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 question not attempted.How to solve it please help.
Answers
➺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 and five incorrect answers out of seven questions she attempts. What is her score?
➺Answer:-
(i) Mohan gets marks for four correct questions
➟4 x 5
➟20
He gets marks for six incorrect questions
➟6 x (–2)
➟–12
➥Therefore,
Total scores of Mohan
➾(4 x 5) + [6 x (–2)]
➾20 – 12
➾8
➥Thus,
Mohan gets 8 marks in a class test.
(ii) Reshma gets marks for five correct questions
➯5 x 5
➯25
She gets marks for five incorrect questions
⇒5 x (–2)
⇒ –10
➥Therefore,
Total score of Resham
⇨ 25 + (–10)
⇨ 15
➥Thus,
Reshma gets 15 marks in a class test.
(iii) Heena gets marks for two correct questions
↦2 x 5
↦10
She gets marks for five incorrect questions
➩5 x (–2)
➩–10
➥Therefore,
Total score of Resham
➪10 + (–10)
➪0
➥Thus,
Reshma gets 0 marks in a class test.