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Directions: In an examination of 150 marks, all questions carry equal marks. 3 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. All the questions are compulsory and one mark is deducted for every unanswered question.
Q. A group of students appeared for the exam. Each of them attempted 45 questions and each of them obtained different marks. If none of the students scored negative marks, how many students may have appeared for the exam?
- a)29
- b)30
- c)28
- d)27
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Directions: In an examination of 150 marks, all questions carry equal ...
As discussed above, the maximum marks that can be obtained in this condition is 130.
For a single wrong answer, marks will get reduced by 5.
No student obtained negative marks. So, the marks obtained may be 0, 5, 10, ...., 130; i.e. 27 possible marks.
So, 27 students can appear for the exam and each of them may get a different score.
For a single wrong answer, marks will get reduced by 5.
No student obtained negative marks. So, the marks obtained may be 0, 5, 10, ...., 130; i.e. 27 possible marks.
So, 27 students can appear for the exam and each of them may get a different score.
Most Upvoted Answer
Directions: In an examination of 150 marks, all questions carry equal ...
Analysis:
To solve this problem, we need to determine the number of students who appeared for the exam given the following conditions:
- Each student attempted 45 questions.
- Each question carries equal marks.
- 3 marks are awarded for every correct answer.
- 2 marks are deducted for every wrong answer.
- 1 mark is deducted for every unanswered question.
- None of the students scored negative marks.
Approach:
Let's assume that 'x' students appeared for the exam. We'll use this assumption to solve the problem step by step.
Step 1: Calculating the maximum possible marks:
Since each question carries equal marks, the maximum possible marks in the examination would be:
Total marks = Number of questions x Marks per question = 150 x 3 = 450.
Step 2: Calculating the minimum possible marks:
In order to calculate the minimum possible marks, we need to consider the worst-case scenario for each student. Let's assume that a student attempted all the questions and answered them all incorrectly. In this case, the student would score:
Minimum marks = Number of attempted questions x (Marks per question - Marks deducted for each wrong answer) = 45 x (3 - 2) = 45 x 1 = 45.
Step 3: Calculating the maximum possible marks without negative scores:
Since none of the students scored negative marks, the minimum marks should be 0. Therefore, the maximum possible marks without negative scores would be:
Maximum possible marks without negative scores = Maximum possible marks - Minimum marks = 450 - 0 = 450.
Step 4: Calculating the maximum number of students:
To calculate the maximum number of students, we divide the maximum possible marks without negative scores by the minimum possible marks:
Maximum number of students = Maximum possible marks without negative scores / Minimum marks = 450 / 45 = 10.
Step 5: Calculating the minimum number of students:
To calculate the minimum number of students, we divide the maximum possible marks without negative scores by the maximum possible marks a student can score:
Minimum number of students = Maximum possible marks without negative scores / Maximum possible marks a student can score = 450 / 45 = 10.
Conclusion:
Based on the above calculations, the number of students who may have appeared for the exam can be any value from the minimum number of students to the maximum number of students, i.e., from 10 to 10. Since the options given do not include 10, the correct answer is option 'D' (27).
To solve this problem, we need to determine the number of students who appeared for the exam given the following conditions:
- Each student attempted 45 questions.
- Each question carries equal marks.
- 3 marks are awarded for every correct answer.
- 2 marks are deducted for every wrong answer.
- 1 mark is deducted for every unanswered question.
- None of the students scored negative marks.
Approach:
Let's assume that 'x' students appeared for the exam. We'll use this assumption to solve the problem step by step.
Step 1: Calculating the maximum possible marks:
Since each question carries equal marks, the maximum possible marks in the examination would be:
Total marks = Number of questions x Marks per question = 150 x 3 = 450.
Step 2: Calculating the minimum possible marks:
In order to calculate the minimum possible marks, we need to consider the worst-case scenario for each student. Let's assume that a student attempted all the questions and answered them all incorrectly. In this case, the student would score:
Minimum marks = Number of attempted questions x (Marks per question - Marks deducted for each wrong answer) = 45 x (3 - 2) = 45 x 1 = 45.
Step 3: Calculating the maximum possible marks without negative scores:
Since none of the students scored negative marks, the minimum marks should be 0. Therefore, the maximum possible marks without negative scores would be:
Maximum possible marks without negative scores = Maximum possible marks - Minimum marks = 450 - 0 = 450.
Step 4: Calculating the maximum number of students:
To calculate the maximum number of students, we divide the maximum possible marks without negative scores by the minimum possible marks:
Maximum number of students = Maximum possible marks without negative scores / Minimum marks = 450 / 45 = 10.
Step 5: Calculating the minimum number of students:
To calculate the minimum number of students, we divide the maximum possible marks without negative scores by the maximum possible marks a student can score:
Minimum number of students = Maximum possible marks without negative scores / Maximum possible marks a student can score = 450 / 45 = 10.
Conclusion:
Based on the above calculations, the number of students who may have appeared for the exam can be any value from the minimum number of students to the maximum number of students, i.e., from 10 to 10. Since the options given do not include 10, the correct answer is option 'D' (27).
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Directions: In an examination of 150 marks, all questions carry equal marks. 3 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. All the questions are compulsory and one mark is deducted for every unanswered question.Q.A group of students appeared for the exam. Each of them attempted 45 questions and each of them obtained different marks. If none of the students scored negative marks, how many students may have appeared for the exam?a)29b)30c)28d)27Correct answer is option 'D'. Can you explain this answer?
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Directions: In an examination of 150 marks, all questions carry equal marks. 3 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. All the questions are compulsory and one mark is deducted for every unanswered question.Q.A group of students appeared for the exam. Each of them attempted 45 questions and each of them obtained different marks. If none of the students scored negative marks, how many students may have appeared for the exam?a)29b)30c)28d)27Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Directions: In an examination of 150 marks, all questions carry equal marks. 3 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. All the questions are compulsory and one mark is deducted for every unanswered question.Q.A group of students appeared for the exam. Each of them attempted 45 questions and each of them obtained different marks. If none of the students scored negative marks, how many students may have appeared for the exam?a)29b)30c)28d)27Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In an examination of 150 marks, all questions carry equal marks. 3 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. All the questions are compulsory and one mark is deducted for every unanswered question.Q.A group of students appeared for the exam. Each of them attempted 45 questions and each of them obtained different marks. If none of the students scored negative marks, how many students may have appeared for the exam?a)29b)30c)28d)27Correct answer is option 'D'. Can you explain this answer?.
Directions: In an examination of 150 marks, all questions carry equal marks. 3 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. All the questions are compulsory and one mark is deducted for every unanswered question.Q.A group of students appeared for the exam. Each of them attempted 45 questions and each of them obtained different marks. If none of the students scored negative marks, how many students may have appeared for the exam?a)29b)30c)28d)27Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Directions: In an examination of 150 marks, all questions carry equal marks. 3 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. All the questions are compulsory and one mark is deducted for every unanswered question.Q.A group of students appeared for the exam. Each of them attempted 45 questions and each of them obtained different marks. If none of the students scored negative marks, how many students may have appeared for the exam?a)29b)30c)28d)27Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In an examination of 150 marks, all questions carry equal marks. 3 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. All the questions are compulsory and one mark is deducted for every unanswered question.Q.A group of students appeared for the exam. Each of them attempted 45 questions and each of them obtained different marks. If none of the students scored negative marks, how many students may have appeared for the exam?a)29b)30c)28d)27Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: In an examination of 150 marks, all questions carry equal marks. 3 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. All the questions are compulsory and one mark is deducted for every unanswered question.Q.A group of students appeared for the exam. Each of them attempted 45 questions and each of them obtained different marks. If none of the students scored negative marks, how many students may have appeared for the exam?a)29b)30c)28d)27Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
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ample number of questions to practice Directions: In an examination of 150 marks, all questions carry equal marks. 3 marks are awarded for every correct answer and 2 marks are deducted for every wrong answer. All the questions are compulsory and one mark is deducted for every unanswered question.Q.A group of students appeared for the exam. Each of them attempted 45 questions and each of them obtained different marks. If none of the students scored negative marks, how many students may have appeared for the exam?a)29b)30c)28d)27Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice UPSC tests.
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