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GATE CSE 2015 Set 3

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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GATE CSE

Consider the equality $$\sum\limits_{i = 0}^n {{i^3}} = X$$ and the following c...
Consider the following array of elements. <p>$$\,\,\,\,\,\,\,\,$$$$〈89, 19, 50, ... Assume that a mergesort algorithm in the worst case takes$$30$$seconds for an ... Let$$f\left( n \right) = n$$and$$g\left( n \right) = {n^{\left( {1 + \sin \,\...
Among simple $$LR (SLR) ,$$ canonical $$LR,$$ and look-ahead $$LR$$ $$(LALR),$$ ...
Consider the following grammar $$G$$ <p>\eqalign{ &amp; \,\,\,\,\,\,\,S \to... Consider a CSMA/CD network that transmits data at a rate of 100 Mbps (10<sup>8</... Consider a network connected two systems located 8000 kilometers apart. The band... In the network 200.20.11.144/27, the fourth octet (in decimal) of the last IP ad... Consider the following statements. <p>I. TCP connections are full duplex <br>I... Two hosts are connected via a packet switch with{10^7}$$bits per second link... Consider a machine with a byte addressable main memory of$${2^{20}}$$bytes, bl... Consider the following reservation table for a pipeline having three stages$${S...
Consider the following code sequence having five instructions $${I_1}$$ to $${I_... Consider a binary tree$$T$$that has$$200$$leaf nodes. Then, the number of no... Given a hash table$$𝑇$$with$$25$$slots that stores$$2000$$elements, the l... While inserting the elements$$71, 65, 84, 69, 67, 83$$in an empty binary searc... The result evaluating the postfix expression$$10\,\,5\, + 60\,\,6/\, * \,8...
Let $$G$$ be a connected undirected graph of $$100$$ vertices and $$300$$ edges....
Consider a B<sup>+</sup> tree in which the search key is 12 bytes long, block si...
Consider the relation $$X\left( {P,Q,R,S,T,U} \right)$$ with the following set ...
Consider the following relation <br>$$\,\,\,\,\,\,\,\,$$ Cinema(theater, address...
Consider the following partial Schedule S involving two transactions $$T1$$ and ...
Let $$\ne$$ be a binary operator defined as $$X \ne Y = X' + Y'$$ where $$𝑋$$...
Given the function $$F = P′ + QR,$$ where $$F$$ is a function in three Boolean v...
Consider the equation $${\left( {43} \right)_x} = {\left( {y3} \right)_8}$$ wher...
The total number of prime implicants of the function <br>$$f\left( {w,x,y,z} \r... In the given matrix$$\left[ {\matrix{ 1 &amp; { - 1} &amp; 2 \cr 0 &amp...
If the following system has non - trivial solution $$px+qy+rz=0$$$$$qx+ry+pz... A function$$f(x)$$is linear and has a value of$$29$$at$$x=-2$$and$$39$$a... If for non-zero$$x,af\left( x \right) + bf\left( {{1 \over x}} \right) = ... The value of $$\mathop {\lim }\limits_{x \to \alpha } {\left( {1 + {x^2}} \right... Choose the most appropriate equation for the function drawn as a thick line, in ... Suppose$${X_i}$$for$$i=1,2,3$$are independent and identically distributed ra... Suppose$$𝑈$$is the power set of the set$$S = \left\{ {1,2,3,4,5,6,} \right\}... The number of $$4$$ digit numbers having their digits in non-decreasing order (f... In a room there are only two types of people, namely Type $$1$$ and Type $$2.$$ ... Let $$R$$ be a relation on the set of ordered pairs of positive integers such th... The maximum number of processes that can be in $$Ready$$ state for a computer sy... Consider the following policies for preventing deadlock in a system with mutuall... For the processes listed in the following table, which of the following scheduli... Consider the following C program segment. <pre><code class="c">#include &lt; std... Consider a software project with the following information domain characteristic... Consider a software program that is artificially seeded with $$100$$ faults. Whi... Consider three software items: Program-$$X,$$ Control Flow Diagram of Program-$$... Let$$L$$be the language represented by the regular expression$$\sum {^ * 0011... Language $${L_1}$$ is polynomial time reducible to language $${L_2}$$ . Language... Which of the following languages are context-free?$\eqalign{ &amp; {L_1} =...
In a web server, ten WebPages are stored with the URLs of the form <br>http://w...

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