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## MATH -II (Computer Oriented Methods), BCA Question Paper

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Roll No...........................
Total No. of Questions : 13]                                                                     [Total No. of Pages : 03
Paper ID [A0211]
(Please fill this Paper ID in OMR Sheet)
BCA (301) (Old / S05) B.Sc. IT (404) (New) (Sem. - 3rd)
MATH -II (Computer Oriented Methods)
Time : 03 Hours                                                                                          Maximum Marks : 75

Instruction to Candidates:
1) Section - A is Compulsory.
2) Attempt any Nine questions from Section - B.

Section - A
Q1)                                                                                                    (15 × 2 = 30)
a) State the both Necessary and Sufficient Conditions for maxima or minima of a function.
b) Define a matrix and its rank.
c) When two matrices A and B are said to be conforable to multiplication?
d) Find the maxima or minima for the function f(x) = 2x3 - 21x2 + 36x - 20.
e) What is Gauss elimination method of solving system of simultaneous equations?
f) What is a determinant? Give its one important property.
g) Given Show that
(A + B) + C = A + (B + C)
h) What is measures of Dispersion? Name two important measures which you like.
i) What is a frequency distribution Table? Give its one use.
j) What is coefficient of skewness?
k) Compare and contrast Integral of a function and definite integral.
l) Explain Trapezoidal method of Numerical Analysis.
m) What is Simpson 1/3 rule? Give its one application.
n) Find the cost function for a product whose marginal cost function is MC= 5+8X, given that fixed cost is 250.
o) What is Integration by partial fractions? Give its one application.
Section - B
(9 × 5 = 45)  Q2) Find the value of     2     1     5
1     3     2  4     3     1
Q3) Find the inverse of A = 6      4      7
1     5      9
3     0      2       if it exist.
Q4) Solve the following system of Equations using matrix inverse method, if the solution exist.
5x + 7y = -2
4x + 6y = -3
Q5) Explain Gauss Jordan method of solving simultaneous Equations with an example. Also give its advantages over other methods.
Q6) Following is record of percentage of dividend declared by selected listed companies during the year.
% age of Dividend: 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45
No of Companies: 5 6 15 10 5 4 2 2 Calculate coefficient of variation for the data and interpret the results.
Q7) Compare and contrast the following as measures of central tendency.
(a) Mean v/s Median.
(b) Median v/s Mode.
(c) Percentile v/s Quartiles.