Recent questions tagged gate1999

Recent questions tagged gate1999

4 votes

4 answers

1

GATE CSE 1999 | Question: 20-b
Consider the following solution to the producer-consumer problem using a buffer of size 1. Assume that the initial value of count is 0. Also assume that the testing of count and assignment to count are atomic operations. Producer: Repeat Produce an ... item; Forever; Show that in this solution it is possible that both the processes are sleeping at the same time.

go_editor asked in Operating System Feb 28, 2018

2.2k views

2 votes

3 answers

2

GATE CSE 1999 | Question: 22-b
Consider the set of relations EMP (Employee-no. Dept-no, Employee-name, Salary) DEPT (Dept-no. Dept-name, Location) Write an SQL query to: Calculate, for each department number, the number of employees with a salary greater than Rs. 1,00,000

go_editor asked in Databases Feb 8, 2018

1.0k views

24 votes

2 answers

3

GATE CSE 1999 | Question: 11b
Write a constant time algorithm to insert a node with data $D$ just before the node with address $p$ of a singly linked list.

Arjun asked in DS Dec 17, 2016

by Arjun

2.0k views

17 votes

4 answers

4

GATE CSE 1999 | Question: 3
Mr. X claims the following: If a relation R is both symmetric and transitive, then R is reflexive. For this, Mr. X offers the following proof: “From xRy, using symmetry we get yRx. Now because R is transitive xRy and yRx together imply xRx. Therefore, R is reflexive”. Give an example of a relation R which is symmetric and transitive but not reflexive.

Kathleen asked in Set Theory & Algebra Sep 24, 2014

2.0k views

22 votes

3 answers

5

GATE CSE 1999 | Question: 22-a
Consider the set of relations EMP (Employee-no. Dept-no, Employee-name, Salary) DEPT (Dept-no. Dept-name, Location) Write an SQL query to: Find all employees names who work in departments located at ‘Calcutta’ and whose salary is greater than Rs.50,000. Calculate, for each department number, the number of employees with a salary greater than Rs. 1,00,000.

Kathleen asked in Databases Sep 24, 2014

10.1k views

32 votes

2 answers

6

GATE CSE 1999 | Question: 21
Consider a B-tree with degree $m$, that is, the number of children, $c$, of any internal node (except the root) is such that $m \leq c \leq 2m-1$. Derive the maximum and minimum number of records in the leaf nodes for such a B-tree with height $h, h \geq 1. ($Assume that the root of a tree is at height $0).$

Kathleen asked in Databases Sep 24, 2014

6.3k views

20 votes

6 answers

7

GATE CSE 1999 | Question: 20-a
A certain processor provides a 'test and set' instruction that is used as follows: TSET register, flag This instruction atomically copies flag to register and sets flag to $1$. Give pseudo-code for implementing the entry and exit code to a critical region using this instruction.

Kathleen asked in Operating System Sep 24, 2014

2.9k views

40 votes

4 answers

8

GATE CSE 1999 | Question: 19
A certain computer system has the segmented paging architecture for virtual memory. The memory is byte addressable. Both virtual and physical address spaces contain $2^{16}$ bytes each. The virtual address space is divided into $8$ non-overlapping equal ... in page table entry for storing the aging information for the page? Assume that the page size is $512$ bytes.

Kathleen asked in Operating System Sep 24, 2014

15.2k views

0 votes

0 answers

9

GATE CSE 1999 | Question: 18
Design a 2K $\times$ 8 (2048 locations, each 8 bit wide) memory system mapped at addresses (1000)$_{16}$ to (17FF)$_{16}$ for the 8085 processor using four 1K $\times$ ... address lines. $A_0$ is the lest significant) $D_0, D_1, D_2, D_3$ (bi-directional data lines. $D_0$ is the least significant)

Kathleen asked in CO and Architecture Sep 24, 2014

457 views

19 votes

3 answers

10

GATE CSE 1999 | Question: 17
Consider the following program fragment in the assembly language of a certain hypothetical processor. The processor has three general purpose registers $R1, R2$and $R3$. The meanings of the instructions are shown by comments (starting with ;) after the instructions. ... the values n, 0, and 0 respectively. What is the final value of $R3$ when control reaches $Z$?

Kathleen asked in CO and Architecture Sep 24, 2014

4.0k views

0 votes

0 answers

11

GATE CSE 1999 | Question: 16

Kathleen asked in Others Sep 24, 2014

323 views

12 votes

1 answer

12

GATE CSE 1999 | Question: 15
What will be the output of the following program assuming that parameter passing is call by value call by reference call by copy restore procedure P{x, y, z}; begin y:y+1; z: x+x; end; begin a:= b:= 3; P(a+b, a, a); Print(a); end

Kathleen asked in Compiler Design Sep 24, 2014

4.2k views

10 votes

3 answers

13

GATE CSE 1999 | Question: 14
Show that the formula $\left[(\sim p \vee q) \Rightarrow (q \Rightarrow p)\right]$ is not a tautology. Let $A$ be a tautology and $B$ any other formula. Prove that $(A \vee B)$ is a tautology.

Kathleen asked in Mathematical Logic Sep 24, 2014

1.5k views

30 votes

3 answers

14

GATE CSE 1999 | Question: 13
An instruction pipeline consists of $4$ stages - Fetch $(F)$, Decode field $(D)$, Execute $(E)$ and Result Write $(W)$. The $5$ instructions in a certain instruction sequence need these stages for the different number of clock cycles as shown by the ... 1$} & \text{$2$} \\\hline \end{array}$ Find the number of clock cycles needed to perform the $5$ instructions.

Kathleen asked in CO and Architecture Sep 24, 2014

6.9k views

19 votes

3 answers

15

GATE CSE 1999 | Question: 12
In binary tree, a full node is defined to be a node with $2$ children. Use induction on the height of the binary tree to prove that the number of full nodes plus one is equal to the number of leaves. Draw the min-heap that results from insertion of the following ... empty min-heap: $7, 6, 5, 4, 3, 2, 1$. Show the result after the deletion of the root of this heap.

Kathleen asked in DS Sep 24, 2014

3.1k views

35 votes

2 answers

16

GATE CSE 1999 | Question: 11a
Consider the following algorithms. Assume, procedure $A$ and procedure $B$ take $O (1)$ and $O(1/n)$ unit of time respectively. Derive the time complexity of the algorithm in $O$-notation. algorithm what (n) begin if n = 1 then call A else begin what (n-1); call B(n) end end.

Kathleen asked in Algorithms Sep 23, 2014

4.7k views

6 votes

1 answer

17

GATE CSE 1999 | Question: 10
Suppose we have a function HALTS which when applied to any arbitrary function $f$ and its arguments will say TRUE if function $f$ terminates for those arguments and FALSE otherwise. Example: Given the following function definition. FACTORIAL (N) ... have a function like HALTS which for arbitrary functions and inputs says whether it will terminate on that input or not.

Kathleen asked in Theory of Computation Sep 23, 2014

850 views

2 votes

0 answers

18

GATE CSE 1999 | Question: 9
Let synthesized attribute val give the value of the binary number generated by S in the following grammar. For example, on input 101.101, S.val = 5.625. $S \rightarrow L.L \mid L$ $L \rightarrow LB \mid B$ $B \rightarrow 0 \mid 1$ Write S-attributed values corresponding to each of the productions to find S.val.

Kathleen asked in Compiler Design Sep 23, 2014

1.2k views

28 votes

3 answers

19

GATE CSE 1999 | Question: 8
Let $A$ be an $n \times n$ matrix such that the elements in each row and each column are arranged in ascending order. Draw a decision tree, which finds $1$st, $2$nd and $3$rd smallest elements in minimum number of comparisons.

Kathleen asked in Algorithms Sep 23, 2014

3.6k views

31 votes

2 answers

20

GATE CSE 1999 | Question: 7
Show that the language $L = \left\{ xcx \mid x \in \left\{0,1\right\}^* \text{ and }c\text{ is a terminal symbol}\right\}$ is not context free. $c$ is not $0$ or $1$.

Kathleen asked in Theory of Computation Sep 23, 2014

3.3k views

27 votes

4 answers

21

GATE CSE 1999 | Question: 6
Given that $A$ is regular and $(A \cup B)$ is regular, does it follow that $B$ is necessarily regular? Justify your answer. Given two finite automata $M1, M2$, outline an algorithm to decide if $L(M1) \subset L(M2)$. (note: strict subset)

Kathleen asked in Theory of Computation Sep 23, 2014

2.9k views

28 votes

5 answers

22

GATE CSE 1999 | Question: 5
Let $G$ be a connected, undirected graph. A cut in $G$ is a set of edges whose removal results in $G$ being broken into two or more components, which are not connected with each other. The size of a cut is called its cardinality. A min-cut of $G$ is a cut ... $n$ vertices has a min-cut of cardinality $k$, then $G$ has at least $\left(\frac{n\times k}{2}\right)$ edges.

Kathleen asked in Graph Theory Sep 23, 2014

4.8k views

7 votes

1 answer

23

GATE CSE 1999 | Question: 4
Let $G$ be a finite group and $H$ be a subgroup of $G$. For $a \in G$, define $aH=\left\{ah \mid h \in H\right\}$. Show that $|aH| = |bH|.$ Show that for every pair of elements $a, b \in G$, either $aH = bH$ or $aH$ and $bH$ are disjoint. Use the above to argue that the order of $H$ must divide the order of $G.$

Kathleen asked in Set Theory & Algebra Sep 23, 2014

1.9k views

35 votes

1 answer

24

GATE CSE 1999 | Question: 2.25
Which of the following is/are correct? An SQL query automatically eliminates duplicates An SQL query will not work if there are no indexes on the relations SQL permits attribute names to be repeated in the same relation None of the above

Kathleen asked in Databases Sep 23, 2014

13.7k views

35 votes

3 answers

25

GATE CSE 1999 | Question: 2.24
Consider the following $C$ function definition int Trial (int a, int b, int c) { if ((a>=b) && (c<b)) return b; else if (a>=b) return Trial(a, c, b); else return Trial(b, a, c); } The functional Trial: Finds the maximum of $a$, $b$, and $c$ Finds the minimum of $a$, $b$, and $c$ Finds the middle number of $a$, $b$, $c$ None of the above

Kathleen asked in Algorithms Sep 23, 2014

7.7k views

43 votes

2 answers

26

GATE CSE 1999 | Question: 2.23
A certain processor supports only the immediate and the direct addressing modes. Which of the following programming language features cannot be implemented on this processor? Pointers Arrays Records Recursive procedures with local variable

Kathleen asked in CO and Architecture Sep 23, 2014

11.5k views

30 votes

4 answers

27

GATE CSE 1999 | Question: 2.22
The main difference(s) between a CISC and a RISC processor is/are that a RISC processor typically has fewer instructions has fewer addressing modes has more registers is easier to implement using hard-wired logic

Kathleen asked in CO and Architecture Sep 23, 2014

6.9k views

38 votes

7 answers

28

GATE CSE 1999 | Question: 2.21
If $T_1 = O(1)$, give the correct matching for the following pairs: $\begin{array}{l|l}\hline \text{(M) $T_n = T_{n-1} + n$} & \text{(U) $T_n = O(n)$} \\\hline \text{(N) $T_n = T_{n/2} + n$} & \text{(V) $T_n = O(n \log n)$} \\\hline \text{(O) $T_n = T_{n/2} + ... $\text{M-W, N-U, O-X, P-V}$ $\text{M-V, N-W, O-X, P-U}$ $\text{M-W, N-U, O-V, P-X}$

Kathleen asked in Algorithms Sep 23, 2014

10.7k views

15 votes

2 answers

29

GATE CSE 1999 | Question: 2.19
Arrange the following configuration for CPU in decreasing order of operating speeds: Hard wired control, Vertical microprogramming, Horizontal microprogramming. Hard wired control, Vertical microprogramming, Horizontal microprogramming. Hard ... , Vertical microprogramming, Hard wired control. Vertical microprogramming, Horizontal microprogramming, Hard wired control.

Kathleen asked in CO and Architecture Sep 23, 2014

6.0k views

21 votes

6 answers

30

GATE CSE 1999 | Question: 2-18, ISRO2008-46
Raid configurations of the disks are used to provide Fault-tolerance High speed High data density (A) & (B)

Kathleen asked in Operating System Sep 23, 2014

7.8k views

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