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A class contains N students, having roll numbers 1,2,3....N. On a particular day only 50 students turn up for the class. The average of the roll numbers of the students present on that day is 38. A teacher punishes two students and sends them out of the class. The average of the roll numbers of the students who are left in the class drops to 37.5. Choose the correct statement from the options given below.
  • a)
    The roll numbers of students who have been sent out may be 41 and 49.
  • b)
    The roll numbers of students who have been sent out may be 40 and 50.
  • c)
    The roll numbers of students who have been sent out may be 40 and 60.
  • d)
    Nothing can be predicted regarding the roll numbers of the students sent out of the class.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A class contains N students, having roll numbers 1,2,3....N. On a part...
Total of 50 roll numbers= 50 × 38 = 1900
Total of 48 roll numbers = 37.5 × 48 = 1800
Sum of the roll numbers of the students who have been sent out = 1900 – 1800 = 100.
Community Answer
A class contains N students, having roll numbers 1,2,3....N. On a part...
Understanding the Problem
The class has N students with roll numbers from 1 to N. On a given day, 50 students are present, and their average roll number is 38.
Calculating Total Roll Numbers
- Total roll numbers of present students = Average * Number of students
- Total = 38 * 50 = 1900
After Punishment
When two students are punished and sent out, the average roll number of the remaining 48 students drops to 37.5.
- New total roll numbers of remaining students = 37.5 * 48 = 1800
Finding the Sum of Punished Students' Roll Numbers
The difference in total roll numbers before and after punishment helps us find the sum of the roll numbers of the punished students:
- Sum of roll numbers of punished students = Original total - New total
- Sum = 1900 - 1800 = 100
Possible Roll Numbers of Punished Students
Now we need to find pairs of roll numbers that add up to 100. Evaluating the options:
- a) 41 and 49: 41 + 49 = 90 (Incorrect)
- b) 40 and 50: 40 + 50 = 90 (Incorrect)
- c) 40 and 60: 40 + 60 = 100 (Correct)
- d) Nothing can be predicted: Incorrect, as we can determine pairs.
Conclusion
Thus, the correct option is (c) 40 and 60, as they are the only pair that sums to 100, satisfying the conditions of the problem.
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A class contains N students, having roll numbers 1,2,3....N. On a particular day only 50 students turn up for the class. The average of the roll numbers of the students present on that day is 38. A teacher punishes two students and sends them out of the class. The average of the roll numbers of the students who are left in the class drops to 37.5. Choose the correct statement from the options given below.a)The roll numbers of students who have been sent out may be 41 and 49.b)The roll numbers of students who have been sent out may be 40 and 50.c)The roll numbers of students who have been sent out may be 40 and 60.d)Nothing can be predicted regarding the roll numbers of the students sent out of the class.Correct answer is option 'C'. Can you explain this answer?
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A class contains N students, having roll numbers 1,2,3....N. On a particular day only 50 students turn up for the class. The average of the roll numbers of the students present on that day is 38. A teacher punishes two students and sends them out of the class. The average of the roll numbers of the students who are left in the class drops to 37.5. Choose the correct statement from the options given below.a)The roll numbers of students who have been sent out may be 41 and 49.b)The roll numbers of students who have been sent out may be 40 and 50.c)The roll numbers of students who have been sent out may be 40 and 60.d)Nothing can be predicted regarding the roll numbers of the students sent out of the class.Correct answer is option 'C'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A class contains N students, having roll numbers 1,2,3....N. On a particular day only 50 students turn up for the class. The average of the roll numbers of the students present on that day is 38. A teacher punishes two students and sends them out of the class. The average of the roll numbers of the students who are left in the class drops to 37.5. Choose the correct statement from the options given below.a)The roll numbers of students who have been sent out may be 41 and 49.b)The roll numbers of students who have been sent out may be 40 and 50.c)The roll numbers of students who have been sent out may be 40 and 60.d)Nothing can be predicted regarding the roll numbers of the students sent out of the class.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A class contains N students, having roll numbers 1,2,3....N. On a particular day only 50 students turn up for the class. The average of the roll numbers of the students present on that day is 38. A teacher punishes two students and sends them out of the class. The average of the roll numbers of the students who are left in the class drops to 37.5. Choose the correct statement from the options given below.a)The roll numbers of students who have been sent out may be 41 and 49.b)The roll numbers of students who have been sent out may be 40 and 50.c)The roll numbers of students who have been sent out may be 40 and 60.d)Nothing can be predicted regarding the roll numbers of the students sent out of the class.Correct answer is option 'C'. Can you explain this answer?.
Solutions for A class contains N students, having roll numbers 1,2,3....N. On a particular day only 50 students turn up for the class. The average of the roll numbers of the students present on that day is 38. A teacher punishes two students and sends them out of the class. The average of the roll numbers of the students who are left in the class drops to 37.5. Choose the correct statement from the options given below.a)The roll numbers of students who have been sent out may be 41 and 49.b)The roll numbers of students who have been sent out may be 40 and 50.c)The roll numbers of students who have been sent out may be 40 and 60.d)Nothing can be predicted regarding the roll numbers of the students sent out of the class.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
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