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Syllabus: Propositional and first order logic.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}&\textbf{2024-1}&\textbf{2024-2}&\textbf{2023}& \textbf{2022}& \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count}&0&1&1& 0 & 1&1&0&0.67&1
\\\hline\textbf{2 Marks Count}&0&0&0&0 & 0&0&0&0&0
\\\hline\textbf{Total Marks}& 0&1&1& 0 & 1&1&\bf{0}&\bf{0.67}&\bf{1}\\\hline
\end{array}}}$$

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Recent questions in Mathematical Logic

1 votes
1 answer
1502
Sub-groups
Find all subgroups of a cyclic group of order 12. Also what is the number of generators? Doubt: I got subgroups as a, a2, a3, a4, a6 and a12. How to identify the identity element among these?
Find all subgroups of a cyclic group of order 12. Also what is the number of generators?Doubt: I got subgroups as a, a2, a3, a4, a6 and a12. How to identify the identity ...
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0 votes
0 answers
1503
does this limit exists ?
limit x->0 (1/|x|) exists or not
limit x->0 (1/|x|) exists or not
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0 votes
0 answers
1506
Gate 2015 ECE
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0 votes
0 answers
1507
eigen vectors
A = [ 1 2 3 0 2 3 0 0 2 ] a)number of linearily indepenedent eigen vectors b)number of linearily dependent eigen vectors
A = [ 1 2 3 0 2 3 0 0 2 ]a)number of linearily indepenedent eigen vectorsb)number of linearily dependent eigen vectors
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2 votes
1 answer
1508
probability
Suppose 3 dice are rolled. the probability that sum of the numbers of the dice is 10 is ____________
Suppose 3 dice are rolled. the probability that sum of the numbers of the dice is 10 is ____________
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0 votes
0 answers
1509
solving equations
the system x+y+3z=0 4x+3y+kz=0 2x+y+2z=0 has a non zero solution when k=?
the system x+y+3z=04x+3y+kz=02x+y+2z=0has a non zero solution when k=?
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1 votes
1 answer
1510
solving equation
-X^3 + X^2 -X -1=0 from this how do we find possible values of X
-X^3 + X^2 -X -1=0from this how do we find possible values of X
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2 votes
1 answer
1511
simple graph
a)if a simple graph with n vertices is necessarily connected the minimum and maximum number of edges is (n-1) and nC2 am i right? b)is a simple graph is always a connected graph? if not then y?
a)if a simple graph with n vertices is necessarily connected the minimum and maximum number of edges is (n-1) and nC2am i right?b)is a simple graph is always a connected ...
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0 votes
1 answer
1513
relations
Let R be a reflexive relation on set A for any three elements a,b,c belongs to A if (aRb and bRc) +> (cRa) then which if the following is true? a)R is symmetric but not transitive b)R is transitive but not symmetric c)R is an equivalence relation d)R is neither symmetric nor transitive
Let R be a reflexive relation on set Afor any three elements a,b,c belongs to Aif (aRb and bRc) + (cRa) thenwhich if the following is true?a)R is symmetric but not transi...
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1 votes
2 answers
1517
self doubt
Find the total number of equivalent relations possible on a set S={4,7,1}. is there any other way to solve it without using bell formula?
Find the total number of equivalent relations possible on a set S={4,7,1}.is there any other way to solve it without using bell formula?
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3 votes
1 answer
1518
LU Decomposition
Find the value of a+b where a is for numerator and b is for denominator of l32 in the matrix A i am getting l32 as 32/(-51) plz confirm
Find the value of a+b where a is for numerator and b is for denominator of l32 in the matrix A i am getting l32 as 32/(-51) plz confirm
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2 votes
1 answer
1520
is statement written in red also true ?? anyone
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