Question
In a true$-$false test containing $50$ questions, a student is to be awarded $2$ marks for every correct answer and $-2$ for every incorrect answer and $0$ for not supplying any answer. If Yash secured $94$ marks in a test, what are the possibilities of his marking correct or wrong answer$?$

Answer

Since, Yash scored $94$ marks.
So, minimum correct answer $=\frac{\text{Total marks}}{\text{Marks for 1 correct answer}}$
$=\frac{94}{2}$
$=47$
Hence, there are two possibilities:
$i. 47$ correct answers and $3$ unattempted.
$ii. 48$ correct answers, $1$ unattempted and $1$ wrong answer.

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