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Syllabus: Propositional and first order logic.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022}& \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count}& 0 & 1&1&0&0&0&2&1&1&1&0&0.7&2
\\\hline\textbf{2 Marks Count}&0 & 0&0&1&1&1&1&0&0&1&0&0.5&1
\\\hline\textbf{Total Marks}& 0 & 1&1&2&2&2&4&1&1&3&\bf{0}&\bf{1.7}&\bf{4}\\\hline
\end{array}}}$$

Questions without a selected answer in Mathematical Logic

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1
how to check the validity of an a argument using laws of logics
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2
A non empty set A is termed as an algebraic structure ________a)with respect to binary operation *b)with respect to ternary operation ?c)with respect to binary operation ...
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4
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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24
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25
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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26
Find recurrence relations that are satisfied by the sequence formed from the followingfunctions.(a) an = n!/15! (b) an = n2 − 6n + 8
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29
How many strings are there of lowercase letters of length four or less, not counting the empty string?
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30
Please solve this question
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