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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. If a student has the same number of correct and incorrect  answers, what is his score?
  • a)
    7.5
  • b)
    5.0
  • c)
    4.5
  • d)
    6.0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In an MBA entrance exam, a candidate attempts X questionscorrectly and...
Here, X = Y
Y = 2Y - 5 which gives Y = X = 5
A student gets 1.5 marks for each correct answer and loses 0.5 marks for each incorrect answer.
Total marks = 1.5(5) - 0.5(5) = 7.5 - 2.5 = 5.0
Hence, option 2.
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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 score when he has the same number of correct and incorrect answers.

Solution:

To find the score, we need to calculate the total marks obtained. The score is calculated based on the following conditions:
- Each correct answer fetches 1.5 marks
- Each incorrect answer deducts 0.5 marks

Step 1: Find X and Y
Given that the student has the same number of correct and incorrect answers, we can set X = Y.
Substituting this in the given equation:
X = 2X - 5
X - 2X = -5
-X = -5
X = 5

Therefore, the student has attempted 5 questions correctly and 5 questions incorrectly.

Step 2: Calculate the score
To calculate the score, we need to multiply the number of correct answers by 1.5 and subtract the number of incorrect answers multiplied by 0.5.

Score = (Number of correct answers * 1.5) - (Number of incorrect answers * 0.5)
= (5 * 1.5) - (5 * 0.5)
= 7.5 - 2.5
= 5.0

Therefore, the student's score is 5.0.

Answer:
The correct answer is option B) 5.0.
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Community Answer
In an MBA entrance exam, a candidate attempts X questionscorrectly and...
Here, X = Y
Y = 2Y - 5 which gives Y = X = 5
A student gets 1.5 marks for each correct answer and loses 0.5 marks for each incorrect answer.
Total marks = 1.5(5) - 0.5(5) = 7.5 - 2.5 = 5.0
Hence, option 2.
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