1
GATE CSE 2001
MCQ (Single Correct Answer)
+2
-0.6
What is printed by the print statements in the program P1 assuming call by reference parameter passing?
Program P1()
{
     x=10;
     y=3;
     func1(y,x,x);
     print x;
     print y;
}
func1(x,y,z)
{
     y=y+4;
     z=x+y+z;
}
A
10,3
B
31,3
C
27,7
D
None of the above
2
GATE CSE 2001
MCQ (Single Correct Answer)
+2
-0.6
Consider the following problem $$X.$$ Given a Turing machine $$M$$ over the input alphabet $$\sum , $$ any state $$q$$ of $$M$$ And a word $$w\,\,\varepsilon \,\,\sum {^ * ,} $$ does the computation of $$M$$ on $$w$$ visit the state $$q''$$

Which of the following statements about $$X$$ is correct?

A
$$X$$ is decidable
B
$$X$$ is undecidable but partially decidable
C
$$X$$ is undecidable and not even partially decidable
D
$$X$$ is not a decision problem
3
GATE CSE 2001
MCQ (Single Correct Answer)
+1
-0.3
Given an arbitrary non-deterministic finite automaton $$(NFA)$$ with $$N$$ states, the maximum number of states in an equivalent minimized $$DFA$$ is at least
A
$${N^2}$$
B
$${2^N}$$
C
$$2N$$
D
$$N!$$
4
GATE CSE 2001
MCQ (Single Correct Answer)
+1
-0.3
Consider the following two statements;
$${S_1}\,\,:\,\,\left\{ {{0^{2n}}\left| {n \ge 1} \right.} \right\}$$ is a regular language
$${S_2}\,\,:\,\,\left\{ {{0^m}{1^n}{0^{m + n}}\left| {m \ge 1} \right.\,\,and\,\,n \ge \left. 1 \right\}} \right.$$ is a regular language

Which of the following statements is correct?

A
Only $${S_1}$$ is correct
B
Only $${S_2}$$ is correct
C
Both $${S_1}$$ and $${S_2}$$ are correct
D
None of $${S_1}$$ and $${S_2}$$ is correct