Roll
No …………….
Total
No. of Questions :07
B.Sc.(IT)
(Sem.-1)
BASIC
MATHEMATICS-1
Subject
Code : BS -103
Paper
ID : [B0402]
Time
:03 Max
Marks :60
INSTRUTION
TO CANDIDATES :
1.SECTION-A
is COMPULSORY .
2.ATTEMPT
any FOUR questions from .SECTION –B.
SECTION-A
1.
(a) If A={1,2,3,4,5,},B={2,3,} find
A\B,B\A.
(b) ) If A has 32 elements. B has 42
elements ,and A B
has 62 elements, Indicate no. of
elements in AB.
(c) Find X and Y, if X+ Y=B.
(c) Find X and Y, if X+ Y=.
(d) The third term of an AP is 18 and
the seventh term is 30. Find the 16th
term.
(e) Which term of the series:
7+28+112+……..is 7168?
(f) Find the value of sin 75O.
(g) Differentiate between AP and GP.
(h) Find the mean of first n natural
numbers.
(i) Write the formula for calculating
median in continuous series.
(j) Define Partition of a set with
example.
SECTION-B
2. State and prove De Morgan’s Law for sets.
3. If A= Show that A2-4A-51=0.
4. (a) The AM of 12
items is 21. If one more item is added to this series the AM becomes 20. Find the 13th
term.
(b) Find the sum
of following series: 8++…….+
5. (a) Prove that
(b) Simplify
6. From the following
data, find the missing frequencies:
Size
|
10
|
12
|
14
|
16
|
18
|
20
|
Frequency
|
3
|
7
|
?
|
20
|
8
|
5
|
7.
(a) For which values of x, will:
()
(b) Without expanding, find the
determinant of
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