Question

In a class test 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) Reshma gets 6 correct answers and 4 incorrect answers. What is her

score?

(ii) Heena gets two correct and four incorrect answers out of seven questions

she attempts.


please give full solution​

Answer 1

$\bf \underline{ \underline{\maltese\:Given} }$

$\sf \implies Marks \: awarded \: for \: correct \: answer = + \: 5 \: marks$

$\sf \implies Marks \: awarded \: for \: incorrect \: answer = - \: 2 \: marks$

$\sf \implies Marks \: for \: questions \: not \: attempted = 0 \: marks$

$\sf \implies Total \: questions \: in \: the \: test = 10$

$\bf \underline{ \underline{\maltese\:To \: find } }$

How much marks Reshma will score if she have done 6 correct answers and 4 incorrect answers.

How much marks Heena will score if she have done 2 correct and 5 incorrect answers. [Correct question]

$\bf \underline{ \underline{\maltese\:Solution } }$

$\sf (i). \: Correct \: answers \: of \: Reshma = 6$

$\sf \implies Marks \: for \: 6 \: correct \: answers = 6 \times ( + 5) = + 30$

$\sf Incorrect \: answers \: of \: Reshma = 4$

$\sf \implies Marks \: for \: 4 \: incorrect \: answers = 4 \times ( - 2) = - 8$

$\sf Total \: score \: of \: Reshma = +30+(-8)$

$\sf \implies +30 - 8 = + 22$

$\underline{ \boxed{ \sf Thus, marks \: scored \: by \: Reshma = 22 \: marks }}$

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$\sf (ii). \: Correct \: answers \: of \: Heena = 2$

$\sf \implies Marks \: for \: 2 \: correct \: answers = 2 \times ( + 5) = +10$

$\sf Incorrect \: answers \: of \: Heena = 4$

$\sf \implies Marks \: for \: 5 \: incorrect \: answers = 5 \times ( - 2) = - 10$

$\sf Not \: attempted \: questions \: of \: Heena = 10 -7 = 3$

$\sf \implies Marks \: for \: not \: attemting \: 3 \: questions = 3 \times 0 = 0$

$\sf Total \: score \: of \: Heena = + 10 + ( - 10) + 0$

$\sf \implies 10 - 10 + 0 = 0$

$\underline{ \boxed{ \sf Thus, marks \: scored \: by \: Heena = 0 \: marks }}$