Question

In an examination, a student scores $4$ marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all $75$ questions and secures $125$ marks, the total number of questions he attempted correctly is

• A. $35$
• B. $40$
• C. $42$
• D. $46$

Answer 1

The correct option is B $40$

Let total number of correct questions = $x$
Then, $125=4x+(75-x)\times (-1)$
$125=4x-75+x$
$200=5x$
$x=40$
Thus, 40 questions are correct.