GATE CSE 2015 Set 1 | Searching and Sorting Question 15 | Algorithms

GATE CSE 2015 Set 1

MCQ (Single Correct Answer)

-0.6

Consider a max heap, represented by the array: 40, 30, 20, 10, 15, 16, 17, 8, 4.

Array Index	1	2	3	4	5	6	7	8	9
Value	40	30	20	10	15	16	17	8	4

Now consider that a value 35 is inserted into this heap. After insertion, the new heap is

40, 30, 20, 10, 15, 16, 17, 8, 4, 35

40, 35, 20, 10, 30, 16, 17, 8, 4, 15

40, 30, 20, 10, 35, 16, 17, 8, 4, 15

40, 35, 20, 10, 15, 16, 17, 8, 4, 30

GATE CSE 2009

MCQ (Single Correct Answer)

-0.6

Consider a binary max-heap implemented using an array. What is the content of the array {25, 14, 16, 13, 10, 8, 12} after two delete operations?

{14, 13, 12, 10, 8}

{14, 12, 13, 8, 10}

{14, 13, 8, 12, 10}

{14, 13, 12, 8 10}

GATE CSE 2009

MCQ (Single Correct Answer)

-0.6

Consider a binary max-heap implemented using an array. Which one of the following array represents a binary max-heap?

$$\left\{25,12,16,13,10,8,14\right\}$$

$$\left\{25,14,13,16,10,8,12\right\}$$

$$\left\{25,14,16,13,10,8,12\right\}$$

$$\left\{25,14,12,13,10,8,16\right\}$$

GATE CSE 2008

MCQ (Single Correct Answer)

-0.6

We have a binary heap on n elements and wish to insert n more elements (not necessarily one after another) into this heap. The total time required for this is

$$\Theta(\log n)$$

$$\Theta(n)$$

$$\Theta(n\log n)$$

$$\Theta(n^2)$$

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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

Number Systems Boolean Algebra K Maps Combinational Circuits 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

Compiler Design

Lexical Analysis Parsing Syntax Directed Translation 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

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