High School

Solve the following problem:

In a class test containing 10 questions, 4 marks are awarded for every correct answer, -1 mark is awarded for every wrong answer, and 0 marks are given for unanswered questions. Sain has 4 correct answers and attempted 4 questions. Find her score.

Answer :

To determine Sain's score in the test, let's break down the problem step-by-step:

1. Understanding the Points System:
- For each correct answer, Sain earns 4 points.
- For each incorrect answer, Sain loses 1 point.
- No points are deducted or added for questions not attempted.

2. Information Given:
- Sain answered 4 questions correctly.
- Sain attempted a total of 4 questions.

3. Calculate Incorrect Answers:
- Since Sain attempted 4 questions and all 4 were correct, there are no incorrect answers:
[tex]\[
\text{Incorrect Answers} = \text{Attempted Questions} - \text{Correct Answers} = 4 - 4 = 0
\][/tex]

4. Calculate Total Score:
- Points from correct answers:
[tex]\[
\text{Points from Correct Answers} = \text{Correct Answers} \times 4 = 4 \times 4 = 16
\][/tex]
- Points from incorrect answers:
[tex]\[
\text{Points from Incorrect Answers} = \text{Incorrect Answers} \times (-1) = 0 \times (-1) = 0
\][/tex]
- Total Score:
[tex]\[
\text{Total Score} = \text{Points from Correct Answers} + \text{Points from Incorrect Answers} = 16 + 0 = 16
\][/tex]

Therefore, Sain's total score is 16 points.