Question

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 1

Let’s say Sona attempted x incorrect answers. Since she got 10 correct answers, she scored 10 * 3 = 30 marks from the correct answers. From the incorrect answers, she lost x * 1 = x marks. So her total score is 30 - x. We know that her total score is +20, so we can set up the equation: 30 - x = 20. Solving for x, we get x = 10.

So, Sona attempted 10 incorrect answers.

The total number of questions in the test would be the sum of the correct and incorrect answers, which is 10 + 10 = 20 questions.