Download DSGT qbs (1) (1)

Question Bank For IA1_DSE(DSGT)
Sr no.
Question
1 The statement (p->q) v (q->p) is
2 Let f and g be the function from the set of integers to itself,
defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition
of f and g is ____________
Option1
Contradiction
6x + 9
Option2
Tautology
6x + 7
Option3
Contingent
6x + 6
Option4
none
6x + 8
3 What would be the conjunctive normal form of ~[(p v ~q) Λ ~r]
(p v r) Λ (~p v
q)
(r v ~p) Λ (r v
q)
(q v r) Λ (~p v
q)
(p v q) Λ (~p v
q)
2
Contradiction
3
none
4
10
4
8
4 The logic statement (~p Λ q)Λ(q -> p) is
5 How many are born at exactly same hour, minute and second
among 1,00,000
6 Let the students who likes table tennis be 12, the ones who like
lawn tennis 10, those who like only table tennis are 6, then
number of students who likes only lawn tennis are, assuming there
are total of 16 students.
7 A={1,2,3} B={3,5,6} & C={0,1,4,5,7,8} which of the following
may be considered as universal set for all the three sets A,B & C?
Marks
1
2
Tautology
1
Contingent
1
2
1
16
2
{0}
{1,2,3,4,5,6,7,8, {0,1,2,3,4,5,6,7, {1,2,3,4,5,6,7,8,
....}
8,9,10}
9}
1
8 For the statement “If I come early then I can get a car”. Select
correct contrapositive statement.
9 Following is not a type of Function
If I cannot get a
If I cannot
If I can get a car None of above
car then I
come early then then I can come
cannot come
I cannot get a
early
Surjective
Bijective
Onto
Trijective
early
car
10 Let A = {1, 2, 3, 4}, and let R ={(1, 2),(2, 3),(3, 4),(2, 1)}. Find
the transitive closure of R.
R={(1,1),(1,2), R={(1,1),(1,2), R={(1,1),(1,2),
(1,3)(1,4),(2,1), (1,3)(1,4),(2,1), (1,3)(1,4),(2,2),
(2,2),(2,3),(2,4), (2,2),(2,3),(2,4),
(2,3),(2,4),
(3,4)}
(3,4),(4,3)}
(3,4)}
11 If function f: A->B is both one-to-one and onto then f is called as
______
Surjective
12 What equation would you form for “the product of three
consecutive numbers is divisible by 6 ” to proof by Mathematical
Induction.
13 Equivalence Relation is ____________________
n(2n)(3n)=6m
14 If there is a bijection between two sets A and B then _______
15 A relation is said to be _____if whenever xRy, yRz then we have
xRz.
16 If A is a subset of B then _______
17 How many friends must you have to guarantee that at least 4 of
them will have birthdays in the same month?
18 If f(x)=x and g(x)= |x| then fog(-3.5) is-----
Bijective
2
Injective
Trijective
n*m*p=6m
none of above
1
n(n+1)(n+2)
=6m
1
Reflexive,
Irreflexive,
Reflexive,
Reflexive,
Symmetric and Symmetric and Antisymmetric Symmetric and
Transitive
Transitive
and Transitive
Asymmetric
Cardinality of A Cardinality of B Cardinality of B None of the
is greater than is greater than
is equal to A
mentioned
B
A
Anti symmetric
Symmetric
Transitive
Reflexive
1
1
The cardinality The cardinality
of A is greater of B is greater
than B
than A
48
49
Cardinality is
same
None of the
mentioned
37
36
1
-3.5
fog does not
exist
None
19 Recursive Formula for defining numeric equation is called as____
Difference
Equation
Recurrence
Relation
Complex
Equation
Diffraction
Equation
20 " The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)}
on the set {1, 2, 3} is __________"
reflective,
symmetric and
transitive
irreflexive,
symmetric and
transitive
neither
reflective, nor
irreflexive but
transitive
irreflexive and
antisymmetric
Speak truth.
Are you
interested in
mathematics?
The sky is blue.
Arise, awake
and stop not till
the goal is
reached
TRUE
FALSE
none
ambiguous
{(1,4),(4,7),
(7,4),(1,13)}
{(1,4),(1,7),
(1,13),(4,4),
(4,7),(7,4),
(7,7)}
{(1,4),(1,7),
(4,4),(4,7),(7,4),
(7,7)}
{(1,4),(1,7),
(1,13),(4,4),
(7,7)}
40
50
60
55
22
1
None
3.5
21 Which of these is statement?
1
1
1
1
2
2
23 Let A={1,4,7,13} , R={(1,4),(4,7),(7,4),(1,13)}. Find the
transitive closure by Warshall’s algorithm.
24 In a group of 300 persons, 160 drink tea and 170 drink coffee, 80
of them drink both, How many persons do not drink either?
25 How many even 4 digit whole numbers are there?
2
1
1358
7250
4500
3600
1
26 Amit must choose a seven-digit PIN number and each digit
can be chosen from 0 to 9. How many different possible PIN
numbers can Amit choose?
27 An integer is called a nice integer if it is not divisible by any of
the numbers 3; 5 or 7. How many nice integers are there between
1 and 500 (both included) ?
28 In a class, there are boy students and girl students. Two students
are said to best friends if they are of the same gender as well as
their birthday lies in the same month. What is the minimum
number of students in the class which ensures that there are at
least two students in the class who are best friends?
10000000
229
9900000
220
67285000
270
39654900
269
1
1
13
12
24
25
2