Consider the following C functions: int f1(int n){ if(n == 0 || n == 1){ return n; } return (2 * f1(n - 1) + 3 *

The subset-sum problem is defined as follows: Given a set S of n positive integers and a positive integer W, determine

Consider the following C program that attempts to locate an element x in an array Y[] using binary search. The program i

Consider the following C program that attempts to locate an element x in an array Y[] using binary search. The program i

The subset-sum problem is defined as follows. Given a set of n positive integers, S = {a1 ,a2 ,a3 ,…,an} and positive in

The subset-sum problem is defined as follows. Given a set of n positive integers, S = {a1 ,a2 ,a3 ,…,an} and positive in

Dijkstra's single source shortest path algorithm when run from vertex a in the above graph, computes the correct shorte

Consider the Quicksort algorithm. Suppose there is a procedure for finding a pivot element which splits the list into tw

We have a binary heap on n elements and wish to insert n more elements (not necessarily one after another) into this hea

The Breadth First Search algorithm has been implemented using the queue data structure. One possible order of visiting t

Consider the following C functions: int f1(int n){ if(n == 0 || n == 1){ return n; } return (2 * f1(n - 1) + 3 *

The most efficient algorithm for finding the number of connected components in an undirected graph on n vertices and m e

The minimum number of comparisons required to determine if an integer appears more than n/2 times in a sorted array of n

You are given the post order traversal, P, of a binary search tree on the n element, 1,2,....,n. You have to determine t

Consider the following functions: F(n) = 2n G(n) = n! H(n) = nlogn Which of the following statements about the asymptoti

Which of the following describes a handle (as applicable to LR-parsing) appropriately?

Which of the following are true? I. A programming language which does not permit global variables of any kind and has n

An LALR(1) parser for a grammar G can have shift-reduce (S-R) conflicts if and only if

Some code optimizations are carried out on the intermediate code because

The total number of keys required for a set of n individuals to be able to communicate with each other using secret key

A computer on a 10 Mbps network is regulated by a token bucket. The token bucket is filled at a rate of 2 Mbps. It is in

In the slow start phase of the TCP congestion control algorithm, the size of the congestion window

A client process P needs to make a TCP connection to a server process S. Consider the following situation: the server pr

Which of the following system calls results in the sending of SYN packets?

What is the maximum size of data that the application layer can pass on to the TCP layer below?

If a class B network on the Internet has a subnet mask of 255.255.248.0, what is the maximum number of hosts per subnet?

Which of the following are NOT true in a pipelined processor? $$1.$$ Bypassing can handle all RAW hazards $$2.$$ Registe

For all delayed conditional branch instructions, irrespective of whether the condition evaluate true or false,

Which of the following is/are true of the auto increment addressing mode? $$1.$$ It is useful in creating self relocatin

Which of the following must be true for the $$RFE$$ (Return From Exception) instruction on a general purpose processor?

In an instruction execution pipeline, the earliest that the data $$TLB$$ (Translation Look aside Buffer) can be accessed

The following code is to run on a pipelined processor with one branch delay slot $$\eqalign{ & {{\rm I}_1}:\,\,ADD

The use of multiple register windows with overlap causes a reduction in the number of memory accesses for $$1.\,\,\,\,$$

For inclusion to hold between two cache levels $$L1$$ and $$L2$$ in a multilevel cache hierarchy, which of the following

In the $$IEEE$$ floating point representation the hexadecimal value $$0\, \times \,00000000$$ corresponds to

Consider a hash table of size 11 that uses open addressing with linear probing. Let h(k) = k mod 11 be the hash function

Consider the following sequence of nodes for the undirected graph given below. 1.a b e f d g c 2.a b e f c g d 3.a d

You are given the postorder traversal, P, of a binary search tree on the n elements 1, 2,..........., n. You have to det

How many distinct BSTs can be constructed with 3 distinct keys?

A Binary Search Tree (BST) stores values in the range 37 to 573. Consider the following sequence of keys. I. 81, 537, 1

A Binary Search Tree (BST) stores values in the range 37 to 573. Consider the following sequence of keys. I. 81, 537,

The following three are known to be the preorder, inorder and postorder sequences of a binary tree. But it is not known

Which of the following is TRUE?

The following C function takes a single-linked list of integers as a parameter and rearranges the elements of the list.

Consider a file of 16384 records. Each record is 32 bytes long and its key field is of size 6 bytes. The file is ordered

A clustering index is defined on the fields which are of type

Consider the following three schedules of transactions T1, T2 and T3. [ Notation: In the following NYO represents the ac

Let R and S be two relations with the following schema R (P, Q, R1, R2, R3) S (P, Q, S1, S2) Where {P, Q} is the key for

Which of the following tuple relational calculus expression(s) is/are equivalent to $$\forall t \in r \left(P\left(t\rig

Consider The Following Relational Scheme Student (school-id, sch-roll-no, sname, saddress) School (school-id, sch-name,

Consider The Following Relational Scheme Student (school-id, sch-roll-no, sname, saddress) School (school-id, sch-name,

Let $$R\left( {A,\,B,\,C,\,D,E,P,G} \right)$$ be a relational schema in which the following functional dependencies are

Let $$R\left( {A,B,C,D} \right)$$ be a relational schema with the following functional dependencies: $$A \to B,\,\,B \t

Consider the following relational schemes for a library database. Book ( Title, Author, Catalog_ no, Publisher, Year, Pr

Consider the following $$ER$$ diagram Which of the following is a correct attribute set for one of the tables for the

Consider the following $$ER$$ diagram The minimum number of table needed to represent $$M,$$ $$N,$$ $$P, R1, R2$$ is

In the Karnaugh map shown below, $$X$$ denotes a don’t care term. What is the minimal form of the function represented b

If $$P, Q, R$$ are Boolean variables, then $$\left( {P + \overline Q } \right)$$ $$\left( {P.\overline Q + P.R} \right)

Given $${f_1},$$ $${f_3},$$ and $$f$$ in canonical sum of products form (in decimal) for the circuit. $$${f_1} = \sum {m

$$\mathop {\lim }\limits_{x \to \infty } {{x - \sin x} \over {x + \cos \,x}}\,\,Equals$$

A binary tree with $$n>1$$ nodes has $${n_1}$$, $${n_2}$$ and $${n_3}$$ nodes of degree one, two and three respective

A binary tree with $$n>1$$ nodes has $${n_1}$$, $${n_2}$$ and $${n_3}$$ nodes of degree one, two and three respective

$$G$$ is a graph on $$n$$ vertices and $$2n-2$$ edges. The edges of $$G$$ can be partitioned into two edge-disjoint span

$$G$$ is a simple undirected graph. Some vertices of $$G$$ are of odd degree. Add a node $$v$$ to $$G$$ and make it adja

Which of the following statements is true for every planar graph on $$n$$ vertices?

When $$n = {2^{2k}}$$ for some $$k \ge 0$$, the recurrence relation $$$T\left( n \right) = \sqrt 2 T\left( {n/2} \right

In how many ways can $$b$$ blue balls and $$r$$ red balls be distributed in $$n$$ distinct boxes?

The exponent of $$11$$ in the prime factorization of $$300!$$ is

Let $${x_n}$$ denote the number of binary strings of length $$n$$ that contains no consecutive $$0s$$. Which of the foll

Let $${x_n}$$ denote the number of binary strings of length $$n$$ that contain no consecutive $$0s$$. The value of $${x_

What is the chromatic number of the following graph?

A point on a curve is said to be an extremum if it is a local minimum or a local maximum. The number of distinct extrema

If $$\,\,\,\,f\,\,\,\,\left( x \right)$$ is defined as follows, what is the minimum value of $$f\,\left( x \right)$$ for

How many of the following matrices have an eigen value $$1$$? $$\left[ {\matrix{ 1 & 0 \cr 0 & 0 \cr

What is the size of the smallest MIS (Maximal Independent Set) of a chain of nine nodes?

The following system of equations $${x_1}\, + \,{x_2}\, + 2{x_3}\, = 1$$ $${x_1}\, + \,2 {x_2}\, + 3{x_3}\, = 2$$ $${

If $$P, Q, R$$ are subsets of the universal set $$U$$, then $$\left( {P \cap Q \cap R} \right) \cup \left( {{P^c} \cap

What is the probability that in a randomly choosen group of r people at least three people have the same birthday?

Which of the following is the negation of $$$\left[ {\forall x,\alpha \to \left( {\exists y,\beta \to \left( {\forall

$$P$$ and $$Q$$ are two propositions. Which of the following logical expressions are equivalent? $${\rm I}.$$ $${\rm P}\

Which of the following first order formulae is logically valid? Here $$\alpha \left( x \right)$$ is a first order formul

Let fsa and $$pda$$ be two predicates such that fsa$$(x)$$ means $$x$$ is a finite state automation, and pda$$(y)$$ mean

If $$P$$, $$Q$$, $$R$$ are Boolean variables, then $$(P + \bar{Q}) (P.\bar{Q} + P.R) (\bar{P}.\bar{R} + \bar{Q})$

Let X be a random variable following normal distribution with mean + 1 and variance 4. Let Y be another normal variable

Aishwarya studies either computer science or mathematics everyday. If she studies computer science on a day, then the pr

A sample space has two events A and B such that probabilities $$P\,(A\, \cap \,B)\, = \,1/2,\,\,P(\overline A )\, = \,1

A set of Boolean connectives is functionally complete if all Boolean function can be synthesized using those, Which of t

The value of $$\int\limits_0^3 {\int\limits_0^x {\left( {6 - x - y} \right)dxdy\,\,\,} } $$ is _____.

If $$M$$ is a square matrix with a zero determinant, which of the following assertion(s) is (are) correct? $$S1$$ : Eac

A processor uses 36 bit physical addresses and 32 bit virtual addresses, with a page frame size of 4 Kbytes. Each page t

Which of the following is NOT true of deadlock prevention and deadlock avoidance schemes?

For a magnetic disk with concentric circular tracks, the seek latency is not linearly proportional to the seek distance

The data blocks of a very large file in the Unix file system are allocated using

The P and V operations on counting semaphores, where s is a counting semaphore, are defined as follows: P(s): s = s-1;

Which of the following is/are true of the auto-increment addressing mode? $${\rm I}.\,\,\,$$ It is useful in creating se

A process executes the following code for (i = 0; i < n; i + +) fork ( ); The total number of child processes create

What is printed by the following C program? #include < stdio.h > int f(int x, int *py, int **ppz) { int y, z;

Choose the correct option to fill ? 1 and ? 2 so that the program below prints an input string in reverse order. Assume

Which of the following are true? I. A programming language which does not permit global variables of any kind and has no

Which of the following are decidable? $$1.$$ Whether the intersection of two regular languages is infinite $$2.$$ Whethe

Which of the following statements are true? $$1.$$ Every left-recursive grammar can be converted to a right-recursive g

If $$L$$ and $$\overline L $$ are recursively enumerable then $$L$$ is

Which of the following is true for the language $$\left\{ {{a^p}} \right.\left| P \right.$$ prime $$\left. \, \right\}$

Match the following List-$${\rm I}$$ with List - $${\rm II}$$ List-$${\rm I}$$ $$E)$$ Checking that identifiers are decl

Which of the following statement is false?

Match the following $$NFAs$$ with the regular expressions they correspond to

Which of the following are regular sets?

Given below are two finite state automata ($$ \to $$ indicates the start state and $$F$$ indicates a final state) W