GATE CSE 2020

## GATE CSE

For parameters a and b, both of which are $$\omega \left( 1 \right)$$,
T(n) = $$T\left( {{n^{1/a}}} \right) + 1$$, and T

View Question Let G = (V, E) be a weighted undirected graph and let T be a Minimum Spanning Tree (MST) of G maintained using adjacency

View Question Consider a graph G = (V, E), where V = {v1, v2, ...., v100},
E = {(vi, vj) | 1 ≤ i < j ≤ 100}, and weight of the edg

View Question Consider the following statements.
I. Symbol table is accessed only during lexical analysis and syntax analysis.
II. Com

View Question Consider the following grammar.
S $$ \to $$ aSB| d
B $$ \to $$ b
The number of reduction steps taken by a bottom-up pars

View Question Consider the productions A $$ \to $$ PQ and A $$ \to $$ XY. Each of the five non-terminals A, P, Q, X, and Y has two att

View Question Consider the following statements about the functionality of an IP based router.
I. A router does not modify the IP pack

View Question Assume that you have made a request for a web page through your web browser to a web server. Initially the browser cache

View Question An organization requires a range of IP addresses to assign one to each of its 1500 computers. The organization has appro

View Question Consider a TCP connection between a client and a server with the following specifications: the round trip time is 6 ms,

View Question Consider the following statements.
I. Daisy chaining is used to assign priorities in attending interrupts.
II. When a de

View Question Consider the following data path diagram.
Consider an instruction: R0 $$ \leftarrow $$ R1 + R2. The following steps are

View Question A direct mapped cache memory of 1 MB has a block ize of 256 bytes. The cache has an access time of 3 ns and a hit rate o

View Question A computer system with a word length of 32 bits has a 16 MB byte-addressable main memory and a 64 KB, 4-way set associat

View Question Consider a non-pipelined processor operating at 2.5 GHz. It takes 5 clock cycles to complete an instruction. You are goi

View Question A processor has 64 registers and uses 16-bit instruction format. It has two types of instructions: I-type and R-type. Ea

View Question The preorder traversal of a binary search tree is 15, 10, 12, 11, 20, 18, 16, 19.
Which one of the following is the post

View Question What is the worst case time complexity of inserting n2 elements into an AVL-tree with n elements initially?

View Question What is the worst case time complexity of inserting n elements into an empty linked list, if the linked list needs to be

View Question Consider a double hashing scheme in which the primary hash function is h1(k)=k mod 23, and the secondary hash function i

View Question Consider the following C program.
#include < stdio.h >
int main () {
int a [4] [5] = {{1, 2, 3, 4, 5},

View Question In a balanced binary search tree with n elements, what is the worst case time complexity of reporting all elements in ra

View Question Let G = (V, E) be a directed, weighted graph with weight function w: E $$ \to $$ R. For some function f: V $$ \to $$ R,

View Question Consider the array representation of a binary min-heap containing 1023 elements. The minimum number of comparisons requi

View Question Consider a relational database containing the following schemas.
The primary key of each table is indicated by underlyi

View Question Which one of the following is used to represent the supporting many-one relationships of a weak entity set in an entity-

View Question Consider a relational table R that is in 3NF, but not in BCNF. Which one of the following statements is TRUE?

View Question Consider a schedule of transactions T1 and T2 :
Here, RX stands for “Read(X)” and WX stands for “Write(X)”. Which one o

View Question Consider a database implemented using B+ tree for file indexing and installed on a disk drive with block size of 4 KB. T

View Question A multiplexer is placed between a group of 32 registers and an accumulator to regulate data movement such that at any gi

View Question If there are m input lines and n output lines for a decoder that is used to uniquely address a byte addressable 1 KB RAM

View Question Consider the Boolean function z(a,b,c).
Which one of the following minterm lists represents the circuit given above?

View Question Consider three registers R1, R2 and R3 that store numbers in IEEE-754 single precision floating point format. Assume tha

View Question Consider the functions
I. $${e^{ - x}}$$
II. $${x^2} - \sin x$$
III. $$\sqrt {{x^3} + 1} $$
Which of the above functions

View Question Let G be a group of 35 elements. Then the largest possible size of a subgroup of G other than G itself is ______.

View Question Let R be the set of all binary relations on the set {1,2,3}. Suppose a relation is chosen from R at random. The probabil

View Question Let A and B be two n$$ \times $$n matrices over real numbers. Let rank(M) and det(M) denote the rank and determinant of

View Question Which one of the following predicate formulae is NOT logically valid?
Note that W is a predicate formula without any fre

View Question The number of permutations of the characters in LILAC so that no character appears in its original position, if the two

View Question For n > 2, let a {0, 1}n be a non-zero vector. Suppose that x is chosen uniformly at random from {0, 1}n.
Then, the p

View Question Graph G is obtained by adding vertex s to K3,4 and making s adjacent to every vertex of K3,4. The minimum number of colo

View Question Consider the following statements about process state transitions for a system using preemptive scheduling.
I. A running

View Question Consider allocation of memory to a new process. Assume that none of the existing holes in the memory will exactly fit th

View Question Each of a set of n processes executes the following code using two semaphores a and b initialized to 1 and 0, respective

View Question Consider the following five disk access requests of the form (request id, cylinder number) that are present in the disk

View Question Consider a paging system that uses a 1-level page table residing in main memory and a TLB for address translation. Each

View Question Consider the following set of processes, assumed to have arrived at time 0. Consider the CPU scheduling algorithms Short

View Question Consider the following C functions.
int tob(int b, int* arr) {
int i;
for (i=0; b>0; i++) {
if (

View Question Consider the following C functions.
int fun1 (int n) {
static int i = 0;
if (n > 0) {
++i;

View Question Which one of the following regular expressions represents the set of all binary strings with an odd number of 1’s?

View Question Consider the following statements.
I. If L1 $$ \cup $$ L2 is regular, then both L1 and L2 must be regular.
II. The class

View Question Consider the language
L = { $${a^n}|n \ge 0$$ } $$ \cup $$ { $${a^n}{b^n}|n \ge 0$$ }
and the following statements.
I. L

View Question Which of the following languages are undecidable? Note that $$\langle M\rangle $$ indicates encoding of the Turing machi

View Question Consider the following languages.
L1 = {wxyx | w, x, y ∈ (0 + 1)+}
L2 = {xy | x, y ∈ (a + b)*, |x| = |y|, x ≠ y}
Which o

View Question Consider the following language.
L = {x $$ \in $$ {a, b}* | number of a’s in x is divisible by 2 but not divisible by 3}

View Question ## General Aptitude

Raman is confident of speaking English _____ six months as he has been practising regularly_____the last three weeks.

View Question Select the word that fits the analogy:
Cook : Cook :: Fly : _____

View Question His knowledge of the subject was excellent but his classroom performance was ______.

View Question The drawn of the 21st century witnessed the melting glaciers oscillating between giving too much and too little to billi

View Question There are multiple routes to reach from node 1 to node 2, as shown in the network.
The cost of travel on an edge betwee

View Question If P = 3, R = 27, T = 243, then Q + S = ______.

View Question Goods and Services Tax (GST) is an indirect tax introduced in India in 2017 that is imposed on the supply of goods and s

View Question Two straight lines are drawn perpendicular to each other in X-Y plane. If $$\alpha $$ and $$\beta $$ are the acute angle

View Question The figure below shows an annular ring with outer and inner radii as b and a, respectively. The annular space has been p

View Question The total revenue of a company during 2014-2018 is shown in the bar graph. If the total expenditure of the company in ea

View Question