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1
GATE CSE 1994
MCQ (Single Correct Answer)
+2
-0.6
The recurrence relation that arises in relation with the complexity of binary search is:
A
$$T(n) = 2T\left(\frac{n}{2}\right)+k, \text{ k is a constant }$$
B
$$T(n) = T\left(\frac{n}{2}\right)+k, \text{ k is a constant }$$
C
$$T(n) = T\left(\frac{n}{2}\right)+\log n$$
D
$$T(n) = T\left(\frac{n}{2}\right)+n$$
2
GATE CSE 1992
Subjective
+2
-0
Assume that the last element of the set is used as partition element in Quicksort. If n distinct elements from the set [1…n] are to be sorted, give an input for which Quicksort takes maximum time.
3
GATE CSE 1987
Subjective
+2
-0
Find a solution to the following recurrence equation
T(n) = T(n - 1)+ n
T(1) = 1
4
GATE CSE 1987
MCQ (Single Correct Answer)
+2
-0.6
Let P be a quicksort program to sort numbers in ascending order. Let t1 and t2 be the time taken by the program for the inputs [1 2 3 4] and [5 4 3 2 1], respectively. Which of the following holds?
A
t1 = t2
B
t1 > t2
C
t1 < t2
D
t1= t2 + 5 log 5
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GATE CSE Subjects
Theory of Computation
Undecidability Finite Automata and Regular Language Push Down Automata and Context Free Language 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 Dynamic Programming P and NP Concepts
Digital Logic
K Maps Boolean Algebra Combinational Circuits Number Systems Sequential Circuits
Database Management System
Structured Query Language Transactions and Concurrency Functional Dependencies and Normalization Relational Algebra File Structures and Indexing Er Diagrams
Data Structures
Trees Hashing Arrays Linked List Graphs Stacks and Queues
Computer Networks
Network Security Data Link Layer and Switching Application Layer Protocol Network Layer Routing Algorithm Concepts of Layering Lan Technologies and Wi-Fi TCP UDP Sockets and Congestion Control
Software Engineering
Software Engineering
Compiler Design
Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization
Web Technologies
Web Technologies
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
Discrete Mathematics
Graph Theory Set Theory & Algebra Combinatorics Mathematical Logic Probability Linear Algebra Calculus
Programming Languages
Basic of Programming Language Function and Recursion Pointer and Structure in C
Computer Organization
Computer Arithmetic Memory Interfacing Machine Instructions and Addressing Modes IO Interface Pipelining Alu Data Path and Control Unit Secondary Memory
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