Roll No……………….
Examination
May-2014
BB-102:
Business Mathematics
Paper
ID-C0202
Time: 3 Hrs. Max
Marks: 60
SECTION-A
1. (i) If and then find (A-B).
(ii) Give
the truth table for the statement
(iii) Find
the roots of x2+2x-35 = 0
(iv) Evaluate
C (13,4) + C (13, 8).
(v) Using
Binomial theorem, expand (2x – y) 4.
(vi) Which
term of G.P. 2, 1, is
(vii) Determine
k, so that the function is continuous f (x) =
(viii) Find
derivative of log x + 9x2/3+
3a -7x.
(ix) Evaluate
log327.
(x) The
compound interest on the certain sum at 10% per annum for 2 years is Rs.630/-,
find the sum.
SECTION-B
2. (a) Check if relation R in the set
A={1,2,3,4,5,6}, defined as R={(x,y) : y is divisible by x)}, is reflexive, symmetric
and transitive.
(b) Solve the system of equations: 3x – 2y = 4;
2x + y = 5.
3. Find the
number of arrangements of the letters of the word INDEPENDECE. In how many of these
arrangements.
a. Do the words start with P?
b. Do all the vowels never occur together?
c. Do all the vowels always occur together?
d. Do the words begin with I and end P?
4. (a) Find the
coefficient of x7 in 11.
(b) Find the sum of all odd integers between 2
and 100 divisible by 3.
5. (a) Find , if
f(x) =
(b) If
possible, find the maxima and minima of
f(x) = ex.
6. (a) Solve
the equations 2x – y = -2 and 2x + 4y = 3, using Cramer’s rule.
(b) Solve
4x + y + z = 4, x + 4y - 2z = 4, 3x + 2y - 4z = 6, by Gauss Elimination method.
7. (a)
Find the value of log – 2 log + 3 log.
(b) If simple interest for
a certain sum of money at 10% per annum for 2 years is Rs.200/- , then what
will be the compound interest for the same sum of the money in same period?
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