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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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Most viewed questions in Mathematical Logic

1 votes
2 answers
281
trace of matrix
If $\lambda^3 - 6\lambda^2 -\lambda +22=0$ is a characteristic equation of $3\ X\ 3$ diagonal matrix, then trace of matrix is
If $\lambda^3 - 6\lambda^2 -\lambda +22=0$ is a characteristic equation of $3\ X\ 3$ diagonal matrix, then trace of matrix is
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3 votes
3 answers
282
NTRO exam 2023
the solution of the linear congruence 4x = 5(mod9)? 6 (mod 9) 8 (mod 9) 9(mod 9) 10 (mod 9)
the solution of the linear congruence 4x = 5(mod9)? 6 (mod 9)8 (mod 9)9(mod 9)10 (mod 9)
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0 votes
1 answer
283
Proposition
X posed many puzzles about an island that has two kinds of inhabitants knights who always tells the truth, and their opposite knaves, who always lie. You encounter two people A and B. What are A and B if A says 'B is a knight' and B says 'two of us are of opposite types'?
X posed many puzzles about an island that has two kinds of inhabitants knights who always tells the truth, and their opposite knaves, who always lie. You encounter two pe...
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2 votes
1 answer
288
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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1 votes
1 answer
289
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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1 votes
4 answers
291
Associativity of implication?
a + b->c means (a + b)-> c or a + (b->c)?
a + b->c means(a + b)- c or a + (b->c)?
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2 votes
2 answers
295
Discrete Maths Graph theory
What are the necessary and sufficient conditions for Euler path and Circuit in directed graph?
What are the necessary and sufficient conditions for Euler path and Circuit in directed graph?
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0 votes
1 answer
297
GATE and general knowledge question
Check the validity of the argument "If Ram is married then he is sad. If he is sad then he does not watch TV.He doesnt watch TV.Therefore Ram is unmarried."
Check the validity of the argument "If Ram is married then he is sad.If he is sad then he does not watch TV.He doesnt watch TV.Therefore Ram is unmarried."
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3 votes
2 answers
298
Calculus
The maximum value of $\theta$ until which the approximation $\sin\theta \approx \theta$ holds to within $10\%$ error is $10^{\circ}$ $18^{\circ}$ $50^{\circ}$ $90^{\circ}$
The maximum value of $\theta$ until which the approximation $\sin\theta \approx \theta$ holds to within $10\%$ error is$10^{\circ}$$18^{\circ}$$50^{\circ}$$90^{\circ}$
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