Question

In a class test containing 10 questions, 5 marks are awarded for every correct answer and (-2) marks are awarded for every incorrect answer and 0 for questions not attempted.

(i) Mohan gets four correct and six incorrect answers. What is his score?

(ii) Reshma gets five correct answers and five incorrect answers, what is her score?

(iii) Heena gets two correct answers and five incorrect answers out of seven questions she attempts. What is her score?

Answer 1

In a class test containing $10$ questions, $5$ marks are awarded for every correct answer and $(-2)$ for each wrong and $0$ for not attempted questions. We will just forget unattempted questions as it will give her $0$ marks

So let us say for any student who gave $x$ right questions and $y$ wrong questions then total marks is given as $5x+(-2)y$ i.e $5x-2y$ total marks.

1) Mohan gets 4 correct and 6 incorrect. So, total score

$5\times 4-2\times 6$

= 20 - 12 = $8$ marks

2)Reshma gets 5 correct anf 5 incorrect. So, total marks scored is equal to

$5\times 5-2\times 5$

= 25 - 10 = $15$ marks

3)Heena gets 2 correct and 5 incorrect. She attempts only 7 questions so for the remaining 3 questions she will score zero marks.

So, total marks scored by Heena is

$5\times 2-2\times 5+0$

= 10 - 10 = $0$ marks