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Syllabus: Propositional and first order logic.

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

Recent questions in Mathematical Logic

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1351
example of function : in which a constant and characteristic root is 1 with multiplicity m
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1353
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1354
R = { (1,2 ) } is antisymmetric right
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1355
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1 answer
1356
Hoew many ways 10 roses can be distributed among 3 girls ??
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1357
state true or false?(i)can a simple path repeat an edge if yes give an example?(ii) if bridge exist in graph then it is necessary that a cut-point also exist ?
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1359
3 votes
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1360
if 8 coins are tossed then find the probability that no two heads appear consecutively??
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1361
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1362
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1364
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1365
1 0 0 00 2 0 00 0 3 00 0 0 4As I know eigen values are 1,2,3,4.Where correspond Eigen value 1 Eigen vector are in terms of a,b,c,d b=02c=03d=0What will be Eigen vector?
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1367
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1368
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1369
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1370
Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of X?