## BBA (Sem. - 1st) BUSINESS MATHEMATICS SUBJECT CODE : BB -102 Paper ID : [C0202J

• Friday, March 01, 2013
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Roll No...........................
Total No. of Questions : 07]

[Total No. of Pages: 02

BBA (Sem. - 1st) BUSINESS MATHEMATICS SUBJECT CODE : BB -102 Paper ID : [C0202J JNote: Please fill subject code and paper IDon OMK|
Time : 03 Hours                                                                                                            Maximum Marks : 60
Instruction to Candidates:
1)           Section - A is Compulsory.
2)           Attempt any Four questions from Section - B.

Section - A
 rinciptes^
Ql)                                                                                                                                                               (10 *2 = 20)
a)        Briefly explain union of two sets.
b)        Differentiate y = x2 from first principles
c)        What is complement of a set?
d) Differentiate arithmetic and geometric progressions.
e)        What do mean by inverse of a matrix?
f)    What do you mean by domain of a function?,  L 1
g) The sum of two numbers is 52 and their difference is 2. Find the numbers.
h)which term of the progression -1,-3,-5....................... is - 39?
i)   What do you mean by scalar matrix?
j)   If x = m is one of the solutions of the equation 2x2 + 5x - m = 0. What will be the possible values of m?
Section - B
(4* 10 = 40)
Q2)  (a) If xy + y = ab. Find dyldx.
(b) Divide 25 into two parts so that sum of their reciprocals is 1/6.
Q3)  The cost function C of manufacturing a certain article is given by the formula: C = 5 + 48/x + 3x2
Where x is the number of articles manufactured. Find the minimum value of C.
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Q4)  (a) In an office there are 500 persons who smoke and 400 persons drink.
There are 200 persons who smoke and drink. Find how many persons do not drink but only smoke.
(b) Solve the following simultaneous system using matrices :
2x] + 3x2 = 9 3x. + 5x?= 12
Q5)  If a = log2J 12, b = log36 24 and c = log4g36 then prove that:
1 + abc - 2bc.
Q6)  Find the sum to n terms of the series
3 + 33 + 333 +..............
Q7)  How many different numbers can be formed by using any three out of five - digits 1, 2, 3, 4, 5, no digit being repeated in any number? How many of these will
(a)     Begin with a specified digit.
(b)     Begin with specified digit and end with another specified digit?

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