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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. how many questions did the student not attempt, if the total number of questions in the exam was 20?
  • a)
    8
  • b)
    9
  • c)
    10
  • d)
    12
Correct answer is option 'C'. 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.
X + Y + unattempted questions = total questions
5 + 5 + unattempted questions = 20 unattempted questions = 10
Hence, option 3.
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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 (equation 1)
- Each correct answer fetches 1.5 marks
- Each incorrect answer deducts 0.5 marks
- Total number of questions = 20

To find:
- Number of questions not attempted

Solution:
Let's solve the given problem step by step:

Step 1: Formulate the equations:
- The number of questions attempted correctly (X) can be written as X = 2Y - 5 (equation 1)
- The total number of questions attempted (X + Y) should be equal to the total number of questions, which is 20.

Step 2: Substitute the value of X from equation 1 into the second equation:
X + Y = 20
(2Y - 5) + Y = 20
3Y - 5 = 20
3Y = 25
Y = 25/3

Step 3: Calculate the value of Y:
Y = 25/3 ≈ 8.33

Since the number of attempted questions cannot be in decimal, we need to round it to the nearest whole number. Thus, Y = 8.

Step 4: Calculate the value of X:
X = 2Y - 5
X = 2(8) - 5
X = 16 - 5
X = 11

Step 5: Calculate the number of questions not attempted:
Number of questions not attempted = Total number of questions - Number of questions attempted
Number of questions not attempted = 20 - (X + Y)
Number of questions not attempted = 20 - (11 + 8)
Number of questions not attempted = 20 - 19
Number of questions not attempted = 1

Therefore, the student did not attempt 1 question.

Conclusion:
The student did not attempt 1 question out of the total 20 questions.
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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. how many questions did the student not attempt, if the total number of questions in the exam was 20?a)8b)9c)10d)12Correct answer is option 'C'. Can you explain this answer?
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