Question

In a class test containing ten questions, $5$marks are awarded for every correct answer and $(-2)$ are awarded for every incorrect answer and $0$ for the questions not attempted. Ram gets two correct and five incorrect out of seven questions he attempts. What is his score?

Answer 1

Step 1: Finding the Ram's correct answers score.

Ram gets $2$ correct answers.

Marks for one correct answer $=5$

So, marks for $2$ correct answers

$$\begin{gathered} =2\times 5 \\ =10 \end{gathered}$$

Step 2: Finding Ram's incorrect answer score.

Ram gets $5$ incorrect answers.

Marks for one incorrect answer $=-2$

So, Marks for $5$ incorrect answers

$$\begin{gathered} =5\times (-2) \\ =-10 \end{gathered}$$

Step 3: Finding Ram's unattempted questions score.

Mark for one unattempted question $=0$

Number of questions he does not attempt out of $10$ $=10-$Number of correct answers $-$Number of incorrect answers

$$\begin{gathered} =10-2-5 \\ =3 \end{gathered}$$

So, Marks for $3$ unattempted questions

$$\begin{gathered} =3\times 0 \\ =0 \end{gathered}$$

Step 4: Finding the final score of Ram.

Ram's final score,

$$\begin{gathered} =10-10+0 \\ =0 \end{gathered}$$

Hence, Ram's final score is $0.$