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Searching, Sorting, Hashing, Asymptotic worst case time and Space complexity, Algorithm design techniques: Greedy, Dynamic programming, and Divide‐and‐conquer, Graph search, Minimum spanning trees, Shortest paths.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}&\textbf{2024-1} & \textbf{2024-2} & \textbf{2023} & \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 1&2&2& 2 &3&2&1&2&3
\\\hline\textbf{2 Marks Count} &4&2&2& 2 &3&4&2&2.83&4
\\\hline\textbf{Total Marks} &9&6&6& 6 &9&10&\bf{6} & \bf{7.67}&\bf{10}\\\hline
\end{array}}}$$

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Highest voted questions in Algorithms

67 votes
11 answers
22
GATE CSE 2015 Set 3 | Question: 42
Let $f(n) = n$ and $g(n) = n^{(1 + \sin \: n)}$, where $n$ is a positive integer. Which of the following statements is/are correct? $f(n) = O(g(n))$ $f(n) = \Omega(g(n))$ Only I Only II Both I and II Neither I nor II
Let $f(n) = n$ and $g(n) = n^{(1 + \sin \: n)}$, where $n$ is a positive integer. Which of the following statements is/are correct?$f(n) = O(g(n))$$f(n) = \Omega(g(n))$On...
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67 votes
7 answers
23
GATE IT 2008 | Question: 43
If we use Radix Sort to sort $n$ integers in the range $\left (n^{k/2}, n^k \right ]$, for some $k > 0$ which is independent of $n$, the time taken would be? $\Theta(n)$ $\Theta(kn)$ $\Theta(n \log n)$ $\Theta(n^2)$
If we use Radix Sort to sort $n$ integers in the range $\left (n^{k/2}, n^k \right ]$, for some $k 0$ which is independent of $n$, the time taken would be?$\Theta(n)$$\T...
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65 votes
12 answers
29
GATE IT 2005 | Question: 14
In a depth-first traversal of a graph $G$ with $n$ vertices, $k$ edges are marked as tree edges. The number of connected components in $G$ is $k$ $k+1$ $n-k-1$ $n-k$
In a depth-first traversal of a graph $G$ with $n$ vertices, $k$ edges are marked as tree edges. The number of connected components in $G$ is$k$$k+1$$n-k-1$$n-k$
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64 votes
15 answers
30
GATE CSE 2007 | Question: 15, ISRO2016-26
Consider the following segment of C-code: int j, n; j = 1; while (j <= n) j = j * 2; The number of comparisons made in the execution of the loop for any $n > 0$ is: $\lceil \log_2n \rceil +1$ $n$ $\lceil \log_2n \rceil$ $\lfloor \log_2n \rfloor +1$
Consider the following segment of C-code:int j, n; j = 1; while (j <= n) j = j * 2;The number of comparisons made in the execution of the loop for any $n 0$ is:$\lceil \...
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64 votes
8 answers
32
GATE CSE 2007 | Question: 44
In the following C function, let $n \geq m$. int gcd(n,m) { if (n%m == 0) return m; n = n%m; return gcd(m,n); } How many recursive calls are made by this function? $\Theta(\log_2n)$ $\Omega(n)$ $\Theta(\log_2\log_2n)$ $\Theta(\sqrt{n})$
In the following C function, let $n \geq m$.int gcd(n,m) { if (n%m == 0) return m; n = n%m; return gcd(m,n); }How many recursive calls are made by this function?$\Theta(\...
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63 votes
12 answers
35
GATE CSE 2015 Set 2 | Question: 11
Consider the following C function. int fun(int n) { int x=1, k; if (n==1) return x; for (k=1; k<n; ++k) x = x + fun(k) * fun (n-k); return x; } The return value of $fun(5)$ is ______.
Consider the following C function.int fun(int n) { int x=1, k; if (n==1) return x; for (k=1; k<n; ++k) x = x + fun(k) * fun (n-k); return x; }The return value of $fun(5)$...
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63 votes
11 answers
38
GATE CSE 2008 | Question: 45
Dijkstra's single source shortest path algorithm when run from vertex $a$ in the above graph, computes the correct shortest path distance to only vertex $a$ only vertices $a, e, f, g, h$ only vertices $a, b, c, d$ all the vertices
Dijkstra's single source shortest path algorithm when run from vertex $a$ in the above graph, computes the correct shortest path distance toonly vertex $a$only vertices $...
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62 votes
6 answers
40
GATE CSE 2015 Set 2 | Question: 22
An unordered list contains $n$ distinct elements. The number of comparisons to find an element in this list that is neither maximum nor minimum is $\Theta(n \log n)$ $\Theta(n)$ $\Theta(\log n)$ $\Theta(1)$
An unordered list contains $n$ distinct elements. The number of comparisons to find an element in this list that is neither maximum nor minimum is$\Theta(n \log n)$$\Thet...
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