In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If she/he attempts all 60 questions and secures 130 marks, the number of questions she/he attempts wrongly, are?

Let the number of correct answers be \(x\) and wrong answers be \(y\).

Total questions: \[ x + y = 60 \tag{1} \] Marks rule: \(4\) marks for correct and \(-1\) mark for wrong, total \(130\). \[ 4x - y = 130 \tag{2} \] From (1): \(y = 60 - x\). Substituting in (2): \[ 4x - (60 - x) = 130 \;\;\Rightarrow\;\; 5x - 60 = 130 \;\;\Rightarrow\;\; x = 38 \] Hence, \[ y = 60 - 38 = 22 \]