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Quantitative
Techniques
Complete Solved Question Paper
M.B.A 2yrs (1st Semester) (DE)
M.D. University, Rohtak
Examination-Jan. 2010
by
Narender Sharma
E-Book Code : QTSPJAN10
“Save Paper, Save Trees, Save Environment”

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www.shakehandwithlife.in
E-mail : shakehandwithlife@gmail.com , narender@shakehandwithlife.in
Contents
Unit I ......................................................................................................................................................................................................................2
Unit II.....................................................................................................................................................................................................................6
Unit III...................................................................................................................................................................................................................9
Unit IV ................................................................................................................................................................................................................ 13
Feedback........................................................................................................................................................................................................... 17

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Unit I
Que. 1 (a) Using Illustrations, explain the following:
I. Linear and non - Linear functions
II. Absolute and Inverse functions
Solution :
(i) Linear and non - Linear functions
Linear functions: When the variable are linearly dependent and the graph of the function is straight line
( ) a , a linear function
e.g.
y = 2+3x is the equation of linear function
the graph of this equation is straight line.
x 1 2 3 4
y =2+3x 5 7 11 14
Non – Linear Functions :
The functions which are not linear are called non linear functions. A quadratic or parabolic
function is called non – linear functions .
Equation of such type of functions are given below
( )
For example
0
2
4
6
8
10
12
14
16
18
1 2 3 4 5
Y
-
Axis
X-Axis
Linear functions
y=2+3x

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x 1 2 3 4 5
9 24 47 78 117
III. Absolute and Inverse functions
Absolute Function: ( ) ( )
x -3 -2 -1 0 1 2 3
( ) 3 2 1 0 1 2 3
Reciprocal/ Inverse Function: ( ) , ,
, , is unique
As (in reases) rom to , ( e reases) rom o to , ut never equa to
0
20
40
60
80
100
120
140
160
180
1 2 3 4 5 6
Y-Axis
X-Axis
Non- Linear Functions
0
0.5
1
1.5
2
2.5
3
3.5
-3 -2 -1 0 1 2 3
Y-Axis
X-Axis
Absolute Function
y