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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.(i) How many incorrect answers has she attempted?(ii) How many questions were given in the test? |
Answer» (i) Total marks scored by Sona = 20 Total correct answers = 10 ∴ Marks for correct answers = 10 × 3 = 30 but she got 20 marks. ∴ Marks for incorrect answers = 20 – 30 = – 10 -1 mark is given for every incorrect answer. ∴ Total incorrect answers = -10/-1 = 10 (ii) Total correct answers = 10 Total incorrect answers = 10 (From (i) part) ∴ Total questions given in the test = 10 + 10 = 20 |
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