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

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

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Most answered questions in Set Theory & Algebra

3 votes
3 answers
147
UGC NET CSE | October 2020 | Part 2 | Question: 1
The number of positive integers not exceeding $100$ that are either odd or the square of an integer is _______ $63$ $59$ $55$ $50$
The number of positive integers not exceeding $100$ that are either odd or the square of an integer is _______$63$$59$$55$$50$
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2 votes
3 answers
153
ISI2019-MMA-19
Let $G =\{a_1,a_2, \dots ,a_{12}\}$ be an Abelian group of order $12$ . Then the order of the element $ ( \prod_{i=1}^{12} a_i)$ is $1$ $2$ $6$ $12$
Let $G =\{a_1,a_2, \dots ,a_{12}\}$ be an Abelian group of order $12$ . Then the order of the element $ ( \prod_{i=1}^{12} a_i)$ is$1$$2$$6$$12$
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8 votes
3 answers
155
ISRO2018-17
$(\text{G}, \ast )$ is an abelian group. Then $x= x^{-1}$ for any $x$ belonging to $\text{G}$ $x=x^{2}$ for any $x$ belonging to $\text{G}$ $\left( x \ast y \right )^{2}= x^{2} \ast y^{2}$ , for any $x, y$ belonging to $\text{G}$ $\text{G}$ is of finite order
$(\text{G}, \ast )$ is an abelian group. Then$x= x^{-1}$ for any $x$ belonging to $\text{G}$$x=x^{2}$ for any $x$ belonging to $\text{G}$$\left( x \ast y \right )^{2}= x^...
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0 votes
3 answers
156
Distributive lattice
Q)which of the following is not a distributive lattice? a) [P(A);$\preceq$ ] where A = { a,b,c,d } b) [ {1,2,3,5,30} ; / ]
Q)which of the following is not a distributive lattice?a) [P(A);$\preceq$ ] where A = { a,b,c,d }b) [ {1,2,3,5,30} ; / ]
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13 votes
3 answers
157
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 $(x,y) \in S \Rightarrow x = y$
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1 votes
3 answers
158
ISRO-2017-Q4
The function f:[0,3]->[1,29] defined by f(x)=2*X^3 -15*X^2+36*X+1 is a) injective and surjective b) injective but not surjective c) injective but not surjective d) neither injective nor surjective
The function f:[0,3]->[1,29] defined by f(x)=2*X^3 -15*X^2+36*X+1 isa) injective and surjectiveb) injective but not surjectivec) injective but not surjectived) neither in...
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3 votes
3 answers
159
ISRO-DEC2017-8
The number of elements in the power set of $\{\{1,2\},\{2,1,1\},\{2,1,1,2\}\}$ is $3$ $8$ $4$ $2$
The number of elements in the power set of $\{\{1,2\},\{2,1,1\},\{2,1,1,2\}\}$ is$3$ $8$ $4$ $2$
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