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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. 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?
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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%
Required percentage = (5/30) x 100 = 16.67%
Hence, option 1.
Most Upvoted Answer
In an MBA entrance exam, a candidate attempts X questionscorrectly and...
Given
- X = Number of questions answered correctly
- Y = Number of questions answered incorrectly
- X = 2Y - 5 (the given relationship between X and Y)
To Find
- The student's percentage score
Solution
To find the student's percentage score, we need to calculate the total marks obtained by the student. Let's break down the calculation into steps:
Step 1: Calculate the total number of questions attempted
The total number of questions attempted is the sum of correctly answered questions and incorrectly answered questions.
Total attempted questions = X + Y
Step 2: Calculate the total marks obtained
For each correct answer, the student receives 1.5 marks, and for each incorrect answer, 0.5 marks are deducted.
Total marks obtained = (1.5 * X) - (0.5 * Y)
Step 3: Calculate the maximum possible marks
To calculate the percentage score, we need to know the maximum marks possible. Since unattempted questions do not carry any marks, the maximum possible marks would be the sum of the marks for correctly answered questions.
Maximum possible marks = 1.5 * X
Step 4: Calculate the percentage score
The percentage score can be calculated using the formula:
Percentage score = (Total marks obtained / Maximum possible marks) * 100
Substituting the values
Now, let's substitute the given relationship X = 2Y - 5 into the equations:
Total attempted questions = X + Y = (2Y - 5) + Y = 3Y - 5
Total marks obtained = (1.5 * X) - (0.5 * Y) = (1.5 * (2Y - 5)) - (0.5 * Y) = 3Y - 7.5 - 0.5Y = 2.5Y - 7.5
Maximum possible marks = 1.5 * X = 1.5 * (2Y - 5) = 3Y - 7.5
Percentage score = (Total marks obtained / Maximum possible marks) * 100 = ((2.5Y - 7.5) / (3Y - 7.5)) * 100
Simplifying the expression
Let's simplify the expression for the percentage score:
Percentage score = ((2.5Y - 7.5) / (3Y - 7.5)) * 100
= (2.5(Y - 3) / (3(Y - 2.5))) * 100
= (2.5 / 3) * 100
= 83.33%
Therefore, the student's percentage score is 83.33%. However, this does not match any of the given answer options. Hence, the given answer options are incorrect or incomplete.
- X = Number of questions answered correctly
- Y = Number of questions answered incorrectly
- X = 2Y - 5 (the given relationship between X and Y)
To Find
- The student's percentage score
Solution
To find the student's percentage score, we need to calculate the total marks obtained by the student. Let's break down the calculation into steps:
Step 1: Calculate the total number of questions attempted
The total number of questions attempted is the sum of correctly answered questions and incorrectly answered questions.
Total attempted questions = X + Y
Step 2: Calculate the total marks obtained
For each correct answer, the student receives 1.5 marks, and for each incorrect answer, 0.5 marks are deducted.
Total marks obtained = (1.5 * X) - (0.5 * Y)
Step 3: Calculate the maximum possible marks
To calculate the percentage score, we need to know the maximum marks possible. Since unattempted questions do not carry any marks, the maximum possible marks would be the sum of the marks for correctly answered questions.
Maximum possible marks = 1.5 * X
Step 4: Calculate the percentage score
The percentage score can be calculated using the formula:
Percentage score = (Total marks obtained / Maximum possible marks) * 100
Substituting the values
Now, let's substitute the given relationship X = 2Y - 5 into the equations:
Total attempted questions = X + Y = (2Y - 5) + Y = 3Y - 5
Total marks obtained = (1.5 * X) - (0.5 * Y) = (1.5 * (2Y - 5)) - (0.5 * Y) = 3Y - 7.5 - 0.5Y = 2.5Y - 7.5
Maximum possible marks = 1.5 * X = 1.5 * (2Y - 5) = 3Y - 7.5
Percentage score = (Total marks obtained / Maximum possible marks) * 100 = ((2.5Y - 7.5) / (3Y - 7.5)) * 100
Simplifying the expression
Let's simplify the expression for the percentage score:
Percentage score = ((2.5Y - 7.5) / (3Y - 7.5)) * 100
= (2.5(Y - 3) / (3(Y - 2.5))) * 100
= (2.5 / 3) * 100
= 83.33%
Therefore, the student's percentage score is 83.33%. However, this does not match any of the given answer options. Hence, the given answer options are incorrect or incomplete.
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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. What is the students 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?
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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. What is the students 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? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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. What is the students 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? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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. What is the students 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?.
Solutions for 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. What is the students 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? in English & in Hindi are available as part of our courses for CAT.
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