In an examination which had 200 questions, students score 4 marks for every correct answer and lose 1 mark for every wrong answer. A student attempted all the 200 questions and scored 200 marks. The n

Question

In an examination which had 200 questions, students score 4 marks for every correct answer and lose 1 mark for every wrong answer. A student attempted all the 200 questions and scored 200 marks. The number of questions, student answered correctly in the examination, is:

FirstInTest · Accepted Answer

Correct answer: C. Let x be the number of correct answers.
Then, the number of wrong answers is $200 - x$.
Marks for correct answers = $4x$
Marks for wrong answers = $-1(200 - x) = -200 + x$
Total score = $4x - 200 + x = 200$
$5x - 200 = 200$
$5x = 400$
$x = 80$.
So, the number of questions answered correctly is 80.

Related Questionsin Mathematics

Practice More CUET UG Questions