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GATE CSE 2004

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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GATE CSE

The tightest lower bound on the number of comparisons, in the worst case, for co...
What does the following algorithm approximate? <br>(Assume m &gt; 1, $$\in &gt... Let A[1,...,n] be an array storing a bit (1 or 0) at each location, and f(m) is ... The time complexity of the following C function is (assume n &gt; 0) <pre><code ... The recurrence equation<br> T(1) = 1<br> T(n) = 2T(n - 1)+n,$$n \ge 2$$<br> Eva... The elements 32, 15, 20, 30, 12, 25, 16, are inserted one by one in the given or... Suppose we run Dijkstra’s single source shortest-path algorithm on the following... The tightest lower bound on the number of comparisons, in the worst case, for co... The problems 3-SAT and 2-SAT are <p>Which of the following grammar rules violate the requirements of an operator ... <p>Consider the grammar with the following translation rules and E as the start ... Consider the grammar rule$$E \to {E_1} - {E_2}$$for arithmetic expressions. Th... Choose the best matching between <b>Group 1</b> and <b>Group 2 </b>: <p><b>Gro... A and B are the only two stations on an Ethernet. Each has a steady queue of fra... Which of the following is NOT true with respect to a transparent bridge and a ro... The routing table of a router is shown below: <img class="question-image" src="h... <p>Consider three IP networks A, B and C. Host H<sub>A</sub> in networks A sends... <p>Consider three IP networks A, B and C. Host H<sub>A</sub> in networks A sends... A TCP message consisting of 2100 bytes is passed to IP for delivery across two n... Suppose that the maximum transmit window size for a TCP connection is 12000 byte... A sender is employing public key Cryptography to send a secret message to a rece... What is the result of evaluating the following two expressions using three$$-$$...$$A4$$-bit carry look ahead adder, which adds two$$4$$-bit numbers, is des... Consider a small two-way set-associative cache memory, consisting of four blocks... A$$4$$-stage pipeline has the stage delays as$$150, 120,160$$and$$140$$nano... Which of the following addressing modes are suitable for program relocation at r... Consider the following program segment for a hypothetical$$CPU$$having three ... Consider the following program segment for a hypothetical$$CPU$$having three ... Which one of the following is true for a$$CPU$$having a single interrupt reque... How many$$8$$-bit characters can be transmitted per second over$$9600$$baud s... A Hard disk with a transfer rate of$$10Mbytes/second$$is constantly transferri... The microinstructions stored in the control memory of a processor have a width o... A single array A[1..MAXSIZE] is used to implement two stacks, The two stacks gro... Two matrices M<sub>1</sub> and M<sub>2</sub> are to be stored in arrays A and B ... The best data structure to check whether an arithmetic expression has balanced p... Assume that the operators +, -, ×, are left associative and ^ is right associati... A program attempts to generate as many permutation as possible of the string “ab... A circularly linked list is used to represent a Queue. A single variable p is us... Let P be a singly linked list, Let Q be the pointer to an intermediate node x in... Level order traversal of a rooted tree can be done by starting from the root and... The following numbers are inserted into an empty binary search tree in the given... Consider the following C program segment <pre><code class="c">struct CellNode{ ... Consider the label sequences obtained by the following pairs of traversals on a ... In a depth-first traversal of a graph G with n vertices,k edges are marked as tr... Given the following input (4322, 1334, 1471, 9679, 1989, 6171, 6173, 4199) and t... A program takes as input a balanced binary search tree with n leaf nodes and com... Consider the following entity relationship diagram$$(ERD),$$where two entities... The relation scheme student Performance (Name, CourseNo, RollNo, Grade) has the ... A relation Empdt$$1$$is defined with attributes empcode (unique), name, street... Consider the following relation schema pertaining to a students database: <pre><... <p>The employee information in a company is stored in the relation</p> Employee ... A relational database contains two table <b>student</b> and <b>department</b> in... Consider two tables in a relational database with columns and rows as follows: <... Let R<sub>1</sub> (<u>A,</u> B, C) and R<sub>2</sub> (<u>D,</u> E) be two relati... Consider the relation <b>Student (<u>name,</u> sex, marks)</b>, where the primar... Which level of locking provides the highest degree of concurrency in a relationa... Consider the following schedule S of transactions T1 and T2: <img class="questio... The order of an internal node in a B<sup>+</sup> tree index is the maximum numbe... Consider a table T in a relational database with a key field K. A B-tree of orde...$${73_x}$$(in base$$-x$$number system) is equal to$${54_y}$$(in base ... Let$$A=11111010$$and$$B=00001010$$be two$$8$$-bit$$2's$$complem... The Boolean function$$x'y' +xy +x'y$$is equivalent to Which are the essential prime implicants of the following Boolean function?$$F\...
A circuit outputs a digit in the form of $$4$$ bits. $$0$$ is represented by $$0... Consider a multiplexer with$$X$$and$$Y$$as data inputs and$$Z$$as control ...$$SR.$$latch made by cross coupling two$$NAND$$gates if$$S=R=0,$$Then it wi... Consider the partial implementation of a$$2$$-bit counter using$$T$$flip-flop... Identify the correct translation into logical notation of the following assertio... Let$$a(x,y)$$,$$b(x,y)$$and$$c(x,y)$$be three statements with variables$$x...
Let $$p, q, r$$ and $$s$$ be four primitive statements. Consider the following a...
The following propositional statement is $$\left( {P \to \left( {Q \vee R} \rig... In a population of N families, 50% of the families have three children, 30% of t... If a fair coin is tossed four times, what is the probability that two heads and ... A point is randomly selected with uniform probability in the X-Y plane within th... An examination paper has 150 multiple-choice questions of one mark each, with ea... Two n bit binary stings, S1 and, are chosen randomly with uniform probability. T... The following is the incomplete operation table of a 4-element group. <img class... The inclusion of which of the following sets into <p> S = { {1, 2}, 1, 2, 3}, {... Consider the binary relation:$$S = \left\{ {\left( {x,y} \right)|y = x + 1\,\,a...
The number of different $$n$$ $$x$$ $$n$$ symmetric matrices with each ele...
Let $${R_1}$$ be a relation from $$A = \left\{ {1,3,5,7} \right\}$$ to $$B = \le... In a class of 200 students, 125 students have taken Programming Language course,... Let A, B, C, D be$$n\,\, \times \,\,n$$matrices, each with non-zero determinat... What values of x, y and z satisfy the following system of linear equations?$$\$\...
What is the maximum number of edges in an acyclic undirected graph with $$n$$ ve...
Mala has a colouring book in which each English letter is drawn two times. She w...
In how many ways can we distribute 5 distinct balls, $${B_1},{B_2},......,{B_5}... The recurrence equation <br>$$\,\,\,\,\,\,\,T\left( 1 \right) = 1$$<br>$$\,\,\...
How many solutions does the following system of linear equations have? <br><br>...
The minimum number of colours required to colour the following graph, such that ...
In an M$$\times$$N matrix such that all non-zero entries are covered in $$a$$ ...
If matrix $$X = \left[ {\matrix{ a &amp; 1 \cr { - {a^2} + a - 1} &amp; ... Let$$A$$be and n$$ \times $$n matrix of the folowing form. <img class="questio... How many graphs on$$n$$labeled vertices exist which have at least$$\left( {{n...
Let $${G_1} = \left( {V,\,{E_1}} \right)$$ and $${G_2} = \left( {V,\,{E_2}} \rig... What is the number of vertices in an undirected connected graph with$$27$$edge... The number of different$$n \times n$$symmetric matrices with each elements bei... Consider the following statements with respect to user-level threads and kernel-... Consider the following set of processes, with the arrival times and the$$CPU$$-... Consider a program$$P$$that consists of two source modules$${M_1}$$and$${M_...
Which of the following addressing modes are suitable for program relocation at r...
The minimum number of page frames that must be allocated to a running process in...
Consider a System with a two-level paging scheme in which a regular memory acces...
Consider an operating system capable of loading and executing a single sequentia...
The goal of structured programming is to
Choose the best matching between the programming style in <b>Group 1</b> and the...
Consider the following C function: <pre><code>int f(int n) { static int i = 1; i...
Consider the following C program <pre><code class="c">main ( ) { int x, y, m,...
Consider the following C function: <pre><code class="c">void swap (int a, int b)...
Consider the following C program segment: <pre><code>char p[20]; char *s = "stri...
The following finite state machine accepts all those binary strings in which the...
Which of the following grammar rules violate the requirements of an operator gra...
Consider the following grammar $$G:$$ <br>\eqalign{ &amp; S \to bS\,\left| ... The language\left\{ {{a^m}{b^n}{c^{m + n}}\left| {m,n \ge } \right.} \right\}...
Let $$M = \left( {K,\,\sum {,\,F,\,\Delta ,\,s,\,F} } \right)$$ be a pushdown au...

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