Page 48 - Mathematics Class - XI
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Case-Study Based Questions
                                    Case-Study Based Questions

          A school is planning to host an online course of short duration. The school aims to make atleast ` 20,000 profit
          from selling the seat for the course. The school authority expect enrollments of at most 150 students. The
          school decides to charge ` 200 for each advance booking of the course and ` 250 each, if the course is bought
          2 hours before the scheduled time.
          Let x be the number of students who did the advance booking of course and y be the number of students who
          bought the course 2 hours before the scheduled time.
          Based upon the above information, answer the following questions.

             1.  Consider the condition given above, one of the inequalities is
                 (a)  x + y > 150        (b)  x + y > 150      (c)  x + y < 150         (d)  x + y < 150

             2.  Another inequality is
                 (a)  4x + 5y > 400      (b)  4x + 5y < 400    (c)  200x + 250y > 2000  (d)  4x + 5y > 400
             3.  Which one of the following ordered pair is not a solution of the inequality obtained in part (1)

                 (a)  (100, 25)          (b)  (83, 20)         (c)  (94, 66)            (d)  (265, 50)
             4.  Which one of the following ordered pairs satisfies the inequality obtained in part (2)
                 (a)  (60, 10)           (b)  (70, 30)         (c)  (23, 40)            (d)  (40, 17)





                              Assertion-Reason Based Questions
                              Assertion-Reason Based Questions

           Directions for Questions 1 to 2:  In each of the questions given below, there are two statements marked as
           Assertion (A) and Reason (R). Mark your answer as per the codes provided below:
             (a)  Both A and R are true and R is the correct explanation of A.
             (b)  Both A and R are true but R is not the correct explanation of A.
             (c)  A is true but R is false.
             (d)  A is false but R is true.
             Q. 1.  Assertion (A) :  The inequality ax + by < 0 is strict inequality.

                  Reason (R)    :  The inequality ax + b > 0 is slack inequality.
                                                     a    b
             Q. 2.  Assertion (A) :  If a < b, c < 0 then    <  .
                                                     c    c

                  Reason (R)    :  If both sides are divided by the same –ve quantity, then the inequality is reversed.



                                                         Answers

           Case-Study Based Questions:           1. (d)      2.  (a)       3.  (c)       4.  (b)
           Assertion-Reason Based Questions:  1. (b)          2.  (d)









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