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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?
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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 = 2Y - 5 = 2(12) - 5 = 19
Total questions = X + Y = 19 + 12 = 31
► X = 2Y - 5 = 2(12) - 5 = 19
Total questions = X + Y = 19 + 12 = 31
Most Upvoted Answer
Refer to the following data and answer the questions that follow:In an...
Given:
- The 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 the total number of questions in the exam is 'T'.
1. Equating the number of correct and incorrect attempts:
The candidate attempts X questions correctly and Y questions incorrectly.
X + Y = T
2. Using the given equation:
From the given equation, we have X = 2Y - 5.
Substituting this value in the equation from step 1, we get:
(2Y - 5) + Y = T
Simplifying the equation:
3Y - 5 = T
3. Calculating the total marks:
Each correct answer fetches 1.5 marks, and each incorrect answer deducts 0.5 marks.
The total marks can be calculated as:
Total marks = (1.5 * X) - (0.5 * Y)
Substituting the value of X from the given equation:
Total marks = (1.5 * (2Y - 5)) - (0.5 * Y)
Simplifying the equation:
Total marks = 3Y - 7.5 - 0.5Y
= 2.5Y - 7.5
4. Calculating the marks for going wrong in 12 questions:
For going wrong in 12 questions, the marks deducted would be 0.5 * 12 = 6.
Therefore, the total marks would be:
Total marks = (2.5Y - 7.5) - 6
= 2.5Y - 13.5
5. Finding the value of Y:
Since we know that the total marks would be zero if all the questions are attempted incorrectly, we can set the total marks to zero and solve for Y.
2.5Y - 13.5 = 0
2.5Y = 13.5
Y = 13.5 / 2.5
Y = 5.4
But Y represents the number of questions attempted incorrectly, which cannot be a decimal value. Therefore, Y should be a whole number.
Since Y cannot be a decimal, we need to check the options provided to find the value of T that satisfies the equation 3Y - 5 = T.
6. Checking the options:
Let's check the options provided:
a) 28
b) 29
c) 30
d) 31
Substituting the values of Y in the equation 3Y - 5 = T for each option:
a) 3 * 28 - 5 = 84 - 5 = 79 (not equal to 28)
b) 3 * 29 - 5 = 87 - 5 = 82 (not equal to 29)
c) 3 * 30 - 5 = 90 - 5 = 85 (not equal to 30)
d) 3 * 31 - 5 = 93
- The 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 the total number of questions in the exam is 'T'.
1. Equating the number of correct and incorrect attempts:
The candidate attempts X questions correctly and Y questions incorrectly.
X + Y = T
2. Using the given equation:
From the given equation, we have X = 2Y - 5.
Substituting this value in the equation from step 1, we get:
(2Y - 5) + Y = T
Simplifying the equation:
3Y - 5 = T
3. Calculating the total marks:
Each correct answer fetches 1.5 marks, and each incorrect answer deducts 0.5 marks.
The total marks can be calculated as:
Total marks = (1.5 * X) - (0.5 * Y)
Substituting the value of X from the given equation:
Total marks = (1.5 * (2Y - 5)) - (0.5 * Y)
Simplifying the equation:
Total marks = 3Y - 7.5 - 0.5Y
= 2.5Y - 7.5
4. Calculating the marks for going wrong in 12 questions:
For going wrong in 12 questions, the marks deducted would be 0.5 * 12 = 6.
Therefore, the total marks would be:
Total marks = (2.5Y - 7.5) - 6
= 2.5Y - 13.5
5. Finding the value of Y:
Since we know that the total marks would be zero if all the questions are attempted incorrectly, we can set the total marks to zero and solve for Y.
2.5Y - 13.5 = 0
2.5Y = 13.5
Y = 13.5 / 2.5
Y = 5.4
But Y represents the number of questions attempted incorrectly, which cannot be a decimal value. Therefore, Y should be a whole number.
Since Y cannot be a decimal, we need to check the options provided to find the value of T that satisfies the equation 3Y - 5 = T.
6. Checking the options:
Let's check the options provided:
a) 28
b) 29
c) 30
d) 31
Substituting the values of Y in the equation 3Y - 5 = T for each option:
a) 3 * 28 - 5 = 84 - 5 = 79 (not equal to 28)
b) 3 * 29 - 5 = 87 - 5 = 82 (not equal to 29)
c) 3 * 30 - 5 = 90 - 5 = 85 (not equal to 30)
d) 3 * 31 - 5 = 93
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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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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? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
Solutions for 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? in English & in Hindi are available as part of our courses for CAT.
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