Mathematics Specializations and Problems
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Questions and Answers

What specializations were originally offered at the college?

  • MatEco and Arts
  • Science and Arts (correct)
  • Arts and Humanities
  • Science and Technology

    • After 20 students switched from Arts to MatEco, how was the relationship between the number of Science and Arts students described?

  • Science students were equal to Arts students.
  • Science students were three times Arts students.
  • Science students were twice the number of Arts students. (correct)
  • Arts students were more than Science students.

    • How many students switched from Science to MatEco?

  • 30
  • 50
  • 45 (correct)
  • 60

    • What is the total number of students originally enrolled in Arts after switches to MatEco?

    <p>40</p> Signup and view all the answers

    What is the total number of students from Classes I to IV?

    <p>462</p> Signup and view all the answers

    If the total number of students from Class I to V is double that of Class VI to X, what can be concluded about the total from Class VI to X?

    <p>231</p> Signup and view all the answers

    What is the fixed daily cost for running the movie theatre?

    <p>Rs. 10,000</p> Signup and view all the answers

    What is the maximum possible profit from the movie theatre after considering occupancy and ticket sales?

    <p>Rs. 95,000</p> Signup and view all the answers

    Study Notes

    College Specializations

    • Students can specialize in Science, Arts, or MatEco.
    • Science students take Physics and Mathematics.
    • Arts students take Economics and Political Science.
    • MatEco students take Economics and Mathematics.
    • Students cannot take subjects outside their specialization.
    • 20 Arts students switch to MatEco, making the number of Science students twice the number of Arts students.
    • 45 Science students switch to MatEco, making the number of Arts students twice the number of Science students.

    Arithmetic Progression

    • The number of students in each class from Class I to Class X forms an arithmetic progression.
    • The total number of students in Class I through Class V is twice the total number of students in Class VI through Class X.
    • The total number of students in Class I through Class IV is 462.

    Equation with x

    • The equation is (x^2 - 5x + 6)(x^2 + 5x + 6) = 0.
    • The question asks for the number of different values of x that satisfy the equation.

    Movie Theatre Profit

    • The daily cost of running the theatre is Rs. 10,000 plus Rs. 5,000 per show.
    • The theatre has 200 seats.
    • A new movie premiered on Friday with three shows.
    • The ticket price for the first two shows was Rs. 250 each.
    • The ticket price for the late-night show was Rs. 200.
    • The total occupancy for all shows was 80%.
    • The question asks for the maximum profit possible.

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    Description

    This quiz covers various mathematical concepts including student specializations in different fields and their related problems. It also explores arithmetic progressions and quadratic equations. Test your understanding of these topics and see how well you apply mathematical principles.

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