Answers by sriv_shubham / GATE Overflow for GATE CSE

16 votes

1

GATE CSE 2017 Set 1 | Question: 12
Consider the following intermediate program in three address code p = a - b q = p * c p = u * v q = p + q Which one of the following corresponds to a static single assignment form of the above code? p1 = a - b q1 = p1 * c p1 = u * v q1 = p1 + q1 p3 = a - b q4 = p3 * c p4 = ... = a - b q1 = p2 * c p3 = u * v q2 = p4 + q3 p1 = a - b q1 = p * c p2 = u * v q2 = p + q

Consider the following intermediate program in three address codep = a - b q = p * c p = u * v q = p + qWhich one of the following corresponds to a static single assignme...

11.6k views

answered Feb 14, 2017

54 votes

2

GATE CSE 2017 Set 1 | Question: 23
Consider a database that has the relation schema EMP (EmpId, EmpName, and DeptName). An instance of the schema EMP and a SQL query on it are given below: ... SELECT DeptName, COUNT(EmpId) AS EC(DeptName, Num) FROM EMP GROUP BY DeptName) The output of executing the SQL query is _____________ .

Consider a database that has the relation schema EMP (EmpId, EmpName, and DeptName). An instance of the schema EMP and a SQL query on it are given below:$$\overset{\text{...

13.6k views

answered Feb 14, 2017

31 votes

3

GATE CSE 2017 Set 1 | Question: 28
The value of $\displaystyle \lim_{x\rightarrow 1} \frac{x^{7}-2x^{5}+1}{x^{3}-3x^{2}+2}$ is $0$ is $-1$ is $1$ does not exist

The value of $\displaystyle \lim_{x\rightarrow 1} \frac{x^{7}-2x^{5}+1}{x^{3}-3x^{2}+2}$is $0$is $-1$is $1$does not exist

6.1k views

answered Feb 14, 2017

35 votes

4

GATE CSE 2017 Set 1 | Question: 33
Consider a combination of $\text{T}$ and $\text{D}$ flip-flops connected as shown below. The output of the $\text{D}$ flip-flop is connected to the input of the $\text{T}$ flip-flop and the output of the $\text{T}$ flip-flop is connected to the input of ... $3^{\text{rd}}$ cycle are $01$ and after the $4^{\text{th}}$ cycle are $01$ respectively.

Consider a combination of $\text{T}$ and $\text{D}$ flip-flops connected as shown below. The output of the $\text{D}$ flip-flop is connected to the input of the $\text{T}...

14.7k views

answered Feb 14, 2017

8 votes

5

GATE CSE 2017 Set 1 | Question: 38
Consider the following languages over the alphabet $\Sigma = \left \{ a, b, c \right \}$. Let $L_{1} = \left \{ a^{n}b^{n}c^{m}\mid m,n \geq 0 \right \}$ and $L_{2} = \left \{ a^{m}b^{n}c^{n}\mid m,n \geq 0 \right \}$. Which of the following are context-free languages? $L_{1} \cup L_{2}$ $L_{1} \cap L_{2}$ I only II only I and II Neither I nor II

Consider the following languages over the alphabet $\Sigma = \left \{ a, b, c \right \}$. Let $L_{1} = \left \{ a^{n}b^{n}c^{m}\mid m,n \geq 0 \right \}$ and $L_{2} = \le...

13.7k views

answered Feb 14, 2017

11 votes

6

GATE CSE 2017 Set 1 | Question: 32
A computer network uses polynomials over $GF(2)$ for error checking with $8$ bits as information bits and uses $x^{3}+x+1$ as the generator polynomial to generate the check bits. In this network, the message $01011011$ is transmitted as: $01011011010$ $01011011011$ $01011011101$ $01011011100$

A computer network uses polynomials over $GF(2)$ for error checking with $8$ bits as information bits and uses $x^{3}+x+1$ as the generator polynomial to generate the che...

11.7k views

answered Feb 14, 2017

75 votes

7

GATE CSE 2017 Set 1 | Question: 37
Consider the context-free grammars over the alphabet $\left \{ a, b, c \right \}$ given below. $S$ and $T$ are non-terminals. $G_{1}:S\rightarrow aSb \mid T, T \rightarrow cT \mid \epsilon$ ... is Finite Not finite but regular Context-Free but not regular Recursive but not context-free

Consider the context-free grammars over the alphabet $\left \{ a, b, c \right \}$ given below. $S$ and $T$ are non-terminals.$G_{1}:S\rightarrow aSb \mid T, T \rightarrow...

12.2k views

answered Feb 14, 2017

38 votes

8

GATE CSE 2017 Set 1 | Question: 47
The number of integers between $1$ and $500$ (both inclusive) that are divisible by $3$ or $5$ or $7$ is ____________ .

The number of integers between $1$ and $500$ (both inclusive) that are divisible by $3$ or $5$ or $7$ is ____________ .

11.7k views

answered Feb 14, 2017

8 votes

9

GATE CSE 2017 Set 1 | Question: 26
Let $G=\left ( V,E \right )$ be $any$ connected, undirected, edge-weighted graph. The weights of the edges in $E$ are positive and distinct. Consider the following statements: Minimum Spanning Tree of $G$ is always unique. Shortest path between ... always unique. Which of the above statements is/are necessarily true? I only II only both I and II neither I nor II

Let $G=\left ( V,E \right )$ be $any$ connected, undirected, edge-weighted graph. The weights of the edges in $E$ are positive and distinct. Consider the following statem...

12.4k views

answered Feb 14, 2017

67 votes

10

GATE CSE 2017 Set 1 | Question: 29
Let $p$, $q$ and $r$ be propositions and the expression $\left ( p\rightarrow q \right )\rightarrow r$ be a contradiction. Then, the expression $\left ( r\rightarrow p \right )\rightarrow q$ is a tautology a contradiction always TRUE when $p$ is FALSE always TRUE when $q$ is TRUE

Let $p$, $q$ and $r$ be propositions and the expression $\left ( p\rightarrow q \right )\rightarrow r$ be a contradiction. Then, the expression $\left ( r\rightarrow p \r...

10.7k views

answered Feb 14, 2017

22 votes

11

GATE CSE 2017 Set 1 | Question: 31
Let $A$ be $n\times n$ real valued square symmetric matrix of rank $2$ with $\sum_{i=1}^{n}\sum_{j=1}^{n}A^{2}_{ij} = 50.$ Consider the following statements. One eigenvalue must be in $\left [ -5,5 \right ]$ The eigenvalue ... than $5$ Which of the above statements about eigenvalues of $A$ is/are necessarily CORRECT? Both I and II I only II only Neither I nor II

Let $A$ be $n\times n$ real valued square symmetric matrix of rank $2$ with $\sum_{i=1}^{n}\sum_{j=1}^{n}A^{2}_{ij} = 50.$ Consider the following statements.One eigenvalu...

49.5k views

answered Feb 14, 2017

13 votes

12

GATE CSE 2017 Set 1 | Question: 54
A cache memory unit with capacity of $N$ words and block size of $B$ words is to be designed. If it is designed as a direct mapped cache, the length of the $\textsf{TAG}$ field is $10$ bits. If the cache unit is now designed as a $16$-way set-associative cache, the length of the $\textsf{TAG}$ field is ____________ bits.

A cache memory unit with capacity of $N$ words and block size of $B$ words is to be designed. If it is designed as a direct mapped cache, the length of the $\textsf{TAG}$...

19.7k views

answered Feb 14, 2017

89 votes

13

GATE CSE 2017 Set 1 | Question: 52
Consider the expression $(a-1) * (((b+c)/3)+d)$. Let $X$ be the minimum number of registers required by an optimal code generation (without any register spill) algorithm for a load/store architecture, in which only load and store ... memory operands and arithmetic instructions can have only register or immediate operands. The value of $X$ is _____________ .

Consider the expression $(a-1) * (((b+c)/3)+d)$. Let $X$ be the minimum number of registers required by an optimal code generation (without any register spill) algorithm ...

19.3k views

answered Feb 14, 2017

77 votes

14

GATE CSE 2017 Set 1 | Question: 48
Let $A$ be an array of $31$ numbers consisting of a sequence of $0$'s followed by a sequence of $1$'s. The problem is to find the smallest index $i$ such that $A\left [i \right ]$ is $1$ by probing the minimum number of locations in $A$. The worst case number of probes performed by an optimal algorithm is ____________.

Let $A$ be an array of $31$ numbers consisting of a sequence of $0$'s followed by a sequence of $1$'s. The problem is to find the smallest index $i$ such that $A\left [i ...

21.7k views

answered Feb 14, 2017

23 votes

15

GATE CSE 2017 Set 1 | Question: 17
Consider the following grammar: $P\rightarrow xQRS$ $Q\rightarrow yz\mid z$ $R\rightarrow w\mid \varepsilon$ $S\rightarrow y$ What is FOLLOW($Q$)? $\left \{ R \right \}$ $\left \{ w \right \}$ $\left \{ w,y \right \}$ $\left \{ w,\$ \right \}$

Consider the following grammar:$P\rightarrow xQRS$$Q\rightarrow yz\mid z$$R\rightarrow w\mid \varepsilon$$S\rightarrow y$What is FOLLOW($Q$)?$\left \{ R \right \}$ ...

6.8k views

answered Feb 14, 2017

63 votes

16

GATE CSE 2017 Set 1 | Question: 16
The following functional dependencies hold true for the relational schema $R\left \{V,W,X,Y,Z \right \}$: V $\rightarrow$ W VW $\rightarrow$ X Y $\rightarrow$ VX Y $\rightarrow$ Z Which of the following is irreducible equivalent for this set of functional ... $\rightarrow$ Z V $\rightarrow$ W W $\rightarrow$ X Y $\rightarrow$ V Y $\rightarrow$ X Y $\rightarrow$ Z

The following functional dependencies hold true for the relational schema $R\left \{V,W,X,Y,Z \right \}$:V $\rightarrow$ WVW $\rightarrow$ XY $\rightarrow$ VXY $\rightarr...

13.3k views

answered Feb 14, 2017

48 votes

17

GATE CSE 2017 Set 1 | Question: 50
Instruction execution in a processor is divided into $5$ stages, Instruction Fetch (IF), Instruction Decode (ID), Operand fetch (OF), Execute (EX), and Write Back (WB). These stages take 5, 4, 20, 10 and 3 nanoseconds (ns) ... speedup (correct to two decimal places) achieved by EP over NP in executing $20$ independent instructions with no hazards is _________ .

Instruction execution in a processor is divided into $5$ stages, Instruction Fetch (IF), Instruction Decode (ID), Operand fetch (OF), Execute (EX), and Write Back (WB). T...

19.1k views

answered Feb 14, 2017

10 votes

18

GATE CSE 2017 Set 1 | Question: 6
Let $T$ be a binary search tree with $15$ nodes. The minimum and maximum possible heights of $T$ are: Note: The height of a tree with a single node is $0$. $4$ and $15$ respectively. $3$ and $14$ respectively. $4$ and $14$ respectively. $3$ and $15$ respectively.

Let $T$ be a binary search tree with $15$ nodes. The minimum and maximum possible heights of $T$ are:Note: The height of a tree with a single node is $0$.$4$ and $15$ res...

16.7k views

answered Feb 14, 2017

15 votes

19

GATE CSE 2017 Set 1 | Question: 08
Consider the C code fragment given below. typedef struct node { int data; node* next; } node; void join(node* m, node* n) { node* p = n; while(p->next != NULL) { p = p->next; } p->next = m; } Assuming that m and n ... append list m to the end of list n. cause a null pointer dereference for all inputs. append list n to the end of list m for all inputs.

Consider the C code fragment given below.typedef struct node { int data; node* next; } node; void join(node* m, node* n) { node* p = n; while(p->next != NULL) { p = p->ne...

25.7k views

answered Feb 14, 2017

28 votes

20

GATE CSE 2017 Set 1 | Question: 05
Consider the following table: ... $(P) \leftrightarrow (i), (Q) \leftrightarrow (ii), (R) \leftrightarrow (iii)$

Consider the following table:$$\begin{array}{|l|}\hline \textbf {Algorithms} & \textbf{Design Paradigms } & \\\hline \text{P. Kruskal} & \text{i. Divide and Conquer} \...

7.0k views

answered Feb 14, 2017

32 votes

21

GATE CSE 2017 Set 1 | Question: 01
The statement $\left ( ¬p \right ) \Rightarrow \left ( ¬q \right )$ is logically equivalent to which of the statements below? $p \Rightarrow q$ $q \Rightarrow p$ $\left ( ¬q \right ) \vee p$ $\left ( ¬p \right ) \vee q$ I only I and IV only II only II and III only

The statement $\left ( ¬p \right ) \Rightarrow \left ( ¬q \right )$ is logically equivalent to which of the statements below?$p \Rightarrow q$$q \Rightarrow p$$\left ( ...

9.0k views

answered Feb 14, 2017

1 votes

22

WHICH SORTING TO SELECT?
As part of maintenance work, you are entrusted with the work of rearranging the library books in a shelf in proper order, at the end of each day. The ideal choice will be— (a) Bubble sort (b) Insertion sort (c) Selection sort (d) Heap sort

As part of maintenance work, you are entrusted with the work of rearranging the library books in a shelf in proper order, at the end of each day. The ideal choice will be...

16.9k views

answered Jan 19, 2017

0 votes

23

pipeline
How to solve this?

How to solve this?

752 views

answered Jan 19, 2017

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true