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1
GATE CSE 2024 Set 1
MCQ (Single Correct Answer)
+1
-0.33

Given an integer array of size $N$, we want to check if the array is sorted (in either ascending or descending order). An algorithm solves this problem by making a single pass through the array and comparing each element of the array only with its adjacent elements. The worst-case time complexity of this algorithm is

A

both $O(N)$ and $\Omega(N)$

B

$O(N)$ but not $\Omega(N)$

C

$\Omega(N)$ but not $O(N)$

D

neither $O(N)$ nor $\Omega(N)$

2
GATE CSE 2023
MCQ (More than One Correct Answer)
+1
-0

Let $$f$$ and $$g$$ be functions of natural numbers given by $$f(n)=n$$ and $$g(n)=n^2$$. Which of the following statements is/are TRUE?

A
$$f \in O(g)$$
B
$$f \in \Omega (g)$$
C
$$f \in o(g)$$
D
$$f \in \Theta (g)$$
3
GATE CSE 2022
MCQ (Single Correct Answer)
+1
-0.33

Which one of the following statements is TRUE for all positive functions f(n) ?

A
f(n2) = $$\theta$$(f(n)2), when f(n) is a polynomial
B
f(n2) = o(f(n)2)
C
f(n2) = O(f(n)2), when f(n) is an exponential function
D
f(n2) = $$\Omega$$(f(n)2)
4
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+1
-0.33

Consider the following three functions.

f1 = 10n, f2 = nlogn, f3 = n√n

Which one of the following options arranges the functions in the increasing order of asymptotic growth rate?

A
f1 , f2, f3
B
f2, f1, f3
C
f3, f2, f1
D
f2, f3, f1
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GATE CSE Subjects
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
Complexity Analysis and Asymptotic Notations Searching and Sorting Divide and Conquer Method Greedy Method P and NP Concepts Dynamic Programming
Digital Logic
K Maps Boolean Algebra Combinational Circuits Number Systems Sequential Circuits
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
Software Engineering
Compiler Design
Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization
Web Technologies
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
Basic of Programming Language Function and Recursion 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
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