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Question

In a class test (+3) marks are given for every correct answer and (2) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores (5) marks in this test, though she has got 7 correct answers How many questions has she attempted incorrectly.

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Solution

Given, In a class test, the marks allotted is +3 for each correct answer,
2 for each incorrect answer and no marks for not attempting any question.
1) Since, Radhika final score =20 marks, in which number of correct answers are =12
So, the marks obtained for 12 correct answers =12×3
=36 marks as 3 marks for each correct answer.
Since, Negative marks = marks for all correct answers final score
Thus, negative marks =3620=16
Therefore, she got 16 marks negative.
Since, 2 marks for each incorrect answer.
Therefore, she made 162=8 incorrect answers.

2) Given, Mohini final score =5, in which number of correct answer are 7.
Mohini score for all correct answers =7×3=21 marks, as 3 marks for each correct answer.
Since, Negative marks= marks for correct answersfinal score
=21(5)
=21+5
=26 marks.
Thus, she got 26 marks negative.
Since, 2 marks for each incorrect answer.
Therefore, she made 262=13 incorrect answers.



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