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 2000
MCQ (Single Correct Answer)
+1
-0.3
Let s be a sorted array of n integers. Let t(n) denote the time taken for the most efficient algorithm to determined if there are two elements with sum less than 1000 in s. which of the following statements is true?
A
t (n) is O(1)
B
n < t (n) < $$n\log _2^n$$
C
$$n\log _2^n$$ < t (n) < $$\left( {\matrix{ n \cr 2 \cr } } \right)$$
D
t(n) = $$\left( {\matrix{ n \cr 2 \cr } } \right)$$
2
GATE CSE 1999
MCQ (Single Correct Answer)
+1
-0.3
If one uses straight two-way merge sort algorithm to sort the following elements in ascending order 20, 47, 15, 8, 9, 4, 40, 30, 12, 17 then the order of these elements after the second pass of the algorithm is:
A
8, 9, 15, 20, 47, 4, 12, 17, 30, 40
B
8, 15, 20, 47, 4, 9, 30, 40, 12, 17
C
15, 20, 47, 4, 8, 9, 12, 30, 40, 17
D
4, 8, 9, 15, 20, 47, 12, 17, 30, 40
3
GATE CSE 1999
MCQ (Single Correct Answer)
+1
-0.3
A sorting technique is called stable if:
A
It takes O(nlog n)time
B
It maintains the relative order of occurrence of non-distinct elements
C
It uses divide and conquer paradigm
D
It takes O(n) space
4
GATE CSE 1995
MCQ (Single Correct Answer)
+1
-0.3
Which of the following statements is true?
I. As the number of entries in a hash table increases, the number of collisions increases.
II. Recursive programs are efficient
III. The worst case complexity for Quicksort is O(n2)
IV. Binary search using a linear linked list is efficient.
A
I and II
B
II and III
C
I and IV
D
I and III
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