Discrete Mathematics
Set Theory & Algebra
Marks 1Marks 2Marks 5
Linear Algebra
Marks 1Marks 2
Combinatorics
Marks 1Marks 2
Mathematical Logic
Marks 1Marks 2Marks 5
Probability
Marks 1Marks 2
1
GATE CSE 1996
MCQ (Single Correct Answer)
+1
-0.3
Which of the following statements is false?
A
The set of rational numbers is an abelian group under addition.
B
The set of integers is an abelian group under addition.
C
The set of rational numbers from an abelian group under multiplication.
D
The set of real numbers excluding zero is an abelian group under multiplication.
2
GATE CSE 1995
MCQ (Single Correct Answer)
+1
-0.3
The number of elements in the power set $$P(S)$$ of the set $$S = \left\{ {\left\{ \phi \right\},1,\left\{ {2,3} \right\}} \right\}$$ is
A
$$2$$
B
$$4$$
C
$$8$$
D
None of the above
3
GATE CSE 1995
MCQ (Single Correct Answer)
+1
-0.3
Let $$R$$ be a symmetric and transitive relation on a set $$A$$. Then
A
$$R$$ is reflexive and hence an equivalence relation.
B
$$R$$ is reflexive and hence partial order.
C
$$R$$ is not reflexive and hence not an equivalence relation.
D
None of the above.
4
GATE CSE 1993
MCQ (Single Correct Answer)
+1
-0.3
Let $$S$$ be an infinite set and $${S_1},\,\,{S_2},....\,\,{S_n}$$ be sets such that $${S_1} \cup {S_2} \cup ....... \cup {S_n} = S$$. Then
A
At least one of the sets $${S_i}$$ is a finite set.
B
Not more than one of the sets $${S_i}$$ can be finite
C
At least one of sets $${S_i}$$ is infinite
D
Not more than one the sets $${S_i}$$ is an a infinite set.
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization