Download PTU BBA 2020 March 2nd Sem 10546 Business Mathematics Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) BBA (Bachelor of Business Administration) 2020 March 2nd Sem 10546 Business Mathematics Previous Question Paper

1 | M- 10546 (S12)-2001
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
BBA (2014 to 2017)/BRDM/B.SIM (2014 & onwards) (Sem. 2)
BUSINESS MATHEMATICS
Subject Code : BBA-203
M.Code : 10546
Time : 3 Hrs. Max. Marks : 60

INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B consists of FOUR Sub-sections : Units-I, II, III & IV.
3. Each Sub-section contains TWO questions each, carrying TEN marks each.
4. Students have to attempt any ONE question from each Sub-section.

SECTION?A
1. a) If log 2 = 0.3010, find log 64.
b) Prove that log
a
m = log
b
m ? log
a
b.
c) Define Diagonal and transpose of matrix.
d) Find cofactor of 3 in
1 2 3
4 3 6
3 2 0
? ? ?
? ?
? ?
? ?
? ?

e) If y = x sin x, find
dy
dx
.
f) Find second order derivative of
2
2
x x
?
? ? .
g) Expand (2x + 3y)
5

h) Find general term in the expansion of
5
1
2x
x
? ?
?
? ?
? ?
.
i) Define derivative
j) Evaluate
1 3 5 1
4 6 0 3
8 2 3 0
? ? ? ? ?
? ? ? ?
? ? ? ?
? ? ? ? ?
? ? ? ?
.
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1 | M- 10546 (S12)-2001
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
BBA (2014 to 2017)/BRDM/B.SIM (2014 & onwards) (Sem. 2)
BUSINESS MATHEMATICS
Subject Code : BBA-203
M.Code : 10546
Time : 3 Hrs. Max. Marks : 60

INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B consists of FOUR Sub-sections : Units-I, II, III & IV.
3. Each Sub-section contains TWO questions each, carrying TEN marks each.
4. Students have to attempt any ONE question from each Sub-section.

SECTION?A
1. a) If log 2 = 0.3010, find log 64.
b) Prove that log
a
m = log
b
m ? log
a
b.
c) Define Diagonal and transpose of matrix.
d) Find cofactor of 3 in
1 2 3
4 3 6
3 2 0
? ? ?
? ?
? ?
? ?
? ?

e) If y = x sin x, find
dy
dx
.
f) Find second order derivative of
2
2
x x
?
? ? .
g) Expand (2x + 3y)
5

h) Find general term in the expansion of
5
1
2x
x
? ?
?
? ?
? ?
.
i) Define derivative
j) Evaluate
1 3 5 1
4 6 0 3
8 2 3 0
? ? ? ? ?
? ? ? ?
? ? ? ?
? ? ? ? ?
? ? ? ?
.
2 | M- 10546 (S12)-2001
SECTION-B
UNIT-I
2. The value of the machine depreciates at the rate of 7% p.a. If present value of machine is
Rs. 70,250, find the value after
3
4
4
years.
3. Suppose that 100 of the 120 Mathematics students at a college take at least one of the
languages French, German and Russian. Also suppose 65 study French, 45 German,
42 study Russian, 20 study French and German, 25 study French and Russian, 15 study
German and Russian.
a) Find the number of students studying all the subjects.
b) Find the number of students studying exactly one subject.
UNIT-II
4. Using Crammer?s rule, solve x + 2y = 10, 2x ? y ? z = 8, ?2y + z= 7.
5. Find inverse of
1 2 0
2 1 2
0 1 1
? ?
? ?
? ? ?
? ?
? ? ?
? ?
.
UNIT-III
6. An open box with square base is to be made of a given quantity of a card board area c
2
.
Show that maximum volume of the box is
3
6 3
c
.
7. Differentiate (sin x)
cos x
.
UNIT-IV
8. a) Find 9
th
term in expansion of
12
2
3 x a
a
x
? ?
?
? ?
? ?
.
b) The second, third and fourth terms in the expansion of (x + y)
n
are 240, 720 and 1080
respectively. Find the values of x, y and n.
9. a) Find the coefficient of x
4
, in the expansion of
2
(1 3 ) 1
,| |
1 2 2
x
x
x
?
?
?
.
b) If the coefficient of three successive terms in the expansion of (1 +x)
n
are the ratio of
1 : 3 : 5, then find the value of n.

NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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This post was last modified on 01 April 2020