GATE CSE 2015 Set 1

## GATE CSE

Match the following:
List 1
(P) Prim’s algorithm for minimum spanning tree
(Q) Floyd-Warshall algorithm for all pairs sh

View Question Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for

View Question Consider a max heap, represented by the array: 40, 30, 20, 10, 15, 16, 17, 8, 4.
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View Question An algorithm performs $${\left( {\log N} \right)^{1/2}}$$ find operations, N insert operations, $${\left( {\log N} \righ

View Question Consider the following C function.
int fun1 (int n) {
int i, j, k, p, q = 0;
for (i = 1; i < n; ++i)

View Question The graph shown below has 8 edges with distinct integer edge weights. The minimum spanning tree (MST) is of weight 36 an

View Question Which one of the following is TRUE at any valid state in shift-reduce parsing?

View Question A variable x is said to be live at a statement $${S_i}$$ in a programif the following three conditions hold simultaneous

View Question The least number of temporary variables required to create a three-address code in static single assignment form for the

View Question Consider a LAN with four nodes S1, S2, S3 and S4. Time is divided into fixed-size slots, and a node can begin its transm

View Question Suppose that the stop-and-wait protocol is used on a link with a bit rate of 64 kilobits per second and 20 milliseconds

View Question Which one of the following fields of an IP header is NOT modified by a typical IP router?

View Question Suppose two hosts use a TCP connection to transfer a large file. Which of the following statements is/are FALSE with res

View Question In one of the pairs of protocols given below, both the protocols can use multiple TCP connections between the same clien

View Question Suppose that everyone in a group of N people wants to communicate secretly with the N - 1 others using symmetric key cry

View Question For computers based on three-address instruction formats, each address field can be used to specify which of the followi

View Question Consider a disk pack with a seek time of 4 milliseconds and rotational speed of 10000 rotations per minute (RPM). It has

View Question Consider a non-pipelined processor with a clock rate of 2.5 gigahertz and average cycles per instruction of four. The sa

View Question The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a

View Question Which of the following is/are correct inorder traversal sequence(s) of binary search tree(s)?
I. 3, 5, 7, 8, 15, 19, 25

View Question What are the worst-case complexities of insertion and deletion of a key in a binary search tree?

View Question Let G = (V, E) be a simple undirected graph, and s be a particular vertex in it called the source. For $$x \in V$$, let

View Question A file is organized so that the ordering of data records is the same as or close to the ordering of data entries in some

View Question SELECT operation in SQL is equivalent to

View Question Consider an Entity-Relationship (ER) model in which entity sets E1 and E2 are connected by an m : n relationship R12. E1

View Question Consider the following relation:
Student
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View Question Consider a 4-bit Johnson counter with an initial value of 0000. The counting sequence of this counter is

View Question The binary operator $$ \ne $$ is defined by the following truth table.
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View Question A positive edge-triggered D flip-flop is connected to a positive edge-triggered JK flip-flop as follows. The Q output of

View Question Consider the operations
$$f\left( {x,y,z} \right) = X'YZ + XY' + Y'Z'$$ and $$g\left( {x,y,z} \right) = X'YZ + X'YZ' +

View Question Consider the following $$2 \times 2$$ matrix $$A$$ where two elements are unknown and are marked by $$a$$ and $$b.$$ The

View Question $$\,\,\mathop {\lim }\limits_{x \to \infty } \,{x^{1/x}}\,\,$$ is

View Question $$\,\int\limits_{1/\pi }^{2/\pi } {{{\cos \left( {1/x} \right)} \over {{x^2}}}dx = } $$ __________.

View Question If $$g(x)=1-x$$ & $$h\left( x \right) = {x \over {x - 1}}\,\,$$ then $$\,\,{{g\left( {h\left( x \right)} \right)} \

View Question Given Set $$\,\,\,A = \left\{ {2,3,4,5} \right\}\,\,\,$$ and Set $$\,\,\,B = \left\{ {11,12,13,14,15} \right\},\,\,\,$$

View Question The probabilities that a student passes in Mathematics, Physics and Chemistry are $$m, p$$ and $$c$$ respectively. Of th

View Question For a set A, the power set of A is denoted by 2A. If A = {5, {6}, {7}}, which of the following options are TRUE?
I. $$\p

View Question In the LU decomposition of the matrix $$\left[ {\matrix{
2 & 2 \cr
4 & 9 \cr
} } \right]$$, if the d

View Question Suppose L = { p, q, r, s, t } is a lattice represented by the following Hasse diagram:
For any $$x, y ∈ L$$, not necess

View Question $$\sum\limits_{x = 1}^{99} {{1 \over {x\left( {x + 1} \right)}}} $$ = _____________.

View Question Let G be a connected planar graph with 10 vertices. If the number of edges on each face is three, then the number of edg

View Question Let $${a_n}$$ represent the number of bit strings of length n containing two consecutive 1s. What is the recurrence rela

View Question Consider a system with byte-addressable memory, 32-bit logical addresses, 4 kilobyte page size and page table entries of

View Question A file is organized so that the ordering of data records is the same as or close to the ordering of data entries in some

View Question The following two functions P1 and P2 that share a variable B with an initial value of 2 execute concurrently.
P1( ) {

View Question Consider a uniprocessor system executing three tasks T1, T2 and T3, each of which is composed of an infinite sequence of

View Question Consider a main memory with five page frames and the following sequence of page references: 3, 8, 2, 3, 9, 1, 6, 3, 8, 9

View Question Suppose the following disk request sequence (track numbers) for a disk with 100 tracks is given: 45, 20, 90, 10, 50, 60,

View Question The output of the following C program is__________.
void f1(int a, int b) {
int c;
c=a; a=b; b=c;
}
void f2(int *a,

View Question What is the output of the following C code? Assume that the address of x is 2000 (in decimal) and an integer requires fo

View Question Consider the following pseudo code, where x and y are positive integers.
begin
q := 0
r := x
while r ≥ y d

View Question Match the following:
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View Question Consider the following C program segment. while(first <= last)
{
if (array[middle] < search)
first

View Question For any two languages L1 and L2 such that L1 is context-free and L2 is recursively enumerable but not recursive, which o

View Question
Consider the DFAs M and N given above. The number of states in a minimal DFA that accepts the language L(M) ∩ L(N) is__

View Question Consider the NPDA $$\left\langle {Q = \left\{ {{q_0},{q_1},{q_2}} \right\}} \right.,$$ $$\Sigma = \left \{ 0, 1 \right \

View Question Which of the following statements is/are FALSE?
I. XML overcomes the limitations in HTML to support a structured way of

View Question ## General Aptitude

Didn't you buy _________ when you went shopping?

View Question Which of the following combinations is incorrect?

View Question The pie chart below has the breakup of the number of students from different departments in an
engineering college for t

View Question Given set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one
from each set. What

View Question Which of the following options is the closest in meaning to the sentence below?
She enjoyed herself immensely at the par

View Question Based on the given statements, select the most appropriate option to solve the given question.
If two floors in a certai

View Question The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p, and c
respectively. Of these sub

View Question Select the alternative meaning of the underlined part of the sentence.
The chain snatchers took to their heels when the

View Question The given statement is followed by some courses of action. Assuming the statement to be true,
decide the correct option.

View Question The number of students in a class who have answered correctly, wrongly, or not attempted each
question in an exam, are l

View Question