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

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Roll No…………….
Total No. of Questions :07
B.Sc.( IT) (Sem.-1st)
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 aij=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 10th 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 14th term of an  arithmetic series is 6 and 6th  term of    arithmetic  series  in 14, find 95 th term.
(b) Sum  to n terms the series :
7+77+777+……….