In a test +3 are given for every correct answer and -1 mark 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?
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Step-by-step explanation:
let the number of questions sona attempted incorrectly be x.
sona's score =20.
10 questions×3 marks+x×(-2)marks =20.
30+(-2x)=20
30-20=2x (by transposing).
10=2x
10/2=x
5=x.
therefre she attept 5 questions incorrectly.
number of questions given in the test = number of questions sona attempted incorrectly +number of questions sona attempted correctly.
=10 + 5 .
= 15.
therefore there is 15 questions in examination.
hope it helps you.
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