Consider the following three claims I. (n + k)m = $$\Theta \,({n^m})$$ where k and m are constants II. 2n+1 = O(2n) II

Consider an array multiplier for multiplying two n bit numbers. If each gate in the circuit has a unit delay, the total

In a heap with n elements with the smallest element at the root, the 7th smallest element can be found in time

What is the weight of a minimum spanning tree of the following graph?

Ram and Shyam have been asked to show that a certain problem Π is NP-complete. Ram shows a polynomial time reduction fro

Let G = (V, E) be a directed graph with n vertices. A path from vi to vj in G is sequence of vertices (vi, vi+1, ……., vj

Let G=(V,E) be an undirected graph with a subgraph G1=(V1,E1). Weights are assigned to edges of G as follows. $$$w(e) =

The usual $$\Theta ({n^2})$$ implementation of Insertion Sort to sort an array uses linear search to identify the positi

The cube root of a natural number n is defined as the largest natural number m such that $${m^3} \le n$$. The complexity

Consider the grammar shown below $$\eqalign{ & S \to iEtSS'\,|\,\,a \cr & S' \to eS\,|\,\,\varepsilon \c

Which of the following suffices to convert an arbitrary CFG to an LL(1) grammar?

In a bottom-up evaluation of a syntax directed definition, inherited attributes can

Assume that the SLR parser for a grammar G has n1 states and the LALR parser for G has n2 states. The relationship betwe

Consider the translation scheme shown below $$\eqalign{ & S \to TR \cr & R \to + T\left\{ {pr{\mathop{\rm

Consider the syntax directed definition shown below. Here, gen is a function that generates the output code, and newtem

Which of the following is NOT an advantage of using shared, dynamically linked libraries as opposed to using statically

Which of the following statements is FALSE?

Consider the grammar shown below. $$\eqalign{ & S \to CC \cr & C \to cC\,|\,d \cr} $$ This grammar is

Which of the following functionalities must be implemented by a transport protocol over and above the network protocol?

The subnet mask for a particular network is 255.255.31.0. Which of the following pairs of IP addresses could belong to t

Which of the following assertions is FALSE about the Internet Protocol (IP)?

Host A is sending data to host B over a full duplex link. A and B are using the sliding window protocol for flow control

A 2 km long broadcast LAN has 107 bps bandwidth and uses CSMA/CD. The signal travels along the wire at 2 × 108 m/s. What

For a pipelined $$CPU$$ with a single $$ALU$$, consider the following situations $$1.\,\,\,\,\,$$ The $$j+1$$ instructio

The following is a scheme for floating point number representation using $$16$$ bits. Let $$s, e,$$ and $$m$$ be the n

Consider the following graph among the following sequences I. a b e g h f II. a b f e h g III. a b f h g e IV. a f g

Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that order into an initially empty binary search tree.

Consider the function f defined below. struct item { int data; struct item * next; }; int f(struct ite

Let S be a stack of size n >= 1. Starting with the empty stack, suppose we push the first n natural numbers in sequen

Consider three data items D1, D2, and D3, and the following execution schedule of transactions T1, T2, and T3. In the di

Which of the following scenarios may lead to an irrecoverable error in a database system?

Consider the following SQL query: Select distinct a1, a2, ..., an From r1, r2, ..., rm Where P; For an arbitrary p

Consider the set of relations shown below and the SQL query that follows. Students: (Roll_number, Name, Date_of_birth) C

Consider the following functional dependencies in a database. $$\eqalign{ & \,\,\,\,Date\,\,of\,\,Birth\,\, \to \,

Consider the $$ALU$$ shown below If the operands are in $$2's$$ complement representation, which of the following oper

Assuming all numbers are in $$2's$$ complement representation, which of the following numbers is divisible by $$11111011

The literal count of a Boolean expression is the sum of the number of times each literal appears in the expression. For

A 1- input, 2- output synchronous sequential circuit behaves as follows. Let $${z_k},\,{n_k}$$ denote the number of $$0’

Consider the following circuit composed of $$XOR$$ gates are non-inverting buffers. The non-inverting buffers have del

$$A$$ system of equations represented by $$AX=0$$ where $$X$$ is a column vector of unknown and $$A$$ is a square matrix

$$\mathop {Lim}\limits_{x \to 0} \,{{Si{n^2}x} \over x} = \_\_\_\_.$$

How many perfect matchings are there in a complete graph of 6 vertices?

$$A$$ graph $$G$$ $$=$$ $$(V, E)$$ satisfies $$\left| E \right| \le \,3\left| V \right| - 6.$$ The min-degree of $$G$$

Consider the following system of linear equations $$$\left[ {\matrix{ 2 & 1 & { - 4} \cr 4 & 3 &amp

Let $$G$$ be an arbitrary graph with $$n$$ nodes and $$k$$ components. If a vertex is removed from $$G$$, the number of

$$m$$ identical balls are to be placed in $$n$$ distinct bags. You are given that $$m \ge kn$$, where $$k$$ is a natural

$$n$$ couples are invited to a party with the condition that every husband should be accompanied by his wife. However,

Let $$A$$ be a sequence of $$8$$ distinct integers sorted in ascending order. How many distinct pairs of sequence, $$B$$

Let P(E) denote the probability of the event E. Given P(A) = 1, P(B) = $${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em

The following resolution rule is used in logic programming. Derive clause $$\left( {P \vee Q} \right)$$ from clauses $$\

Which of the following is NOT an advantage of using shared, dynamically linked libraries as opposed to using statically

A processor uses $$2$$-level page tables for virtual to physical address translation. Page tables for both levels are st

A processor uses $$2$$-level page tables for virtual to physical address translation. Page tables for both levels are st

In a system with $$32$$ bit virtual addresses and $$1$$ $$KB$$ page size, use of one-level page tables for virtual to ph

Using a larger block size in a fixed block size file system leads to

A uni-processor computer system only has two processes, both of which alternate $$10$$ $$ms$$ $$CPU$$ bursts with $$90$$

Suppose we want to synchronize two concurrent processes P and Q using binary semaphores S and T. The code for the proces

Suppose we want to synchronize two concurrent processes P and Q using binary semaphores S and T. The code for the proces

Consider the C program shown below. #include < stdio.h > #define print(x) printf("%d ", x) int x; void Q(int z) {

The following program fragment is written in a programming language that allows global variables and does not allow nest

The following program fragment is written in a programming language that allows global variables and does not allow nest

Which of the following statements is FALSE?

Consider the following class definitions in a hypothetical Object Oriented language that supports inheritance and uses d

Assume the following C variable declaration int * A[10], B[10][10]; Of the following expressions I. A[2] II. A[2] [3] II

Consider the following C function. float f,(float x, int y) { float p, s; int i; for (s=1,p=1,i=1; i < y; i++

Consider the set $$\sum {^ * } $$ of all strings over the alphabet $$\,\sum { = \,\,\,\left\{ {0,\,\,\,1} \right\}.\sum

The regular expression $${0^ * }\left( {{{10}^ * }} \right){}^ * $$denotes the same set as

Define Languages $${L_0}$$ and $${L_1}$$ as follows $${L_0} = \left\{ { < M,\,w,\,0 > \left| {M\,\,} \right.} \rig

A single tape Turing Machine $$M$$ has two states $${q_0}$$ and $${q_1}$$, of which $${q_0}$$ is the starting state. The

If the strings of a language $$L$$ can be effectively enumerated in lexicographic (i.e., alphabetic$$(c)$$ order, which

Nobody knows yet if $$P=NP$$. Consider the language $$L$$ defined as follows $$L = \left\{ {\matrix{ {{{\left( {0 + 1

Consider the following deterministic finite state automation $$M.$$ Let $$S$$ denote the set of seven bit binary stri

Consider the $$NFA$$ $$M$$ shown below. Let the language accepted by $$M$$ be $$L.$$ Let $${L_1}$$ be the language acc