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Refer to the following data and answer the questions that follow:
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 total number of questions asked in the exam, if  a candidate attempts all the questions but goes wrong in 12 of them?
  • a)
    28
  • b)
    29
  • c)
    30
  • d)
    31
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Refer to the following data and answer the questions that follow:In an...
Since the candidate attempts all the questions and gets 12 questions wrong, X + Y = total and Y = 12
X = 2 Y - 5 = 2(12) - 5 = 19
Total questions = X + Y = 1 9 + 12 = 31 Hence, option 4.
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Most Upvoted Answer
Refer to the following data and answer the questions that follow:In an...
Given:
- A candidate attempts X questions correctly and Y questions incorrectly.
- X = 2Y - 5.
- Each correct answer fetches 1.5 marks.
- Each incorrect answer deducts 0.5 marks.

To find:
The total number of questions asked in the exam.

Solution:

Let's assume that the candidate attempts all the questions, but goes wrong in 12 of them. So, the number of incorrect answers (Y) would be 12.

We are given that X = 2Y - 5. Substituting the value of Y, we get:
X = 2(12) - 5
X = 24 - 5
X = 19

Therefore, the candidate attempts 19 questions correctly (X).

Now, let's calculate the total marks obtained by the candidate:

- Each correct answer fetches 1.5 marks, so the marks obtained for correct answers = (1.5 * 19) = 28.5.
- Each incorrect answer deducts 0.5 marks, so the marks deducted for incorrect answers = (0.5 * 12) = 6.

The net marks obtained by the candidate = Marks obtained for correct answers - Marks deducted for incorrect answers = 28.5 - 6 = 22.5.

We know that each question carries equal marks. So, the total marks of the exam would be equal to the net marks obtained by the candidate.

Since each question carries 1.5 marks, the total number of questions asked in the exam would be:
Total marks / Marks per question = 22.5 / 1.5 = 15.

Therefore, the total number of questions asked in the exam is 15.

Hence, the correct answer is option 'D' - 31.
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Refer to the following data and answer the questions that follow: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 total number of questions asked in the exam, if a candidate attempts all the questions but goes wrong in 12 of them?a)28b)29c)30d)31Correct answer is option 'D'. Can you explain this answer?
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