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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

0 votes
1 answer
1161
Self Doubt
What would be the execution order of the below statement? $A \implies B \implies C$
What would be the execution order of the below statement?$$A \implies B \implies C$$
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0 votes
0 answers
1163
Rosen Example 25
Q) Use predicates and quantifiers to express the system specification "Every mail message larger than one megabyte will be compressed" and "If a user is active, at least one network link will be available."
Q) Use predicates and quantifiers to express the system specification"Every mail message larger than one megabyte will be compressed" and "If a user is active, at least ...
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1 votes
0 answers
1165
gate 2018
Consider the matrix P whose only Eigen vectors are the multiples of (1 4). Consider the following statements I. P does not have an inverse II. P has a repeated Eigen value. III. P cannot be diagonalized Which of the following Option is Correct?
Consider the matrix P whose only Eigen vectors are the multiples of (1 4). Consider the following statementsI. P does not have an inverseII. P has a repeated Eigen value....
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2 votes
1 answer
1167
Mathematical Logic
All Tautologies are valid and all Valid arguments are tautologies True/ False
All Tautologies are valid and all Valid arguments are tautologies True/ False
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0 votes
1 answer
1168
Subject Topic- Mathematical Logic
Can someone please explain the highlighted text?
Can someone please explain the highlighted text?
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1 votes
0 answers
1169
Universal Quantifier (Basics)
Which one of the expression of universal quantifier is ambiguous? For all For every all of for each for any for arbitrary
Which one of the expression of universal quantifier is ambiguous?For allFor everyall offor eachfor anyfor arbitrary
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0 votes
1 answer
1170
Classification of compound propositions
One way of classification of compound prepositions on the basis of their truth values as per Kenneth H Rosen is Tautology Contradiction Contingency Then in which classification validity and satisfiability are used?
One way of classification of compound prepositions on the basis of their truth values as per Kenneth H Rosen is TautologyContradictionContingency Then in which classifica...
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1 votes
1 answer
1171
Graph theory
If $N=(0,1,2,3 ....)$ , then $(N,+)$ is a Group. If $N=(1,2,3 ....)$ , then $(N,+)$ is a not Group. Which one to consider in exam ?
If $N=(0,1,2,3 ....)$ , then $(N,+)$ is a Group.If $N=(1,2,3 ....)$ , then $(N,+)$ is a not Group.Which one to consider in exam ?
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0 votes
1 answer
1172
doubt
why value of $0! = 1$
why value of $0! = 1$
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1 votes
3 answers
1174
general aptitude gate 2018
If ther area of square is d , then what is the area of circle that passes through diagonal of square . having diagonal as its diameter
If ther area of square is d , then what is the area of circle that passes through diagonal of square . having diagonal as its diameter
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0 votes
0 answers
1175
gate 2018
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1 votes
1 answer
1176
solve for x
$(x+1)^{log_{10}x+1 } = 100(x+1)$
$(x+1)^{log_{10}x+1 } = 100(x+1)$
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1 votes
0 answers
1177
Last two digits
Last two digits $\frac{14^{14^{14}}}{100}$ How to find it by cyclicity
Last two digits $\frac{14^{14^{14}}}{100}$How to find it by cyclicity
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0 votes
1 answer
1178
Test series
Plz explain ? How to solve such que. As I have solved this type of que earlier but when I am doing revision I am not able to do it. So plz provide some good explanation..
Plz explain ? How to solve such que. As I have solved this type of que earlier but when I am doing revision I am not able to do it. So plz provide some good explanation.....
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0 votes
1 answer
1179
maths
The average of 4 distinct prime numbers a, b, c, d is 35 where a < b < c < d. b and c are equidistant from 34 and; a and b are equidistant from 30 and; c and d are equidistant from 40; a and d are equidistant from 36 . The difference between a and d is?
The average of 4 distinct prime numbers a, b, c, d is 35 where a < b < c < d. b and c are equidistant from 34 and; a and b are equidistant from 30 and; c and d are equidi...
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0 votes
0 answers
1180
Maths
How to find rank of non square matrix?
How to find rank of non square matrix?
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