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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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Most answered questions in Mathematical Logic

2 votes
1 answer
931
PGEE 2018
Which of the following tell us which day is on 14th of a particular month I) 17th is on 3rd Saturday II) the last date of the month is on Wednesday A) Only 1 is sufficient B) Only 2 is sufficient C) Both are required D) Both are insufficient
Which of the following tell us which day is on 14th of a particular monthI) 17th is on 3rd SaturdayII) the last date of the month is on WednesdayA) Only 1 is sufficientB)...
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1 votes
1 answer
932
PGEE 2018
Which of the statement is sufficient to determine children of x 1) Q and U are brothers of T 2) P is the sister of U and S 3) P and T are daughters of X A) 1 and 2 B) 1,2 and 3 C) 2 and 3 D) data insufficient
Which of the statement is sufficient to determine children of x1) Q and U are brothers of T2) P is the sister of U and S3) P and T are daughters of XA) 1 and 2B) 1,2 and ...
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0 votes
1 answer
933
Partial ordering
Is partial ordering and hasse diagram stuffs present in GATE 2019 Syllabus. Because topological order is already there in algorithems. Can anybody plz provide topic wise GATE 2019 Syllabus i am not getting it topic wise. Thanku in advance
Is partial ordering and hasse diagram stuffs present in GATE 2019 Syllabus. Because topological order is already there in algorithems.Can anybody plz provide topic wise G...
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0 votes
1 answer
935
ISI-2004-23
If $f(x) = x^2$ and $g(x)=x \sin x + \cos x$ then $f$ and $g$ agree at no points. $f$ and $g$ agree at exactly one point. $f$ and $g$ agree at exactly two points. $f$ and $g$ agree at more than two points.
If $f(x) = x^2$ and $g(x)=x \sin x + \cos x$ then$f$ and $g$ agree at no points.$f$ and $g$ agree at exactly one point.$f$ and $g$ agree at exactly two points.$f$ and $g$...
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0 votes
1 answer
937
ISI-2004-14
The inequality $\cfrac{2-gx-x^2}{1-x+x^2} \leq 3$ is true for all values of $x$ if and only if $1 \leq g \leq 7$ $-1 \leq g \leq 1$ $-6 \leq g \leq 7$ $-1 \leq g \leq 7$
The inequality $\cfrac{2-gx-x^2}{1-x+x^2} \leq 3$ is true for all values of $x$ if and only if$1 \leq g \leq 7$$-1 \leq g \leq 1$$-6 \leq g \leq 7$$-1 \leq g \leq 7$
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0 votes
1 answer
938
PGEE Sample paper
More than one option can be correct
More than one option can be correct
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0 votes
1 answer
939
ISI-2004-10
The equation $P(x) = \alpha$ where $P(x) = x^4 + 4x^3 – 2x^2 – 12x$ has four distinct real roots if and only if $P(-3) < \alpha$ $P(-1) > \alpha$ $P(-1) < \alpha$ $P(-3) < \alpha < P(-1)$
The equation $P(x) = \alpha$ where $P(x) = x^4 + 4x^3 – 2x^2 – 12x$ has four distinct real roots if and only if $P(-3) < \alpha$$P(-1) \alpha$$P(-1) < \alpha$$P(-3) ...
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0 votes
1 answer
940
ISI-2004-11
If $a_1,a_2, \dots,a_n$ are positive real numbers, then $\frac{a_1}{a_2} + \frac{a_2}{a_3} + \cdots + \frac{a_{n-1}}{a_n}+\frac{a_n}{a_1}$ is always $\geq n$ $\leq n$ $\leq n^{1/n}$ none of the above.
If $a_1,a_2, \dots,a_n$ are positive real numbers, then$$\frac{a_1}{a_2} + \frac{a_2}{a_3} + \cdots + \frac{a_{n-1}}{a_n}+\frac{a_n}{a_1}$$is always$\geq n$$\leq n$$\leq ...
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0 votes
1 answer
941
ISI-2004-8
If $\alpha _1, \alpha _2,\dots,\alpha _n$ be the roots of $x^n + 1 = 0$, then $(1-\alpha _1)(1-\alpha _2)\dots(1-\alpha _n)$ is equal to $1$ $0$ $n$ $2$
If $\alpha _1, \alpha _2,\dots,\alpha _n$ be the roots of $x^n + 1 = 0$, then $(1-\alpha _1)(1-\alpha _2)\dots(1-\alpha _n)$ is equal to$1$$0$$n$$2$
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0 votes
1 answer
942
Generating functions
In generating function i studied from books i didn't understand two things 1. How to apply generating functions for solving recurrence relation 2. Generating functions for solving Permutations Can anybody explain it with an example ?
In generating function i studied from books i didn't understand two things1. How to apply generating functions for solving recurrence relation2. Generating functions for ...
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1 votes
1 answer
943
#test series
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1 votes
1 answer
944
ISI-2017-23
What is the smallest degree of a polynomial with real coefficients and having roots $2\omega, 2+3\omega, 2{\omega}^2, -1-3\omega \text{ and } 2-\omega-{\omega}^2$? [Here $\omega \neq 1$ is a cube root of unity.] $5$ $7$ $9$ $10$
What is the smallest degree of a polynomial with real coefficients and having roots $2\omega, 2+3\omega, 2{\omega}^2, -1-3\omega \text{ and } 2-\omega-{\omega}^2$?[Here $...
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0 votes
1 answer
945
ISI-2017-16
Let $(x_n)$ be a sequence of real numbers such that the subsequences $(x_{2n})$ and $(x_{3n})$ converge to limits $K$ and $L$ respectively. Then $(x_n)$ always converges if $K=L$, then $(x_n)$ converges $(x_n)$ may not converge, but $K=L$ it is possible to have $K \neq L$
Let $(x_n)$ be a sequence of real numbers such that the subsequences $(x_{2n})$ and $(x_{3n})$ converge to limits $K$ and $L$ respectively. Then$(x_n)$ always convergesif...
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0 votes
1 answer
946
ISI-2017-8
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0 votes
1 answer
947
ISI-2014-29
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0 votes
1 answer
948
ISI-2014-28
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0 votes
1 answer
949
ISI-2014-27
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0 votes
1 answer
950
ISI-2014-26
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