Business Mathematics, Question Paper of BBA 1st Semester,Download Previous Years Question Paper 5

Roll No………..

Total No. of Question :07

Paper ID [C0202]

BBA (Sem .-1^st )

BUSINESS MATHEMATICS (BB – 102 )

Time :03 Hours                                                                      Max Marks :60

Instruction to Candidates :

1.       Section –A is Compulsory .

2.       Attempt any Four questions from Section –B .

                                      Section –A

Q1.    a)      If A and B are two sets then show that , A B  B^c  A^c

          b)      Verify that the proposition p(p  q ) is a tautology .

           c)     If ¹⁵ C_r : ¹⁵C _r-1 =11:5 find r .

           d)     State Binomial theorem for positive integral index .

          e)       If x, 2x +2, 3x +3, ------  are  in G .P. find the fourth term .

          f)       Evaluate  .

          g)       What is the maximum value of  ?

           h)     State Cramer`s  rule to solve simultaneous equations .

          i)       If a, b, c, are in A.P ., then prove that , (a – c )² = 4 ( b² – ac)

          j)       Show that , 7 log  + 5log  +3 log   =log2 .

                                                Section –B

Q2.    a)       for any two sets A and B , show that ,(A. .

          b)      For any logical  statements p, q and r , show that ,p  (qr) =(p q )

                    (p  r ) .

Q3.    a)       Solve 3x² -4  =4x-4 .

b)      Find the number of different permutations of the letter of the word          BANANA.

Q4.   a)       Find the term independent of x in the expansion of (3x -)^15.

              b)      The p^th term of an A.P.is a and q^th term is b . Prove that the sum of its

                  (p+ q ) term is  

Q5.   a)       The r^th,  s^th  and t^th  term of a G.P .are R ,S and T respectively .prove

                  That, R^s-t  S^t-r  T^r-s =1 .

        b)      Evaluate ,

Q6.   a)       If y =   + log [x+ ] ,prove that  =.

        b)      Find the maximum value of the product of two numbers whose sum is

                  12.

Q7.   a)       State and prove the base changing formula of logarithms .

        b)      Solve the = ns ,3x +y + 2z= 3; 2x  -3y –z = -3; x-2y + z = 4 by using

                  matrix inversion method .