Gorakhpur University
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) (A∩U)(B∪C)
(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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Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur
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