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

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1&0&1&2&1&1&0&2&0&0&0&0.8&2
\\\hline\textbf{2 Marks Count} & 0 &2&1&0&0&1&1&0&1&2&0&0.8&2
\\\hline\textbf{Total Marks} & 1&4&3&2&1&3&2&2&2&4&\bf{1}&\bf{2.4}&\bf{4}\\\hline
\end{array}}}$$

Recent questions in Set Theory & Algebra

0 votes
1 answer
82
Let A={x,y,z}. The number of relations containing (x,y) and (x,z) which are reflexive and symmetric but not transitive is?
2 votes
1 answer
83
1 votes
1 answer
84
1 votes
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86
1 votes
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87
0 votes
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88
We have a set of cardinality 7. Suppose P is the power set of S. We have a subset of Power set, Ps such that every pair of elements (a, b) in subset is such that, either ...
1 votes
1 answer
89
Let X and Y be two sets having n elementseach. Then the total number of bijectivefunctions from X and Y is(A) n (B) 2n(C) n! (D) 2n
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91
Every group of prime order is always an abelian groupon this fact please explain how can a 2 element group be an abelian group, please give an example
1 votes
2 answers
92
Find inverse in a*b=a+b-ab for all a,b belongs to Q-{-1}. where Q is a rational number?please explain how the inverse will satisfy the equation of inverse(a*b=b*a=e)
1 votes
0 answers
94
If A = {1, 3,5,7,.......}Then (A, +) is semi group or not. Doubt :a +(b+c) =( a + b) +cSo associativity property is present But a + b doesn't belong to ASo closure prop...
0 votes
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95
1 votes
2 answers
96
Find a compatible total order for the divisibility relationon the set {1, 2, 3, 6, 8, 12, 24, 36}.
0 votes
1 answer
97
Question → If (G,*) is a group of order 960 and there exist a in G such that a^m=e for some integer m<=960 where e is identity element of G then total number of possibl...
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0 answers
99
1 votes
1 answer
100
Does the given solution is correct:When S is symmetric and transitive, if S contain (3,1),(1,3) then (3,3) should also be present form transitivity. Please verify the sol...