A function f defined on stacks of integers satisfies the following properties. f(∅) = 0 and f (push (S, i)) = max (f(S), 0) + i for all stacks S and integers i. If a stack S contains the intege

1.6

2.4

3.5

4.3

A priority queue Q is used to implement a stack S that stores characters. PUSH(C) is implemented as INSERT(Q, C, K) where K is an appropriate integer key chosen by the implementation. POP is implement

1.Non-increasing order

2.Non-decreasing order

3.strictly increasing order

4.strictly decreasing order

A single array A[1..MAXSIZE] is used to implement two stacks. The two stacks grow from opposite ends of the array. Variables top1 and top2 (topl< top 2) point to the location of the topmost element in

1.(top1 = MAXSIZE/2) and (top2 = MAXSIZE/2+1)

2.top1= top2 -1

3.top1 + top2 = MAXSIZE

4.(top1= MAXSIZE/2) or (top2 = MAXSIZE)

After insertion the following node in AVL tree what will be the root node ? 10,20,30,40,50,15,5

1.10

2.20

3.15

4.30

Array is collection of similar data type while structure is collection of:-

1.array

2.Primitive data type

3.Different data type

4.Non primitive data type

Assume that the operators +, -, Ãƒâ€” are left associative and ^ is right associative. The order of precedence (from highest to lowest) is ^, x , +, -. The postfix expression corresponding to the infix ex

1.abc Ãƒâ€” + def ^ ^ -

2.abc Ãƒâ€” - def ^ ^ +

3.abc Ãƒâ€” + de ^ f ^ -

4.abc + Ãƒâ€” def ^ ^ -

Balancing Factor of each node in AVL tree may be:-

1.1

2.-1

3.0

4.All of above

Balancing Factor of each node in B and B+ tree is

1.1

2.0

3.-1

4.All of the above

Best Data Structure for Searching?

1.Heap

2.Binary Tree

3.Array

4.Hashing

Consider n elements that are equally distributed in k stacks. In each stack, elements of it are arranged in ascending order (min is at the top in each of the stack and then increasing downwards). Give

1.O(n logk)

2.O(nk)

3.O(k)

4.O(n)

Consider the following operations performed on a stack of size 5 : Push (a); Pop() ; Push(b); Push(c); Pop(); Push(d); Pop();Pop(); Push (e) Which of the following statements is correct?

1.Underflow occurs

2.Stack operations are performed smoothly

3.Overflow occurs

4.None of the above

Consider the following pseudocode that uses a stack declare a stack of characters while ( there are more characters in the word to read ) { read a character push the character on the stack

1.Question

2.iontQues

3.QuesQues

4.noitseuQ

Consider the following statements: i. First-in-first out types of computations are efficiently supported by STACKS. ii. Implementing LISTS on linked lists is more efficient than implementing LIST

1.(ii) and (iii) are true

2.(i) and (iii) are true

3.(i) and (ii) are true

4.(ii) and (iv) are true

Consider the postfix expression 2 3 2 * 6 / 5 + + 8 / 1 + Solve this expression by using stack and it give:-

1.2

2.1

3.12

4.34

Convert the following infix expression into its equivalent post fix expression (A + B^ D) / (E * F) + G

1.ABD^ + EF * / G+

2.ABD+ ^ EF * / G+

3.ABD^ + EF / - G+

4.ABD + EF * / G+ ^

Following is C like pseudo code of a function that takes a number as an argument, and uses a stack S to do processing. void fun(int n) { Stack S; // Say it creates an empty stack S while

1.Prints binary representation of n in reverse order

2.Prints binary representation of n

3.Prints the value of Logn

4.Prints the value of Logn in reverse order

Hashing is a powerful data structure for the:-

1.Sorting

2.Searching

3.Insertion & deletion

4.Storing data in Data base

If the sequence of operations - push (1), push (2), pop, push (1), push (2), pop, pop, pop, push (2), pop are performed on a stack, the sequence of popped out values

1.2,2,1,1,2

2.2,2,1,2,2

3.2,1,2,1,2

4.2,1,1,2,2

In circular link list, the last node contain the address of the:-

1.It contain NULL

2.first node

3.Both of the above

4.None of the above

In max Heap, the cost of finding largest element is :-

1.O(n)

2.O(logn)

3.O(nlogn)

4.O(1)

In max Heap, the cost of finding smallest number is:-

1.O(logn)

2.O(n)

3.O(nlogn)

4.O(1)

In min Heap, the cost of finding smallest elements is:-

1.O(n)

2.O(1)

3.O(logn)

4.None of the above

int func(struct node *ptr) { if(ptr==NULL) return; func(ptr->left); func(ptr->right); printf("%d",ptr->data); } The above function computes the :-

1.Postorder of BST

2.Inorder of BST

3.Preorder of BST

4.None of the above

int func(struct node *ptr) { if(ptr==NULL) return; func(ptr->left); printf("%d",ptr->data); func(ptr->right); } The above function computes the :-

1.Postorder of BST

2.Inorder of BST

3.Preorder of BST

4.None of the above

int func(struct node *ptr) { if(ptr==NULL) return; printf("%d",ptr->data); func(ptr->left); func(ptr->right); } The above function computes the :-

1.Postorder of BST

2.Inorder of BST

3.Preorder of BST

4.All of the above

Let S be a stack of size n >= 1. Starting with the empty stack, suppose we push the first n natural numbers in sequence, and then perform n pop operations. Assume that Push and Pop operation take X se

1.n(X+ Y)

2.3Y + 2X

3.n(X + Y)-X

4.Y + 2X

Stack A has the entries a, b, c (with a on top). Stack B is empty. An entry popped out of stack A can be printed immediately or pushed to stack B. An entry popped out of the stack B can be only be pri

1.b a c

2.a b c

3.c a b

4.b a c

Stack is implemented by:-

1.Array

2.Link list

3.Both of the above

4.None of the above

Suppose a stack is to be implemented with a linked list instead of an array. What would be the effect on the time complexity of the push and pop operations of the stack implemented using linked list (

1.O(1) for insertion and O(n) for deletion

2.O(1) for insertion and O(1) for deletion

3.O(n) for insertion and O(1) for deletion

4.O(n) for insertion and O(n) for deletion

The best data structure to check whether an arithmetic expression has balanced parenthesis is a

1.Queue

2.Tree

3.Heap

4.Stack

The cost of construct the Heap is :-

1.O(n)

2.O(nlogn)

3.O(log(logn))

4.None of the above

The five items: A, B, C, D, and E are pushed in a stack, one after other starting from A. The stack is popped four items and each element is inserted in a queue. The two elements are deleted from the

1.A

2.B

3.C

4.D

The following node are inserted sequentially in Binary search tree:- 30,3,50,10,5,70,80,75,60,45 what will be the Inorder of above BST?

1.3,5,10,30,45,50,60,70,75,80

2.80,5,10,30,45,50,60,70,75,3

3.30,3,50,10,45,70,5,60,75,80

4.3,5,10,30,45,50,70,60,80,75

The following node are inserted sequentially in Binary search tree:- 30,3,50,10,5,70,80,75,60,45 what will be the preorder of above BST?

1.30,3,10,5,50,45,60,70,75,80

2.No preorder exist

3.Preorder of every BST is in increasing order of numbers

4.30,3,10,5,50,45,70,60,80,75

The following postfix expression with single digit operands is evaluated using a stack: 8 2 3 ^ / 2 3 * + 5 1 * - Note that ^ is the exponentiation operator. The top two elements of t

1.7,2

2.1,1

3.6,1

4.Empty

The minimum number of stacks needed to implement a queue is

1.1

2.3

3.2

4.4

The result evaluating the postfix expression 10 5 + 60 6 / * 8 Ã¢â‚¬â€œ is

1.123

2.142

3.34

4.289

The seven elements A, B, C, D, E, F and G are pushed onto a stack in reverse order, i.e., starting from G. The stack is popped five times and each element is inserted into a queue.Two elements are del

1.A

2.B

3.F

4.G

To evaluate an expression without any embedded function calls:

1.One stack is enough

2.Two stacks are needed

3.As many stacks as the height of the expression tree are needed

4.A Turing machine is needed in the general case

Which of the following are true:

1.Insertion in stack is done at the bottom of the stack

2.Searching an element in link list is performed in O(1)

3.Every binary search tree is binary tree

4.Every binary tree is binary search tree

Which of the following are true:

1.Stack are the LIFO

2.Queue is FIFO

3.Queue is LILO

4.All of the above

Which of the following are True?

1.Every Binary Tree is binary search tree

2.Binary search tree is AVL tree

3.Every AVL tree is binary tree

4.No relation between the binary tree and the AVL tree

Which of the following is not an inherent application of stack?

1.Implementation of recursion

2.Evaluation of a postfix expression

3.Job scheduling

4.Reverse a string

Which of the following is true about linked list implementation of stack?

1.In push operation, if new nodes are inserted at the beginning of linked lis

2.In push operation, if new nodes are inserted at the end, then in pop operat

3.Both of the above

4.None of the above

Which of the following permutation can be obtained in the same order using a stack assuming that input is the sequence 5, 6, 7, 8, 9 in that order?

1.7, 8, 9, 5, 6

2.5, 9, 6, 7, 8

3.7, 8, 9, 6, 5

4.9, 8, 7, 5, 6

Which of the following sorting are the stable sorting:-

1.Insertion Sort

2.Selection Sort

3.Bubble Sort

4.All of the above

Which of the following tree support the sequential search?

1.AVL tree

2.B tree

3.B+ tree

4.Complete Binary tree

Which one of the following is an application of Stack Data Structure?

1.Arithmetic expression evaluation

2.Managing function calls

3.The stock span problem

4.All of the above

Worst Time complexity for searching an element in Binary search tree is:

1.O(logn)

2.O(n)

3.O(1)

4.O(nlogn)

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