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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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Recent questions in Mathematical Logic

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781
self doubt
How many nonisomorphic directed simple graphs are there with n vertices, when n is a) 2? b) 3? c) 4?
How many nonisomorphic directed simple graphs are there with n vertices, when n isa) 2? b) 3? c) 4?
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1 answer
782
self doubt
How much storage is needed to represent a simple graph with n vertices and m edges using a) adjacency lists? b) an adjacency matrix? c) an incidence matrix? Rosen_discrete_mathematics section 10.4 question 70. thankyou.
How much storage is needed to represent a simple graph with n vertices and m edges usinga) adjacency lists?b) an adjacency matrix?c) an incidence matrix?Rosen_discrete_ma...
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783
Test Series
I think both B and C should be the answer, But only C is provided as the answer.
I think both B and C should be the answer, But only C is provided as the answer.
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0 votes
1 answer
784
linear algebra
if A is a non-singular matrix and(I-A+A^2-...+(-1)^n A^n)=0 then A^-1=__________ 1) A^n 2)-A^(n-1) 3)(-1)^n A^n-1 4)(-1)^(n-1).A^n
if A is a non-singular matrix and(I-A+A^2-...+(-1)^n A^n)=0then A^-1=__________1) A^n2)-A^(n-1)3)(-1)^n A^n-14)(-1)^(n-1).A^n
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0 votes
1 answer
785
Test series
The symbol form of predicates :x is the father of the mother of y
The symbol form of predicates :x is the father of the mother of y
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1 votes
1 answer
786
Power sets
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1 answer
787
Self Doubt
formulas represent the sentence, 'He will come on the 8:15 or the 9:15 train; if the former, he will have time to visit us', where p means 'He will come on the 8:15' q means 'He will come on the 9:15' r means 'He will have time to visit us'
formulas represent the sentence, 'He will come on the 8:15 or the 9:15 train; if the former, he will have time to visit us', wherep means 'He will come on the 8:15'q mean...
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788
Discrete Mathematics
Is EMPTY SET ( $\phi$ ) is Proper subset or Improper subset of Non-empty set ??
Is EMPTY SET ( $\phi$ ) is Proper subset or Improper subset of Non-empty set ??
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789
self doubt
Which book covers all the gate topics in Discrete mathematics and good in gate point of view. Thank you.
Which book covers all the gate topics in Discrete mathematics and good in gate point of view.Thank you.
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1 votes
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790
valid or Invalid
$ \forall x (P(x) \rightarrow Q(x)) \rightarrow [\exists P(x)] \rightarrow [\forall Q(x)]$ how to check that a statement is valid or invalid ?
$ \forall x (P(x) \rightarrow Q(x)) \rightarrow [\exists P(x)] \rightarrow [\forall Q(x)]$ how to check that a statement is valid or invalid ?
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1 votes
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791
Combinations
In how many ways a team of 11 players be selected from 14 players when two of them can play as goalkeepers only?
In how many ways a team of 11 players be selected from 14 players when two of them can play as goalkeepers only?
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793
TANCET 2016 Algorithms
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1 answer
795
TANCET 2016 Discrete Mathematics
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1 answer
797
draw conclusion (logic)
What is the correct approach for drawing a conclusion from P1:- If it rains ,the match will not be played . P2:- The match was played A) it rains B) it did not rain C) it either rain or did not rain D) None
What is the correct approach for drawing a conclusion fromP1:- If it rains ,the match will not be played .P2:- The match was played A) it rains B) it did not rainC) it ei...
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1 answer
798
valid or invalid
how to approach these types of question :- If you work hard & you are talented then you will became musician. If you became musician , then you will be happy. You work hard. You are not talented . Therefore I will be happy.
how to approach these types of question :-If you work hard & you are talented then you will became musician.If you became musician , then you will be happy.You work hard....
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5 votes
1 answer
799
contingency , tautology, contradiction
State T/F: 1- Every satisfiable is a contingency 2- Every satisfiable is a Tautology.
State T/F:1- Every satisfiable is a contingency2- Every satisfiable is a Tautology.
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800
Mathematics
if $f'(x)={1}/({5-x^2})$ and $f(0)=1$ then the lower bound of $f(1)$ is?
if $f'(x)={1}/({5-x^2})$ and $f(0)=1$ then the lower bound of $f(1)$ is?
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