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Syllabus: Propositional and first order logic.

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

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Most answered questions in Mathematical Logic

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862
logic and predicate
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863
propositional logic
convert the following sentence in logic a mushroom is not poisonous unless it is purple. where mushroom ,purple ,poisonous are the propositional constants
convert the following sentence in logic a mushroom is not poisonous unless it is purple.where mushroom ,purple ,poisonous are the propositional constants
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864
UGC NET CSE | July 2018 | Part 2 | Question: 87
Match the following in $\textbf{List-I}$ and $\textbf{List-II}$, for a function $f$ ... $\text{(a)-(ii), (b)-(i), (c)-(iii)}$ $\text{(a)-(ii), (b)-(iii), (c)-(i)}$
Match the following in $\textbf{List-I}$ and $\textbf{List-II}$, for a function $f$ :$\begin{array}{clcl} \text{} & \textbf{List-I} & & \textbf{List-II} \\ \text{(a)} & ...
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865
#discrete
what is chromatic number for the above graph? also is it isomorphic ?
what is chromatic number for the above graph?also is it isomorphic ?
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866
probabilty
One in two hundred people in a population have a particular disease. A diagnosis test gives a false positive 3% of the time, and a false negative 2% of the time. Ross takes the test and the report comes positive. Find the probability that Ross has the disease.
One in two hundred people in a population have a particular disease. Adiagnosis test gives a false positive 3% of the time, and a false negative2% of the time. Ross takes...
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867
First Order Logic
Please explain the Question number 33 and 34. What is significance of word "only" ?
Please explain the Question number 33 and 34. What is significance of word "only" ?
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2 votes
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868
Set theory
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869
Relation
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1 votes
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870
Lattice
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872
Lattice
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2 votes
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873
Number of edges in Hasse Diagram
Let G be the graph defined as the the Hasse diagram for the ⊆ relation on the set P{1,2,...,n}.(n>0).Determine how many edges are there in G.
Let G be the graph defined as the the Hasse diagram for the ⊆ relation on the set P{1,2,...,n}.(n>0).Determine how many edges are there in G.
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874
combinotronics
At a party there are 15 men and 20 women. How many ways are there to form fifteen couples consisting of one man and one woman? is it p(20,15) How many ways are there to form ten couples consisting of one man and one woman?? is it 20C10 * 15C10??
At a party there are 15 men and 20 women.How many ways are there to form fifteen couples consisting of one man and one woman? is it p(20,15)How many ways are there to fo...
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878
What is the probability that a five-card poker hand contains the two of diamonds and the three of spades?
Ans :How answer is ((1C1)(1C1)(50C3))/(52C5)?
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879
Set theory
The number of multi sets of size 4 are possible with the elements of the set S={1,2,3,4,5,6} is ????? What does multi set refers to???
The number of multi sets of size 4 are possible with the elements of the set S={1,2,3,4,5,6} is ?????What does multi set refers to???
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880
Set theory
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