GATE CSE 2012

## GATE CSE

The worst case running time to search for an element in a balanced binary search tree with n2n elements is

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Let W(n) and A(n) denote respectively, the worst case and average case running time of an algorithm executed on an input

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A list of n strings, each of length n, is sorted into lexicographic order using the merge-sort algorithm. The worst case

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Consider the directed graph shown in the figure below. There are multiple shortest paths between vertices S and T. Which

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Given the language L= { ab, aa, baa }, which of the following strings are in L* ?
1) abaabaaabaa
2) aaaabaaaa
3) baaa

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The protocol data unit (PDU) for the application layer in the Internet stack is

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In the IPv4 addressing format, the number of networks allowed under Class C addresses is

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An Internet Service Provider (ISP) has the following chunk of CIDR-based IP addresses available with it: 245.248.128.0/2

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Consider a source computer (S) transmitting a file of size 106 bits to a destination computer (D) over a network of two

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Which of the following transport layer protocols is used to support electronic mail?

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Consider an instance of TCP’s Additive Increase Multiplicative Decrease (AIMD) algorithm where the window size at the st

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The decimal value $$0.5$$ in $$IEEE$$ single precision floating point representation has

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The amount of $$ROM$$ needed to implement a $$4$$ bit multiplier is

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A computer has a $$256$$ $$K$$ Byte, $$4$$-way set associative, write back data cache with block size of $$32$$ Bytes. T

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A computer has a $$256$$ $$K$$ Byte, $$4$$-way set associative, write back data cache with block size of $$32$$ Bytes. T

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Register renaming is done in pipelined processors

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Suppose a circular queue of capacity (n – 1) elements is implemented with an array of n elements. Assume that the insert

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The height of a tree is defined as the number of edges on the longest path in the tree. The function shown in the pseudo

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Let G be a weighted graph with edge weights greater than one and G' be the graph constructed by squaring the weights of

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Given the basic $$ER$$ and relational models, which of the following is INCORRECT?

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Which of the following is TRUE?

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Which of the following statements are TRUE about an SQL query?
P: An SQL query can contain a HAVING clause even if it do

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Suppose R1 (A, B) and R2 (C, D) are two relation schemas. Let r1 and r2 be the
corresponding relation instances. B is a

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Consider the following relations A, B and C:
A
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.tg td{font-family:Ari

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Consider the following relations A, B and C:
A
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.tg td{font-family:Ari

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Consider the following transactions with data items P and Q initialized to zero:
T1 : read (P) ;
read (Q) ;

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What is the minimal form of the Karnaugh map shown below? Assume that $$X$$ denotes a don’t care term.

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Consider the following logical inferences.
$${{\rm I}_1}:$$ If it rains then the cricket match will not be played. The

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What is the correct translation of the following statement into mathematical logic? "Some real numbers are rational"

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The truth table
Represents the Boolean function

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Consider a random variable X that takes values + 1 and-1 with probability 0.5 each.
The values of the cumulative distr

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Suppose a fair six-sided die is rolled once. If the value on the die is 1, 2 or 3 the die is rolled a second time. What

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How many onto (or subjective) functions are there form an n-element $$(n\, \ge \,2)$$ set to a 2-element set ?

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The recurrence relation capturing the optional execution time of the Towers of Hanoi problem with $$n$$ discs is

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Let G be a simple undirected planner graph on 10 vertices with 15 edges. If G is a connected graph, then the number of b

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Consider the function $$f\left( x \right) = \sin \left( x \right)$$ in the interval $$x \in \left[ {\pi /4,\,\,7\pi /4}

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Which of the following graphs is isomorphic to

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Let $$G$$ be a complete undirected graph on $$6$$ vertices. If vertices of $$G$$ $$\,\,\,\,$$ are labeled, then the numb

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Let $$A$$ be the $$2 \times 2$$ matrix with elements $${a_{11}} = {a_{12}} = {a_{21}} = + 1$$ and $${a_{22}} = - 1$$.

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A process executes the code
fork $$\left( {\,\,\,} \right);$$
fork $$\left( {\,\,\,} \right);$$
fork $$\left( {\,\,\,}

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Consider the $$3$$ processes, $$P1,$$ $$P2$$ and $$P3$$ shown in the table.
.tg {border-collapse:collapse;border-spac

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Fetch_And_Add (X, i) is an atomic Read-Modify-Write instruction that reads the value of memory location X, increments it

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Consider the virtual page reference string
$$$1,2,3,2,4,1,3,2,4,1$$$
On a demand paged virtual memory system running on

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A file system with 300 G Byte disk uses a file descriptor with 8 direct block addresses, 1 indirect block address and 1

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What will be the output of the following C program segment?
Char inchar = 'A';
Switch ( inchar ) {
case 'A' : printf ("C

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Consider the program given below, in a block-structured pseudo-language with lexical
scoping and nesting of procedures p

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Consider the following C code segment.
int a, b, c = 0;
void prtFun(void);
main( )
{
static int a = 1; /* Line 1 */

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Consider the following C code segment.
int a, b, c = 0;
void prtFun(void);
main( )
{
static int a = 1; /* Line 1 */

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What is the complement of the language accepted by the $$NFA$$ shown below?
Assume $$\sum { = \left\{ a \right\}\,\,} $

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Consider the set of strings on $$\left\{ {0,1} \right\}$$ in which, every substring of $$3$$ symbols has at most two zer

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Which of the following problems are decidable?
$$1.$$ Does a given program ever produce an output?
$$2.$$ If L is a cont

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