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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
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1
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Suppose T(n) = 2T (n/2) + n, T(0) = T(1) = 1
Which one of the following is FALSE?
A
T(n) = O(n2)
B
$$T\left( n \right){\rm{ }} = {\rm{ }}\theta \left( {n{\rm{ }}\,log\,{\rm{ }}n} \right)$$
C
$$T\left( n \right){\rm{ }} = {\rm{ }}\Omega ({n^2})$$
D
T(n) = O(n log n)
2
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
$$T(n) = O (\log n)$$
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 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
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Questions Asked from Marks 2
GATE CSE 2019 (1) GATE CSE 2018 (1) GATE CSE 2014 Set 1 (2) GATE CSE 2013 (2) GATE CSE 2012 (1) GATE CSE 2009 (2) GATE CSE 2008 (1) GATE CSE 2007 (1) GATE CSE 2006 (2) GATE CSE 2005 (1) GATE CSE 1997 (1) GATE CSE 1996 (2) GATE CSE 1994 (1) GATE CSE 1992 (1) GATE CSE 1987 (2)
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