## Sunday, February 14, 2016

• Sunday, February 14, 2016
• • ,
• No comments

Roll No……..
Total No. of Questions: 07
BBA (Sem.-1st)
SUBJECT CODE: BB-102
PAPER ID: [C0202]

Time: 3 Hrs.                                                                           Max. Marks: 60

Instruction to Candidates:

1.       Section-A is Compulsory.
2.       Attempt any Four questions from Section-B.

SECTION-A

Q1.
(a)     Define universal subset.
(b)     Prove that for set A, A A=A.
(c)      Define Disjunction.
(d)     Construct the truth table for p q.
(e)      Find 4th term from the end in the expansion of 9
(f)      The second term of G.P. is 24 and 5th term is 81. Find the series and   12th term.
(g)     If A= , the find Adj A.
(h)     Given log102= 0.30103. Calculate log10 .
(i)      In what time would a sum of money trouble itself at 8% compound interest .
(j)      Use definition of limit to prove that (2-3x)= -4.

SECTION-B

Q2.
(a)     If  b > a > 0 and C > 0, then prove.
(b)     Find the number of unordered sample of size five (repetition allowed)
From the set (a,b,c,d,e,f)
(i)      No further restrictions.
(ii)     a occur at least twice.
(iii)    a occurs exactly twice.

Q3.    Let f : X Y and g: Y Z and let f, g be one-one onto, then prove gof:
X is also one-one and onto and (gof)-1= f-1og-1.

Q4.    Use matrix inversion method to find the solution of equations.
2x-y+3z=9,
x+y+z=6,
x-y+z=2.

Q5.    Solve Q6.    Solve using Crammer’s Rule. 3x-2y+z=4, 2x+3y-z=3, x+y+z=8.

Q7.    (a)     Prove that = (b)     What is the rate percent per annum if a sum double itself in 17 years at compound interest.