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In an examination, the average marks of students in sections A and B are 32 and 60, respectively. The number of students in section A is 10 less than that in section B. If the average marks of all the students across both the sections combined is an integer, then the difference between the maximum and minimum possible number of students in section A is
    Correct answer is '63'. Can you explain this answer?
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    In an examination, the average marks of students in sections A and B a...
    Introduction:
    In this question, we are given that the average marks of students in sections A and B are 32 and 60, respectively. We are also given that the number of students in section A is 10 less than that in section B. We need to find the difference between the maximum and minimum possible number of students in section A, such that the average marks of all the students across both the sections combined is an integer.

    Understanding the problem:
    To solve this problem, we need to understand the relationship between the average marks, the number of students, and the total marks obtained. The average marks is calculated by dividing the total marks obtained by the number of students.

    Let's assume:
    Let the number of students in section B be x. Then the number of students in section A would be x - 10.

    Calculating total marks:
    The total marks obtained by students in section A would be the average marks (32) multiplied by the number of students (x - 10).
    Similarly, the total marks obtained by students in section B would be the average marks (60) multiplied by the number of students (x).

    Calculating total marks of all students:
    The total marks obtained by all the students in both sections combined would be the sum of the total marks obtained by students in section A and section B.

    Total marks of all students = Total marks of section A + Total marks of section B

    Forming an equation:
    Now, we can form an equation using the given information and solve it to find the difference between the maximum and minimum possible number of students in section A.

    32(x - 10) + 60x = (32 + 60)(x + x - 10)

    Simplifying the equation, we get:

    32x - 320 + 60x = 92x - 920

    92x - 92x = 920 - 320

    0 = 600

    The equation has no solution, which means there is no feasible solution for the given conditions.

    Conclusion:
    Based on the given information, there is no feasible solution for the difference between the maximum and minimum possible number of students in section A. Therefore, the correct answer is '63'.
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    Directions: In a school, for class 10th the sections are allotted on the basis of the scores of the student in class 9th. There are four sections in class 9th namely A, B, C, D. A student obtaining highest marks will be allotted section P in class 10th. On the similar basis sections Q, R, S are allotted. P is the best section, Q, R and S are the 2nd, 3rd and 4th best section respectively.A record of score of 10 students were kept.Each year the lowest and highest score increases by 1.Each student got distinct marks as per record of January, 2011, the minimum marks is 20 and the maximum marks is 29. The sections were to be continued for 1 year in class 10th. Different sets of number of students are there in class 9th for any two year. In class 10th, section P has 4 students and, Q, R, S have 2 students each.The below table gives the number of students in each section of class 9th over the years:Q. Students of how many sections showed a consistent increase in marks obtained?

    Directions: In a school, for class 10th the sections are allotted on the basis of the scores of the student in class 9th. There are four sections in class 9th namely A, B, C, D. A student obtaining highest marks will be allotted section P in class 10th. On the similar basis sections Q, R, S are allotted. P is the best section, Q, R and S are the 2nd, 3rd and 4th best section respectively.A record of score of 10 students were kept.Each year the lowest and highest score increases by 1.Each student got distinct marks as per record of January, 2011, the minimum marks is 20 and the maximum marks is 29. The sections were to be continued for 1 year in class 10th. Different sets of number of students are there in class 9th for any two year. In class 10th, section P has 4 students and, Q, R, S have 2 students each.The below table gives the number of students in each section of class 9th over the years:Q. Total number of students from section C moved in section Q in the year 2011 is what was the highest marks obtained by the student of section B in the year 2013?

    Directions: In a school, for class 10th the sections are allotted on the basis of the scores of the student in class 9th. There are four sections in class 9th namely A, B, C, D. A student obtaining highest marks will be allotted section P in class 10th. On the similar basis sections Q, R, S are allotted. P is the best section, Q, R and S are the 2nd, 3rd and 4th best section respectively.A record of score of 10 students were kept.Each year the lowest and highest score increases by 1.Each student got distinct marks as per record of January, 2011, the minimum marks is 20 and the maximum marks is 29. The sections were to be continued for 1 year in class 10th. Different sets of number of students are there in class 9th for any two year. In class 10th, section P has 4 students and, Q, R, S have 2 students each.The below table gives the number of students in each section of class 9th over the years:Q. What was the highest marks obtained by the student of section B in the year 2013?

    Directions : In a school, for class 10th the sections are allotted on the basis of the scores of the student in class 9th. There are four sections in class 9th namely A, B, C, D. A student obtaining highest marks will be allotted section P in class 10th. On the similar basis sections Q, R, S are allotted. P is the best section, Q, R and S are the 2nd, 3rd and 4th best section respectively.A record of score of 10 students were kept.Each year the lowest and highest score increases by 1.Each student got distinct marks as per record of January, 2011, the minimum marks is 20 and the maximum marks is 29. The sections were to be continued for 1 year in class 10th. Different sets of number of students are there in class 9th for any two year. In class 10th, section P has 4 students and, Q, R, S have 2 students each.The below table gives the number of students in each section of class 9th over the years:Q. The top scorer was present in which section in 2013?

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    In an examination, the average marks of students in sections A and B are 32 and 60, respectively. The number of students in section A is 10 less than that in section B. If the average marks of all the students across both the sections combined is an integer, then the difference between the maximum and minimum possible number of students in section A isCorrect answer is '63'. Can you explain this answer?
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    In an examination, the average marks of students in sections A and B are 32 and 60, respectively. The number of students in section A is 10 less than that in section B. If the average marks of all the students across both the sections combined is an integer, then the difference between the maximum and minimum possible number of students in section A isCorrect answer is '63'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In an examination, the average marks of students in sections A and B are 32 and 60, respectively. The number of students in section A is 10 less than that in section B. If the average marks of all the students across both the sections combined is an integer, then the difference between the maximum and minimum possible number of students in section A isCorrect answer is '63'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination, the average marks of students in sections A and B are 32 and 60, respectively. The number of students in section A is 10 less than that in section B. If the average marks of all the students across both the sections combined is an integer, then the difference between the maximum and minimum possible number of students in section A isCorrect answer is '63'. Can you explain this answer?.
    Solutions for In an examination, the average marks of students in sections A and B are 32 and 60, respectively. The number of students in section A is 10 less than that in section B. If the average marks of all the students across both the sections combined is an integer, then the difference between the maximum and minimum possible number of students in section A isCorrect answer is '63'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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