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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, 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?
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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.
X + Y + unattempted questions = total questions
5 + 5 + unattempted questions = 20
unattempted questions = 10
Hence, option 3.
Most Upvoted Answer
In an MBA entrance exam, a candidate attempts X questionscorrectly and...
To solve this question, let's break it down step by step:
Given:
- X represents the number of questions attempted correctly
- Y represents the number of questions attempted incorrectly
- X = 2Y - 5 (Equation 1)
- Each correct answer fetches 1.5 marks
- Each incorrect answer deducts 0.5 marks
- The total number of questions in the exam is 20
Step 1: Find the value of X and Y
Using Equation 1, we can substitute the value of X in terms of Y:
2Y - 5 = X
Step 2: Calculate the number of marks obtained
Let's assume that the candidate attempted Z questions in total. Therefore, the number of questions not attempted would be 20 - Z.
The total marks obtained can be calculated as follows:
Total marks = (1.5 * X) - (0.5 * Y)
Step 3: Substitute the value of X in terms of Y in the equation for total marks
Total marks = (1.5 * (2Y - 5)) - (0.5 * Y)
Total marks = 3Y - 7.5 - 0.5Y
Total marks = 2.5Y - 7.5
Step 4: Calculate the value of Y
To find the value of Y, we need to equate the total marks to zero (as no marks were obtained for any unattempted questions):
2.5Y - 7.5 = 0
2.5Y = 7.5
Y = 7.5 / 2.5
Y = 3
Step 5: Calculate the value of X
Substituting the value of Y in Equation 1:
X = 2(3) - 5
X = 6 - 5
X = 1
Step 6: Calculate the number of questions not attempted
The number of questions not attempted = 20 - Z
Since the candidate attempted X questions correctly and Y questions incorrectly, the total number of questions attempted would be X + Y:
Z = X + Y
Z = 1 + 3
Z = 4
The number of questions not attempted = 20 - Z
= 20 - 4
= 16
Therefore, the student did not attempt 16 questions. However, none of the given options match this result. Hence, the question is flawed or there may be some error in the calculations.
Given:
- X represents the number of questions attempted correctly
- Y represents the number of questions attempted incorrectly
- X = 2Y - 5 (Equation 1)
- Each correct answer fetches 1.5 marks
- Each incorrect answer deducts 0.5 marks
- The total number of questions in the exam is 20
Step 1: Find the value of X and Y
Using Equation 1, we can substitute the value of X in terms of Y:
2Y - 5 = X
Step 2: Calculate the number of marks obtained
Let's assume that the candidate attempted Z questions in total. Therefore, the number of questions not attempted would be 20 - Z.
The total marks obtained can be calculated as follows:
Total marks = (1.5 * X) - (0.5 * Y)
Step 3: Substitute the value of X in terms of Y in the equation for total marks
Total marks = (1.5 * (2Y - 5)) - (0.5 * Y)
Total marks = 3Y - 7.5 - 0.5Y
Total marks = 2.5Y - 7.5
Step 4: Calculate the value of Y
To find the value of Y, we need to equate the total marks to zero (as no marks were obtained for any unattempted questions):
2.5Y - 7.5 = 0
2.5Y = 7.5
Y = 7.5 / 2.5
Y = 3
Step 5: Calculate the value of X
Substituting the value of Y in Equation 1:
X = 2(3) - 5
X = 6 - 5
X = 1
Step 6: Calculate the number of questions not attempted
The number of questions not attempted = 20 - Z
Since the candidate attempted X questions correctly and Y questions incorrectly, the total number of questions attempted would be X + Y:
Z = X + Y
Z = 1 + 3
Z = 4
The number of questions not attempted = 20 - Z
= 20 - 4
= 16
Therefore, the student did not attempt 16 questions. However, none of the given options match this result. Hence, the question is flawed or there may be some error in the calculations.
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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, 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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