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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

2 votes
1 answer
2061
predicate
B(x):x is a boy C(x):x is a chocolates E(x,y): x eats y. "only boy eats chocolates". write this statement using predicate calculus.
B(x):x is a boyC(x):x is a chocolatesE(x,y): x eats y."only boy eats chocolates". write this statement using predicate calculus.
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4 votes
2 answers
2063
probability
A bag contains 12 pairs of socks .four socks are picked up at random.Find the probability that there is at least one pair
A bag contains 12 pairs of socks .four socks are picked up at random.Find the probability that there is at least one pair
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4 votes
1 answer
2064
probability
Two intergers are chosen at random and multiplied. Find the probability that the product is even integer.
Two intergers are chosen at random and multiplied. Find the probability that the product is even integer.
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2 votes
3 answers
2065
Rosen chapter 5.5 question 50
How many ways are there to distribute 5 distinguishable objects into three indistinguishable boxes?
How many ways are there to distribute 5 distinguishable objects into three indistinguishable boxes?
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1 votes
3 answers
2066
GATE Overflow | Mathematics | Test 1 | Question: 29
According to the principle of logic, an implication and it's contrapositive must be both true or both false both true both false none
According to the principle of logic, an implication and it's contrapositive must beboth true or both falseboth trueboth falsenone
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0 votes
2 answers
2067
GATE Overflow | Mathematics | Test 1 | Question: 26
Which of the following propositions is a tautology ? $(p \vee q) \to p$ $p \vee (q \to p )$ $p \vee ( p \to q )$ $p \to (p \to q )$
Which of the following propositions is a tautology ?$(p \vee q) \to p$ $p \vee (q \to p )$$p \vee ( p \to q )$ $p \to (p \to q )$
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0 votes
1 answer
2071
TOC regular language
Is regular languages closed under 1)Infinite Union 2)Infinite Intersection
Is regular languages closed under1)Infinite Union2)Infinite Intersection
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1 votes
1 answer
2074
Discrete mathematics & its applications with combinatorics and graph theory-kenneth H rosen
Determine whether following conditional statement is true or false -If 1+1 =3, then 2+2=4. According to me the answer should be false, but in book its given true. Can anyone explain how it is true?
Determine whether following conditional statement is true or false-If 1+1 =3, then 2+2=4.According to me the answer should be false, but in book its given true. Can anyon...
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2 votes
3 answers
2076
UGC NET CSE | December 2014 | Part 3 | Question: 57
The resolvent of the set of clauses $(A \vee B, \sim A \vee D, C \vee \sim B)$ is $A \vee​ B$ $C \vee​ D$ $A \vee​ C$ $A \vee​ D$
The resolvent of the set of clauses $(A \vee B, \sim A \vee D, C \vee \sim B)$ is $A \vee​ B$$C \vee​ D$$A \vee​ C$$A \vee​ D$
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3 votes
2 answers
2079
UGC NET CSE | Junet 2015 | Part 2 | Question: 9
Match the following : ... $\text{(a)-(iv), (b)-(ii), (c)-(iii), (d)-(i)}$
Match the following :$\begin{array}{clcl} & \textbf{List-I} && \textbf{List-II} \\ \text{(a)}&(p \rightarrow q) \Leftrightarrow (\neg q \rightarrow \neg p) & \text{(i)} ...
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