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

• Sunday, February 14, 2016

Roll No………..
Total No. of Question :07

Paper ID [C0202]
BBA (Sem .-1st )
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  Bc  Ac
b)      Verify that the proposition p(p  q ) is a tautology .
c)     If 15 Cr : 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 pth term of an A.P.is a and qth term is b . Prove that the sum of its
(p+ q ) term is
Q5.   a)       The rth,  sth  and tth  term of a G.P .are R ,S and T respectively .prove
That, Rs-t  St-r  Tr-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 .