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In an MBA entrance exam, a candidate attempts X questions correctly and Y questions incorrectly such that X = 2Y - 5. Each correct answer fetches 1.5 marks whereas for each incorrect answer 0.5 marks are deducted.
Q. In the previous question, what is the student’s percentage score, if the unattempted questions do not carry any marks?
  • a)
    16.67%
  • b)
    34.95%
  • c)
    50.00%
  • d)
    83.33%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In an MBA entrance exam, a candidate attempts X questionscorrectly and...
Consider the solution to the previous question.
When the total number of questions = 20, maximum possible marks = 20 x 1.5 = 30
As per the previous solutions, the student has scored 5 marks.
Required percentage = (5/30) x 100 = 16.67%
Hence, option 1.
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Most Upvoted Answer
In an MBA entrance exam, a candidate attempts X questionscorrectly and...
Given:
- X: Number of questions attempted correctly
- Y: Number of questions attempted incorrectly
- X = 2Y - 5

To Find:
- The student's percentage score

Solution:

Step 1: Calculate the total number of questions attempted by the student.
- Total questions attempted = X + Y

Step 2: Calculate the total marks obtained by the student.
- Marks obtained for correct answers = X * 1.5
- Marks deducted for incorrect answers = Y * 0.5
- Total marks obtained = (X * 1.5) - (Y * 0.5)

Step 3: Calculate the total number of questions in the exam.
- Total questions = Total questions attempted + Unattempted questions

Step 4: Calculate the total marks for all the questions.
- Total marks for all the questions = Total questions * 1.5

Step 5: Calculate the student's percentage score.
- Percentage score = (Total marks obtained / Total marks for all the questions) * 100

Step 1: Calculate the total number of questions attempted by the student.
- Total questions attempted = X + Y
- Total questions attempted = (2Y - 5) + Y
- Total questions attempted = 3Y - 5

Step 2: Calculate the total marks obtained by the student.
- Marks obtained for correct answers = X * 1.5
- Marks deducted for incorrect answers = Y * 0.5
- Total marks obtained = (X * 1.5) - (Y * 0.5)
- Total marks obtained = ((2Y - 5) * 1.5) - (Y * 0.5)
- Total marks obtained = 3Y - 7.5 - 0.5Y
- Total marks obtained = 2.5Y - 7.5

Step 3: Calculate the total number of questions in the exam.
- Total questions = Total questions attempted + Unattempted questions
- Total questions = 3Y - 5 + Unattempted questions

Step 4: Calculate the total marks for all the questions.
- Total marks for all the questions = Total questions * 1.5
- Total marks for all the questions = (3Y - 5 + Unattempted questions) * 1.5

Step 5: Calculate the student's percentage score.
- Percentage score = (Total marks obtained / Total marks for all the questions) * 100
- Percentage score = (2.5Y - 7.5) / ((3Y - 5 + Unattempted questions) * 1.5) * 100

Since the unattempted questions do not carry any marks, the percentage score will be the same as the percentage score for the attempted questions.

In this case, the percentage score will be constant irrespective of the values of X and Y. Therefore, it cannot be determined based on the given information.
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In an MBA entrance exam, a candidate attempts X questionscorrectly and Y questions incorrectly such that X = 2Y - 5. Each correct answer fetches 1.5 marks whereas for each incorrect answer 0.5 marks are deducted.Q.In the previous question, what is the student’s percentage score, if the unattempted questions do not carry any marks?a)16.67%b)34.95%c)50.00%d)83.33%Correct answer is option 'A'. Can you explain this answer?
Question Description
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