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# 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 Sakib Nazmus
1 month, 1 week 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{align} (100-x)-0.4x & =65 \\ 1.4x & = 35 \\ \implies x & = 25 \end{align}

- 1 month, 1 week 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

- 1 month, 1 week ago

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

- 1 month ago

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

- 1 month ago

I mean $$x=135/2.4=56.25$$

- 1 month ago

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

- 1 month 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.

- 1 month 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?

- 1 month ago

What is the mark for each correct answer?

- 1 month, 1 week 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.

- 1 month, 1 week ago

- 1 month, 1 week ago

Staff - 1 month, 1 week ago

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

- 1 month, 1 week ago