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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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Most answered questions in Algorithms

41 votes
7 answers
93
GATE CSE 2008 | Question: 47
We have a binary heap on $n$ elements and wish to insert $n$ more elements (not necessarily one after another) into this heap. The total time required for this is $\Theta(\log n)$ $\Theta(n)$ $\Theta(n\log n)$ $\Theta(n^2)$
We have a binary heap on $n$ elements and wish to insert $n$ more elements (not necessarily one after another) into this heap. The total time required for this is$\Theta(...
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79 votes
7 answers
94
GATE CSE 2008 | Question: 40
The minimum number of comparisons required to determine if an integer appears more than $\frac{n}{2}$ times in a sorted array of $n$ integers is $\Theta(n)$ $\Theta(\log n)$ $\Theta(\log^*n)$ $\Theta(1)$
The minimum number of comparisons required to determine if an integer appears more than $\frac{n}{2}$ times in a sorted array of $n$ integers is$\Theta(n)$$\Theta(\log n)...
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0 votes
6 answers
97
UGC NET CSE | January 2017 | Part 3 | Question: 36
Match the following with respect to algorithm paradigms : ... $\text{a-ii, b-i, c-iii, d-iv}$ $\text{a-iii, b-ii, c-i, d-iv}$
Match the following with respect to algorithm paradigms :$\begin{array}{clcl} & \textbf{List-I} & {} & \textbf{List-II} \\ \text{a.} & \text{Merge sort} & \text{i.} & \te...
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1 votes
6 answers
102
Related to time complexity
Which one is greater in asymptomatic notation? 1)n 2)(log n)100
Which one is greater in asymptomatic notation?1)n 2)(log n)100
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47 votes
6 answers
103
GATE CSE 2017 Set 2 | Question: 30
Consider the recurrence function $T(n) = \begin{cases} 2T(\sqrt{n})+1, & n>2 \\ 2, & 0 < n \leq 2 \end{cases}$ Then $T(n)$ in terms of $\Theta$ notation is $\Theta(\log \log n)$ $\Theta( \log n)$ $\Theta (\sqrt{n})$ $\Theta(n)$
Consider the recurrence function$$T(n) = \begin{cases} 2T(\sqrt{n})+1, & n>2 \\ 2, & 0 < n \leq 2 \end{cases}$$Then $T(n)$ in terms of $\Theta$ notation is$\Theta(\log \l...
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24 votes
6 answers
104
GATE CSE 2008 | Question: 79
Let $x_n$ denote the number of binary strings of length $n$ that contain no consecutive $0$s. The value of $x_5$ is $5$ $7$ $8$ $16$
Let $x_n$ denote the number of binary strings of length $n$ that contain no consecutive $0$s.The value of $x_5$ is $5$$7$$8$$16$
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50 votes
6 answers
107
TIFR CSE 2016 | Part B | Question: 7
Let $n = m!$. Which of the following is TRUE? $m = \Theta (\log n / \log \log n)$ $m = \Omega (\log n / \log \log n)$ but not $m = O(\log n / \log \log n)$ $m = \Theta (\log^2 n)$ $m = \Omega (\log^2 n)$ but not $m = Ο(\log^2 n)$ $m = \Theta (\log^{1.5} n)$
Let $n = m!$. Which of the following is TRUE?$m = \Theta (\log n / \log \log n)$$m = \Omega (\log n / \log \log n)$ but not $m = O(\log n / \log \log n)$$m = \Theta (\log...
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61 votes
6 answers
110
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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