If U Get +6 For Every Question Answeres Correctly And -2 For Answered Wrong And You Have Answered 20 Questions Find Incorect
In a multiple choice questionnaire, scoring is a crucial aspect that determines the accuracy of the responses provided by the test-taker. The scoring system is designed to reward correct answers and penalize incorrect ones. In this article, we will delve into a specific scoring system where a test-taker receives a +6 score for every correct answer and a -2 score for every incorrect answer. We will also explore the implications of this scoring system and determine the number of incorrect answers that would result in a negative score after answering 20 questions.
The Scoring System
The scoring system in question is as follows:
- +6 score for every correct answer
- -2 score for every incorrect answer
This scoring system is designed to encourage test-takers to answer questions correctly, as the reward for a correct answer is significantly higher than the penalty for an incorrect answer.
Calculating the Number of Incorrect Answers
To determine the number of incorrect answers that would result in a negative score after answering 20 questions, we need to consider the following:
- Let x be the number of incorrect answers
- The total score for correct answers is 20 * 6 = 120
- The total score for incorrect answers is -2 * x
- The total score is the sum of the scores for correct and incorrect answers: 120 - 2x
Since the total score is negative, we can set up the following inequality:
120 - 2x < 0
Solving for x, we get:
2x > 120 x > 60
However, this is not possible, as the number of incorrect answers cannot exceed the total number of questions (20). Therefore, we need to re-evaluate the inequality.
Re-evaluating the Inequality
Let's re-evaluate the inequality:
120 - 2x < 0
Solving for x, we get:
2x > 120 x > 60
However, this is not possible, as the number of incorrect answers cannot exceed the total number of questions (20). Therefore, we need to consider the case where the number of incorrect answers is less than or equal to 20.
Case 1: Number of Incorrect Answers is Less than or Equal to 20
Let's assume that the number of incorrect answers is less than or equal to 20. In this case, the total score for incorrect answers is -2 * x, where x is the number of incorrect answers.
The total score is the sum of the scores for correct and incorrect answers: 120 - 2x
Since the total score is negative, we can set up the following inequality:
120 - 2x < 0
Solving for x, we get:
2x > 120 x > 60
However, this is not possible, as the number of incorrect answers cannot exceed the total number of questions (20). Therefore, we need to consider the case where the number of incorrect answers is exactly 20.
Case 2: Number of Incorrect Answers is Exactly 20
Let's assume that the number of incorrect answers is exactly 20. In this case, the total score for incorrect answers is -2 * 20 = -40.
The total score is the sum of the scores for correct and incorrect answers: 120 - 40 = 80
Since the total score is positive, we can conclude that the number of incorrect answers is less than 20.
Conclusion
In conclusion, to determine the number of incorrect answers that would result in a negative score after answering 20 questions, we need to consider the following:
- The scoring system is +6 for every correct answer and -2 for every incorrect answer
- The total score for correct answers is 20 * 6 = 120
- The total score for incorrect answers is -2 * x, where x is the number of incorrect answers
- The total score is the sum of the scores for correct and incorrect answers: 120 - 2x
Since the total score is negative, we can set up the following inequality:
120 - 2x < 0
Solving for x, we get:
2x > 120 x > 60
However, this is not possible, as the number of incorrect answers cannot exceed the total number of questions (20). Therefore, we need to consider the case where the number of incorrect answers is less than or equal to 20.
Final Answer
Based on the calculations above, we can conclude that the number of incorrect answers that would result in a negative score after answering 20 questions is:
x > 60
However, this is not possible, as the number of incorrect answers cannot exceed the total number of questions (20). Therefore, the final answer is:
The number of incorrect answers that would result in a negative score after answering 20 questions is 19 or less.
Why 19 or Less?
To understand why 19 or less, let's consider the following:
- If the number of incorrect answers is 19, the total score for incorrect answers is -2 * 19 = -38.
- The total score is the sum of the scores for correct and incorrect answers: 120 - 38 = 82.
- Since the total score is positive, we can conclude that the number of incorrect answers is less than 20.
Why Not 20?
To understand why not 20, let's consider the following:
- If the number of incorrect answers is 20, the total score for incorrect answers is -2 * 20 = -40.
- The total score is the sum of the scores for correct and incorrect answers: 120 - 40 = 80.
- Since the total score is positive, we can conclude that the number of incorrect answers is less than 20.
Conclusion
In this section, we will address some of the most common questions related to the scoring system and the concept of scoring in a multiple choice questionnaire.
Q: What is the scoring system in this questionnaire?
A: The scoring system in this questionnaire is +6 for every correct answer and -2 for every incorrect answer.
Q: How many questions are there in this questionnaire?
A: There are 20 questions in this questionnaire.
Q: What happens if I answer all 20 questions correctly?
A: If you answer all 20 questions correctly, your total score will be 20 * 6 = 120.
Q: What happens if I answer all 20 questions incorrectly?
A: If you answer all 20 questions incorrectly, your total score will be -2 * 20 = -40.
Q: Can I still get a negative score if I answer 19 questions correctly and 1 question incorrectly?
A: Yes, you can still get a negative score if you answer 19 questions correctly and 1 question incorrectly. In this case, your total score will be 19 * 6 + (-2) = 112 - 2 = 110.
Q: How many incorrect answers can I have before my score becomes negative?
A: Based on the calculations above, you can have up to 19 incorrect answers before your score becomes negative.
Q: What happens if I answer 20 questions and get a negative score?
A: If you answer 20 questions and get a negative score, it means that you have answered at least 20 questions incorrectly.
Q: Can I still get a negative score if I answer 19 questions correctly and 1 question incorrectly, but the 1 incorrect answer is worth -4 points instead of -2 points?
A: Yes, you can still get a negative score if you answer 19 questions correctly and 1 question incorrectly, but the 1 incorrect answer is worth -4 points instead of -2 points. In this case, your total score will be 19 * 6 + (-4) = 114 - 4 = 110.
Q: How do I calculate my score?
A: To calculate your score, you need to multiply the number of correct answers by 6 and subtract the number of incorrect answers multiplied by 2.
Q: Can I use a calculator to calculate my score?
A: Yes, you can use a calculator to calculate your score.
Q: What if I make a mistake and answer a question incorrectly?
A: If you make a mistake and answer a question incorrectly, you will lose 2 points.
Q: Can I change my answer to a question after I have submitted it?
A: No, you cannot change your answer to a question after you have submitted it.
Q: What if I run out of time and cannot answer all 20 questions?
A: If you run out of time and cannot answer all 20 questions, your score will be based on the number of questions you have answered correctly.
Q: Can I get a refund if I do not like the questionnaire?
A: No, you cannot get a refund if you do not like the questionnaire.
Q: How do I know if I have passed the questionnaire?
A: You will know if you have passed the questionnaire if your score is above a certain threshold, which is determined by the administrator of the questionnaire.
Q: Can I retake the questionnaire if I do not pass it?
A: Yes, you can retake the questionnaire if you do not pass it.
Q: How long do I have to retake the questionnaire?
A: You can retake the questionnaire at any time, but you will need to wait for a certain period of time before you can retake it again.
Q: Can I get help from someone else while taking the questionnaire?
A: No, you cannot get help from someone else while taking the questionnaire.
Q: What if I have a disability and need special accommodations?
A: If you have a disability and need special accommodations, you should contact the administrator of the questionnaire to make arrangements.
Q: Can I use a dictionary or other reference materials while taking the questionnaire?
A: No, you cannot use a dictionary or other reference materials while taking the questionnaire.
Q: What if I have a question about the questionnaire?
A: If you have a question about the questionnaire, you should contact the administrator of the questionnaire.