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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...
Average of roll no of 50 students= 38
sum of roll no.s = 38×50= 1900
average of roll no. when 48 students= 37.5
sum of roll no.s= 37.5×48=1800
so means sum of roll no.s of two students those get punishment is 1900-1800=100. which is possible only in third option (60 and 40).
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A class contains N students, having roll numbers 1,2,3....N. On a part...
Given information:
- There are N students in the class with 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.
- Two students are punished and sent out of the class.
- The average of the roll numbers of the students left in the class drops to 37.5.

To find:
The possible roll numbers of the students who have been sent out.

Solution:
Let's assume the roll numbers of the students who have been sent out are 'x' and 'y'.

Step 1: Finding the sum of roll numbers:
- Before the punishment, the sum of roll numbers of the 50 students present in the class is 50 * 38 = 1900 (as the average is 38).
- After the punishment, the sum of roll numbers of the students left in the class is (50 - 2) * 37.5 = 1750 (as the average is 37.5).
- The difference between the sum of roll numbers before and after the punishment is 1900 - 1750 = 150.

Step 2: Finding the possible roll numbers:
- As we know the sum of roll numbers of the two students who have been sent out is 150, we need to find two numbers whose sum is 150.
- The possible combinations can be (40, 110), (41, 109), (42, 108), ..., (59, 91).
- However, we need to consider that the roll numbers of the students in the class range from 1 to N.
- So, we can conclude that the possible roll numbers of the students who have been sent out are 40 and 60 (as they are within the range of student roll numbers).

Conclusion:
The possible roll numbers of the students who have been sent out are 40 and 60. Therefore, option C is correct.
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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 UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC 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 UPSC 2024 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?.
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