In a class test of 15 questions 4 marks are given for every correct answer and (- 2) marks for every
incorrect answer and no marks are given for questions that are not attempted.
(1) Daksh attempts all questions but only 10 of his answers are correct. What is his score?
(ii) Satvik gets only 4 answers correct. What will be his score, if he did not attempt 8 questions at all?
Answers
Answer:
Given that,
In a class test containing 15 questions, 4 marks are given for every correct answer and (–2) marks are given for every incorrect answer.
Let the number of correct answer = x
Number of incorrect answers = y
Marks obtained by the student = 4(x) - 2y
Case(1) Bharathi attempts all questions.
Number of correct answers = 9
Number of incorrect = 15 - 9 = 6
So, x = 9, y = 6
Total score = 4x - 2y = 4(9) - 2 (6) = 36 - 12 = 24
Case(2) Hema attempts only 5 questions. All are correct.
So, Number of correct answers = 5
Incorrect Answers = 0
x = 5, y = 0
Total score = 4x - 2y = 4(5) - 2 (0) = 4(5)= 20 .
Therefore, Bharathi score is 24 , Hema score is 20 .
Step-by-step explanation:
Total Questions = 15
Marks for each correct ans = 4
Marks for each incorrect ans = (-2)
Marks for not attempted ques = 0
(i.) Daksh attempt total Questions = 15
Correct answer = 10*4 = 40
Incorrect answer = 5*(-2) = (-10)
Total score = 40-(-10) = 50
(ii.) Satvik attempted total Questions = 7
Correct answer = 4*4 = 16
Incorrect answer = 3*(-2) = (-5)
Total score = 16-(-5) = 21
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