Roll No…….
Total No. of Questions:07
B.Sc(IT) (Sem.-1st)
BASIC MATHEMATICS-I
Subject Code: BS-103
Paper ID: B0402
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) Sum the series
51+50+49+………………..21.
(b) Define set.
(c) Define
cardinality of a set.
(d) What is
de-Morgan’s law?
(e) Define any two
properties of determinant.
(f) Define median
and mode.
(g) Write the nth
formula for A.P. and G.P.
(h) Define condition
for matrix multiplication.
(i) Write the
general term of (x+a)n.
(j) Define A.M. and
G.M.
SECTION-B
Q2. Expand the following: 2.
Q3. Solve for x,
Q4. Calculate the median from the following
Distribution:
Class
|
5-10
|
10-15
|
15-20
|
20-25
|
25-30
|
30-35
|
35-40
|
40-45
|
Frequency
|
5
|
6
|
15
|
10
|
5
|
4
|
2
|
2
|
Q5. The first term and second term of a G.P. are
192 and -48 respectively and the last
term is -3/256. Find the number of terms.
Q6. If the 1st term of an A.P. is 2 and sum of
first five terms is equal to one fourth
of the sum of next five terms. Find the sum of first 30 terms.
Q7. If A, B, C are any sets, prove that
(i) A−(B∪C) = (A−B)∩(A−C)
(ii) A−(B∩C) = (A−B)∪(A−C)
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