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35 votes
6 answers
2
GATE CSE 1995 | Question: 1.16
For merging two sorted lists of sizes $m$ and $n$ into a sorted list of size $m+n$, we require comparisons of $O(m)$ $O(n)$ $O(m+n)$ $O(\log m + \log n)$
For merging two sorted lists of sizes $m$ and $n$ into a sorted list of size $m+n$, we require comparisons of$O(m)$$O(n)$$O(m+n)$$O(\log m + \log n)$
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19 votes
8 answers
3
Minimum number of comparisons required to sort 5 elements is
The minimum number of comparisons required to sort 5 elements is - 4 5 6 7
The minimum number of comparisons required to sort 5 elements is -4567
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44 votes
4 answers
4
GATE CSE 2006 | Question: 52
The median of $n$ elements can be found in $O(n)$ time. Which one of the following is correct about the complexity of quick sort, in which median is selected as pivot? $\Theta (n)$ $\Theta (n \log n)$ $\Theta (n^{2})$ $\Theta (n^{3})$
The median of $n$ elements can be found in $O(n)$ time. Which one of the following is correct about the complexity of quick sort, in which median is selected as pivot?$\T...
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113 votes
9 answers
5
GATE CSE 2013 | Question: 30
The number of elements that can be sorted in $\Theta(\log n)$ time using heap sort is $\Theta(1)$ $\Theta(\sqrt{\log} n)$ $\Theta(\frac{\log n}{\log \log n})$ $\Theta(\log n)$
The number of elements that can be sorted in $\Theta(\log n)$ time using heap sort is$\Theta(1)$$\Theta(\sqrt{\log} n)$$\Theta(\frac{\log n}{\log \log n})$$\Theta(\log n)...
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77 votes
5 answers
6
GATE CSE 2004 | Question: 29
The tightest lower bound on the number of comparisons, in the worst case, for comparison-based sorting is of the order of $n$ $n^2$ $n \log n$ $n \log^2n$
The tightest lower bound on the number of comparisons, in the worst case, for comparison-based sorting is of the order of$n$$n^2$$n \log n$$n \log^2n$
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72 votes
14 answers
7
GATE CSE 2012 | Question: 39
A list of $n$ strings, each of length $n$, is sorted into lexicographic order using the merge-sort algorithm. The worst case running time of this computation is $O (n \log n) $ $ O(n^{2} \log n) $ $ O(n^{2} + \log n) $ $ O(n^{2}) $
A list of $n$ strings, each of length $n$, is sorted into lexicographic order using the merge-sort algorithm. The worst case running time of this computation is$O (n \log...
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61 votes
10 answers
8
GATE CSE 2014 Set 3 | Question: 14
You have an array of $n$ elements. Suppose you implement quicksort by always choosing the central element of the array as the pivot. Then the tightest upper bound for the worst case performance is $O(n^2)$ $O(n \log n)$ $\Theta(n\log n)$ $O(n^3)$
You have an array of $n$ elements. Suppose you implement quicksort by always choosing the central element of the array as the pivot. Then the tightest upper bound for the...
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66 votes
7 answers
11
GATE IT 2008 | Question: 43
If we use Radix Sort to sort $n$ integers in the range $\left (n^{k/2}, n^k \right ]$, for some $k > 0$ which is independent of $n$, the time taken would be? $\Theta(n)$ $\Theta(kn)$ $\Theta(n \log n)$ $\Theta(n^2)$
If we use Radix Sort to sort $n$ integers in the range $\left (n^{k/2}, n^k \right ]$, for some $k 0$ which is independent of $n$, the time taken would be?$\Theta(n)$$\T...
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2 votes
4 answers
12
NIELIT 2016 DEC Scientist B (CS) - Section B: 12
The running time of Quick sort algorithm depends heavily on the selection of: No. of inputs Arrangement of elements in an array Size of elements Pivot Element
The running time of Quick sort algorithm depends heavily on the selection of:No. of inputsArrangement of elements in an arraySize of elementsPivot Element
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39 votes
4 answers
15
GATE CSE 2006 | Question: 14, ISRO2011-14
Which one of the following in place sorting algorithms needs the minimum number of swaps? Quick sort Insertion sort Selection sort Heap sort
Which one of the following in place sorting algorithms needs the minimum number of swaps?Quick sortInsertion sortSelection sortHeap sort
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30 votes
2 answers
17
GATE CSE 2009 | Question: 11
What is the number of swaps required to sort $n$ elements using selection sort, in the worst case? $\Theta(n)$ $\Theta(n \log n)$ $\Theta(n^2)$ $\Theta(n^2 \log n)$
What is the number of swaps required to sort $n$ elements using selection sort, in the worst case?$\Theta(n)$$\Theta(n \log n)$$\Theta(n^2)$$\Theta(n^2 \log n)$
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59 votes
5 answers
18
GATE CSE 2015 Set 3 | Question: 27
Assume that a mergesort algorithm in the worst case takes $30$ seconds for an input of size $64$. Which of the following most closely approximates the maximum input size of a problem that can be solved in $6$ minutes? $256$ $512$ $1024$ $2018$
Assume that a mergesort algorithm in the worst case takes $30$ seconds for an input of size $64$. Which of the following most closely approximates the maximum input size ...
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