Questions by Arjun / GATE Overflow for GATE CSE

3 votes

1 answer

271

GATE ECE 2022 | GA Question: 10
Consider the following square with the four corners and the center marked as $\text{P, Q, R, S}$ and $\text{T}$ respectively. Let $\text{X, Y}$ and $\text{Z}$ represent the following operations: $\text{X:}$ rotation of the square by $180$ ... The sequence of operations $(2)$ and $(3)$ are equivalent The sequence of operations $(1), (2)$ and $(3)$ are equivalent

Consider the following square with the four corners and the center marked as $\text{P, Q, R, S}$ and $\text{T}$ respectively.Let $\text{X, Y}$ and $\text{Z}$ represent th...

943 views

asked Feb 15, 2022

37 votes

2 answers

272

GATE CSE 2022 | Question: 1
Which one of the following statements is $\text{TRUE}$ for all positive functions $f(n)?$ $f(n^{2}) = \theta (f(n)^{2}),$ when $f(n)$ is a polynomial $f(n^{2}) = o (f(n)^{2})$ $f(n^{2}) = O (f(n)^{2}),$ when $f(n)$ is an exponential function $f(n^{2}) = \Omega (f(n)^{2})$

Which one of the following statements is $\text{TRUE}$ for all positive functions $f(n)?$$f(n^{2}) = \theta (f(n)^{2}),$ when $f(n)$ is a polynomial$f(n^{2}) = o (f(n)^{2...

15.8k views

asked Feb 15, 2022

31 votes

4 answers

273

GATE CSE 2022 | Question: 2
Which one of the following regular expressions correctly represents the language of the finite automaton given below? $ab^{\ast}bab^{\ast} + ba^{\ast}aba^{\ast}$ $(ab^{\ast}b)^{\ast}ab^{\ast} + (ba^{\ast}a)^{\ast} ba^{\ast}$ $(ab^{\ast}b + ba^{\ast}a)^{\ast} (a^{\ast} + b^{\ast})$ $(ba^{\ast}a + ab^{\ast}b)^{\ast} (ab^{\ast} + ba^{\ast})$

Which one of the following regular expressions correctly represents the language of the finite automaton given below?$ab^{\ast}bab^{\ast} + ba^{\ast}aba^{\ast}$$(ab^{\ast...

17.8k views

asked Feb 15, 2022

9 votes

1 answer

274

GATE CSE 2022 | Question: 3
Which one of the following statements is $\text{TRUE}?$ The $\textit{LALR}(1)$ parser for a grammar $\textit{G}$ cannot have reduce-reduce conflict if the $\textit{LR}(1)$ parser for $\textit{G}$ does not have reduce-reduce ... Data flow analysis is necessary for run-time memory management. $\textit{LR}(1)$ parsing is sufficient for deterministic context-free languages.

Which one of the following statements is $\text{TRUE}?$The $\textit{LALR}(1)$ parser for a grammar $\textit{G}$ cannot have reduce-reduce conflict if the $\textit{LR}(1)$...

7.4k views

asked Feb 15, 2022

12 votes

2 answers

275

GATE CSE 2022 | Question: 4
In a relational data model, which one of the following statements is $\text{TRUE}?$ A relation with only two attributes is always in $\text{BCNF}.$ If all attributes of a relation are prime attributes, then the relation is in $\text{BCNF}.$ Every relation has at least one non-prime attribute. $\text{BCNF}$ decompositions preserve functional dependencies.

In a relational data model, which one of the following statements is $\text{TRUE}?$A relation with only two attributes is always in $\text{BCNF}.$If all attributes of a r...

10.1k views

asked Feb 15, 2022

19 votes

4 answers

276

GATE CSE 2022 | Question: 5
Consider the problem of reversing a singly linked list. To take an example, given the linked list below, the reversed linked list should look like Which one of the following statements is $\text{TRUE}$ about the time complexity of algorithms that solve the above problem ... $O(1)$ space.

Consider the problem of reversing a singly linked list. To take an example, given the linked list below,the reversed linked list should look likeWhich one of the followin...

9.3k views

asked Feb 15, 2022

19 votes

2 answers

277

GATE CSE 2022 | Question: 6
Suppose we are given $n$ keys, $m$ hash table slots, and two simple uniform hash functions $h_{1}$ and $h_{2}.$ Further suppose our hashing scheme uses $h_{1}$ for the odd keys and $h_{2}$ for the even keys. What is the expected number of keys in a slot? $\frac{m}{n}$ $\frac{n}{m}$ $\frac{2n}{m}$ $\frac{n}{2m}$

Suppose we are given $n$ keys, $m$ hash table slots, and two simple uniform hash functions $h_{1}$ and $h_{2}.$ Further suppose our hashing scheme uses $h_{1}$ f...

10.5k views

asked Feb 15, 2022

9 votes

3 answers

278

GATE CSE 2022 | Question: 7
Which one of the following facilitates transfer of bulk data from hard disk to main memory with the highest throughput? $\text{DMA}$ based $\text{I/O}$ transfer Interrupt driven $\text{I/O}$ transfer Polling based $\text{I/O}$ transfer Programmed $\text{I/O}$ transfer

Which one of the following facilitates transfer of bulk data from hard disk to main memory with the highest throughput?$\text{DMA}$ based $\text{I/O}$ transferInterrupt d...

5.2k views

asked Feb 15, 2022

10 votes

2 answers

279

GATE CSE 2022 | Question: 8
Let $\text{R1}$ and $\text{R2}$ be two $4 - \text{bit}$ registers that store numbers in $2\text{'s}$ complement form. For the operation $\text{R1 + R2},$ which one of the following values of $\text{R1}$ and $\text{R2}$ ... and $\text{R2 = 1010}$ $\text{R1 = 0011}$ and $\text{R2 = 0100}$ $\text{R1 = 1001}$ and $\text{R2 = 1111}$

Let $\text{R1}$ and $\text{R2}$ be two $4 – \text{bit}$ registers that store numbers in $2\text{’s}$ complement form. For the operation $\text{R1 + R2},$ which one of...

8.9k views

asked Feb 15, 2022

12 votes

3 answers

280

GATE CSE 2022 | Question: 9
Consider the following threads, $\text{T}_{1}, \text{T}_{2},$ and $\text{T}_{3}$ executing on a single processor, synchronized using three binary semaphore variables, $\text{S}_{1}, \text{S}_{2},$ and $\text{S}_{3},$ operated upon using standard $\textsf{wait}()$ ... $\text{S}_{1} = 0; \text{S}_{2} = 1; \text{S}_{3} = 1$

Consider the following threads, $\text{T}_{1}, \text{T}_{2},$ and $\text{T}_{3}$ executing on a single processor, synchronized using three binary semaphore variables, $\t...

9.1k views

asked Feb 15, 2022

19 votes

4 answers

281

GATE CSE 2022 | Question: 10
Consider the following two statements with respect to the matrices $\textit{A}_{m \times n}, \textit{B}_{n \times m}, \textit{C}_{n \times n}$ and $ \textit{D}_{n \times n}.$ Statement $1: tr \text{(AB)} = tr \text{(BA)}$ ... $2$ is correct. Both Statement $1$ and Statement $2$ are correct. Both Statement $1$ and Statement $2$ are wrong.

Consider the following two statements with respect to the matrices $\textit{A}_{m \times n}, \textit{B}_{n \times m}, \textit{C}_{n \times n}$ and $ \textit{D}_{n \times ...

10.9k views

asked Feb 15, 2022

12 votes

3 answers

282

GATE CSE 2022 | Question: 11
What is printed by the following $\text{ANSI C}$ program? #include<stdio.h> int main(int argc, char *argv[]) { int x = 1, z[2] = {10, 11}; int *p = NULL; p = &x; *p = 10; p = &z[1]; *(&z[0] + 1) += 3; printf(“%d, %d, %d\n”, x, z[0], z[1]); return 0; } $1, 10, 11$ $1, 10, 14$ $10, 14, 11$ $10, 10, 14$

What is printed by the following $\text{ANSI C}$ program?#include<stdio.h int main(int argc, char *argv[]) { int x = 1, z = {10, 11}; int *p = NULL; p = &x; *p = 10; p =...

5.8k views

asked Feb 15, 2022

22 votes

3 answers

283

GATE CSE 2022 | Question: 12
Consider an enterprise network with two Ethernet segments, a web server and a firewall, connected via three routers as shown below. What is the number of subnets inside the enterprise network? $3$ $12$ $6$ $8$

Consider an enterprise network with two Ethernet segments, a web server and a firewall, connected via three routers as shown below.What is the number of subnets inside th...

14.5k views

asked Feb 15, 2022

6 votes

2 answers

284

GATE CSE 2022 | Question: 13
Which of the following statements is/are $\text{TRUE}?$ Every subset of a recursively enumerable language is recursive. If a language $\textit{L}$ and its complement $\overline{\textit{L}}$ are both recursively enumerable, then $\textit{L}$ must be recursive. ... $\textit{L}_{1} \cap \textit{L}_{2}$ must be deterministic context-free.

Which of the following statements is/are $\text{TRUE}?$Every subset of a recursively enumerable language is recursive.If a language $\textit{L}$ and its complement $\over...

15.4k views

asked Feb 15, 2022

21 votes

1 answer

285

GATE CSE 2022 | Question: 14
Let $\text{WB}$ and $\text{WT}$ be two set associative cache organizations that use $\text{LRU}$ algorithm for cache block replacement. $\text{WB}$ is a write back cache and $\text{WT}$ ... cache to main memory. A read miss in $\text{WB}$ will never lead to eviction of a dirty block from $\text{WB}.$

Let $\text{WB}$ and $\text{WT}$ be two set associative cache organizations that use $\text{LRU}$ algorithm for cache block replacement. $\text{WB}$ is a write back cache ...

7.8k views

asked Feb 15, 2022

15 votes

2 answers

286

GATE CSE 2022 | Question: 15
Consider the following three relations in a relational database. $\text{Employee} (\underline{\text{eId}},\text{Name}), \; \text{Brand}(\underline{\text{bId}},\text{bName}), \; \text{Own}(\underline{\text{eId}},\underline{\text{bId}})$ Which of the following relational ... $ \Pi_{eId} \left( (\Pi_{eId}(Own) \times \Pi_{bId} (Own)) / \Pi_{bId} (Brand) \right)$

Consider the following three relations in a relational database.$\text{Employee} (\underline{\text{eId}},\text{Name}), \; \text{Brand}(\underline{\text{bId}},\text{bName}...

8.5k views

asked Feb 15, 2022

12 votes

2 answers

287

GATE CSE 2022 | Question: 16
Which of the following statements is/are $\text{TRUE}$ with respect to deadlocks? Circular wait is a necessary condition for the formation of deadlock. In a system where each resource has more than one instance, a cycle in its wait-for graph ... the resource-allocation graph of a system, if every edge is an assignment edge, then the system is not in deadlock state.

Which of the following statements is/are $\text{TRUE}$ with respect to deadlocks?Circular wait is a necessary condition for the formation of deadlock.In a system where ea...

12.5k views

asked Feb 15, 2022

14 votes

2 answers

288

GATE CSE 2022 | Question: 17
Which of the following statements is/are $\text{TRUE}$ for a group $\textit{G}?$ If for all $x,y \in \textit{G}, \; (xy)^{2} = x^{2} y^{2},$ then $\textit{G}$ is commutative. If for all $x \in \textit{G}, \; x^{2} = 1,$ then ... $2,$ then $\textit{G}$ is commutative. If $\textit{G}$ is commutative, then a subgroup of $\textit{G}$ need not be commutative.

Which of the following statements is/are $\text{TRUE}$ for a group $\textit{G}?$If for all $x,y \in \textit{G}, \; (xy)^{2} = x^{2} y^{2},$ then $\textit{G}$ is commutati...

7.6k views

asked Feb 15, 2022

41 votes

3 answers

289

GATE CSE 2022 | Question: 18
Suppose a binary search tree with $1000$ distinct elements is also a complete binary tree. The tree is stored using the array representation of binary heap trees. Assuming that the array indices start with $0,$ the $3^{\text{rd}}$ largest element of the tree is stored at index ______________ .

Suppose a binary search tree with $1000$ distinct elements is also a complete binary tree. The tree is stored using the array representation of binary heap trees. Assumin...

15.3k views

asked Feb 15, 2022

6 votes

3 answers

290

GATE CSE 2022 | Question: 19
Consider the augmented grammar with $\{ +, {\ast}, (,),\text{id} \}$ as the set of terminals. $S' \rightarrow S$ $S \rightarrow S + R\; |\; R$ $R \rightarrow R {\ast} P \;| \;P$ $P \rightarrow (S)\; |\; \text{id} $ If $I_{0}$ is ... $\{ [S' \rightarrow S.], [S \rightarrow S. + R] \}$, then $\textit{goto(closure}(I_{0}), +)$ contains exactly ______________ items.

Consider the augmented grammar with $\{ +, {\ast}, (,),\text{id} \}$ as the set of terminals.$S’ \rightarrow S$$S \rightarrow S + R\; |\; R$$R \rightarrow R {\ast} P \;...

7.3k views

asked Feb 15, 2022

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force match	+apple
views	views:100
score	score:10
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