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Syllabus: Propositional and first order logic.

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

Most answered questions in Mathematical Logic

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511
A hash function h maps 16-bit inputs to 8-bit hash values. What is the largest k such that in any set of 1000 inputs, there are at least k inputs that h maps to the same ...
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522
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523
If |x| < 1. Find the sum to infinity of the series $3 + 8x + 13x^2 + 18x^3 + - \infty$$(3+2x)/(1-x^2)$$(3-2x)/(1+x^2)$$(2x-3)/(1-x^2)$$(3+2x)/(1+x^2)$
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524
Please solve this question
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526
How do we solve this question: $\lim n \to \infty \sqrt{n^2 + n} - {\sqrt{n^2 +1}}$
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527
Is the simplification that I have encircled, done right? because according to negation law (r ∨ ¬ r) ≡ T.
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528
Prove that :In triangular series1 = 11+2 = 31+2+3 = 61+2+3+4 = 10…………..Triangular number in 8n+1 always form perfect square .