Long Answer Questions (4 marks)
2x4
5 marks
1. 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.
(i) Daksh attempts all questions but only 10 of his answers are correct. What is his score?
(i) Satvik gets only 4 answers correct. What will be his score, if he did not attempt 8 questions at all?
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Certainly! Let's break down the solutions for both parts of the question step-by-step.

### (i) Daksh's Score Calculation
Daksh attempts all the questions but only gets 10 answers correct. We need to calculate his total score.

Given:
- Total number of questions: 15
- Marks for each correct answer: 4
- Marks for each incorrect answer: -2

Steps to calculate his score:

1. Correct Answers: Daksh has 10 correct answers.
2. Incorrect Answers: Since he attempts all questions, the remaining answers are incorrect.
- Total questions = 15
- Correct answers = 10
- Incorrect answers = Total questions - Correct answers
- Incorrect answers = 15 - 10 = 5

3. Calculate the total score:
- Score from correct answers = Number of correct answers [tex]$\times$[/tex] Marks per correct answer
- Score from correct answers = 10 [tex]$\times$[/tex] 4 = 40

- Score from incorrect answers = Number of incorrect answers [tex]$\times$[/tex] Marks per incorrect answer
- Score from incorrect answers = 5 [tex]$\times$[/tex] -2 = -10

- Total score = Score from correct answers + Score from incorrect answers
- Total score = 40 - 10 = 30

So, Daksh’s score is 30.

### (ii) Satvik's Score Calculation
Satvik gets only 4 answers correct and does not attempt 8 questions.

Steps to calculate his score:

1. Correct Answers: Satvik has 4 correct answers.
2. Unattempted Questions: Satvik does not attempt 8 questions.
3. Incorrect Answers: The remaining questions are incorrect.
- Total questions = 15
- Correct answers = 4
- Unattempted questions = 8
- Attempted questions = Total questions - Unattempted questions
- Attempted questions = 15 - 8 = 7
- Incorrect answers = Attempted questions - Correct answers
- Incorrect answers = 7 - 4 = 3

4. Calculate the total score:
- Score from correct answers = Number of correct answers [tex]$\times$[/tex] Marks per correct answer
- Score from correct answers = 4 [tex]$\times$[/tex] 4 = 16

- Score from incorrect answers = Number of incorrect answers [tex]$\times$[/tex] Marks per incorrect answer
- Score from incorrect answers = 3 [tex]$\times$[/tex] -2 = -6

- Total score = Score from correct answers + Score from incorrect answers
- Total score = 16 - 6 = 10

So, Satvik’s score is 10.

In summary:
- Daksh’s score is 30.
- Satvik’s score is 10.