(Number of correct answers)(3) + (16 − Number of correct answers)(−2) = 18
⇒(Number of correct answers)(3) + −32 + 2(Number of correct answers) = 18
⇒(Number of correct answers)(5) + −32 = 18
⇒(Number of correct answers)(5) = 18 + 32 = 50
⇒ Number of correct answers = 10
∴Number of incorrect answers = 16 − 10 = 6
∴Total number of correct and incorrect answers scored by Rakesh is 10 and 6 respectively.
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