A unit test consisting of 15 questions was held in a class. Three marks were given for each correct answer and (-1) mark for every incorrect answer. Also, for those questions that were attempted, 1 mark was given.<br />
(I) What is Liva's score if she attempted only 10 questions?<br />
(II) James gets 8 incorrect and 7 correct answers. What is his score?<br />
(III)Syria gets 6 correct and 5 incorrect answers. She also attempts the remaining questions. Calculate her score
Answers
Step-by-step explanation:
Given :-
A unit test consisting of 15 questions was held in a class. Three marks were given for each correct answer and (-1) mark for every incorrect answer. Also, for those questions that were attempted, 1 mark was given.
To find:-
(I) What is Liva's score if she attempted only 10 questions?
(II) James gets 8 incorrect and 7 correct answers. What is his score?
(III)Syria gets 6 correct and 5 incorrect answers.
She also attempts the remaining questions. Calculate her score?
Solution:-
Given that
Total number of questions in a test = 15
Allotted marks for correct answer= (+3)
Allotted marks for incorrect answer =(-1)
Allotted marks for attempted question = 1
1) Number of questions attempted by Liva =10
Total marks for her questions
= 10×1 = 10 marks
2)Number of questions answered correctly by James = 7
Marks for Correct answers
= 7×3 = 21 marks
Number of questions answered incorrectly = 8
Marks for incorrect answers
= 8×(-1) = -8 marks
Total score of James
= 21+(-18)
= 21-8
= 13 marks
3)Number of questions answered correctly by Syria = 6
Marks for Correct answers
= 6×3 = 18 marks
Number of questions answered incorrectly = 5
Marks for incorrect answers
= 5×(-1) = -5 marks
Number of questions attempted = 15-(6+5)
=> 15-11
=> 4
Marks for attempted questions
= 4×1 = 4 marks
Total score = 18+(-5)+4
=> 22-5
=>17 marks
Answer :-
1) Liva's score = 10 marks
2) Total score of James = 13 marks
3) Total score of Syria = 17 marks