Register

Web Page

Syllabus: Propositional and first order logic.

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

Filter

Most answered questions in Mathematical Logic

1 votes
3 answers
163
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
User Avatar
3 votes
3 answers
165
First Order Logic
Can Anyone confirm this FOL : (∃xp(x) ∨ ∃xq(x)) ⟹ ∃x(p(x) ∨ q(x)) is valid or not ? I think it is NOT.
Can Anyone confirm this FOL : (∃xp(x) ∨ ∃xq(x)) ⟹ ∃x(p(x) ∨ q(x)) is valid or not ?I think it is NOT.
User Avatar
1 votes
3 answers
166
Show that for every integer n there is a multiple of n that has only 0s and 1s in its decimal expansion.
Let I take n=8 ,or 7. Can any one illustrate me this defination clearly .
User Avatar
2 votes
3 answers
167
number of solutions
Number of non negative integer solutions such that $x + y + z = 17$ where $x>1,\ y>2,\ z>3$
Number of non negative integer solutions such that $x + y + z = 17$ where $x>1,\ y>2,\ z>3$
User Avatar
1 votes
3 answers
168
One to one function
Following is the way of checking the one to one function or Can i use bi implication in between these?If not,then why?
Following is the way of checking the one to one functionorCan i use bi implication in between these?If not,then why?
User Avatar
1 votes
3 answers
170
Rosen
How can this English sentence be translated into a logical expression ? “You cannot ride the roller coaster if you are under 4 feet tall unless you are older than 16 years old.”
How can this English sentence be translated into a logical expression ?“You cannot ride the roller coaster if you are under 4 feet tall unless you are older than 16 yea...
User Avatar
4 votes
3 answers
171
[Discrete Maths] Group Theory
If the group has 40 elements and it has two subgroups namely h and k with order 10 and 20 then what can't be order of (h intersection k) a:)10 b:)20 c:)3 d:)1 e:) 4 My answer is both c and b and e. Is it correct?
If the group has 40 elements and it has two subgroups namely h and k with order 10 and 20 then what can't be order of (h intersection k)a:)10b:)20c:)3d:)1e:) 4My answer i...
User Avatar
0 votes
3 answers
172
[Discrete Maths] Counting
In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if the bride is positioned somewhere to the left of the groom? Please suggest non brute force approach
In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if the bride is positioned somewhere to the left of the groom...
User Avatar
8 votes
3 answers
173
Test by Bikram | Mathematics | Test 2 | Question: 25
See the above table of a,b,c,d. The total number of subgroups possible from the above diagram are _______.
See the above table of a,b,c,d. The total number of subgroups possible from the above diagram are _______.
User Avatar
5 votes
3 answers
174
Test by Bikram | Mathematics | Test 2 | Question: 23
$U = \{1,2,3,4,5 \}$ and $A$ and $B$ are two subsets. If $n(A \cap B) = 2$ and $A \neq B$ then, total number of ordered pairs $(A,B)$ possible are _________ (where $n(A)$ is the cardinality of set $A$).
$U = \{1,2,3,4,5 \}$ and $A$ and $B$ are two subsets. If $n(A \cap B) = 2$ and $A \neq B$ then, total number of ordered pairs $(A,B)$ possible are _________ (where $n(A...
User Avatar
2 votes
3 answers
175
Test by Bikram | Mathematics | Test 2 | Question: 20
An equivalent relation $R$ has three equivalent classes of sizes $5,6,7$. The cardinality of $R$, therefore, is ______.
An equivalent relation $R$ has three equivalent classes of sizes $5,6,7$. The cardinality of $R$, therefore, is ______.
User Avatar
4 votes
3 answers
176
Test by Bikram | Mathematics | Test 2 | Question: 10
$S = 1.2 + 2.3.x + 3.4.x^2 + 4.5.x^3 + \dots +\infty$ where $x = 0.5$. The sum of the series is _________.
$S = 1.2 + 2.3.x + 3.4.x^2 + 4.5.x^3 + \dots +\infty$ where $x = 0.5$.The sum of the series is _________.
User Avatar
2 votes
3 answers
177
Test by Bikram | Mathematics | Test 2 | Question: 2
The total number of vertices in a graph is $n = 6$. The maximum number of possible edges (so that the graph remains disconnected) is ______.
The total number of vertices in a graph is $n = 6$.The maximum number of possible edges (so that the graph remains disconnected) is ______.
User Avatar
2 votes
3 answers
179
Discrete Mathematics Thegatebook
22)Which one is the correct S1: A formula is valid iff its complement is not satisfiable S2: A formula is satisfiable iff its complement is not valid. a) Only S1 b) Only S2 c) both S1 and S2 d) none
22)Which one is the correctS1: A formula is valid iff its complement is not satisfiableS2: A formula is satisfiable iff its complement is not valid.a) Only S1 b) Only S2 ...
User Avatar
2 votes
3 answers
180
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??
User Avatar
Page: