GATE CSE 2015 Set 1 | Trees Question 30 | Data Structures

GATE CSE 2015 Set 1

MCQ (Single Correct Answer)

-0.3

The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 are

63 and 6, respectively

64 and 5, respectively

32 and 6, respectively

31 and 5, respectively

GATE CSE 2015 Set 1

MCQ (Single Correct Answer)

-0.3

What are the worst-case complexities of insertion and deletion of a key in a binary search tree?

$$\Theta \left( {\log n} \right)$$ for both insertion and deletion

$$\Theta \left( n \right)$$ for both insertion and deletion

$$\Theta \left( n \right)$$ for insertion and $$\Theta \left( {\log n} \right)$$for deletion

$$\Theta \left( {\log n} \right)$$ for insertion and $$\Theta \left( n \right)$$ for deletion

GATE CSE 2015 Set 1

MCQ (Single Correct Answer)

-0.3

Which of the following is/are correct inorder traversal sequence(s) of binary search tree(s)?

I. 3, 5, 7, 8, 15, 19, 25
II. 5, 8, 9, 12, 10, 15, 25
III. 2, 7, 10, 8, 14, 16, 20
IV. 4, 6, 7, 9 18, 20, 25

I and IV only

II and III only

II and IV only

II only

GATE CSE 2015 Set 3

MCQ (Single Correct Answer)

-0.3

While inserting the elements $$71, 65, 84, 69, 67, 83$$ in an empty binary search tree $$(BST)$$ in the sequence shown, the element in the lowest level is

$$65$$

$$67$$

$$69$$

$$83$$

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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

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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

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

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Arrays Stacks and Queues Linked List Trees Graphs Hashing

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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

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Compiler Design

Syntax Directed Translation Parsing Lexical Analysis Code Generation and Optimization

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

Programming Languages

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

Computer Organization

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