1
GATE CSE 2012
MCQ (Single Correct Answer)
+2
-0.6
A list of n strings, each of length n, is sorted into lexicographic order using the merge-sort algorithm. The worst case running time of this computation is
A
O(n log n)
B
O(n2 log n)
C
O(n2 + log n)
D
O(n2)
2
GATE CSE 2012
MCQ (Single Correct Answer)
+2
-0.6
Consider the directed graph shown in the figure below. There are multiple shortest paths between vertices S and T. Which one will be reported by Dijkstra’s shortest path algorithm? Assume that, in any iteration, the shortest path to a vertex v is updated only when a strictly shorter path to v is discovered. GATE CSE 2012 Algorithms - Greedy Method Question 18 English
A
SDT
B
SBDT
C
SACDT
D
SACET
3
GATE CSE 2012
MCQ (Single Correct Answer)
+1
-0.3
Given the language L= { ab, aa, baa }, which of the following strings are in L* ?

1) abaabaaabaa
2) aaaabaaaa
3) baaaaabaaaab
4) baaaaabaa

A
1,2 and 3
B
2,3 and 4
C
1,2 and 4
D
1,3 and 4
4
GATE CSE 2012
MCQ (Single Correct Answer)
+2
-0.6
An Internet Service Provider (ISP) has the following chunk of CIDR-based IP addresses available with it: 245.248.128.0/20.
The ISP wants to give half of this chunk of addresses to Organization A, and a quarter to Organization B, while retaining the remaining with itself. Which of the following is a valid allocation of address to A and B?
A
245.248.136.0/21 and 245.248.128.0/22
B
245.248.128.0/21 and 245.248.128.0/22
C
245.248.132.0/22 and 245.248.132.0/21
D
245.248.136.0/24 and 245.248.132.0/21
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