Basic Mathematics-1, Question Paper of BSC IT 1st Semester,Download Previous Years Question Paper 4

Roll No…………….

Total No. of Questions :07

B.Sc.( IT) (Sem.-1^st)

BASIC  MATHEMATICS -1

Subject Code : BS -103

Paper ID : [B0402]

Time:3 Hrs.                                                                  Max Marks:60

INSTRUCTION TO CANDIDATES :

1.                SECTION –A is COMPULSORY consisting of  TEN question s carrying TWO marks each .

2.                 SECTION –B contains SIX question TEN marks each and students has to attempt  any FOUR questions.

                                                                   SECTION –A

1. Write briefly :

       (a) Empty set

      (b)Union of sets.

      (c) State Binomial Theorem for positive integral index .

     (d) Write dual of (A

                 (e) Prove that tan A+ cot A= sec A. cosec A.

                 (f) Construct a 2 x 3 matrix whose elements are given by a_ij=I + 2j.

                 (g) Calculate median Height,

                               Height (in cms): 72, 62, 54, 75, 40, 52, 77, 70, 45, 47, 55.

                 (h) Draw a one-way Table.

                 (i) Insert three geometric means between 3 and 48.

                 (j) Which term of series 12+9+6+….. is equal to -30?

SECTION –B

2.     (a) Find  A if A= { x: x = 3n + 1, n  5, n  N} and B = { x : x = 4n -5, n 5, n N}.

        (b) Find all partitions of  S= {1, 2, 3}.

3.     If sin   = , being an  acute angle , find the other t- rations of the angle .

4.     (a) Expand (a+3b )⁴using Binomial theorem.

        (b) Find the 10^th term in the expansion of (x-y²)¹⁴.

5.     If  A=   and B =   ,then find AB and BA .Is AB=BA?

6.     Calculate Mean, Media ,Mode for the Following data :

        Marks more then :  0         10        20       30      40      50

        No. of  students   :   50      46        40       20      10       3

7.     (a) If the 14^th term of an  arithmetic series is 6 and 6^th  term of    arithmetic  series  in 14, find 95 ^th term.

        (b) Sum  to n terms the series :

        7+77+777+……….