Recent questions tagged gate1995

+2 votes

1 answer

1

GATE1995-15-b
What is the equivalent minimal Boolean expression (in sum of products form) for the Karnaugh map given below?

asked Feb 12 in Digital Logic by jothee Veteran (103k points) | 160 views

+17 votes

3 answers

2

GATE1995-6
What is the number of binary trees with $3$ nodes which when traversed in post-order give the sequence $A, B, C ?$ Draw all these binary trees.

asked Oct 8, 2014 in DS by Kathleen Veteran (59.6k points) | 837 views

+12 votes

2 answers

3

GATE1995-27
Consider the relation scheme. AUTHOR (ANAME, INSTITUTION, ACITY, AGE) PUBLISHER (PNAME, PCITY) BOOK (TITLE, ANAME, PNAME) Express the following queries using (one or more of) SELECT, PROJECT, JOIN and DIVIDE operations. Get the names of all publishers ... with PNAME='TECHNICAL PUBLISHERS'. Get the names of all authors who have published a book for any publisher located in Madras

asked Oct 8, 2014 in Databases by Kathleen Veteran (59.6k points) | 687 views

+16 votes

4 answers

4

GATE1995-26
Consider the relation scheme $R(A, B, C)$ with the following functional dependencies: $A, B → C,$ $C → A$ Show that the scheme R is in $3NF$ but not in $\text{BCNF}$. Determine the minimal keys of relation $R$.

asked Oct 8, 2014 in Databases by Kathleen Veteran (59.6k points) | 1.1k views

+10 votes

1 answer

5

GATE1995-25
Find the minimum value of $3-4x+2x^2$. Determine the number of positive integers $(< 720)$ which are not divisible by any of $2, 3$ or $5.$

asked Oct 8, 2014 in Calculus by Kathleen Veteran (59.6k points) | 546 views

+11 votes

2 answers

6

GATE1995-24
Prove that in finite graph, the number of vertices of odd degree is always even.

asked Oct 8, 2014 in Graph Theory by Kathleen Veteran (59.6k points) | 976 views

+8 votes

2 answers

7

GATE1995-23
Prove using mathematical induction for $n \geq 5, 2^n > n^2$

asked Oct 8, 2014 in Set Theory & Algebra by Kathleen Veteran (59.6k points) | 273 views

+8 votes

1 answer

8

GATE1995-22
How many minimum spanning trees does the following graph have? Draw them. (Weights are assigned to edges).

asked Oct 8, 2014 in Algorithms by Kathleen Veteran (59.6k points) | 826 views

+14 votes

4 answers

9

GATE1995-21
Let $G_1$ and $G_2$ be subgroups of a group $G$. Show that $G_1 \cap G_2$ is also a subgroup of $G$. Is $G_1 \cup G_2$ always a subgroup of $G$?.

asked Oct 8, 2014 in Set Theory & Algebra by Kathleen Veteran (59.6k points) | 659 views

+12 votes

1 answer

10

GATE1995-20
The head of a moving head disk with $100$ tracks numbered $0$ to $99$ is currently serving a request at track $55$. If the queue of requests kept in FIFO order is $10, 70, 75, 23, 65$ which of the two disk scheduling algorithms FCFS (First Come First Served) and SSTF (Shortest Seek Time First) will require less head movement? Find the head movement for each of the algorithms.

asked Oct 8, 2014 in Operating System by Kathleen Veteran (59.6k points) | 1.8k views

+16 votes

1 answer

11

GATE1995-19
Consider the following program segment for concurrent processing using semaphore operators $P$ and $V$ for synchronization. Draw the precedence graph for the statements $S_1$ to $S_9$. var a,b,c,d,e,f,g,h,i,j,k : semaphore; begin cobegin begin S1; V(a); V(b) end; begin P(a); S2; V(c); V(d) end; ... P(g); S6; V(i) end; begin P(h); P(i); S8; V(j) end; begin P(j); P(k); S9 end; coend end;

asked Oct 8, 2014 in Operating System by Kathleen Veteran (59.6k points) | 937 views

+8 votes

2 answers

12

GATE1995-18
The following is an incomplete Pascal function to convert a given decimal integer (in the range $-8$ to $+7$) into a binary integer in $2's$ complement representation. Determine the expressions $A, B, C$ that complete program. function TWOSCOMP (N:integer):integer; var REM, ... do begin REM:=N mod 2; BIANRY:=BINARY + B*EXPONENT; EXPONENT:=EXPONENT*10; N:=C end TWOSCOMP:=BINARY end end;

asked Oct 8, 2014 in Digital Logic by Kathleen Veteran (59.6k points) | 497 views

+3 votes

1 answer

13

GATE1995-17
An asynchronous serial communication controller that uses a start-stop scheme for controlling the serial I/O of a system is programmed for a string of length seven bits, one parity bit (odd parity) and one step bit. The transmission rate is $1200$ bits/second. What ... What is the size of the video buffer RAM for the display to be used in monochrome ($1$ bit per pixel) graphics mode?

asked Oct 8, 2014 in Operating System by Kathleen Veteran (59.6k points) | 502 views

0 votes

0 answers

14

GATE1995-16

asked Oct 8, 2014 in CO & Architecture by Kathleen Veteran (59.6k points) | 194 views

+8 votes

2 answers

15

GATE1995-15-a
Implement a circuit having the following output expression using an inverter and a nand gate $$Z=\overline{A} + \overline{B} +C$$

asked Oct 8, 2014 in Digital Logic by Kathleen Veteran (59.6k points) | 570 views

+23 votes

3 answers

16

GATE1995-14
If the overhead for formatting a disk is $96$ bytes for a $4000$ byte sector, Compute the unformatted capacity of the disk for the following parameters: Number of surfaces: $8$ Outer diameter of the disk: $12$ cm Inner diameter of the disk: $4$ cm ... rpm, determine the effective data transfer rate which is defined as the number of bytes transferred per second between disk and memory.

asked Oct 8, 2014 in Operating System by Kathleen Veteran (59.6k points) | 2.7k views

+11 votes

3 answers

17

GATE1995-13
Obtain the principal (canonical) conjunctive normal form of the propositional formula $$(p \wedge q) \vee (\neg q \wedge r)$$ where $\wedge$ is logical and, $\vee$ is inclusive or and $\neg$ is negation.

asked Oct 8, 2014 in Mathematical Logic by Kathleen Veteran (59.6k points) | 794 views

+10 votes

2 answers

18

GATE1995-12
Consider the following sequence of numbers: $$92, 37, 52, 12, 11, 25$$ Use bubblesort to arrange the sequence in ascending order. Give the sequence at the end of each of the first five passes.

asked Oct 8, 2014 in Algorithms by Kathleen Veteran (59.6k points) | 486 views

+8 votes

2 answers

19

GATE1995-11
Let $L$ be a language over $\Sigma$ i.e., $L\subseteq \Sigma^*$. Suppose $L$ satisfies the two conditions given below. $L$ is in NP and For every $n$, there is exactly one string of length $n$ that belongs to $L$. Let $L^c$ be the complement of $L$ over $\Sigma^*$. Show that $L^c$ is also in NP.

asked Oct 8, 2014 in Theory of Computation by Kathleen Veteran (59.6k points) | 586 views

0 votes

0 answers

20

GATE1995-10

asked Oct 8, 2014 in Non GATE by Kathleen Veteran (59.6k points) | 111 views

+15 votes

1 answer

21

GATE1995-9
Translate the arithmetic expression $a^*-(b+c)$ into syntax tree. A grammar is said to have cycles if it is the case that $A \Rightarrow^+ A$ Show that no grammar that has cycles can be LL(1).

asked Oct 8, 2014 in Compiler Design by Kathleen Veteran (59.6k points) | 925 views

+3 votes

0 answers

22

GATE1995-8
Construct the LL(1) table for the following grammar. $Expr \rightarrow \_Expr$ $Expr \rightarrow (Expr)$ $Expr \rightarrow Var\; ExprTail$ $ExprTail \rightarrow \_Expr$ $Expr \rightarrow \lambda$ $Var \rightarrow Id\; VarTail$ $VarTail \rightarrow (Expr)$ $VarTail \rightarrow \lambda$ $Goal \rightarrow Expr$$

asked Oct 8, 2014 in Compiler Design by Kathleen Veteran (59.6k points) | 312 views

+3 votes

3 answers

23

GATE1995-7
Determine the number of divisors of $600.$ Compute without using power series expansion $\lim_{x \to 0} \frac{\sin x}{x}$

asked Oct 8, 2014 in Set Theory & Algebra by Kathleen Veteran (59.6k points) | 452 views

+13 votes

2 answers

24

GATE1995-5
A computer installation has 1000k of main memory. The jobs arrive and finish in the following sequences. Job 1 requiring 200k arrives Job 2 requiring 350k arrives Job 3 requiring 300k arrives Job 1 finishes Job 4 requiring 120k arrives Job 5 ... 80k arrives Draw the memory allocation table using Best Fit and First Fit algorithms Which algorithm performs better for this sequence?

asked Oct 8, 2014 in Operating System by Kathleen Veteran (59.6k points) | 1.4k views

+7 votes

3 answers

25

GATE1995-4
Consider the following Pascal function where $A$ and $B$ are non-zero positive integers. What is the value of $GET(3, 2)$? function GET(A,B:integer): integer; begin if B=0 then GET:= 1 else if A < B then GET:= 0 else GET:= GET(A-1, B) + GET(A-1, B-1) end; The Pascal procedure given for ... N - 1 do for J:=1 to N do begin TMP:= A[I, J]; A[I, J]:= A[J, I]; A[J, I]:= TMP end end;

asked Oct 8, 2014 in Algorithms by Kathleen Veteran (59.6k points) | 571 views

+13 votes

3 answers

26

GATE1995-3
Consider the following high level programming segment. Give the contents of the memory locations for variables $W, X, Y$ and $Z$ after the execution of the program segment. The values of the variables $A$ and $B$ are $5CH$ and $92H$, respectively. Also indicate error conditions if any. var A, B, ... integer is represented by two bytes) begin X :=A+B Y :=abs(A-B); W :=A-B Z :=A*B end;

asked Oct 8, 2014 in Programming by Kathleen Veteran (59.6k points) | 678 views

+11 votes

1 answer

27

GATE1995-2.25
A computer system has a $4 \ K$ word cache organized in block-set-associative manner with $4$ blocks per set, $64$ words per block. The number of bits in the SET and WORD fields of the main memory address format is: $15, 40$ $6, 4$ $7, 2$ $4, 6$

asked Oct 8, 2014 in CO & Architecture by Kathleen Veteran (59.6k points) | 1.9k views

+13 votes

3 answers

28

GATE1995-2.24
Let $\Sigma=\left\{0,1\right\}, L = \Sigma^*$ and $R=\left\{0^n1^n \mid n > 0\right\} $ then the languages $L \cup R$ and $R$ are respectively regular, regular not regular, regular regular, not regular not regular, not regular

asked Oct 8, 2014 in Theory of Computation by Kathleen Veteran (59.6k points) | 1.1k views

+23 votes

3 answers

29

GATE1995-2.23
A finite state machine with the following state table has a single input $x$ and a single out $z$. present state next state, $z$ $x=1$ $x=0$ $A$ $D, 0$ $B, 0$ $B$ $B, 1$ $C, 1$ $C$ $B, 0$ $D, 1$ $D$ $B, 1$ $C, 0$ If the initial state is unknown, then the shortest input sequence to reach the final state C is: $01$ $10$ $101$ $110$

asked Oct 8, 2014 in Theory of Computation by Kathleen Veteran (59.6k points) | 1.6k views

+13 votes

2 answers

30

GATE1995-2.22
Which of the following statements is true? As the number of entries in a hash table increases, the number of collisions increases. Recursive programs are efficient The worst case complexity for Quicksort is $O(n^2)$ Binary search using a linear linked list is efficient I and II II and III I and IV I and III

asked Oct 8, 2014 in DS by Kathleen Veteran (59.6k points) | 1.5k views

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