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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

0 votes
1 answer
1623
A fair coin is tossed till a head appears for the first time .The probability that the number of required tosses is odd.A) 1/3B) 1/2C)2/3D)3/4
0 votes
1 answer
1624
What is the expected no. of heads that come up when fair coin is flipped five times?
1 votes
1 answer
1627
1 votes
2 answers
1628
Given two each of p kinds of objects and one each of additional q kind of objects, in how many ways r objects can be selected?Please give a detailed solution.
1 votes
2 answers
1630
1 votes
1 answer
1631
.a A nswer is nlogn by master method , but iam not able to solve this equation by this method can any one solve this and please t...
2 votes
2 answers
1632
. T (n) = 3T (n/2) + n i can apply masters theorem and solve it , can i solve it by back substitution too , but i dont know base condition ??? how can i solve it
1 votes
1 answer
1633
log2n is equal to logn*logn._____ is equal to log(log n) what should be there in blank
1 votes
1 answer
1634
a tree with n vertices can have at most 1 perfect matching how? perfect matching means no vertices will be left with 0 dergree right so how a tree can have a perfect mat...
2 votes
1 answer
1635
Negation of ∃ x(x^2=2) should be ∀x (x^2!=2).But in the book it's given as ∀x(x^2=2). I think it is misprint. Please correct me if I m wrong.Thank you in advance.
3 votes
1 answer
1636
Plwase explain how inverse of an equivalence relation is an equivalence relation with suitable example?
2 votes
2 answers
1637
in a group of students 100 studying Hindi,100 studying Maths and 100 studying English,20 people studying Maths and Mnglish,40 studying English and Hindi,60 studying Hind...
1 votes
0 answers
1639
OK so, I am pretty sure that I answer in the first image marked wrong is right. If not, why?How to do 2nd and 3rd?
–2 votes
1 answer
1640