Download PTU ( I.K.Gujral Punjab Technical University (IKGPTU)) The Bachelor of Business Administration (BBA) 2020 December 2nd Sem 10546 Business Mathematics Previous Question Paper
Roll No.
Total No. of Pages : 03
Total No. of Questions : 18
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
INST RUCT IONS T O CANDIDAT ES :
1 .
SECT ION-A is COMPULSORY cons is ting of TEN questions carrying TWO marks
each.
2 .
SECT ION-B cons ists of F OUR Sub-sec tions : Un its-I, II, III & IV.
3 .
Eac h Sub-section contains TWO questions each , carry in g T EN ma rks e ach .
4 .
Students have to atte mpt an y ONE ques tion from each Sub-section.
SECTION?A
1.
Two finite sets have m and n elements. The total number of subsets of the first set is 56
more than the total number of subsets of the second set. Find the values of m and n.
2.
State De-Morgan's Law.
3.
In a class of 25 students, 12 have taken economics, 8 have taken economics but not
politics. Find the number of students who have taken economics & politics and those who
have taken politics but not economics.
4.
Show by means of an example that the product of two non-zero matrices can be a zero
matrix.
1 0
2
5.
Let A
0 2 3
then show that | 3A | = 27 | A |.
0
0
5
9
9
12
6.
Without expanding prove 1
3
4
= 0.
1
9
12
7.
Use logarithms to solve the following equation : 3x = 2.
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dy
8.
Given y = (4x + 3)?5, find
.
dx
9.
Differentiate sin2 x3 w.r.t. x.
4
3
y
10. Find the 3rd term of 3x
6
SECTION-B
UNIT-I
11. a) State and prove inclusion-exclusion principle.
b) If A, B, C be any three sets, then prove that
(AUB) ? C = (A ? C) U (B ? C).
12. In a town of 10,000 families, it was found that 40% families buy newspaper A, 20%
families buy newspaper B and 10% newspaper C, 5% buy A and B, 3% buy B and C and
4% buy A and C. If 2% families buy all the three newspapers, find the number of families
which buy
a) A only
b) B only
c) only C
d) none of A, B and C.
UNIT-II
2
1
1
3
1 1
13. If A
1
2
1
and B
1 3
1
, find the product AB and use this result to
1 1
2
1 1
3
solve the following system of linear equations :
2x ? y + z = ?1 ; ?x + 2y ? z = 4 : x ? y + 2z = ? 3.
14. Using properties of determinants, prove that :
a
b
c
b
c
a = (a + b + c) (ab + bc + ca ? a2 ? b2 ? c2).
c
a
b
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UNIT-III
15. Show that of all rectangles with a given perimeter, the square has the largest area.
16. Differentiate the following function w.r.t. x :
a) tan?1 x4
b) log log log x3.
UNIT-IV
17. The coefficients of (r ? 1)th, rth and (r + 1)th terms in the expansion of (x + 1)n are in the
ratio 1 : 3 : 5. Find both n and r.
18. a) State and prove Logarithmic Base changing formula.
b) The value of machine when new is Rs. 20,000. It depreciates in its value at the rate of
3% per annum in the first 4 years and then at the rate of 5% per annum in the next six
years. What will be its value after 10 years?
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 15 February 2021