1
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Consider the following C program segment:
char p[20];
char *s = "string";
int length = strlen(s);
for(i=0; i < length; i++)
  p[i] = s[length-i];
printf("%s",p);
The output of the program is
A
gnirts
B
string
C
gnirt
D
no output is printed
2
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
The following finite state machine accepts all those binary strings in which the number of $$1's$$ and $$0's$$ are respectively GATE CSE 2004 Theory of Computation - Finite Automata and Regular Language Question 25 English
A
Divisible by $$3$$ and $$2$$
B
Odd and even
C
Even and odd
D
Divisible by $$2$$ and $$3$$
3
GATE CSE 2004
MCQ (Single Correct Answer)
+1
-0.3
Which of the following grammar rules violate the requirements of an operator grammar ? $$P,$$ $$Q, R$$ are non-terminals and $$r, s, t$$ are terminals. $$$\eqalign{ & 1)\,\,\,P \to Q\,R\,\,\,\,\,2)\,\,\,P \to Q\,s\,R \cr & 3)\,\,\,P \to c\,\,\,\,\,\,\,\,\,\,\,4)P \to Q\,t\,R\,r \cr} $$$
A
$$(1)$$ only
B
$$(1)$$ and $$(3)$$ only
C
$$(2)$$ and $$(3)$$ only
D
$$(3)$$ and $$(4)$$ only
4
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Consider the following grammar $$G:$$
$$\eqalign{ & S \to bS\,\left| {\,aA\,\left| {\,b} \right.} \right. \cr & A \to bA\,\left| {\,aB} \right. \cr & B \to bB\,\left| {\,aS\,\left| {\,a} \right.} \right. \cr} $$

Let $${N_a}\left( w \right)$$ and $${N_b}\left( w \right)$$ denote the number of $$a's$$ and $$b's$$ in a string $$w$$ respectively. The language
$$L\left( G \right)\,\,\, \subseteq \left\{ {a,b} \right\} + $$ generated by $$G$$ is

A
$$\left\{ {w\,\left| {Na\left( w \right) > 3Nb\left( w \right)} \right.} \right\}$$
B
$$\left\{ {w\,\left| {Nb\left( w \right) > 3Na\left( w \right)} \right.} \right\}$$
C
$$\left\{ {w\,\left| {Na\left( w \right) = 3k,k \in \left\{ {0,1,2,...} \right\}} \right.} \right\}$$
D
$$\left\{ {w\,\left| {Nb\left( w \right) = 3k,k \in \left\{ {0,1,2,...} \right\}} \right.} \right\}$$
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