Question

Next day in class, Ted got his Math exam corrected paper. For each correct answer, $5$ marks were rewarded and for each wrong answer, $2$ marks were cut. Out of the questions Ted attempted, $11$ were correct. Which of the following expressions give the number of questions answered incorrectly by Ted if he scored $41$ marks?

• A. [41+(11×5)]/2
• B. [41-(11×5)]/2
• C. [41+(11×5)]/-2
• D. [41-(11×5)]/-2

Answer 1

The correct option is D

[41-(11×5)]/-2

Here,

$\text{Total marks obtained for correct answers}$ $=11\times 5$

$\text{Total marks obtained = 41}$

$\text{Marks lost for incorrect answers = 41 – (11}\times 5)$

$\text{For each wrong answer, marks lost = 2}$

$\text{In other words, for each wrong answer, marks obtained = -2}$ [Negative marks]

$\text{So, number of questions answered incorrectly}$ $=\frac{41-(11\times 5)}{-2}$