# Examination

In an examination, you have to answer 100 questions and for each wrong answer, there will be a cut 0.4 mark from your actual marks.and your results say you get 65 marks, so how many wrong answers do you have?

Note:we get 1 mark for each right answer.

Note by Nazmus Sakib
2 years, 3 months ago

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Assuming we get 1 mark for each right answer before deduction, and let the number of questions wrongly answered be $x$. Then we have

\begin{aligned} (100-x)-0.4x & =65 \\ 1.4x & = 35 \\ \implies x & = 25 \end{aligned}

- 2 years, 3 months ago

@Chew-Seong Cheong Thanks a lot,now I understand it and If we say "we get 2 marks for each right answer" then the result of the number of questions wrongly answered will stay the same?I think the mark for each right answer is not necessary to know to get the amount of wrong answers

- 2 years, 3 months ago

200-x-0.4x=65, 135=1.4x. x is not a whole number, meaning that x does matter

- 2 years, 3 months ago

For 2 marks for each right answer, 200 is marks not the amount of question.and what do you mean by $x$? amount of right answers or amount of wrong answers?

- 2 years, 3 months ago

It should be $2(100-x)-0.4x = 65$. Then $x=56/25$

- 2 years, 3 months ago

I mean $x=135/2.4=56.25$

- 2 years, 3 months ago

@Chew-Seong Cheong so is it necessary to know the mark for each right answer to get the amount of wrong answers?

- 2 years, 3 months ago

No, if it is two marks there is no integer solution. We cannot have 56.25 wrong answers, right? Obviously, the right mark cannot be lower than 0.4. You must understand the equation instead of guessing.

- 2 years, 3 months ago

What is the mark for each correct answer?

- 2 years, 3 months ago

I've edited that "we get 1 mark for each right answer." although I think the mark for each right answer is not necessary to know to get the amount of wrong answers.

- 2 years, 3 months ago

- 2 years, 3 months ago

Staff - 2 years, 3 months ago

I was stuck at the beginning,didn't know how to start.

- 2 years, 3 months ago