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Syllabus: Propositional and first order logic.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}&\textbf{2024-1}&\textbf{2024-2}&\textbf{2023}& \textbf{2022}& \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count}&0&1&1& 0 & 1&1&0&0.67&1
\\\hline\textbf{2 Marks Count}&0&0&0&0 & 0&0&0&0&0
\\\hline\textbf{Total Marks}& 0&1&1& 0 & 1&1&\bf{0}&\bf{0.67}&\bf{1}\\\hline
\end{array}}}$$

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Recent questions in Mathematical Logic

1 votes
0 answers
1541
explain ?
how many different words can be formed from letter of word HARYANA 7! / 3! = 840 according to rd sharma but it should be 840-1 = 839 ,because in question we have to find different everywhere they didnot subtract 1
how many different words can be formed from letter of word HARYANA7! / 3! = 840 according to rd sharma but it should be 840-1 = 839 ,because in question we have to ...
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3 votes
1 answer
1543
Generating function
What is the best source to study generating function in discrete mathematics
What is the best source to study generating function in discrete mathematics
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0 votes
0 answers
1544
Gate ee question
Let X be a random variable with probability density function F(x) ={ 0.2 for |x|<=1 0.1 for 1<|x|<=4 0 otherwise} The probability P(0.5<X<5) is? What is the relevance of mod here?
Let X be a random variable with probability density function F(x) ={0.2 for |x|<=10.1 for 1<|x|<=40 otherwise} The probability P(0.5<X<5) is? What is the relevanc...
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0 votes
0 answers
1545
Probability
What is the best video lecture for probability which covers all type of questions asked in gate??
What is the best video lecture for probability which covers all type of questions asked in gate??
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0 votes
0 answers
1546
Mathematical logic
Principal conjunctive normal form of ( p^ q)or( !p^ q) is a) sum of products b) product of sums c)sum of max terms d) product of max terms
Principal conjunctive normal form of ( p^ q)or( !p^ q) isa) sum of productsb) product of sumsc)sum of max termsd) product of max terms
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1 votes
1 answer
1547
Propositional function doubt
The Number of n-variable propositional function ? a. 2^2^n. b.2^n^2 c.2^n d. n^2 Can any one please explain the what should be the answer and how to get it?
The Number of n-variable propositional function ?a. 2^2^n.b.2^n^2c.2^nd. n^2Can any one please explain the what should be the answer and how to get it?
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0 votes
1 answer
1548
number of comparison
how many comparison are needed to locate the maximum and minimum in a sequence with 128 elements?
how many comparison are needed to locate the maximum and minimum in a sequence with 128 elements?
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0 votes
1 answer
1550
Relation doubt
What is the total number of asymmetric and transitive relation from set a to itself which has n element ?
What is the total number of asymmetric and transitive relation from set a to itself which has n element ?
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2 votes
0 answers
1551
how to draw this graph plz explain in detail
y = | x^2- 2 | how to draw graph of such equation
y = | x^2- 2 | how to draw graph of such equation
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0 votes
0 answers
1554
Rosen_Discrete_Mathematics_and_Its_Applications_7th_Edition/Pg.56/Section 1.4 :predicates and quantifiers/Q.43 and Q.44
43. Determine whether ∀x(P(x)→Q(x)) and ∀xP (x)→∀xQ(x) are logically equivalent. Justify your answer.44. Determine whether ∀x(P(x)↔Q(x)) and ∀ x P (x) ↔...
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0 votes
1 answer
1555
Proposition
X posed many puzzles about an island that has two kinds of inhabitants knights who always tells the truth, and their opposite knaves, who always lie. You encounter two people A and B. What are A and B if A says 'B is a knight' and B says 'two of us are of opposite types'?
X posed many puzzles about an island that has two kinds of inhabitants knights who always tells the truth, and their opposite knaves, who always lie. You encounter two pe...
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0 votes
1 answer
1556
quantifiers
In rosen it is given that ∃xp(x) is false when the domain is empty but what about value of ∀xp(x) when the domain is empty ?
In rosen it is given that ∃xp(x) is false when the domain is empty but what about value of ∀xp(x) when the domain is empty ?
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2 votes
0 answers
1557
Discrete mathematics ex 1.5
How to solve this kind of questions... What rules of inference are used in this argument? No man is an island Manhattan is an island Therefore, Manhattan is not a man.
How to solve this kind of questions...What rules of inference are used in this argument?No man is an islandManhattan is an islandTherefore,Manhattan is not a man.
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1 votes
0 answers
1559
Discrete mathematics
Proofs questions are asked in mathematical logic gate?
Proofs questions are asked in mathematical logic gate?
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