Total No. of questions : 071 Total No. of Pages : 02
Time : 03 Hours Maximum Marks : 60
lnstruction to Candidates:
1) Section - A is Compulsory.'
2) Attempt any Four questions from Section - B.
a) Briefly explain union of two sets.
b) Differentiate : from first principles.
c) What is complement of a set?
d) Differentiate arithmetic and geometric progressions.
e) What do mean by inverse of a matrix?
f) What do you mean by domain of a function?
g) The sum of two numbers is 52 and their differences 2. Find the numbers.
h) Which term of the progression I , - 3,- 5 .........i.s - 39?
r) What do you mean by scalar matrix?
j) If x : m is one of the solutions of the equation 2x2 * 5x - m: 0. What
will be the possible values of m?
Section - B
(a) If xt't Yr: ab. Find dYldx.
(b) Divide 25 into two parts so that sum o f their reciprocals is 1/6.
Q3) The cost function C of manufacturing certain article is given by the formula:
C:5+48/x*3xr Where x is then umber of articles manufactured F.in d the ruthenium value of
Q4) (a) In an office the reare 500 persons who smoke and 400 persons drink.
There are 200 persons u 'ho smoke a nd drink. Find how tnanyp ersons
do not drink but only smoke.
(b) Solvet hef ollowings iinultaneoussy sternu singm atrices:
2x, + 3x,: 9
3x, + 5xr:72
Q5) lf a: log.,Ir 2 , b : log"u24a ndc : logrr36t henp rovet hat :
1 + abc :Zhc.
Q6) Find the sum to r terms of the series
Q7) How many different numbers can be formed by using any three out of five
. digits l, 2, 3, 4, 5, no digit being repeatedin any number?H ow many of
(a) Beginwith a specifiedd igit.
(b) Begin with specified digit and end with another specified digit?