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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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Highest voted questions in Mathematical Logic

2 votes
3 answers
511
combinatorics
THERE ARE 10 PRIZES AND 4 STUDENTS. WE WANT ONLY TWO STUDENTS TO GET THE PRIZES. HOW MANY WAYS ARE THERE??
THERE ARE 10 PRIZES AND 4 STUDENTS. WE WANT ONLY TWO STUDENTS TO GET THE PRIZES. HOW MANY WAYS ARE THERE??
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2 votes
0 answers
512
Test book test series
Number of toposorts for the poset shown in the diagram are
Number of toposorts for the poset shown in the diagram are
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2 votes
1 answer
513
number of linearly independent vectors..
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2 votes
1 answer
515
probability
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2 votes
1 answer
516
doubt
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2 votes
1 answer
517
Transform the sentence to Logical Statement
" Lazy and Smart People Are Dangerous " What I think is that $\forall(x) (\text{Lazy}(x) \wedge\text{Smart}(x) \rightarrow Dangerous(s) )$ Is it correct ? If YES https://gateoverflow.in/800/gate2009-23 if NO Explain why ?
" Lazy and Smart People Are Dangerous "What I think is that $\forall(x) (\text{Lazy}(x) \wedge\text{Smart}(x) \rightarrow Dangerous(s) )$Is it correct ?If YEShttps://gate...
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2 votes
1 answer
518
graphs-eulerian
if a graph contains 2 components,1st component contains only one vertex and 2nd component is a cycle with 4 vertices. is this graph Eulerian? it should be Eulerian ryt?
if a graph contains 2 components,1st component contains only one vertex and 2nd component is a cycle with 4 vertices. is this graph Eulerian?it should be Eulerian ryt?
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2 votes
0 answers
519
No of symmetric relations
No of Symmetric relations containg set with A={1,2,3,4,5,6,7} which contain exactly four ordered pairs.
No of Symmetric relations containg set with A={1,2,3,4,5,6,7} which contain exactly four ordered pairs.
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2 votes
1 answer
520
Number of ways ... distinguishable into distinguishable.
How many ways can n books be placed on k distinguishable shelves if no two books are same and the position of the books on the shelves matter.
How many ways can n books be placed on k distinguishable shelves if no two books are same and the position of the books on the shelves matter.
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2 votes
1 answer
521
First Order Logic
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2 votes
1 answer
523
prepositional logic
when ∀xP(x) --> Q(x) is given does it mean (∀xP(x)) --> Q(x) or it means ∀x(P(x) --> Q(x))? in short precedence of quantifiers is greater or implies is greater?
when ∀xP(x) Q(x) is givendoes it mean (∀xP(x)) Q(x) or it means ∀x(P(x) Q(x))?in short precedence of quantifiers is greater or implies is greater?
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2 votes
0 answers
524
IITM MS Previous Year
Let a,b,c,d are 4 consecutive numbers of Fibonacci series. Prove or dis-approve ad-bc= ±1 Now my question is can we prove it by induction?
Let a,b,c,d are 4 consecutive numbers of Fibonacci series. Prove or dis-approve ad-bc= ±1 Now my question is can we prove it by induction?
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2 votes
1 answer
526
matrix
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2 votes
2 answers
528
MADE EASY TEST SERIES
If 2, – 4 are the eigen values of a non­singular matrix A and |A| = ­8, then the eigen values of Adj A are x and –y then the value of x + y is _________. My doubt is x+y = 6 is possible or not ? ans is -6 given by ME.
If 2, – 4 are the eigen values of a non­singular matrix A and |A| = ­8, then theeigen values of Adj A are x and –y then the value of x + y is _________.My doubt is ...
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2 votes
1 answer
529
........
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