Total No. of Questions [Total No. of Pages 02
BBM/BBA DEGREE EXAMINATION, MAY 2018
Examination at the End of First Year)
First Year
Business Mathematics
Time 3 Hours Maximum Marks 70
Answer any five questions
All questions carry equal marks
Q1) What is Information? Explain the role of Information in decision making process?
Q2) If c be the sums of r terms respectively of an A.P. then show that

0
a q r b r p c p q
p q r
− −

ii) The letters of the word ZENITH are written in all possible order. How many words are
possible? If these words are written out as in a dictionary, What is the rank of the word
ZENITH?
Q3) Write the properties of limits
ii) Evaluate
2
3 1
x 2
x
Lim
→ x
− −
−
Q4) Write the properties of addition and subtraction of vectors.
ii) Find the angle between two vectors i 2 j 3k

− and 3i 2 j k

−
Q5) Solve the following simultaneous equations by matrix inverse method.
3x 4y − 6z 4x y − z 24; x −3y − 2z =1.
ii) What is determinant? Explain its properties with suitable examples.
Q6) Explain the concept of maxima and minima
ii) Find the maxima and minima for the functions.
4 3 2 3 45 8 105
4 2
f x − x − x − x
Q7) Evaluate 2 2
2

x
dx
x x
ii) Resolve 2
5 2

x
x x x
−
−
in partial fractions.
Q8) Explain OR modelling process
ii) Explain various OR techniques in brief.
Q9) Solve the following LPP by graphical method minimize(z) 3x+2y; subject to
5x y x y x 4y y 0