105
Tara scored $40$ marks in a test, getting $3$ marks for each right answer and losing $1$ mark for each wrong answer. Had $4$ marks been awarded for each correct answer and $2$ marks been deducted for each wrong answer, then Tara would have scored $50$ marks. Assuming that Tara attempted all questions, find the total number of questions in the test.
Show SolutionHide Solution↓
Let number of correct answers be $x$ and
number of incorrect answers be $y$
$3x - y = 40$
$4x - 2y = 50$
Solving, we get $x = 15, y = 5$
$\therefore$ Total number of questions $= 20$
number of incorrect answers be $y$
$3x - y = 40$
$4x - 2y = 50$
Solving, we get $x = 15, y = 5$
$\therefore$ Total number of questions $= 20$