Register

Web Page

Syllabus: Sets, Relations, Functions, Partial orders, Lattices, Monoids, Groups.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}&\textbf{2024-1} &\textbf{2024-2} &\textbf{2023} & \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} &1&1&0& 1&0&1&0&0.83&1
\\\hline\textbf{2 Marks Count} &1&1&2& 0 &2&1&0&1.16&2
\\\hline\textbf{Total Marks} & 3&3&4&1&4&3&\bf{1}&\bf{3}&\bf{4}\\\hline
\end{array}}}$$

Filter

Most viewed questions in Set Theory & Algebra

5 votes
2 answers
1
How many transitive relations are there on a set with n elements if a)n=1   b) n=2  c) n=3
How many transitive relations are there on a set with n elements if a)n=1 b) n=2 c) n=3
How many transitive relations are there on a set with n elements ifa)n=1 b) n=2 c) n=3
User Avatar
13 votes
3 answers
2
relation
Number of relations $S$ over set $\{0,1,2,3 \}$ such that $(x,y) \in S \Rightarrow x = y$
Number of relations $S$ over set $\{0,1,2,3 \}$ such that $(x,y) \in S \Rightarrow x = y$
User Avatar
19 votes
2 answers
3
On a set of n elements, how many relations are there that are both irreflexive and antisymmetric?
On a set of n elements, how many relations are there that are both irreflexive and antisymmetric? Please explain how to calculate .
On a set of n elements, how many relations are there that are both irreflexive and antisymmetric?Please explain how to calculate .
User Avatar
37 votes
6 answers
4
GATE CSE 2005 | Question: 7
The time complexity of computing the transitive closure of a binary relation on a set of $n$ elements is known to be: $O(n)$ $O(n \log n)$ $O \left( n^{\frac{3}{2}} \right)$ $O\left(n^3\right)$
The time complexity of computing the transitive closure of a binary relation on a set of $n$ elements is known to be:$O(n)$$O(n \log n)$$O \left( n^{\frac{3}{2}} \right)...
User Avatar
4 votes
2 answers
6
Gate Discrete Maths
Consider the lattice D30 a)Draw the Hasse Diagram of D30. b) Is D30 complemented? c) Is D30 distributive?
Consider the lattice D30a)Draw the Hasse Diagram of D30.b) Is D30 complemented?c) Is D30 distributive?
User Avatar
56 votes
6 answers
9
GATE CSE 1997 | Question: 6.3
The number of equivalence relations of the set $\{1,2,3,4\}$ is $15$ $16$ $24$ $4$
The number of equivalence relations of the set $\{1,2,3,4\}$ is$15$$16$$24$$4$
User Avatar
60 votes
5 answers
10
GATE CSE 2007 | Question: 21
How many different non-isomorphic Abelian groups of order $4$ are there? $2$ $3$ $4$ $5$
How many different non-isomorphic Abelian groups of order $4$ are there?$2$$3$$4$$5$
User Avatar
52 votes
15 answers
11
GATE CSE 2015 Set 2 | Question: 40
The number of onto functions (surjective functions) from set $X = \{1, 2, 3, 4\}$ to set $Y=\{a,b,c\}$ is ______.
The number of onto functions (surjective functions) from set $X = \{1, 2, 3, 4\}$ to set $Y=\{a,b,c\}$ is ______.
User Avatar
24 votes
6 answers
15
GATE CSE 1995 | Question: 1.20
The number of elements in the power set $P(S)$ of the set $S=\{\{\emptyset\}, 1, \{2, 3\}\}$ is: $2$ $4$ $8$ None of the above
The number of elements in the power set $P(S)$ of the set $S=\{\{\emptyset\}, 1, \{2, 3\}\}$ is:$2$$4$$8$None of the above
User Avatar
10 votes
3 answers
16
ISRO2007-29
The set of all Equivalence Classes of a set A of Cardinality C is of cardinality $2^c$ have the same cardinality as A forms a partition of A is of cardinality $C^2$
The set of all Equivalence Classes of a set A of Cardinality Cis of cardinality $2^c$have the same cardinality as Aforms a partition of Ais of cardinality $C^2$
User Avatar
Page: