In an examination, a student scores 3 marks for every correct answer and looses 1 marks for every wrong answer. A student attempted all the 120 questions and scored 320 marks. Find the number of questions, he answered incorrectly.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 10
Let:
$x$ = number of correct answers
$y$ = number of wrong answers
We are told:
$x+y=120$ (total questions)
and the scoring rule gives:
$3x−1y=320$
Now solve these two equations.
From the first equation:
$y=120−x$
Substitute into the second:
$3x−(120−x)=320$
Simplify:
$3x−120+x=320$
$4x=440$
$x=110$
Hence,
$y=120−110=10$
Number of incorrect answers = 10