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1

GATE IT 2007 | Question: 83
The head of a hard disk serves requests following the shortest seek time first (SSTF) policy. What is the maximum cardinality of the request set, so that the head changes its direction after servicing every request if the total number of tracks are $2048$ and the head can start from any track? $9$ $10$ $11$ $12$

comment edited in Operating System Dec 10, 2020

17.9k views

8 answers

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GATE CSE 2017 Set 1 | Question: 48
Let $A$ be an array of $31$ numbers consisting of a sequence of $0$'s followed by a sequence of $1$'s. The problem is to find the smallest index $i$ such that $A\left [i \right ]$ is $1$ by probing the minimum number of locations in $A$. The worst case number of probes performed by an optimal algorithm is ____________.

commented in Algorithms Jan 29, 2020

15.7k views

5 answers

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GATE CSE 2003 | Question: 50
Consider the following deterministic finite state automaton $M$. Let $S$ denote the set of seven bit binary strings in which the first, the fourth, and the last bits are $1$. The number of strings in $S$ that are accepted by $M$ is $1$ $5$ $7$ $8$

commented in Theory of Computation Jul 25, 2019

11.6k views

10 answers

4

GATE CSE 1998 | Question: 27
Consider the following relational database schemes: COURSES (Cno, Name) PRE_REQ(Cno, Pre_Cno) COMPLETED (Student_no, Cno) COURSES gives the number and name of all the available courses. PRE_REQ gives the information about which courses are pre- ... relational algebra: List all the courses for which a student with Student_no 2310 has completed all the pre-requisites.

answered in Databases Jul 15, 2019

5.9k views

1 answer

5

GATE CSE 1988 | Question: 2xvii
Construct a DAG for the following set of quadruples: E:=A+B F:=E-C G:=F*D H:=A+B I:=I-C J:=I+G

commented in Compiler Design Jun 30, 2019

1.8k views

0 answers

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GATE CSE 1990 | Question: 15b
Complete the following production rules which generate the language:$L= \left\{a^{n} b^{n} c^{n}\mid a, b, c \in \Sigma \right\}$ where variables $R$ and $Q$ are used to move back and forth over the current string generated $S \rightarrow aYc$ ... $Qc \rightarrow cQ$ $Q \rightarrow R'c$ $cR' \rightarrow ...$ $bR' \rightarrow ...$ $aR' \rightarrow a...$

commented in Theory of Computation Jun 29, 2019

478 views

2 answers

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GATE CSE 1990 | Question: 12b
Consider the following problem. Given $n$ positive integers $a_{1}, a_{2}\dots a_n,$ it is required to partition them in to two parts $A$ and $B$ ... that part whose sum in smaller at that step. Give an example with $n=5$ for which the solution produced by the greedy algorithm is not optimal.

commented in Algorithms Jun 28, 2019

1.8k views

3 answers

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GATE IT 2007 | Question: 49
Consider the following grammars. Names representing terminals have been specified in capital letters. ... $G_1$ and $G_2$ are regular Both $G_1$ and $G_2$ are context-free but neither of them is regular

commented in Theory of Computation May 22, 2019

9.9k views

8 answers

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GATE CSE 2006 | Question: 34
Consider the regular language $L=(111+11111)^{*}.$ The minimum number of states in any DFA accepting this languages is: $3$ $5$ $8$ $9$

comment edited in Theory of Computation Jan 26, 2019

26.8k views

6 answers

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GATE CSE 2006 | Question: 39
We consider the addition of two $2's$ complement numbers $ b_{n-1}b_{n-2}\dots b_{0}$ and $a_{n-1}a_{n-2}\dots a_{0}$. A binary adder for adding unsigned binary numbers is used to add the two numbers. The sum is denoted by $ c_{n-1}c_{n-2}\dots c_{0}$ and the carry- ... $ c_{out}\oplus c_{n-1}$ $ a_{n-1}\oplus b_{n-1}\oplus c_{n-1}$

commented in Digital Logic Jan 23, 2019

15.3k views

4 answers

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GATE CSE 2006 | Question: 32, ISRO2016-35
Consider the following statements about the context free grammar $G = \left \{ S \rightarrow SS, S \rightarrow ab, S \rightarrow ba, S \rightarrow \epsilon \right \} $ $G$ is ambiguous $G$ produces all strings with equal number of $a$'s ... combination below expresses all the true statements about $G$? I only I and III only II and III only I, II and III

comment edited in Compiler Design Jan 23, 2019

24.8k views

2 answers

12

Inherently ambiguous grammar
Q- Which one of following languages is inherently ambiguous? (A) The set of all strings of the form $\left\{a^nb^n,n>0 \right\}$ (B) $\left\{a^nb^nc^md^m,n,m>0 \right\}$ ... (D) Both (B) and (C) Plz explain.. ..........Is there any criteria on the basis of which we could identify inherently ambiguous grammar

commented in Theory of Computation Jan 23, 2019

13.0k views

4 answers

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GATE CSE 2006 | Question: 4
A relation $R$ is defined on ordered pairs of integers as follows: $(x,y)R(u,v) \text{ if } x<u \text{ and } y>v$ Then $R$ is: Neither a Partial Order nor an Equivalence Relation A Partial Order but not a Total Order A total Order An Equivalence Relation

commented in Set Theory & Algebra Jan 22, 2019

5.9k views

11 answers

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GATE IT 2007 | Question: 28
Consider a hash function that distributes keys uniformly. The hash table size is $20$. After hashing of how many keys will the probability that any new key hashed collides with an existing one exceed $0.5$. $5$ $6$ $7$ $10$

comment reshown in DS Jan 19, 2019

22.7k views

0 answers

15

Test by Bikram | Mock GATE | Test 4 | Question: 35
Let $DM$ be a single-tape, Deterministic Turing machine with tape alphabet $\left \{ blank,0,1 \right \}$, and let $C_i$ denote the (possibly infinite) computation of $DM$ starting with a blank tape. The input to each problem below is ... $k$ distinct tape squares during the computation $C_i.$ III only I and III only II and III only I, II, and III

commented in Theory of Computation Jan 17, 2019

280 views

6 answers

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GATE IT 2006 | Question: 32
Let $L$ be a context-free language and $M$ a regular language. Then the language $L ∩ M$ is always regular never regular always a deterministic context-free language always a context-free language

commented in Theory of Computation Jan 17, 2019

7.5k views

5 answers

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GATE IT 2006 | Question: 21
Consider the following first order logic formula in which $R$ is a binary relation symbol. $∀x∀y (R(x, y) \implies R(y, x))$ The formula is satisfiable and valid satisfiable and so is its negation unsatisfiable but its negation is valid satisfiable but its negation is unsatisfiable

commented in Mathematical Logic Jan 16, 2019

9.9k views

10 answers

18

GATE IT 2006 | Question: 9
In a binary tree, the number of internal nodes of degree $1$ is $5$, and the number of internal nodes of degree $2$ is $10$. The number of leaf nodes in the binary tree is $10$ $11$ $12$ $15$

commented in DS Jan 16, 2019

21.3k views

4 answers

19

GATE IT 2005 | Question: 55
A binary search tree contains the numbers $1, 2, 3, 4, 5, 6, 7, 8.$ When the tree is traversed in pre-order and the values in each node printed out, the sequence of values obtained is $5, 3, 1, 2, 4, 6, 8, 7.$ ... $1, 2, 3, 4, 8, 7, 6, 5$ $2, 1, 4, 3, 6, 7, 8, 5$ $2, 1, 4, 3, 7, 8, 6, 5$

commented in DS Jan 15, 2019

7.0k views

7 answers

20

GATE IT 2005 | Question: 50
In a binary tree, for every node the difference between the number of nodes in the left and right subtrees is at most $2$. If the height of the tree is $h > 0$, then the minimum number of nodes in the tree is $2^{h-1}$ $2^{h-1} + 1$ $2^h - 1$ $2^h$

comment edited in DS Jan 15, 2019

16.4k views

7 answers

21

GATE IT 2005 | Question: 32
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is $3$ $4$ $5$ $6$

comment edited in Probability Jan 13, 2019

18.0k views

4 answers

22

GATE IT 2005 | Question: 9
A dynamic RAM has a memory cycle time of $64$ $\text{nsec}$. It has to be refreshed $100$ times per msec and each refresh takes $100$ $\text{nsec}$ . What percentage of the memory cycle time is used for refreshing? $10$ $6.4$ $1$ $0.64$

comment edited in Digital Logic Jan 11, 2019

7.3k views

4 answers

23

GATE CSE 2003 | Question: 51
Let $G=\left(\left\{S\right\}, \left\{a,b\right\},R,S\right)$ be a context free grammar where the rule set R is $S \to a S b \mid S S \mid \epsilon$ Which of the following statements is true? $G$ is not ambiguous There ... $L(G)$ We can find a deterministic finite state automaton that accepts $L(G)$

comment edited in Theory of Computation Jan 11, 2019

15.0k views

4 answers

24

GATE CSE 2005 | Question: 84a
We are given $9$ tasks $T_1, T_2, \dots, T_9$. The execution of each task requires one unit of time. We can execute one task at a time. Each task $T_i$ has a profit $P_i$ and a deadline $d_i$. Profit $P_i$ is earned if the task is completed before ... profit? All tasks are completed $T_1$ and $T_6$ are left out $T_1$ and $T_8$ are left out $T_4$ and $T_6$ are left out

commented in Algorithms Jan 10, 2019

11.1k views

0 answers

25

What is a good resource to learn all the rules of modular arithmetic?
For example, is there a way to calculate the value of $(7 \times 11 \times 13 \times 17) \% 5$ in terms of the values of $7\%5, 11\%5, 13\%5,$ and $17\%5 $ ?

commented in Mathematical Logic Jan 10, 2019

247 views

4 answers

26

GATE CSE 2005 | Question: 82b
Let $s$ and $t$ be two vertices in a undirected graph $G=(V,E)$ having distinct positive edge weights. Let $[X,Y]$ be a partition of $V$ such that $s \in X$ and $t \in Y$. Consider the edge $e$ having the minimum weight amongst all those edges ... spanning tree a weighted shortest path from $s$ to $t$ an Euler walk from $s$ to $t$ a Hamiltonian path from $s$ to $t$

commented in Algorithms Jan 10, 2019

4.9k views

8 answers

27

GATE CSE 2005 | Question: 50
Let $G(x) = \frac{1}{(1-x)^2} = \sum\limits_{i=0}^\infty g(i)x^i$, where $|x| < 1$. What is $g(i)$? $i$ $i+1$ $2i$ $2^i$

commented in Combinatory Jan 10, 2019

6.2k views

2 answers

28

GATE CSE 2005 | Question: 47
Which one of the following graphs is NOT planar? G1 G2 G3 G4

commented in Graph Theory Jan 10, 2019

6.7k views

1 answer

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Test by Bikram | Mock GATE | Test 1 | Question: 32
Fill in the blanks in the procedure: void Prod (Element Type X, Priority Queue H) { int i; if (IsFull(H)) { Error ("Priority queue is full"); return; } for (i=++H -> size; H -> Elements [i/2]>X; i/=2) _________________ } ... 2]=H$\rightarrow$ Elements $[i/2]$; $H$\rightarrow$ Elements $[i^2 ]=X;$ $H$\rightarrow$ Elements $[i]=X;$

commented in GATE Jan 10, 2019

599 views

4 answers

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GATE CSE 2005 | Question: 42
Let $R$ and $S$ be any two equivalence relations on a non-empty set $A$. Which one of the following statements is TRUE? $R$ $∪$ $S$, $R$ $∩$ $S$ are both equivalence relations $R$ $∪$ $S$ is an equivalence relation $R$ $∩$ $S$ is an equivalence relation Neither $R$ $∪$ $S$ nor $R$ $∩$ $S$ are equivalence relations

commented in Set Theory & Algebra Jan 10, 2019

7.4k views