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4 votes

2 answers

1

GO Classes Weekly Quiz 4 | Propositional Logic | Question: 4
If $\mathbf{p}$ is true, $\mathbf{q}$ is true, and $\mathbf{r}$ is true, find the truth value of the statement. $ (p \wedge q) \leftrightarrow(q \vee \sim r) $ Choose the correct answer below. True because $(p \wedge q)$ ... and $(q \vee \sim r)$ is false. False because $(p \wedge q)$ is true and $(q \vee \sim r)$ is true.

asked in Mathematical Logic Mar 22

252 views

2 votes

2 answers

2

GO Classes Weekly Quiz 4 | Propositional Logic | Question: 5
If $p$ is true and $q$ is false then the truth values of $(p \rightarrow q) \leftrightarrow(\sim q \rightarrow \sim p)$ and $(\sim p \vee \sim q) \wedge(\sim q \vee p)$ are respectively True, True True, False False, False False, True

asked in Mathematical Logic Mar 22

160 views

2 votes

2 answers

3

GO Classes Weekly Quiz 4 | Propositional Logic | Question: 6
If $(p \wedge \sim q) \wedge(p \wedge r) \rightarrow \sim p \vee q$ is false, then the truth values of $p, q$ and $r$ are, respectively : $F, T, F$ $T, F, T$ $T, T, T$ $F, F, F$

asked in Mathematical Logic Mar 22

133 views

2 votes

3 answers

4

GO Classes Weekly Quiz 4 | Propositional Logic | Question: 7
If $p, q, r$ are simple statement with truth values $T, F, T$ respectively then the truth value of $((\sim p \vee q) \wedge r) \rightarrow p$ is : True False True if $r$ is false True if $q$ is true

asked in Mathematical Logic Mar 22

172 views

6 votes

4 answers

5

GO Classes Weekly Quiz 4 | Propositional Logic | Question: 8
A very special island, "Smullyan's island", is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You encounter two people, $\text{A}$ and $\text{B. A}$ says " ... , respectively, if they address you in the above way described: Knight, Knight Knight, Knave Knave, Knight Knave, Knave

asked in Mathematical Logic Mar 22

243 views

4 votes

3 answers

6

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 8
Let $k$ be some integer and it is given that $a \equiv b(\bmod n)$ then which of the following(s) is/are ALWAYS true? More than one option can be true. $a \equiv b-3 n(\bmod n)$ $a \equiv b+k(\bmod n)$ $a+k \equiv b+k(\bmod n)$ $a+5 n \equiv b-3 n(\bmod n)$

asked in Quantitative Aptitude Mar 1

308 views

3 votes

2 answers

7

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 9
Which of the following(s) ALWAYS hold given that $a \equiv b(\bmod n)$ is true for some integers $a, b$ and $n.$ More than one option can be true. $a \bmod n=b \bmod n$ $n \mid(a-b)$ $n \mid a$ $n \mid b$

asked in Quantitative Aptitude Mar 1

259 views

2 votes

2 answers

8

GO Classes Weekly Quiz 1 | Fundamental Course | Question: 10
Which of the following options is/are TRUE? $43 \equiv-2(\bmod 5)$ $5 \equiv-7(\bmod 3)$ $-10 \equiv-25(\bmod 7)$ $8 \equiv-8(\bmod 5)$

asked in Quantitative Aptitude Mar 1

229 views

1 vote

0 answers

9

GATE CSE 2023 | Memory Based Question: 57
The country of Zombieland is in distress since more than 75% of its working population is suffering from serious health issues. Studies conducted by competent health experts concluded that a complete lack of physical exercise among its working ... as mandatory. (D) The Government of Zombieland believes that riding bicycles is a form of physical exercise.

asked in Verbal Aptitude Feb 8

1.2k views

0 votes

2 answers

10

GATE CSE 2023 | Memory Based Question: 11
Let $f(x)=x^3+15 x^2-33 x-36$ be a real valued function. Which statement is/are TRUE? $f(x)$ has a local maximum. $f(x)$ does NOT have a local maximum. $f(x)$ has a local minimum. $f(x)$ does NOT have a local minimum.

asked in Calculus Feb 6

437 views

2 votes

1 answer

11

GATE CSE 2023 | Memory Based Question: 13
Let $ A=\left[\begin{array}{llll} 1 & 2 & 3 & 4 \\ 4 & 1 & 2 & 3 \\ 3 & 4 & 1 & 2 \\ 2 & 3 & 4 & 1 \end{array}\right] $ ... $\operatorname{det} \mathrm{B}=-\operatorname{det} \mathrm{A}$ $\operatorname{det} \mathrm{A}=\operatorname{det} \mathrm{B}$

asked in Linear Algebra Feb 6

502 views

0 votes

2 answers

12

GATE CSE 2023 | Memory Based Question: 15
The Lucas sequence $L_n$ is defined by the recurrence relation: $L_n=L_{n-1}+L_{n-2}$, for $n \geq 3$ with $L_1=1$ and $L_2=3$. Which one of the options given is TRUE? $L_n=\left(\frac{1+\sqrt{5}}{2}\right)^n+\left(\frac{1-\sqrt{5}}{3}\right)^n$ ... $L_n=\left(\frac{1+\sqrt{5}}{2}\right)^n+\left(\frac{1-\sqrt{5}}{2}\right)^n$

asked in Combinatory Feb 6

468 views

1 vote

1 answer

13

GATE CSE 2023 | Memory Based Question: 16
How many permutations of $U$ separate $A$ from $B?$ $2\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k) !(k!)^2$ $\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k)!(n!)$ $n!$ $\left(\begin{array}{c}n \\ 2 k\end{array}\right)(n-2 k) !(k !)^2$

asked in Combinatory Feb 6

427 views

1 vote

2 answers

14

GATE CSE 2023 | Memory Based Question: 17
Let $x$ be a set, $2^x=$ power $2 \mathrm{k}$ set of $\mathrm{X}$. define A binary operation $\Delta$ on $2^x$ as $A \Delta B=(A-B) \cup(B-A)$. Let $H=\left(2^x, \Delta\right)$, then for every $A \in 2^x$; inverse of $A$ ... $\mathrm{H}$ is a group. $\mathrm{H}$ satisfies inverse prop, but not a group for every $A \in 2^x$; the inverse of $A$ is $A$.

asked in Set Theory & Algebra Feb 6

410 views

0 votes

0 answers

15

GATE CSE 2023 | Memory Based Question: 18
In general which of the following CPU scheduling algorithms suffers from starvation? SJF FCFS Round robin Priority

asked in Operating System Feb 6

510 views

0 votes

1 answer

16

GATE CSE 2023 | Memory Based Question: 19
incr() { wait(s) x = x+1 signal(s) } decr() { wait(s) x = x-1 signal(s) } Shared integer variable $\mathrm{x}$ initialized with $10.$ There are five threads which are calling incr() and there are three threads which are calling decr() ... $s=2$ minimum possible value of $\mathrm{x}$ is $\mathrm{V}_2$ $15,8$ $12,8$ $15,7$ $12,7$

asked in Operating System Feb 6

415 views

1 vote

1 answer

17

GATE CSE 2023 | Memory Based Question: 20
Which of the following option guarantee that a computer system transit from user mode to kernel mode malloc call system call function call page fault

asked in Operating System Feb 6

499 views

2 votes

1 answer

18

GATE CSE 2023 | Memory Based Question: 22
The initial state of a given sequential circuit is $Q_0 Q_1 Q_2=011$. Which of the following state does not occur $101$ $111$ $001$ $100$

asked in Digital Logic Feb 6

367 views

1 vote

2 answers

19

GATE CSE 2023 | Memory Based Question: 25
Consider the following finite automata and find the correct regular expression. $0(0+11)^*$ $1(0+11)^*$ $1(0 * 11)^*$ $0\left(0^* 11\right)^*$

asked in Theory of Computation Feb 6

441 views

0 votes

1 answer

20

GATE CSE 2023 | Memory Based Question: 34
Which one of the options given below refers to the degree (or arity) of a relation in relational database systems? Number of tuples stored in relation. Number of distinct domains of its relation schema. Number of attributes in relation. Number of entries in relation.

asked in Databases Feb 6

425 views

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