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1
GATE CSE 1997
MCQ (Single Correct Answer)
+2
-0.6
Let T(n) be the function defined by $$T(1) =1, \: T(n) = 2T (\lfloor \frac{n}{2} \rfloor ) + \sqrt{n}$$
Which of the following statements is true?
A
$$T(n) = O \sqrt{n}$$
B
$$T(n)=O(n)$$
C
$$T(n) = O (\log n)$$
D
$$T(n) = O (\log n)$$
2
GATE CSE 1996
MCQ (Single Correct Answer)
+2
-0.6
Quicksort is run on two inputs shown below to sort in ascending order taking first element as pivot
i) 1, 2, 3,......., n
ii) n, n-1, n-2,......, 2, 1
Let C1 and C2 be the number of comparisons made for the inputs (i) and (ii) respectively. Then,
A
$$C_1 < C_2$$
B
$$C_1 > C_2$$
C
$$C_1 = C_2$$
D
we cannot say anything for arbitrary n
3
GATE CSE 1996
MCQ (Single Correct Answer)
+2
-0.6
The recurrence relation
T(1) = 2
T(n) = 3T(n/4) + n
has the solution, T(n) equals to
A
O(n)
B
O(log n)
C
O(n^3/4)
D
None of the above
4
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
$$T(n) = T\left(\frac{n}{2}\right)+n$$
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GATE CSE Subjects
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
Theory of Computation
Finite Automata and Regular Language Push Down Automata and Context Free Language Recursively Enumerable Language and Turing Machine Undecidability
Operating Systems
Process Concepts and Cpu Scheduling Synchronization and Concurrency File System IO and Protection Deadlocks Memory Management
Digital Logic
Number Systems Boolean Algebra K Maps Combinational Circuits Sequential Circuits
Computer Organization
Computer Arithmetic Memory Interfacing Pipelining Machine Instructions and Addressing Modes Alu Data Path and Control Unit IO Interface Secondary Memory
Database Management System
Structured Query Language Transactions and Concurrency Functional Dependencies and Normalization Relational Algebra File Structures and Indexing Er Diagrams
Data Structures
Arrays Stacks and Queues Linked List Trees Graphs Hashing
Computer Networks
Concepts of Layering Lan Technologies and Wi-Fi Data Link Layer and Switching Network Layer Routing Algorithm TCP UDP Sockets and Congestion Control Application Layer Protocol Network Security
Algorithms
Complexity Analysis and Asymptotic Notations Searching and Sorting Divide and Conquer Method Greedy Method P and NP Concepts Dynamic Programming
Compiler Design
Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization
Software Engineering
Software Engineering
Web Technologies
Web Technologies
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