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CAT Exam Model Paper 3 with solutions for free online practice
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Question : 67
Total: 100
Section III
Quantitative Aptitude
There are three categories of jobs A,B and C. The average salary of the students who got the job of A and B categories is 26 lakh per annum. The average salary of the students who got the job of B and C category is 44 lakh per annum and the average salary of those students who got the job of A and C categories is 34 lakh per annum. The most appropriate (or closets) range of average salary of all the three categories (if it is known that each student gets only one category of jobs i.e., A, B and C)
lies between 30 and 44
lies between 28 and 34
lies between 34 and 43
lies between 29 and 48
Validate
Solution:
(a) Let the number of students who got the jobs of A,B and C categories be a,b and c, respectively.
Then the total salary
=
26
(
a
+
b
)
+
44
(
b
+
c
)
+
34
(
c
+
a
)
2
(
a
+
b
+
c
)
=
60
a
+
70
b
+
78
c
2
(
a
+
b
+
c
)
=
30
(
a
+
b
+
c
)
+
(
5
b
+
9
c
)
a
+
b
+
c
=
30
+
some
positive
value
So, the minimum salary must be ₹ 30 lakh and the maximum salary can not exceed 44, which is the highest of the three.
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