Register

Webpage

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

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 2 &4&2&3&0&2&3&1&1&1&0&1.9&4
\\\hline\textbf{2 Marks Count} & 1 &1&0&2&2&0&0&1&3&3&0&1.3&3
\\\hline\textbf{Total Marks} & 4&6&2&7&4&2&3&3&7&7&\bf{2}&\bf{4.5}&\bf{7}\\\hline
\end{array}}}$$

Filter

Most answered questions in DS

168 votes
17 answers
1
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...
User Avatar
67 votes
14 answers
2
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 _______
User Avatar
42 votes
12 answers
5
GATE CSE 2015 Set 3 | Question: 25
Consider a binary tree T that has $200$ leaf nodes. Then the number of nodes in T that have exactly two children are ______.
Consider a binary tree T that has $200$ leaf nodes. Then the number of nodes in T that have exactly two children are ______.
User Avatar
35 votes
12 answers
6
GATE CSE 2015 Set 2 | Question: 10
A binary tree T has $20$ leaves. The number of nodes in T having two children is ______.
A binary tree T has $20$ leaves. The number of nodes in T having two children is ______.
User Avatar
57 votes
12 answers
7
GATE CSE 2010 | Question: 10
In a binary tree with $n$ nodes, every node has an odd number of descendants. Every node is considered to be its own descendant. What is the number of nodes in the tree that have exactly one child? $0$ $1$ $\frac{(n-1)}{2}$ $n-1$
In a binary tree with $n$ nodes, every node has an odd number of descendants. Every node is considered to be its own descendant. What is the number of nodes in the tree ...
User Avatar
57 votes
11 answers
11
GATE IT 2006 | Question: 9
In a binary tree, the number of internal nodes of degree $1$ is $5$, and the number of internal nodes of degree $2$ is $10$. The number of leaf nodes in the binary tree is $10$ $11$ $12$ $15$
In a binary tree, the number of internal nodes of degree $1$ is $5$, and the number of internal nodes of degree $2$ is $10$. The number of leaf nodes in the binary tree i...
User Avatar
62 votes
11 answers
13
GATE IT 2007 | Question: 28
Consider a hash function that distributes keys uniformly. The hash table size is $20$. After hashing of how many keys will the probability that any new key hashed collides with an existing one exceed $0.5$. $5$ $6$ $7$ $10$
Consider a hash function that distributes keys uniformly. The hash table size is $20$. After hashing of how many keys will the probability that any new key hashed collide...
User Avatar
90 votes
11 answers
15
GATE CSE 2014 Set 1 | Question: 12
Consider a rooted n node binary tree represented using pointers. The best upper bound on the time required to determine the number of subtrees having exactly $4$ nodes is $O(n^a\log^bn)$. Then the value of $a+10b$ is __________.
Consider a rooted n node binary tree represented using pointers. The best upper bound on the time required to determine the number of subtrees having exactly $4$ nodes is...
User Avatar
29 votes
11 answers
16
GATE CSE 1998 | Question: 2.11
A complete $n$-ary tree is one in which every node has $0$ or $n$ sons. If $x$ is the number of internal nodes of a complete $n$-ary tree, the number of leaves in it is given by $x(n-1) +1$ $xn-1$ $xn +1$ $x(n+1)$
A complete $n$-ary tree is one in which every node has $0$ or $n$ sons. If $x$ is the number of internal nodes of a complete $n$-ary tree, the number of leaves in it is g...
User Avatar
33 votes
10 answers
18
GATE CSE 2017 Set 1 | Question: 6
Let $T$ be a binary search tree with $15$ nodes. The minimum and maximum possible heights of $T$ are: Note: The height of a tree with a single node is $0$. $4$ and $15$ respectively. $3$ and $14$ respectively. $4$ and $14$ respectively. $3$ and $15$ respectively.
Let $T$ be a binary search tree with $15$ nodes. The minimum and maximum possible heights of $T$ are:Note: The height of a tree with a single node is $0$.$4$ and $15$ res...
User Avatar
73 votes
10 answers
19
GATE CSE 2010 | Question: 53
A hash table of length $10$ uses open addressing with hash function $h(k) = k \: \mod \: 10$, and linear probing. After inserting $6$ ... of the key values using the same hash function and linear probing will result in the hash table shown above? $10$ $20$ $30$ $40$
A hash table of length $10$ uses open addressing with hash function $h(k) = k \: \mod \: 10$, and linear probing. After inserting $6$ values into an empty hash table, the...
User Avatar
Page: