Subject Code : BT0063
Weekly Test Series 10, Dated : 20 Dec - 2014
Subject : Mathematics for IT
Total Marks : 100
Duration : 2 hours
Instructions: Question NO 1to 10 each question carry 2marks.
Question No. 11 to 20 each question carry 10 marks. Answer any 8
from question no 11 to 20.
1.
Conjunction is denoted as
a.
b.
c.
d.
None
2.
In conditional, it is finally true it pq is
a.
p is true q is false
b.
q is true and p is false
c.
Both a and b
d.
None of these
3.
Which one is the cyclic group?
a.
a*b=b*a
b.
{1,w,w2 }
c.
Unit value
d.
None of these
4.
Two dices are thrown randomly what is the probability that their
sum is at least 9
a.
5/18
b.
4/18
c.
0.8
d.
None of these
5.
Two dices are thrown randomly what is the probability that their
sum is 9
a.
1/9
b.
2/9
c.
5/18
d.
None
6.
What is the value of the limit.
a.
1
b.
0
c.
Infinity
d.
None
7.
Which on the correct derivative of ex.tanx
a.
tanx+sec2x
b.
ex(tanx+sec2x)
c.
either a or b
d.
None
8.
Which one is the correct order and degree of the following :
dy/dx.y= x(dy/dx)2+1
a.
First order and Second degree
b.
Second order and First degree
c.
First order and First degree
d.
None of these
9.
What is the cube root of unity
a.
1
b.
-1
c.
1,
d.
None
10.
There are 20 person, 5 of them are graduated and 3 persons are
randomly selected from these 20 persons. Find the probability that
at least one of the selected person be graduated.
a.
1/3
b.
c.
d.
1/6
11.
One third of a students in a class are girls and the rest are
boys. The probability that a girl gets a first class is 0.4 and
that of a boy is 0.3. If a student having first class is selected,
find the probability that the selected student is a girl.
12.
Solve the following equations by using crammers rule
x + 2y + 3z = 3
3x 2y + 2z = 2
2x 2y + 3z = 2
13.
A bag contain 5 tennis balls and 4 cricket balls .three balls
are drawn randomly from the bag. Find the probability that
a) All the drawn balls are cricket balls.
b) At least one of the draw ball is cricket ball.
14.
A card is drawn from a pack of playing card. Find the
probability that the drawn card is
a. A spade or a king.
b. A King or a Queen.
15.
If xmyn=(x+y)m+n Find dy/dx
16.
x.(tan-1x)dx
17.
sin3x.cosx dx
18.
1.sinx-1xdx
19.
dx
20.
