In a true -false test containing 50 Questions a student is to be award...
Analysis of the Test Scoring System:
The test consists of 50 true-false questions. For each correct answer, the student is awarded 4 marks, while for each incorrect answer, 2 marks are deducted. Not supplying any answer is marked as 0.
Calculating the Maximum Score:
To determine the maximum score a student can achieve, we assume that the student answers all 50 questions correctly. Therefore, the maximum score would be:
Maximum Score = (Number of Correct Answers) * (Marks per Correct Answer)
= 50 * 4
= 200 marks
This means that the student can score a maximum of 200 marks in the test.
Calculating the Minimum Score:
To determine the minimum score a student can achieve, we assume that the student answers all 50 questions incorrectly. Therefore, the minimum score would be:
Minimum Score = (Number of Incorrect Answers) * (Marks per Incorrect Answer)
= 50 * (-2)
= -100 marks
This means that the student can score a minimum of -100 marks in the test.
Determining the Possibilities:
Given that the student secured 94 marks in the test, we need to find the possible combinations of correct and incorrect answers that would yield this score. Let's denote the number of correct answers as 'x' and the number of incorrect answers as 'y'.
Using the scoring system, we can set up the following equation:
4x - 2y = 94
Simplifying the equation, we can divide both sides by 2:
2x - y = 47
Now, let's analyze the possible combinations of 'x' and 'y' that satisfy this equation:
- 'x' can vary from 0 to 47, as it represents the number of correct answers.
- 'y' can vary from 0 to 94, as it represents the number of incorrect answers.
For each combination of 'x' and 'y', we can calculate the total score using the formula:
Total Score = (x * 4) - (y * 2)
If the total score matches the student's score of 94, then that combination is a possibility.
Conclusion:
By analyzing the scoring system and considering the given score of 94, we can determine the possible combinations of correct and incorrect answers. However, without further information or constraints, it is not possible to determine the exact number of correct and incorrect answers chosen by the student.
In a true -false test containing 50 Questions a student is to be award...
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