Question 88

A premier B-school, which is in process of getting an AACSB accreditation, has 360 second year students. To incorporate sustainability into their curriculum, it has offered 3 new elective subjects in the second year namely Green Supply Chain, Global Climate Change & Business and Corporate Governance. Twelve students have taken all the three electives, and 120 students have taken Green Supply Chain. There are twice as many students who study Green Supply Chain and Corporate Governance but not Global Climate Change & Business, as those who study both Green Supply Chain and Global Climate Change & Business but not the Corporate Governance, and 4 times as many who study all the three. 124 students.study Corporate Governance. There are 72 students who could not muster up the courage to take up any of these subjects. The group of students who study both Green Supply Chain and Corporate Governance but not Global Climate Change & Business is exactly the same as the group made up of the students who study both Global Climate Change & Business and Corporate governance. How many students study Global Climate Change & Business only?

Solution

With the help of given information we can make Venn diagram:

                                                   

                           It's given that   e=2d= 4(12)=48 and d=48/2= 24

                             So                    e= 12+f  so f=e-12=48-12=36

                            total number of students in GSC= 120 =a+e+d+12

                                             a=120-48-24-12 =36

                             Similarly in case of CG,   CG=124=c+e+f+12

                                               c=124-12-48-36=28

                                   total number of students a+b+c+d+e+f+g+12=360

                                          36+b+28+24+48+36+72+12=360

                                                b=104 


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