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Question
In a true-false test containing 50 questions, a student is to be awarded 2 marks for every correct answer and –2 for every incorrect answer and 0 for not supplying any answer. If Yash secured 94 marks in a test, what are the possibilities of his marking correct or wrong answer?
Solution
Since Yash scored 94 marks.
So, minimum correct answer = `"Total marks"/"Marks for 1 correct answer" = 94/2` = 47
Hence, there are two possibilities:
- 47 correct answers and 3 unattempted.
- 48 correct answers, 1 unattempted and 1 wrong answer.
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In a test, +3 marks are given for every correct answer and –1 mark are given for every incorrect answer. Sona attempted all the questions and scored +20 marks though she got 10 correct answers.
- How many incorrect answers has she attempted?
- How many questions were given in the test?
