Algorithms
Complexity Analysis and Asymptotic Notations
Marks 1Marks 2
Searching and Sorting
Marks 1Marks 2
Divide and Conquer Method
Marks 1Marks 2
Greedy Method
Marks 1Marks 2
P and NP Concepts
Marks 1Marks 2
Dynamic Programming
Marks 1Marks 2
1
GATE CSE 2013
MCQ (Single Correct Answer)
+1
-0.3
Which of the following is the tightest upper bound that represents the number of swaps required to sort n numbers using selection sort?
A
O(log n)
B
O(n)
C
O(n log n)
D
O(n2)
2
GATE CSE 2012
MCQ (Single Correct Answer)
+1
-0.3
The worst case running time to search for an element in a balanced binary search tree with n2n elements is
A
$$\Theta (n\,\log \,n)$$
B
$$\Theta (n{2^n})$$
C
$$\Theta (n)$$
D
$$\Theta (\log \,n)$$
3
GATE CSE 2012
MCQ (Single Correct Answer)
+1
-0.3
Let W(n) and A(n) denote respectively, the worst case and average case running time of an algorithm executed on an input of size n. Which of the following is ALWAYS TRUE?
A
$$A(n) = \Omega (W(n))$$
B
$$A(n) = \Theta (W(n))$$
C
$$A(n) = O (W(n))$$
D
$$A(n) = 0 (W(n))$$
4
GATE CSE 2010
MCQ (Single Correct Answer)
+1
-0.3
Two alternate packages A and B are available for processing a database having 10k records. Package A requires 0.0001n2 time units and package B requires $$10n.\log _{10}^n$$ time units to process n records. What is the smallest value of k for which package B will be preferred over A?
A
12
B
10
C
6
D
5
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization