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bca 1 sem business mathematics bba 102n dec 2016


 

BBA-102(N)

B. B. A. (First Semester)

EXAMINATION, Dec., 2016

(New Course)

Paper Second

BUSINESS MATHEMATICS

Time Three Hours]                              [ Maximum Marks 70

Note: Attempt questions from all Sections as directed.

Inst. The candidates are required to answer only in serial order. If there are many parts of a question, answer them in continuation.

Section-A

(Short Answer Type Questions)

Note: Attempt all questions from this Section. Each question carries 3 marks.

1. (A) Distinguish between the following:

(i) Scalar matrix and unit matrix.

(ii) Square matrix and non-singular matrix.

(B) Verify commutative law of addition for the following matrix:

 (C) Find the rank of the matrix

 (D) The price of petrol is increased by 15%. Find how much percent a man must reduce his consumption so as not to increase his expenditure.

(E) What do you understand by Ratio 'Proportion'? Explain with examples. and

(F) Insert five geometric means between 2 and 1458.

(G) There are 15 teachers is Science group of a school, 4 of them teach Maths only and 3 of them teach both Maths and Science. Find the number of teachers who teach Science only.

(H) Find the value of 'r' if:

(I) Differentiate the function w. r.t.x:

(a) (x4 - x) (5x3+ 6x - 7)

(b) y=(3x2+1)(x²+ 2x)

(J) Find the maximum and minimum values of the function:

(a) f(x)= 5 – x - 2

(b) f(x)-2x3 -9x²+12x-1

Section-B

BBA-102(N)

(Long Answer Type Questions)

Note: Attempt any two questions. Each question carries 10 marks.

2 Find the inverse of matrix

3. Using Gauss elimination method solve the following system of equations

2x + 3y + 3xz = 5

X + 2y + z = -4

3x – y – 2z = 3

4. Find the sum of AP G. P series:

1 + 2  + ……..

5. 72.90 litres of a mixture contains milk and water in the ratio of 7:2 How much more water must be added to this mixture so that the ratio of milk and water may be 7:3

Section C

(Long Answer Type Questions)

Note: Attempt any questions. Each question carries 10 marks

6.  Divide ? 6.305 into three such parts that their amounts at 5%, compound interest compounded annually in 2,3,4 years respectively may all be equal.

 

7. If:

U= (2,3,4,5,6,7,8,9,10,11,)

A = (2,4,7,)

B = (3,5,7,9,11,)

C = (7,8,9,10,11,)

find the value of the following:

(i) BC (ii) BC

(i) (AU)(BC)

(iv) C - B

(v) (B-C)

8. Evaluate of the following:

9. A party of 3 ladies and 4 gentleman is to be formed from & ladies and 7 gentlemen. In how many different ways can the party be formed if Mr. X and Mr. Y refuge to join the same party?


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