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