1
GATE CSE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
You have an array of n elements. Suppose you implement quicksort by always choosing the central element of the array as the pivot. Then the tightest upper bound for the worst case performance is
A
O(n2)
B
O(n log n)
C
$$\Theta (n \log n)$$
D
O(n3)
2
GATE CSE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following correctly determines the solution of the recurrence relation with T(1) = 1?
T(1) = 2T (n/2) + log n
A
$$\theta (n)$$
B
$$\theta (n \log n)$$
C
$$\theta (n^2)$$
D
$$\theta (\log n)$$
3
GATE CSE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Let P be a QuickSort Program to sort numbers in ascending order using the first element as pivot. Let t1 and t2 be the number of comparisons made by P for the inputs {1, 2, 3, 4, 5} and {4, 1, 5, 3, 2} respectively. Which one of the following holds?
A
t1 = 5
B
t1 < t2
C
t1 > t2
D
t1 = t2
4
GATE CSE 2009
MCQ (Single Correct Answer)
+1
-0.3
Which of the following statement(s) is / are correct regarding Bellman-Ford shortest path algorithm?
P: Always finds a negative weighted cycle, if one exist s.
Q: Finds whether any negative weighted cycle is reachable from the source.
A
P Only
B
Q Only
C
Both P and Q
D
Neither P nor Q
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