Roll No……..
Total No. of
Questions: 07
BBA
(Sem.-1st)
BUSINESS
MATHEMATICS
SUBJECT
CODE: BB-102
PAPER
ID: [C0202]
Time: 3 Hrs. Max.
Marks: 60
Instruction to
Candidates:
1.
Section-A is Compulsory.
2. Attempt any Four questions from
Section-B.
SECTION-A
Q1. Write short notes on:
(a) Union
of Sets.
(b) If
a, b, c, d are +ve real numbers, then a > b, c > d
a+c > b+d.
![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif)
(c) Solve: ![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image004.gif)
![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image004.gif)
(d) How many permutations of the letter of word
APPLE are there?
(e) Define Conditional Statement.
(f) Show that
.
![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif)
(g) Find derivative of ![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image008.gif)
![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image008.gif)
(h) Evaluate log381.
(i) Find nth term of an A.P. whose sum of n
terms is 3n2+n.
(j) Give example of a matrix to show that AB=0
even if A
0, B
0.
![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image010.gif)
![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image010.gif)
SECTION-B
Q2. (a) Prove that A![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image012.gif)
![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image012.gif)
(b) If f(x)=2x show that f(x+3) – f(x-1)=![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image014.gif)
![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image014.gif)
Q3. (a) Find the 5th term in the
expansion of
7.
![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image016.gif)
(b) If 14th term of an A.P. is 6 and
6th term is 14 find 95th term.
Q4. Find Maximum and
Minimum value of function:
F(x)=x3+15x2+48x+7.
Q5. (a) Prove that log![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image018.gif)
![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image018.gif)
(b) Find
the truth table for ![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image020.gif)
![](file:///C:/Users/user/AppData/Local/Temp/msohtmlclip1/01/clip_image020.gif)
Q6. How many different words containing all the
letters of the word ‘SOCIETY’ can be formed? Also find the number of different
seven letter words formed from the letters of the/word ‘SOCIETY’ if each word:
(i) Begins with S
and end with Y.
(ii) To have vowels never together.
Q7. Use Cramer’s Rule to
find solution of the equation:
2x- y+ 3z = 9
x + y + z = 6
x – y + z = 2
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