Question

6. In a class test containing 10 questions, 5 marks are awarded for every correct
answer and 2 marks are deducted for every incorrect answer and 0 for questions
not attempted
(1) Rohit gets four correct and six incorrect answers. What is his score?
(2) Seema gets 5 correct and 5 incorrect answers. What is her score?
(3) Ritu attempted 7 questions and gets only 2 correct answers. What is her
score?​

Answer 1

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

$\implies\sf Total \: questions = 10$

$\implies\sf Marks \: for \: correct \: question = 5 \: marks$

$\sf\implies\sf Marks \: for \: incorrect \: questions = (-2)\: marks$

$\implies\sf Marks \: for \: not \: attempting = 0 \: marks$

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

$\sf (i). \: Rohit \: gets \: 4 \: correct \: and \: 6 \: incorrect \: answers.$

$\implies\sf Rohit's \:total \: score = \: ?$

$\sf \implies Equation = \bf 5(4)+ (-2) \times 6$

$\implies \sf 5 \times 4-2 \times 6$

$\implies \sf 20-12$

$\implies \sf 8$

$\sf \boxed{ \sf{Hence, Rohit's \: total \: score = 8 \: marks}}$

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$\sf (ii). \: Seema \: gets \: 5 \: correct \: and \: 5 \: incorrect \: answers.$

$\implies\sf Seema 's \:total \: score = \: ?$

$\sf \implies Equation = \bf 5(5)+ (-2) \times 5$

$\implies \sf 5 \times 5-2 \times 5$

$\implies \sf 25-10$

$\implies \sf 15$

$\sf \boxed{ \sf{Therefore, Seema's \: total \: score = 15 \: marks}}$

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$\sf (iii). \: Ritu \: attempted \: 7 \: question \: and \: gets \: 2 \: correct \: answers.$

$\implies\sf Reeta's \:total \: score = \: ?$

$\sf \underline{ Incorrect \: answers = 7 - 2 = 5 \: answers. }$

$\sf \implies Equation = \bf 5(2)+ (-2) \times 5$

$\implies \sf 5 \times 2-2 \times 5$

$\implies \sf 10-10$

$\implies \sf 0$

$\sf \boxed{ \sf{Thus, Ritu's \: total \: score = 0 \: marks}}$