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Arrays, Stacks, Queues, Linked lists, Trees, Binary search trees, Binary heaps, Graphs.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}&\textbf{2024-1} &\textbf{2024-2} &\textbf{2023} & \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 0&0&2 &2 &4&2&0&1.67&4
\\\hline\textbf{2 Marks Count} &1&2&3& 1 &1&0&0&1.33&3
\\\hline\textbf{Total Marks} &2&4&8& 4&6&2&\bf{2}&\bf{4.33}&\bf{8}\\\hline
\end{array}}}$$

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Hot questions in DS

168 votes
17 answers
2
GATE CSE 2016 Set 2 | Question: 40
The number of ways in which the numbers $1, 2, 3, 4, 5, 6, 7$ can be inserted in an empty binary search tree, such that the resulting tree has height $6$, is _________. Note: The height of a tree with a single node is $0$.
The number of ways in which the numbers $1, 2, 3, 4, 5, 6, 7$ can be inserted in an empty binary search tree, such that the resulting tree has height $6$, is _________.No...
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40 votes
5 answers
4
GATE CSE 2009 | Question: 37,ISRO-DEC2017-55
What is the maximum height of any AVL-tree with $7$ nodes? Assume that the height of a tree with a single node is $0$. $2$ $3$ $4$ $5$
What is the maximum height of any AVL-tree with $7$ nodes? Assume that the height of a tree with a single node is $0$.$2$$3$$4$$5$
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67 votes
14 answers
6
GATE CSE 2018 | Question: 46
The number of possible min-heaps containing each value from $\{1,2,3,4,5,6,7\}$ exactly once is _______
The number of possible min-heaps containing each value from $\{1,2,3,4,5,6,7\}$ exactly once is _______
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49 votes
7 answers
8
GATE CSE 1995 | Question: 2.21
The postfix expression for the infix expression $A+B*(C+D)/F+D*E$ is: $AB + CD + *F/D +E*$ $ABCD + *F/DE* ++$ $A * B + CD/F *DE ++$ $A + *BCD/F* DE ++$
The postfix expression for the infix expression $A+B*(C+D)/F+D*E$ is:$AB + CD + *F/D +E*$$ABCD + *F/DE* ++$$A * B + CD/F *DE ++$$A + *BCD/F* DE ++$
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79 votes
10 answers
9
GATE CSE 2003 | Question: 23
In a min-heap with $n$ elements with the smallest element at the root, the $7^{th}$ smallest element can be found in time $\Theta (n \log n)$ $\Theta (n)$ $\Theta(\log n)$ $\Theta(1)$
In a min-heap with $n$ elements with the smallest element at the root, the $7^{th}$ smallest element can be found in time$\Theta (n \log n)$$\Theta (n)$$\Theta(\log n)$$\...
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48 votes
9 answers
12
GATE CSE 2011 | Question: 29
We are given a set of $n$ distinct elements and an unlabeled binary tree with $n$ nodes. In how many ways can we populate the tree with the given set so that it becomes a binary search tree? $0$ $1$ $n!$ $\frac{1} {n+1} .^{2n}C_n$
We are given a set of $n$ distinct elements and an unlabeled binary tree with $n$ nodes. In how many ways can we populate the tree with the given set so that it becomes a...
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35 votes
5 answers
15
GATE CSE 2002 | Question: 2.9
The number of leaf nodes in a rooted tree of n nodes, with each node having $0$ or $3$ children is: $\frac{n}{2}$ $\frac{(n-1)}{3}$ $\frac{(n-1)}{2}$ $\frac{(2n+1)}{3}$
The number of leaf nodes in a rooted tree of n nodes, with each node having $0$ or $3$ children is:$\frac{n}{2}$$\frac{(n-1)}{3}$$\frac{(n-1)}{2}$$\frac{(2n+1)}{3}$
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27 votes
5 answers
17
GATE CSE 1996 | Question: 2.14
A binary search tree is generated by inserting in order the following integers: $50, 15, 62, 5, 20, 58, 91, 3, 8, 37, 60, 24$ The number of nodes in the left subtree and right subtree of the root respectively is $(4, 7)$ $(7, 4)$ $(8, 3)$ $(3, 8)$
A binary search tree is generated by inserting in order the following integers:$$50, 15, 62, 5, 20, 58, 91, 3, 8, 37, 60, 24$$The number of nodes in the left subtree and ...
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43 votes
6 answers
20
GATE CSE 1995 | Question: 1.17
A binary tree $T$ has $n$ leaf nodes. The number of nodes of degree $2$ in $T$ is $\log_2 n$ $n-1$ $n$ $2^n$
A binary tree $T$ has $n$ leaf nodes. The number of nodes of degree $2$ in $T$ is$\log_2 n$$n-1$$n$$2^n$
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