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GATE CSE 1997 | Question: 16
In this GATE ques- Part a) For Size balanced tree the recurrence (max height) is T(h)=T(h-1) +T(h-2) +1, solving which we get T(0)=1, T(1)=2,T(2)=1+2+1=4, T(3)=4+2+1=7 Here, T(0),T(1),T(2) are of the form 2h but T(3) is not equal to 23 then how can we claim that "size-balance binary tree of height 'h' contain at least 2h nodes." ?

Mamta Satywali asked in DS Mar 14, 2018

by Mamta Satywali

785 views

12 votes

1 answer

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GATE CSE 1997 | Question: 76-b
Consider the following relational database schema: EMP (eno name, age) PROJ (pno name) INVOLVED (eno, pno) EMP contains information about employees. PROJ about projects and involved about which employees involved in which projects. The underlined attributes are the primary ... makes a copy of $\text{EMP}$ and names it $E$ ($\rho$ is called the rename operator))

go_editor asked in Databases Feb 8, 2018

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1 vote

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GATE-1997 (1-marks question) logic function and minimization
Let * be define as x*y=x'+y. let z=x*y value of z*x is ... 1>x'+y 2>x 3>0 4>1

air1ankit asked in Digital Logic Sep 1, 2017

430 views

4 votes

0 answers

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GATE-1997
Which of the following is essential for converting an infix expression into postfix? a - An operator stack b - An operand stack c - both a and b d - A parse tree I understand that you do not require an operand stack; only operator stack can do the job. But don't the parse tree also qualify for the answer?

Hardik1997 asked in DS Jul 11, 2017

630 views

1 vote

3 answers

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Deadlock
A computer has six tape drivers, with n processes competing for them. Each process may need two drivers. What is the maximum value of n for the system to be deadlock free? a] 6 b] 5 c] 4 d] 3

Cruise Device asked in Operating System Jan 16, 2016

by Cruise Device

564 views

12 votes

3 answers

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GATE CSE 1997 | Question: 76-a
Consider the following relational database schema: EMP (eno name, age) PROJ (pno name) INVOLVED (eno, pno) EMP contains information about employees. PROJ about projects and involved about which employees involved in which projects. The underlined ... which is equivalent to SQL query. select eno from EMP|INVOLVED where EMP.eno=INVOLVED.eno and INVOLVED.pno=3

go_editor asked in Databases Oct 15, 2015

4.9k views

39 votes

4 answers

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GATE CSE 1997 | Question: 75
An operating system handles requests to resources as follows. A process (which asks for some resources, uses them for some time and then exits the system) is assigned a unique timestamp are when it starts. The timestamps are monotonically increasing with time. Let us denote ... , show how. If not prove it. Can a process P ever starve? If yes, show how. If not prove it.

go_editor asked in Operating System Oct 15, 2015

6.1k views

32 votes

2 answers

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GATE CSE 1997 | Question: 74
A program $P$ reads and processes $1000$ consecutive records from a sequential file $F$ stored on device $D$ without using any file system facilities. Given the following Size of each record $= 3200$ bytes Access time of $D = 10$ ... a blocking factor of $2$ (i.e., each block on $D$ contains two records of $F$) and $P$ uses one buffer?

go_editor asked in Operating System Oct 15, 2015

5.9k views

7 votes

3 answers

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GATE CSE 1997 | Question: 73
A concurrent system consists of $3$ processes using a shared resource $R$ in a non-preemptible and mutually exclusive manner. The processes have unique priorities in the range $1 \dots 3$, $3$ being the highest priority. It is required to synchronize ... =true; else begin V(proceed [priority]); busy:=true; end V(mutex) Give the pseudo code for the procedure release_R.

go_editor asked in Operating System Oct 15, 2015

1.4k views

16 votes

1 answer

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GATE CSE 1997 | Question: 72
Following floating point number format is given $f$ is a fraction represented by a $6-bit$ mantissa (includes sign bit) in sign magnitude form, $e$ is a $4-bit$ exponent (includes sign hit) in sign magnitude form and $n=(f, e) = f. 2^e$ ... addition of $A$ and $B.$ What is the percentage error (up to one position beyond decimal point) in the addition operation in (b)?

go_editor asked in Digital Logic Oct 15, 2015

2.2k views

21 votes

1 answer

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GATE CSE 1997 | Question: 71
Let $f=(\bar{w} + y)(\bar{x} +y)(w+\bar{x}+z)(\bar{w}+z)(\bar{x}+z)$ Express $f$ as the minimal sum of products. Write only the answer. If the output line is stuck at $0$, for how many input combinations will the value of $f$ be correct?

go_editor asked in Digital Logic Oct 15, 2015

2.4k views

19 votes

1 answer

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GATE CSE 1997 | Question: 70
Following is a state table for time finite state machine. ... . For example if states $X$ and $Y$ are equivalent then use $XY$ as the name for the equivalent state in the minimal machine).

go_editor asked in Theory of Computation Oct 15, 2015

6.2k views

0 votes

0 answers

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GATE CSE 1997 | Question: 24

Kathleen asked in Others Sep 29, 2014

437 views

4 votes

0 answers

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GATE CSE 1997 | Question: 23
The language $L,$ defined by the following grammar, allows use of real or integer data in expressions and assignment statements. <assign-stmt> :: <LHS> := <E> <E> ::= <E> + <T>|<T> <T> :: ... that the name and type of variable can be obtained by making the function calls' give_name $(id)$ and give_type $(id)$ respectively.

Kathleen asked in Compiler Design Sep 29, 2014

1.1k views

0 votes

0 answers

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GATE CSE 1997 | Question: 22

Kathleen asked in Others Sep 29, 2014

269 views

39 votes

2 answers

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GATE CSE 1997 | Question: 21
Given that $L$ is a language accepted by a finite state machine, show that $L^P$ and $L^R$ are also accepted by some finite state machines, where $L^P = \left\{s \mid ss' \in L \text{ some string }s'\right\}$ $L^R = \left\{s \mid s \text{ obtained by reversing some string in }L\right\}$

Kathleen asked in Theory of Computation Sep 29, 2014

4.1k views

22 votes

1 answer

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GATE CSE 1997 | Question: 20
Construct a finite state machine with minimum number of states, accepting all strings over $(a,b)$ such that the number of $a$'s is divisible by two and the number of $b$'s is divisible by three.

Kathleen asked in Theory of Computation Sep 29, 2014

10.2k views

39 votes

5 answers

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GATE CSE 1997 | Question: 19
A $B^+$ - tree of order $d$ is a tree in which each internal node has between $d$ and $2 d$ key values. An internal node with $M$ key values has $M + 1$ children. The root (if it is an internal node) has between $1$ and $2d$ key values. The distance ... $4$ with $52$ leaves? What is the minimum number of leaves in a $B^+$-tree of order $d$ and height $h(h\geq 1)$?

Kathleen asked in Databases Sep 29, 2014

12.4k views

20 votes

3 answers

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GATE CSE 1997 | Question: 18
Consider the following piece of 'C' code fragment that removes duplicates from an ordered list of integers. Node *remove-duplicates (Node* head, int *j) { Node *t1, *t2; *j=0; t1 = head; if (t1! = NULL) t2 = t1 ->next; ... times statements marked $S2$ get executed? What is the significance of the value in the integer pointed to by $j$ when the function completes?

Kathleen asked in DS Sep 29, 2014

3.9k views

26 votes

2 answers

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GATE CSE 1997 | Question: 17
An array $A$ contains $n \geq 1$ positive integers in the locations $A[1], A[2], \dots A[n]$. The following program fragment prints the length of a shortest sequence of consecutive elements of $A$, $A[i], A[i+1], \dots,A[j]$ ... ◻ end else begin if(j-i) < min then min:=j-i; sum:=sum -A[i]; i:=i+1; end writeln (min +1); end.

Kathleen asked in DS Sep 29, 2014

4.0k views

20 votes

3 answers

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GATE CSE 1997 | Question: 16
A size-balanced binary tree is a binary tree in which for every node the difference between the number of nodes in the left and right subtree is at most $1$. The distance of a node from the root is the length of the path from the root to the ... height $h \geqslant 1$, how many nodes are at distance $h-1$ from the root? Write only the answer without any explanations.

Kathleen asked in DS Sep 29, 2014

3.8k views

10 votes

4 answers

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GATE CSE 1997 | Question: 15
Consider the following function. Function F(n, m:integer):integer; begin if (n<=0) or (m<=0) then F:=1 else F:F(n-1, m) + F(n, m-1); end; Use the recurrence relation ... value of $F(n, m)$? How many recursive calls are made to the function $F$, including the original call, when evaluating $F(n, m)$.

Kathleen asked in Algorithms Sep 29, 2014

3.3k views

19 votes

4 answers

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GATE CSE 1997 | Question: 14
Let $R$ be a reflexive and transitive relation on a set $A$. Define a new relation $E$ on $A$ as $E=\{(a, b) \mid (a, b) \in R \text{ and } (b, a) \in R \}$ Prove that $E$ is an equivalence relation on $A$. Define a relation $\leq$ on the equivalence ... $\exists a, b$ such that $a \in E_1, b \in E_2 \text{ and } (a, b) \in R$. Prove that $\leq$ is a partial order.

Kathleen asked in Set Theory & Algebra Sep 29, 2014

3.0k views

39 votes

3 answers

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GATE CSE 1997 | Question: 13
Let $F$ be the set of one-to-one functions from the set $\{1, 2, \dots, n\}$ to the set $\{1, 2,\dots, m\}$ where $m\geq n\geq1$. How many functions are members of $F$? How many functions $f$ in $F$ satisfy the property $f(i)=1$ for some $i, 1\leq i \leq n$? How many functions $f$ in $F$ satisfy the property $f(i)<f(j)$ for all $i,j \ \ 1\leq i \leq j \leq n$?

Kathleen asked in Set Theory & Algebra Sep 29, 2014

4.9k views

46 votes

6 answers

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GATE CSE 1997 | Question: 12
Consider a hash table with $n$ buckets, where external (overflow) chaining is used to resolve collisions. The hash function is such that the probability that a key value is hashed to a particular bucket is $\frac{1}{n}$. The hash table is initially ... in any of the $K$ insertions? What is the probability that the first collision occurs at the $K^{th}$ insertion?

Kathleen asked in DS Sep 29, 2014

8.4k views

23 votes

4 answers

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GATE CSE 1997 | Question: 11
Consider the grammar $S \rightarrow bSe$ $S \rightarrow PQR$ $P \rightarrow bPc$ $P \rightarrow \varepsilon$ $Q \rightarrow cQd$ $Q \rightarrow \varepsilon$ $R \rightarrow dRe$ $R \rightarrow \varepsilon$ where $S, P, Q, R$ ... $i, j, k, m$? Find the smallest string that has two parse trees.

Kathleen asked in Compiler Design Sep 29, 2014

5.2k views

5 votes

1 answer

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GATE CSE 1997 | Question: 10
Consider the following program in Pseudo-Pascal syntax. program what: var z: integer procedure recur(x): begin if x <= 40 then begin x:x+z recur(x); z:=x+10 end end(*recur*) begin(*what*) z=10; recur(z); writeln(z) end ... by program? How many times is ‘recur’ called? What value is printed by the program if the parameter is passed by reference?

Kathleen asked in Programming Sep 29, 2014

1.7k views

31 votes

4 answers

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GATE CSE 1997 | Question: 9
Consider a graph whose vertices are points in the plane with integer co-ordinates $(x,y)$ such that $1 \leq x \leq n$ and $1 \leq y \leq n$, where $n \geq 2$ is an integer. Two vertices $(x_1, y_1)$ ... only the answer without any explanations. What is the weight of a maximum weight-spanning tree in this graph? Write only the answer without any explanations.

Kathleen asked in Algorithms Sep 29, 2014

5.2k views

0 votes

0 answers

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GATE CSE 1997 | Question: 8

Kathleen asked in Others Sep 29, 2014

347 views

0 votes

0 answers

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GATE CSE 1997 | Question: 7

Kathleen asked in Digital Logic Sep 29, 2014

462 views

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Recent questions tagged gate1997