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An examination has 120 questions with 40 questions each in three sections. In section I, a student gets 3 marks for a correct answer and (-1.5) marks for a wrong answer. In section II, a student gets 2 marks for a correct answer and (-1) mark for a wrong answer. In section III, a student gets 1 mark for a correct answer and (-0.5) marks for a wrong answer. Suvidh attempted all the questions and got a total of 60 marks in the examination. If Suvidh had attempted 30 questions of section III correctly, then what was the maximum number of questions that Suvidh could have answered incorrectly on the whole?
  • a)
    50
  • b)
    60
  • c)
    55
  • d)
    75
  • e)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
An examination has 120 questions with 40 questions each in three secti...
Total answers = 120
Let the number of correct answers = x
number of wrong answers = (120-x)

Marks awarded for each right answer = 1
then Marks awarded for x right answer = x � 1 = x marks
Marks deducted for each wrong answer = 0.5
then marks deducted for (120-x) right answers = (120-x) � 0.5 = 60 - 0.5x

So she will get= marks awarded for the right answer - marks deducted for the wrong answer
= x - (60-0.5x)
= x - 60 + 0.5x
= 1.5x - 60
And she has got = 90 marks
So 
1.5x - 60 = 90
⇒ 1.5x = 90 + 60
⇒ 1.5x = 150
⇒ x = 150/1.5 
⇒ x = 100
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Most Upvoted Answer
An examination has 120 questions with 40 questions each in three secti...
Given:
- Total number of questions in the examination = 120
- Number of questions in each section = 40
- Marks awarded for a correct answer in section I = 3
- Marks deducted for a wrong answer in section I = -1.5
- Marks awarded for a correct answer in section II = 2
- Marks deducted for a wrong answer in section II = -1
- Marks awarded for a correct answer in section III = 1
- Marks deducted for a wrong answer in section III = -0.5
- Total marks obtained by Suvidh = 60
- Number of questions answered correctly in section III = 30

To find:
- The maximum number of questions that Suvidh could have answered incorrectly on the whole

Approach:
1. Let's assume that Suvidh answered all the questions correctly in section I and section II.
2. In section III, Suvidh answered 30 questions correctly, which means he answered (40-30) = 10 questions incorrectly.
3. Now, let's calculate the marks obtained by Suvidh in section III:
- Marks obtained for correct answers = 30 * 1 = 30
- Marks deducted for wrong answers = 10 * (-0.5) = -5
- Total marks obtained in section III = 30 + (-5) = 25
4. The total marks obtained by Suvidh in section I and section II = 3 * 40 + 2 * 40 = 120
5. Let's assume that Suvidh answered x questions incorrectly in section I and section II.
6. Now, let's calculate the marks obtained by Suvidh in section I and section II:
- Marks obtained for correct answers = (40 - x) * 3 + (40 - x) * 2 = 120 - 5x
- Marks deducted for wrong answers = x * (-1.5) + x * (-1) = -2.5x
- Total marks obtained in section I and section II = (120 - 5x) + (-2.5x) = 120 - 7.5x
7. The total marks obtained by Suvidh in the examination = Total marks obtained in section I and section II + Total marks obtained in section III = 120 - 7.5x + 25 = 145 - 7.5x
8. As per the given information, Suvidh obtained a total of 60 marks in the examination.
- 145 - 7.5x = 60
- 7.5x = 85
- x = 85/7.5 = 11.33
9. Since the number of questions must be a whole number, the maximum number of questions that Suvidh could have answered incorrectly on the whole is 11.

Therefore, the maximum number of questions that Suvidh could have answered incorrectly on the whole is 11, which corresponds to option B.
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An examination has 120 questions with 40 questions each in three sections. In section I, a student gets 3 marks for a correct answer and (-1.5) marks for a wrong answer. In section II, a student gets 2 marks for a correct answer and (-1) mark for a wrong answer. In section III, a student gets 1 mark for a correct answer and (-0.5) marks for a wrong answer. Suvidh attempted all the questions and got a total of 60 marks in the examination. If Suvidh had attempted 30 questions of section III correctly, then what was the maximum number of questions that Suvidh could have answered incorrectly on the whole?a)50b)60c)55d)75e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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An examination has 120 questions with 40 questions each in three sections. In section I, a student gets 3 marks for a correct answer and (-1.5) marks for a wrong answer. In section II, a student gets 2 marks for a correct answer and (-1) mark for a wrong answer. In section III, a student gets 1 mark for a correct answer and (-0.5) marks for a wrong answer. Suvidh attempted all the questions and got a total of 60 marks in the examination. If Suvidh had attempted 30 questions of section III correctly, then what was the maximum number of questions that Suvidh could have answered incorrectly on the whole?a)50b)60c)55d)75e)Cannot be determinedCorrect answer is option 'B'. 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 An examination has 120 questions with 40 questions each in three sections. In section I, a student gets 3 marks for a correct answer and (-1.5) marks for a wrong answer. In section II, a student gets 2 marks for a correct answer and (-1) mark for a wrong answer. In section III, a student gets 1 mark for a correct answer and (-0.5) marks for a wrong answer. Suvidh attempted all the questions and got a total of 60 marks in the examination. If Suvidh had attempted 30 questions of section III correctly, then what was the maximum number of questions that Suvidh could have answered incorrectly on the whole?a)50b)60c)55d)75e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An examination has 120 questions with 40 questions each in three sections. In section I, a student gets 3 marks for a correct answer and (-1.5) marks for a wrong answer. In section II, a student gets 2 marks for a correct answer and (-1) mark for a wrong answer. In section III, a student gets 1 mark for a correct answer and (-0.5) marks for a wrong answer. Suvidh attempted all the questions and got a total of 60 marks in the examination. If Suvidh had attempted 30 questions of section III correctly, then what was the maximum number of questions that Suvidh could have answered incorrectly on the whole?a)50b)60c)55d)75e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
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