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Electrical Engineering

There are three different categories of jobs A, B and C. The average salary of the students who got the job of A and B categories is Rs.32 lakh per annum. The average salary of the student who got the job of B and C category is 54 lakh per annum. And the average salary of those students who got the job of A and C is Rs.44 lakh per annum. The most appropriate (or closet) range of average salary of all the three categories (if it is known that each student gets only one category for jobs i.e, A, B and C): A) lies between 30 & 44 B) lies between 48 & 56 C) lies between 38 & 45 D) lies between 49 & 50

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There are three different categories of jobs A, B and C. The average salary of the students who got the job of A and B categories is Rs.32 lakh per annum. The average salary of the student who got the job of B and C category is 54 lakh per annum. And the average salary of those students who got the job of A and C is Rs.44 lakh per annum. The most appropriate (or closet) range of average salary of all the three categories (if it is known that each student gets only one category for jobs i.e, A, B and C): A) lies between 30 & 44 B) lies between 48 & 56 C) lies between 38 & 45 D) lies between 49 & 50
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Answer: C)

Let the number of students who got the jobs of A, B and C categories is a, b and c respectively,

∴Total salary of Aand B = 32 (a +b)

∴Total salary of B and C = 54 (b+ c)

∴ Total salary of A and C = 44 (a +c)

Then the total salary = 32(a+b)+54(b+c)+44(a+c)/2(a+b+c)

 = 76a+86b+98c / 2(a+b+c)

 = 38a+43b+49c /(a+b+c)

 = 38 (a+b+c)+(5b+11c)/(a+b+c)

 = 38 +some positive value

∴ So the minimum salary must be Rs.38 lakh and the maximum salary cannot exceed 45, which is the highest

of the three..
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