Business Mathematics, Question Paper of BBA 1st Semester,Download Previous Years Question Paper 2

Roll No…………..

Total No. of .Questions :07

Paper ID [BB102 ]

BBA (Sem.-1^st)

BUSINESS MATHEMATICS (BB -102)

Time :03 Hrs                                                                Max Marks :60  

Instruction to Candidates :

1.       Section –A is Compulsory .

2.       Attempt any Four question from Section –B .

                                      Section –A

Q1.

          a)       For any two sets A and B show that ,A  B  A  B

          b)      Construct the truth for p v  q

          c)       If ⁸C r -⁷ C ₃ = ⁷C ₂ , find r .

          d)      Using Binomial theorem , evaluate (99 )^5.

                e)       If a ,b ,c are in AP show that  b + c , c + a, a + b are also in A.P.

          f)       A function is defined as ,f(x)=  for x ≠ 1=2 for x =1

                   Test its continuity at x= 1 .

          g)       Find the maximum value of 1-x².

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

          i)       If the sum of the series 2,5,8,11,…...is 60100, then find n .

          j)       Which is greater ; log ₂3 or log 5.

                                                Section –B

Q2.    a)       For any two sets A and B , show that ,(A ∩ B)^c =A^c  B^{c .}

b)      For any logical statements p ,q and r show that ,p v (q  ^  r)=(p v q) ^ (p v r ).

Q3.    a)       Solve x² -   =4x+6 .

          b)      How many different words can be formed out of the letters of the  

                   word ALLAHABAD ?In how many of them the  vowels occupy the

                   even positions ?

Q4.    a)      Prove that the coefficient of  x ⁿ  in the expansion of (1+x )^2x-1.

          b)      Sum to n terms the series ,. 7+ . 77 + .777+ ….

Q5.    a)      If in an A.P . , the sum of p terms in equal to the sum of q terms ,

                   then prove that the sum of p + q terms is zero .

          b)      If a ≠ 0 then evaluate

Q6.    a)      If  x^{y =}y^{x ,} prove that  = .

          b)      Divide 64 into two parts such that the sum of the cubes of two

                   parts is minimum .

Q7.    a)      Apply Gauss elimination method to solve the equations , x+ 4y

                   -z=-5 ; x+ y -6z = - 12; 3x –y-z =4 .

          b)      Find the value of ,