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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.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 2 &3&2&3&2&0&2&2&3&3&0&2.2&3
\\\hline\textbf{2 Marks Count} & 2 &3&4&4&2&4&2&3&2&3&2&2.9&4
\\\hline\textbf{Total Marks} & 6 &9&10&11&6&8&6&8&7&9&\bf{6}&\bf{8}&\bf{11}\\\hline
\end{array}}}$$

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Hot questions in Algorithms

37 votes
10 answers
61
GATE CSE 1992 | Question: 01,ix
Complexity of Kruskal’s algorithm for finding the minimum spanning tree of an undirected graph containing $n$ vertices and $m$ edges if the edges are sorted is _______
Complexity of Kruskal’s algorithm for finding the minimum spanning tree of an undirected graph containing $n$ vertices and $m$ edges if the edges are sorted is _______
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58 votes
7 answers
62
GATE CSE 2006 | Question: 51, ISRO2016-34
Consider the following recurrence: $ T(n)=2T\left ( \sqrt{n}\right )+1,$ $T(1)=1$ Which one of the following is true? $ T(n)=\Theta (\log\log n)$ $ T(n)=\Theta (\log n)$ $ T(n)=\Theta (\sqrt{n})$ $ T(n)=\Theta (n)$
Consider the following recurrence:$ T(n)=2T\left ( \sqrt{n}\right )+1,$ $T(1)=1$Which one of the following is true?$ T(n)=\Theta (\log\log n)$$ T(n)=\Theta (\log n)$$ T(n...
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53 votes
5 answers
63
GATE CSE 2005 | Question: 81a
double foo(int n) { int i; double sum; if(n == 0) { return 1.0; } else { sum = 0.0; for(i = 0; i < n; i++) { sum += foo(i); } return sum; } } The space complexity of the above code is? $O(1)$ $O(n)$ $O(n!)$ $n^n$
double foo(int n) { int i; double sum; if(n == 0) { return 1.0; } else { sum = 0.0; for(i = 0; i < n; i++) { sum += foo(i); } return sum; } }The space complexity of the a...
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10 votes
4 answers
66
GATE CSE 2023 | Question: 19
Let $f$ and $g$ be functions of natural numbers given by $f(n)=n$ and $g(n)=n^{2}.$ Which of the following statements is/are $\text{TRUE}?$ $f \in O(g)$ $f \in \Omega(g)$ $f \in o(g)$ $f \in \Theta(g)$
Let $f$ and $g$ be functions of natural numbers given by $f(n)=n$ and $g(n)=n^{2}.$ Which of the following statements is/are $\text{TRUE}?$$f \in O(g)$$f \in \Omega(g)$$f...
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14 votes
4 answers
76
GATE CSE 2021 Set 2 | Question: 8
What is the worst-case number of arithmetic operations performed by recursive binary search on a sorted array of size $n$? $\Theta ( \sqrt{n})$ $\Theta (\log _2(n))$ $\Theta(n^2)$ $\Theta(n)$
What is the worst-case number of arithmetic operations performed by recursive binary search on a sorted array of size $n$?$\Theta ( \sqrt{n})$$\Theta (\log _2(n))$$\Theta...
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14 votes
3 answers
80
Hash table
A Hash table has space for 100 records. Then the probability of collision before the table is 10% full is? A 0.45 B 0.5 C 0.3 D 0.34 (approximately)
A Hash table has space for 100 records. Then the probability of collision before the table is 10% full is?A 0.45B 0.5C 0.3D 0.34 (approximately)
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