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

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

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

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

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

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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

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

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

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

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

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

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

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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

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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

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

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

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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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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

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

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

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

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

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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

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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

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

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

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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

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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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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## General Aptitude

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

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

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

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

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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

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

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

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

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

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

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