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

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