Basic Mathematics-1, Question Paper of BSC IT 1st Semester,Download Previous Years Question Paper 2

Roll  No……….

Total  No.  of Questions :  07

B.Sc.  (IT)  (Sem.–1st)

BASIC   MATHEMATICS-I

Subject Code: BS-103

Paper ID:  [B0402]

Time :  3  Hrs.                                                              Max.  Marks :  60

INSTRUCTION  TO  CANDIDATES  :

1. SECTION-A  is  COMPULSORY  consisting  of  TEN  questions  carrying TWO  marks  each.

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

SECTION-A

l. Write  briefly :

          (a) Prove  that A    U = A.

          (b) Define power set with an example.

           (c) Find the value of sin  .

           (d) If A =, and B =.  Find  3A  –  2B.

           (e) Find  the n^th term of the sequence

                    5,    2,  –  1, –  4,  –  7,  ....

          (f) Define median.  Give formula to compute median in continuous series.

          (g) Evaluate 10C₁ + 10C₂ + 10C₃ +....  +10C₁₀ .

           (h) Define minors and Co-factors of determinant.

          (i) The  following  table  gives  the marks  obtained  by  B.  Com.  Students       with Roll. No. 1  to 10. Obtain average  marks of the  students.

Roll No.	1	2	3	4	5	6	7	8	9	10
Marks	43	48	65	57	31	60	37	48	78	59

           (j) Explain the relationship between A.M. and G.M.

SECTION-B

2.       What  is  Frequency distribution table? Explain  the  various  kinds  of  class

          intervals in which data can be arranged in a Frequency distribution.

3.       If the p^th, q^th, r^th  terms  of  a  G.P.  are x,  y,  z  respectively.  Prove  that

          x^q – r  . y^r  – p  . z^p – q  =  1.

4.       Show that

5.       If A,  B  and  C are  three sets, then  prove  that

          A  (B  –  C)  =  (A   B)  –  (A   C).

6.       Find  the coefficient  of x^–2 in  ⁸.

7.       For  two  matrices  A  and  B,  A =  , B =  0  2 ,  verify           that  (AB)^T = B^T  . A^T.