# 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?

Given that, score of Sona = 20

Correct answers by Sona = 10

Sona attempted all question.

The score on 1 correct answer = 3

The score on 1 incorrect answer = -1

(i). Let number of incorrect answers attempted = x

So, we can say that

Sona’s total score = 3 × (Correct answer) + (-1) × (Incorrect answer)

20 = 3 × 10 + (-1) × y

20 = 30 – y

y = 30 – 20

y = 10

Thus, incorrect answers she attempted were 10.

(ii). Sona attempted each and every question in the test.

Total questions in the test = Total questions attempted by Sona

Total questions in the test = 10 + 10

Total questions in the test = 20

Thus, questions in the test = 20

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