GATE CSE 2001
GATE CSE
Let f(n) = n2 log n and g(n) = n(log n)10 be two positive functions of n. Which of the following statements is correct?
View Question Consider any array representation of an n element binary heap where the
elements are stored from index 1 to index n of t
View Question Randomized quicksort is an extension of quicksort where the pivot is chosen randomly. What is the worst case complexity
View Question The process of assigning load addresses to the various parts of the program and adjusting the code and date in the progr
View Question Which of the following statements is false?
View Question More than one word are put in one cache block to
View Question A $$CPU$$ has $$32$$-bit memory address and a $$256$$ $$KB$$ cache memory. The cache is organized as a $$4$$-way set ass
View Question Which is the most appropriate match for the items in the first column with the items in the second column?
$$X.$$ Indire
View Question Arrange the following configuration for CPU in decreasing order of operating speeds: Hardwired control, vertical micro-
View Question Consider the following datapath of a simple non-pipelined $$CPU.$$ The registers $$A,B,$$ $${A_1},{A_2},$$ $$MDR,$$ the
View Question A processor needs software interrupt to
View Question Consider an undirected unweighted graph G. Let a breadth-first traversal of G be
done starting from a node r. Let d(r, u
View Question How many undirected graphs (not necessarily connected) can be constructed out
of a given set V = { v1,v2,........,vn } o
View Question Which of the following relational calculus expressions is not safe?
View Question Consider a schema $$R(A,B,C,D)$$ and functional dependencies $$A \to B\,\,$$ and $$C \to D\,\,$$. Then the decomposition
View Question $$R(A,B,C,D)$$ is a relation. Which of the following does not have a lossless-join, dependency preserving $$BCNF$$ decom
View Question Consider the circuit given below with initial state $${Q_0} = 1,\,\,{Q_1} = {Q_2} = 0.$$ The state of the circuit is giv
View Question Consider the following circuit with initial state $${Q_0} = {Q_1} = 0.$$ The $$D$$ Flip-Flops are positive edge triggere
View Question Consider the circuit shown below. The output of a $$2:1$$ Mux is given by the function $$(ac+bc)$$
Which of the follow
View Question The $$2's$$ complement representation of $${\left( { - 539} \right)_{10}}$$ in hexadecimal is
View Question Given the following Karnaugh map, which one of the following represents the minimal Sum-Of-Products of the map?
View Question Seven (distinct) car accidents occurred in a week. What is the probability that they all occurred on the same day ?
View Question Let $$f:\,A\, \to B$$ be a function, and let E and F be subsets of A. Consider the following statements about images.
$
View Question Consider the following statements:
S1: There exist infinite sets A, B, C such that
$$A\, \cap \left( {B\, \cup \,C}
View Question Consider the following relations:
$${R_1}\,\,\left( {a,\,\,b} \right)\,\,\,iff\,\,\left( {a + b} \right)$$ is even over
View Question Consider the following statements:
S1: The sum of two singular n x n matrices may be non-singular
S2: The sum of two n
View Question How many 4 digit even numbers have all 4 digits distinct?
View Question how many undirected graphs (not necessarily connected) can be constructed out of a given $$\,\,\,\,V = \left\{ {{v_1},\,
View Question The value of the integral is $${\rm I} = \int\limits_0^{{\raise0.5ex\hbox{$\scriptstyle \pi $}
\kern-0.1em/\kern-0.15em
View Question Consider two well-formed formulas in propositional logic
$$F1:P \Rightarrow \neg P$$
$$F2:\left( {P \Rightarrow \neg P}
View Question Which of the following statements is false?
View Question The process of assigning load addresses to the various parts of the program and adjusting the code and date in the progr
View Question Consider a virtual memory system with $$FIFO$$ page replacement policy. For an arbitrary page access pattern, increasing
View Question Consider a machine with 64 MB physical memory and a 32-bit virtual address space. If the page size is 4KB, what is the a
View Question Which of the following requires a device driver?
View Question Consider a disk with following specifications: $$20$$ surface, $$1000$$ tracks/surface, $$16$$ sectors/track, data densi
View Question Consider a disk with the $$100$$ tracks numbered from $$0$$ to $$99$$ rotating at $$3000$$ $$rpm.$$ The number of sector
View Question Consider a set of $$n$$ tasks with known runtimes $${r_1},{r_2},.....\,{r_n}\,\,$$ to be run on a uniprocessor machine.
View Question A processor needs software interrupt to
View Question A CPU has two modes-privileged and non-privileged. In order to change the mode from privileged to non-privileged
View Question Which of the following does not interrupt a running process?
View Question Where does the swap space reside?
View Question Suppose a processor does not have any stack pointer register. Which of the following statements is true?
View Question Consider Peterson’s algorithm for mutual exclusion between two concurrent processes i and j. The program executed by pro
View Question Consider the following three C functions:
[P1] int*g(void)
{
int x=10;
return(&x);
}
[P2] i
View Question Consider the following C program:
void abc(char *s)
{
if(s[0]=='\0') return;
abc(s+1);
abc(s+1);
printf("%c"
View Question What is printed by the print statements in the program P1 assuming call by
reference parameter passing?
Program P1()
{
View Question Consider the following program
Program P2
var n:int;
procedure W(var x:int)
begin
x=x+1;
View Question Consider the following problem $$X.$$ Given a Turing machine $$M$$ over the input alphabet $$\sum , $$ any state $$q$$ o
View Question Consider the following two statements;
$${S_1}\,\,:\,\,\left\{ {{0^{2n}}\left| {n \ge 1} \right.} \right\}$$ is a regula
View Question Given an arbitrary non-deterministic finite automaton $$(NFA)$$ with $$N$$ states, the maximum number of states in an eq
View Question Consider a $$DFA$$ over $$\sum { = \left\{ {a,\,\,b} \right\}} $$ accepting all strings which have number of $$a'$$s div
View Question Consider the following languages:
$${L_1} = \left\{ {w\,w\left| {w \in {{\left\{ {a,\,b} \right\}}^ * }} \right.} \right
View Question Which of the following statement is true?
View Question