Question

In an examination, a student scores $4$ marks for every correct answer and loses $1$ mark for every wrong answer. If he attempts in all $60$ questions and secures $130$ marks, the number of questions he attempts correctly, is ___

• A. $35$
• B. $38$
• C. $40$
• D. $42$

Answer 1

Answer: (B)

$38$

Let the number of questions attempted correctly be $x$.

Then, number of incorrect ones $=(60-x)$.
$\therefore 4x-1(60-x)=130$
$\Rightarrow 5x=190$
$\Rightarrow x=38$

So, number of questions student attempts correctly are $38$.