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## Basic Mathematics-1, Question Paper of BSC IT 1st Semester,Download Previous Years Question Paper 3

• Tuesday, December 08, 2015
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Roll No :______________
BS-103
May, 2014
BS-103 : BASIC MATHEMATICS-I

Time : 3 hours                                                              Maximum Marks : 60
Note :   Section A is compulsory of 20 marks. In Section B Attempt any four questions and of given six. Each carries 10 marks.
SECTION-A
Q.1. (a) Write the set for set  A={a,b,c}
(b) If R is relation from A to B Where A= {1,2,3,4}
B = { 6, 7, 8 } R  is  relation  x  R  y  if  X  divides  y.
(c) Deine symmetric matrix with an example.
(d) Write all the cofacters for matrix A= (e) Write  for calculating mode in continuous series.
(f) Find te mean of irst10 natural numbers.
(g) Deine union and Intersection of sets.
(h) Find the determenant of A = (i) Write the sum of  1 + 3 + 5 + 7 +___________+( 2n - 1)
(j) Write partition for set  A = {a, b, c}

SECTION-B
Q.2.   (a)
Evaluate (b) if  A = B = and    ( A + B )2   =   A2   +  B2  ind  a  and b

Q.3.   (a) If   A + B + C + D  =  π  Proved that
cosA  cosB + cosC. cosD  =  sinA  sinB + sinC  sinD
(b) If   A + B = 45°  show that
(1 +  tanA) (1 + tanB) = 2

Q.4.   (a) Find the sum of series
72 + 70 + 68 + __________+ 40.
(b) If  x = 1 + a + a2  +______ ∞,     y =  1 + b +b2 +_______ ∞  Proved          that.
1 + ab + a2  b2 + __________ ∞  = where  | a |   and   | b |  are less than 1

Q.5.   Find the mean, median, mode for following :-
 value : 15 20 25 30 35 40 45 50 55 frequency : 2 22 19 14 3 4 6 1 1

Q.6.   (a) List the sets A, B, C given that
AUB  =  {p,2 r, s }
AUC  =  {q, r, s, t }
A UB  =  { q, r }
A UB  =  { q, s }
(b)   In  a  class  of  25  students  ,  12  students  have  taken.  Economics,  &  have  taken  economics but not politics. Find the number of students who         have taken  economics and politics and those who have taken politics but not   economics.

Q.7. (a)
If   A= Show that A2 =0
(b)            If   A= B= Show that AB=0