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In an examination, a candidate attempts all the questions since there is no negative marking and all the questions carry equal marks. Out of the first 30 questions that he attempts, he has marked correct options for 20 questions whereas out of the remaining questions, he is able to mark only one third question with correct option. His overall score in the examination is 50%.
The total number of questions in the paper are;
- a)60
- b)75
- c)80
- d)cannot be determined
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In an examination, a candidate attempts all the questions since there ...
We can form equations based on the given information. Let ‘x’ be the number of questions attempted by him in the second part.
Or 40+ 2x/3 = 30 + x which leads us to get x/3 = 10 or x = 30
The total number of questions in the examination are x + 30 = 60
Most Upvoted Answer
In an examination, a candidate attempts all the questions since there ...
Given Information:
- The candidate attempts all the questions in the examination.
- There is no negative marking.
- All questions carry equal marks.
- Out of the first 30 questions attempted, 20 are correct.
- For the remaining questions, only one-third have the correct option.
- The overall score of the candidate is 50%.
To Find:
The total number of questions in the paper.
Solution:
Let's assume the total number of questions in the paper is 'x'.
Number of Correct Answers:
- Out of the first 30 questions, the candidate has answered 20 correctly.
- For the remaining questions (x - 30), the candidate has answered only one-third correctly.
- So, the total number of correct answers = 20 + (x - 30)/3
Overall Score:
The overall score is given as 50%.
We know that the overall score is calculated as:
Overall Score = (Total Marks Obtained / Total Marks) * 100
In this case, there is no information about the total marks. But since all questions carry equal marks, we can assume that each question carries 1 mark. Therefore, the total marks obtained by the candidate would be equal to the total number of correct answers.
So, the overall score can be written as:
50 = (Total Number of Correct Answers / Total Number of Questions) * 100
Evaluating the Equation:
Substituting the value of the total number of correct answers in the above equation:
50 = [(20 + (x - 30)/3) / x] * 100
Simplifying the equation:
50 = (20 + (x - 30)/3) / x * 100
50 = (20 * 3 + (x - 30)) / x * 100
50 = (60 + x - 30) / x * 100
50 = (30 + x) / x * 100
50x = 30 + x * 100
50x - 100x = 30
-50x = 30
x = 30 / -50
x = -0.6
Since the number of questions cannot be negative, the assumed value of 'x' is incorrect.
Conclusion:
The total number of questions in the paper cannot be determined based on the given information.
- The candidate attempts all the questions in the examination.
- There is no negative marking.
- All questions carry equal marks.
- Out of the first 30 questions attempted, 20 are correct.
- For the remaining questions, only one-third have the correct option.
- The overall score of the candidate is 50%.
To Find:
The total number of questions in the paper.
Solution:
Let's assume the total number of questions in the paper is 'x'.
Number of Correct Answers:
- Out of the first 30 questions, the candidate has answered 20 correctly.
- For the remaining questions (x - 30), the candidate has answered only one-third correctly.
- So, the total number of correct answers = 20 + (x - 30)/3
Overall Score:
The overall score is given as 50%.
We know that the overall score is calculated as:
Overall Score = (Total Marks Obtained / Total Marks) * 100
In this case, there is no information about the total marks. But since all questions carry equal marks, we can assume that each question carries 1 mark. Therefore, the total marks obtained by the candidate would be equal to the total number of correct answers.
So, the overall score can be written as:
50 = (Total Number of Correct Answers / Total Number of Questions) * 100
Evaluating the Equation:
Substituting the value of the total number of correct answers in the above equation:
50 = [(20 + (x - 30)/3) / x] * 100
Simplifying the equation:
50 = (20 + (x - 30)/3) / x * 100
50 = (20 * 3 + (x - 30)) / x * 100
50 = (60 + x - 30) / x * 100
50 = (30 + x) / x * 100
50x = 30 + x * 100
50x - 100x = 30
-50x = 30
x = 30 / -50
x = -0.6
Since the number of questions cannot be negative, the assumed value of 'x' is incorrect.
Conclusion:
The total number of questions in the paper cannot be determined based on the given information.
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In an examination, a candidate attempts all the questions since there is no negative marking and all the questions carry equal marks. Out of the first 30 questions that he attempts, he has marked correct options for 20 questions whereas out of the remaining questions, he is able to mark only one third question with correct option. His overall score in the examination is 50%.The total number of questions in the paper are;a)60b)75c)80d)cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
Question Description
In an examination, a candidate attempts all the questions since there is no negative marking and all the questions carry equal marks. Out of the first 30 questions that he attempts, he has marked correct options for 20 questions whereas out of the remaining questions, he is able to mark only one third question with correct option. His overall score in the examination is 50%.The total number of questions in the paper are;a)60b)75c)80d)cannot be determinedCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In an examination, a candidate attempts all the questions since there is no negative marking and all the questions carry equal marks. Out of the first 30 questions that he attempts, he has marked correct options for 20 questions whereas out of the remaining questions, he is able to mark only one third question with correct option. His overall score in the examination is 50%.The total number of questions in the paper are;a)60b)75c)80d)cannot be determinedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination, a candidate attempts all the questions since there is no negative marking and all the questions carry equal marks. Out of the first 30 questions that he attempts, he has marked correct options for 20 questions whereas out of the remaining questions, he is able to mark only one third question with correct option. His overall score in the examination is 50%.The total number of questions in the paper are;a)60b)75c)80d)cannot be determinedCorrect answer is option 'A'. Can you explain this answer?.
In an examination, a candidate attempts all the questions since there is no negative marking and all the questions carry equal marks. Out of the first 30 questions that he attempts, he has marked correct options for 20 questions whereas out of the remaining questions, he is able to mark only one third question with correct option. His overall score in the examination is 50%.The total number of questions in the paper are;a)60b)75c)80d)cannot be determinedCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In an examination, a candidate attempts all the questions since there is no negative marking and all the questions carry equal marks. Out of the first 30 questions that he attempts, he has marked correct options for 20 questions whereas out of the remaining questions, he is able to mark only one third question with correct option. His overall score in the examination is 50%.The total number of questions in the paper are;a)60b)75c)80d)cannot be determinedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination, a candidate attempts all the questions since there is no negative marking and all the questions carry equal marks. Out of the first 30 questions that he attempts, he has marked correct options for 20 questions whereas out of the remaining questions, he is able to mark only one third question with correct option. His overall score in the examination is 50%.The total number of questions in the paper are;a)60b)75c)80d)cannot be determinedCorrect answer is option 'A'. Can you explain this answer?.
Solutions for In an examination, a candidate attempts all the questions since there is no negative marking and all the questions carry equal marks. Out of the first 30 questions that he attempts, he has marked correct options for 20 questions whereas out of the remaining questions, he is able to mark only one third question with correct option. His overall score in the examination is 50%.The total number of questions in the paper are;a)60b)75c)80d)cannot be determinedCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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