GATE CSE 2001 | Complexity Analysis and Asymptotic Notations Question 55 | Algorithms

GATE CSE 2001

MCQ (Single Correct Answer)

-0.3

Let f(n) = n² log n and g(n) = n(log n)¹⁰ be two positive functions of n. Which of the following statements is correct?

f(n) = O(g(n)) and g(n) ≠ O(f(n))

g(n) = O(f(n)) and f(n) ≠ O(g(n))

f(n) ≠ O(g(n)) and g(n) ≠ O(f(n))

f(n) = O(g(n)) and g(n) = O(f(n))

GATE CSE 1999

MCQ (Single Correct Answer)

-0.3

The maximum gate delay for any output to appear in an array multiplier for multiplying two n bit number is

O (n²)

O (n)

O (log n)

O (1)

GATE CSE 1997

MCQ (Single Correct Answer)

-0.3

The concatenation of two lists is to be performed on 0(1) time. Which of the following implementations of a list should be used?

Singly linked list

Doubly linked list

Circular doubly linked list

Array implementation of list

GATE CSE 1996

MCQ (Single Correct Answer)

-0.3

Which of the following is false?

$$100\,n\,\log n = O\left( {{{n\,\log \,n} \over {100}}} \right)$$

$$\sqrt {\log \,n} = O(\log \,\log \,n)$$

if 0 < x < y then n ^x = O(n^y)

$${2^n} \ne O({n^k})$$

GATE CSE Subjects

Browse all chapters by subject

Theory of Computation

Finite Automata and Regular Language Push Down Automata and Context Free Language Undecidability Recursively Enumerable Language and Turing Machine

Operating Systems

Process Concepts and Cpu Scheduling Synchronization and Concurrency Deadlocks Memory Management File System IO and Protection

Algorithms

Greedy Method Complexity Analysis and Asymptotic Notations Dynamic Programming Divide and Conquer Method Searching and Sorting P and NP Concepts

Digital Logic

Sequential Circuits Boolean Algebra K Maps Combinational Circuits Number Systems

Database Management System

Er Diagrams Functional Dependencies and Normalization Structured Query Language Relational Algebra Transactions and Concurrency File Structures and Indexing

Data Structures

Arrays Stacks and Queues Linked List Trees Graphs Hashing

Computer Networks

Concepts of Layering Data Link Layer and Switching Network Layer Application Layer Protocol Routing Algorithm TCP UDP Sockets and Congestion Control Lan Technologies and Wi-Fi Network Security

Software Engineering

Compiler Design

Syntax Directed Translation Parsing Lexical Analysis Code Generation and Optimization

Web Technologies

General Aptitude

Verbal Ability Logical Reasoning Numerical Ability

Discrete Mathematics

Set Theory & Algebra Linear Algebra Graph Theory Combinatorics Mathematical Logic Probability Calculus

Programming Languages

Function and Recursion Basic of Programming Language Pointer and Structure in C

Computer Organization

Computer Arithmetic Pipelining Machine Instructions and Addressing Modes Memory Interfacing IO Interface Alu Data Path and Control Unit Secondary Memory