The maximum possible score in an exam was 80 and all questions carried equal weightage. For each correct answer 4 marks were awarded whereas for each wrong answer 1 mark was deducted. For no answer, the marks remained unchanged. A student got 57 marks in which he failed to attempt only 3 questions. Answer the number of questions he got correct as a percentage of total number of questions.
If each correct answer was worth 4 points, and the maximum score was 80, then there must have been 20 questions.
if he got x right and y wrong, we have, and only attempted 17 of the 20 questions, then
x+y = 17
4x-y = 57
5x = 74
Huh? x must be an integer. So Look for a typo.
In any case, if x turned out to be 15, then he got 15/20 = 75% correct
Yes it was typo.instead of 3 unanswered it was 2
Yes he failed to attempt 2 questions.thanks
To find the number of questions the student got correct, we need to determine the number of questions the student attempted and the number of questions they answered correctly.
Let's assume the total number of questions in the exam is 'n'.
Since the student failed to attempt only 3 questions, it means they attempted (n - 3) questions.
To calculate the number of correct answers, we need to consider the score. Each correct answer gives 4 marks, while each wrong answer deducts 1 mark. Not answering a question does not affect the score.
The student got a total of 57 marks, so we can set up the following equation using the information above:
4 * (number of correct answers) - 1 * (number of wrong answers) = 57
Since the student did not answer 3 questions, the number of wrong answers equals the number of unanswered questions (3), which means we can rewrite the equation as:
4 * (number of correct answers) - 1 * 3 = 57
Simplifying the equation:
4 * (number of correct answers) = 57 + 3
4 * (number of correct answers) = 60
Dividing both sides of the equation by 4:
(number of correct answers) = 60 / 4
(number of correct answers) = 15
Thus, the student got 15 questions correct out of the total number of questions attempted, which is (n - 3).
Now, we need to find the percentage of questions correct out of the total number of questions (n).
Percentage of questions correct = (number of correct answers) / (n - 3) * 100
Substituting the values:
Percentage of questions correct = 15 / (n - 3) * 100
Therefore, the number of questions the student got correct as a percentage of the total number of questions is 15 / (n - 3) * 100.