1
GATE CSE 1995
MCQ (Single Correct Answer)
+2
-0.6
What is the value of X printed by the following program?
program COMPUTE (input, output);
var
    X:integer;
procedure FIND (X:real);
    begin
    X:=sqrt(X);
    end;
begin
   X:=2
   Find(X)
   Writeln(X)
end
A
2
B
$$\sqrt 2 $$
C
Runtime error
D
None of the above
2
GATE CSE 1995
MCQ (Single Correct Answer)
+2
-0.6
A finite state machine with the following state table has a single input $$X$$ and a single out $$Z$$. GATE CSE 1995 Theory of Computation - Finite Automata and Regular Language Question 57 English

If the initial state is unknown, then the shortest input sequence to reach the final state $$C$$ is here, since initial make unknown $$m$$ $$10$$ input we can each final state $$C$$ with shortest path.

A
$$01$$
B
$$10$$
C
$$101$$
D
$$110$$
3
GATE CSE 1995
MCQ (Single Correct Answer)
+2
-0.6
Which of the following definitions below generates the same language as $$L$$
Where $$L = {\left\{ x \right.^n}{y^n}\left| {n \ge \left. 1 \right\}} \right.$$
i) $$\,\,E \to xEy\left| {xy} \right.$$
ii) $$\,\,xy\left| {\left( {{x^ + }xy{y^ + }} \right)} \right.$$
iii) $${\,\,{x^ + }{y^ + }}$$
$$L = \left\{ {xn\,{y^n}\left| {n \ge 1} \right.} \right\} - $$ generates string where equal no. of $$x$$ and equal no. of $$y's.$$
$$E \to XBy\left| {xy\,abo} \right.$$ generators tips same.
A
(i) only
B
(i) and (ii)
C
(ii) and (iii)
D
(ii) only
4
GATE CSE 1995
MCQ (Single Correct Answer)
+1
-0.3
Consider the grammar with the following productions.
$$S \to a\,\alpha \,\,b\left| {\,\,b\,\alpha } \right.\,c\,\left| {aB} \right.$$
$$S \to \alpha S\,\left| b \right.$$
$$S \to \alpha \,bb\,\left| {ab} \right.$$
$$S\alpha \to bdb\,\left| b \right.$$
the above grammar is
A
Context free grammar
B
Regular grammar
C
Context sensitive grammar
D
$$LR(k)$$
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