Most answered questions in Programming & DS

+76 votes

13 answers

1

GATE2016-2-40
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 $0$.

asked Feb 12, 2016 in DS by Akash Kanase Boss (43.5k points) | 10.5k views

+23 votes

10 answers

2

GATE2017-1-35
Consider the following two functions. void fun1(int n) { if(n == 0) return; printf("%d", n); fun2(n - 2); printf("%d", n); } void fun2(int n) { if(n == 0) return; printf("%d", n); fun1(++n); printf("%d", n); } The output printed when $\text{fun1}(5)$ is called is $53423122233445$ $53423120112233$ $53423122132435$ $53423120213243$

asked Feb 14, 2017 in Programming by Arjun Veteran (384k points) | 4.5k views

+23 votes

10 answers

3

GATE2016-1-35
What will be the output of the following $C$ program? void count (int n) { static int d=1; printf ("%d",n); printf ("%d",d); d++; if (n>1) count (n-1); printf ("%d",d); } void main(){ count (3); } $3 \ 1 \ 2 \ 2 \ 1 \ 3 \ 4 \ 4 \ 4$ $3 \ 1 \ 2 \ 1 \ 1 \ 1 \ 2 \ 2 \ 2$ $3 \ 1 \ 2 \ 2 \ 1 \ 3 \ 4$ $3 \ 1 \ 2 \ 1 \ 1 \ 1 \ 2$

asked Feb 12, 2016 in Programming by Sandeep Singh Loyal (7.9k points) | 4.3k views

+25 votes

10 answers

4

GATE2007-IT-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 $0.5$. $5$ $6$ $7$ $10$

asked Oct 30, 2014 in DS by Ishrat Jahan Boss (19.1k points) | 4.8k views

+38 votes

10 answers

5

GATE1994-1.11
In a compact single dimensional array representation for lower triangular matrices (i.e all the elements above the diagonal are zero) of size $n \times n$ ... new representation is: $i+j$ $i+j-1$ $(j-1)+\frac{i(i-1)}{2}$ $i+\frac{j(j-1)}{2}$

asked Oct 4, 2014 in DS by Kathleen Veteran (59.9k points) | 5.3k views

+18 votes

9 answers

6

GATE2017-1-6
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.

asked Feb 14, 2017 in DS by Arjun Veteran (384k points) | 3.5k views

+14 votes

9 answers

7

GATE2017-2-14
Consider the following function implemented in C: void printxy(int x, int y) { int *ptr; x=0; ptr=&x; y=*ptr; *ptr=1; printf(“%d, %d”, x, y); } The output of invoking $printxy(1,1)$ is: $0, 0$ $0, 1$ $1, 0$ $1, 1$

asked Feb 14, 2017 in Programming by Madhav Active (2k points) | 2.3k views

+62 votes

9 answers

8

GATE2016-1-41
Let $Q$ denote a queue containing sixteen numbers and $S$ be an empty stack. $Head(Q)$ returns the element at the head of the queue $Q$ without removing it from $Q$. Similarly $Top(S)$ returns the element at the top of $S$ without removing it from $S$. ... else x:= Pop(S); Enqueue (Q, x); end end The maximum possible number of iterations of the while loop in the algorithm is _______.

asked Feb 12, 2016 in DS by Sandeep Singh Loyal (7.9k points) | 7.9k views

+26 votes

9 answers

9

GATE2010-10
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? $0$ $1$ $\frac{(n-1)}{2}$ $n-1$

asked Sep 29, 2014 in DS by jothee Veteran (115k points) | 3k views

+28 votes

8 answers

10

GATE2017-2-55
Consider the following C program. #include<stdio.h> #include<string.h> int main() { char* c=”GATECSIT2017”; char* p=c; printf(“%d”, (int)strlen(c+2[p]-6[p]-1)); return 0; } The output of the program is _______

asked Feb 14, 2017 in Programming by Madhav Active (2k points) | 7.5k views

+7 votes

8 answers

11

ISRO2011-19
If node A has three siblings and B is parent of A, what is the degree of A? 0 3 4 5

asked Jun 15, 2016 in DS by shibu (53 points) | 3.1k views

+37 votes

8 answers

12

GATE2010-53
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 table is shown as below $0$ $1$ $2$ $42$ $3$ $23$ $4$ $34$ $5$ ... insertion sequences of the key values using the same hash function and linear probing will result in the hash table shown above? $10$ $20$ $30$ $40$

asked Apr 21, 2016 in DS by jothee Veteran (115k points) | 5.5k views

+20 votes

8 answers

13

GATE1998-19b
Compute the post fix equivalent of the following expression $3^*\log(x+1)-\frac{a}{2}$

asked Aug 29, 2015 in DS by Arjun Veteran (384k points) | 2.8k views

+25 votes

8 answers

14

GATE2015-3-25
Consider a binary tree T that has $200$ leaf nodes. Then the number of nodes in T that have exactly two children are ______.

asked Feb 14, 2015 in DS by jothee Veteran (115k points) | 3.7k views

+17 votes

8 answers

15

GATE2015-2-10
A binary tree T has $20$ leaves. The number of nodes in T having two children is ______.

asked Feb 12, 2015 in DS by jothee Veteran (115k points) | 3.8k views

+31 votes

8 answers

16

GATE2004-IT-13
Let $P$ be a singly linked list. Let $Q$ be the pointer to an intermediate node $x$ in the list. What is the worst-case time complexity of the best-known algorithm to delete the node $x$ from the list ? $O(n)$ $O(\log^2 n)$ $O(\log n)$ $O(1)$

asked Nov 2, 2014 in DS by Ishrat Jahan Boss (19.1k points) | 4k views

+28 votes

8 answers

17

GATE2011-29
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? $0$ $1$ $n!$ $\frac{1} {n+1} .^{2n}C_n$

asked Sep 29, 2014 in DS by jothee Veteran (115k points) | 5.7k views

+25 votes

8 answers

18

GATE2014-3-42
Consider the C function given below. Assume that the array $listA$ contains $n (>0)$ elements, sorted in ascending order. int ProcessArray(int *listA, int x, int n) { int i, j, k; i = 0; j = n-1; do { k = (i+j)/2; if (x <= listA[ ... is an implementation of binary search. It will always find the maximum element in $listA$. It will return −$1$ even when $x$ is present in $listA$.

asked Sep 28, 2014 in DS by jothee Veteran (115k points) | 3.2k views

+58 votes

8 answers

19

GATE2014-3-39
Suppose we have a balanced binary search tree $T$ holding $n$ numbers. We are given two numbers $L$ and $H$ and wish to sum up all the numbers in $T$ that lie between $L$ and $H$. Suppose there are $m$ such numbers in $T$. If the tightest upper bound on the time to compute the sum is $O(n^a\log^bn+m^c\log^dn)$, the value of $a+10b+100c+1000d$ is ______.

asked Sep 28, 2014 in DS by jothee Veteran (115k points) | 8.1k views

+41 votes

8 answers

20

GATE2014-1-12
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 __________.

asked Sep 26, 2014 in DS by jothee Veteran (115k points) | 5.1k views

+47 votes

7 answers

21

GATE2017-1-08
Consider the C code fragment given below. typedef struct node { int data; node* next; } node; void join(node* m, node* n) { node* p = n; while(p->next != NULL) { p = p->next; } p->next = m; } Assuming that m and n point to valid NULL- ... or append list m to the end of list n. cause a null pointer dereference for all inputs. append list n to the end of list m for all inputs.

asked Feb 14, 2017 in DS by khushtak Loyal (7.9k points) | 7.2k views

+21 votes

7 answers

22

GATE2017-1-20
Let $T$ be a tree with $10$ vertices. The sum of the degrees of all the vertices in $T$ is ________

asked Feb 14, 2017 in DS by Arjun Veteran (384k points) | 3.8k views

+14 votes

7 answers

23

GATE2017-2-54
Consider the following C program. #include<stdio.h> int main () { int m=10; int n, n1; n=++m; n1=m++; n--; --n1; n-=n1; printf(“%d”, n); return 0; } The output of the program is ______

asked Feb 14, 2017 in Programming by Madhav Active (2k points) | 2.5k views

+17 votes

7 answers

24

GATE2017-2-13
A circular queue has been implemented using a singly linked list where each node consists of a value and a single pointer pointing to the next node. We maintain exactly two external pointers FRONT and REAR pointing to the front node and the rear node of the queue, respectively. Which of ... node points to the front node. (I) only. (II) only. Both (I) and (II). Neither (I) nor (II).

asked Feb 14, 2017 in DS by Madhav Active (2k points) | 7.1k views

+7 votes

7 answers

25

ISRO2014-3
What is the output of the following C program? #include<stdio.h> #define SQR(x) (x*x) int main() { int a; int b=4; a=SQR(b+2); printf("%d\n",a); return 0; } 14 36 18 20

asked Jun 22, 2016 in Programming by pooja14 (89 points) | 2.6k views

+25 votes

7 answers

26

GATE2016-2-35
The following function computes $X^{Y}$ for positive integers $X$ and $Y$. int exp (int X, int Y) { int res =1, a = X, b = Y; while (b != 0) { if (b % 2 == 0) {a = a * a; b = b/2; } else {res = res * a; b = b - 1; } } return res; } Which one of the following conditions is TRUE ... loop? $X^{Y} = a^{b}$ $(res * a)^{Y} = (res * X)^{b}$ $X^{Y} = res * a^{b}$ $X^{Y} = (res * a)^{b}$

asked Feb 12, 2016 in Programming by Akash Kanase Boss (43.5k points) | 2.8k views

+40 votes

7 answers

27

GATE2006-IT-49
Which one of the choices given below would be printed when the following program is executed ? #include <stdio.h> struct test { int i; char *c; }st[] = {5, "become", 4, "better", 6, "jungle", 8, "ancestor", 7, "brother"}; ... $\text{etter, u, 6, ungle}$ $\text{cetter, k, 6, jungle}$ $\text{etter, u, 8, ncestor}$

asked Nov 1, 2014 in Programming by Ishrat Jahan Boss (19.1k points) | 5.4k views

+30 votes

7 answers

28

GATE2006-IT-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 $10$ $11$ $12$ $15$

asked Oct 31, 2014 in DS by Ishrat Jahan Boss (19.1k points) | 4.2k views

+28 votes

7 answers

29

GATE2014-2-41
Suppose a stack implementation supports an instruction $REVERSE$, which reverses the order of elements on the stack, in addition to the $PUSH$ and $POP$ instructions. Which one of the following statements is TRUE (with respect to this modified stack)? A ... $ENQUEUE$ and $DEQUEUE$ take a single instruction each.

asked Sep 28, 2014 in DS by jothee Veteran (115k points) | 5.3k views

+19 votes

7 answers

30

GATE1998-2.11
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 $x(n-1) +1$ $xn-1$ $xn +1$ $x(n+1)$

asked Sep 26, 2014 in DS by Kathleen Veteran (59.9k points) | 2.3k views

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