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In an examination containing 100 questions, a student gets 1 mark for a right answer, -1/3 for a wrong answer and -1/4 for an unattempted answer. If a student scores 80 marks in the examination, how many questions did he answer wrong?
  • a)
    4
  • b)
    6
  • c)
    0
  • d)
    Can't be determined
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
In an examination containing 100 questions, a student gets 1 mark for...
Solution:

Let the number of questions attempted be x, then the number of unattempted questions will be (100-x).

Total marks obtained by the student = 1*(number of right answers) - 1/3*(number of wrong answers) - 1/4*(number of unattempted questions)

As the student has scored 80 marks in the examination, we can write the equation as follows:

80 = 1*(number of right answers) - 1/3*(number of wrong answers) - 1/4*(100 - x)

Simplifying the above equation, we get:

(number of wrong answers) = 4x - 300

As the number of wrong answers cannot be negative, we have:

4x - 300 ≥ 0

Solving the above inequality, we get:

x ≥ 75

Therefore, the minimum number of attempted questions required to score 80 marks is 75. However, we cannot determine the number of wrong answers without knowing the exact number of right answers. Hence, the correct answer is option 'D' (can't be determined).
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Community Answer
In an examination containing 100 questions, a student gets 1 mark for...
100 - x -y - x/3 - y/4 = 80. 15x + 16y = 240. This has two integer solutions (0,15) and (16,0). Hence, we can't determine the number of answers the student got wrong.
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A, B, C, D and E are five students appearing in an examination in which 10 marks are allotted for each question. A student can score a maximum of 100 marks in the examination. There are 9 questions in the examination of 10 marks each and the score of the student in these is called his Base score. The base score when added to the average of the 9 questions is called the Total score of a student. The data below pertains to the performance of each student out of 90 marks.1. D scored more marks than B.2. The least base score is 90% and base marks scored by three students are consecutive integers.3. The average of the least and the highest base scores is same as the mean.4. A did not score the least base marks.5. Cs base score is in the multiples of three and has less base marks than B and more than A.6. The average of the base marks is 84 which is also the median.Q. What can be the minimum number of questions in which C getsfull marks?

Answer the following question based on the information given below.A, B, C, D and E are five students appearing in an examination in which 10 marks are allotted for each question. A student can score a maximum of 100 marks in the examination. There are 9 questions in the examination of 10 marks each and the score of the student in these is called his Base score. The base score when added to the average of the 9 questions is called the Total score of a student. The data below pertains to the performance of each student out of 90 marks.1. D scored more marks than B.2. The least base score is 90% and base marks scored by three students are consecutive integers.3. The average of the least and the highest base scores is same as the mean.4. A did not score the least base marks.5. Cs base score is in the multiples of three and has less base marks than B and more than A.6. The average of the base marks is 84 which is also the median.Q. What can be the least marks awarded in one question amongst all students?

Group QuestionAnswer the following question based on the information given below.A, B, C, D and E are five students appearing in an examination in which 10 marks are allotted for each question. A student can score a maximum of 100 marks in the examination. There are 9 questions in the examination of 10 marks each and the score of the student in these is called his Base score. The base score when added to the average of the 9 questions is called the Total score of a student. The data below pertains to the performance of each student out of 90 marks.1. D scored more marks than B.2. The least base score is 90% and base marks scored by three students are consecutive integers.3. The average of the least and the highest base scores is same as the mean.4. A did not score the least base marks.5. Cs base score is in the multiples of three and has less base marks than B and more than A.6. The average of the base marks is 84 which is also the median.Q. What is the difference between the total marks of the students who scored highest and second lowest marks respectively?

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In an examination containing 100 questions, a student gets 1 mark for a right answer, -1/3 for a wrong answer and -1/4 for an unattempted answer. If a student scores 80 marks in the examination, how many questions did he answer wrong?a)4b)6c)0d)Can't be determinedCorrect answer is option 'D'. Can you explain this answer?
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