1
GATE CSE 2009
MCQ (Single Correct Answer)
+2
-0.6
$$L = {L_1} \cap {L_2}$$ where $${L_1}$$ and $${L_2}$$ are languages defined as follows.
$${L_1} = \left\{ {{a^m}{b^m}\,c\,{a^n}{b^n}\left| {m,n \ge 0} \right.} \right\}$$
$${L_2} = \left\{ {{a^i}{b^i}{c^k}\left| {i,j,k \ge 0} \right.} \right\}$$ Then $$L$$ is
A
Not recursive
B
Regular
C
Context free but not regular
D
Recursively enumerable but not context free
2
GATE CSE 2009
MCQ (Single Correct Answer)
+2
-0.6
GATE CSE 2009 Theory of Computation - Finite Automata and Regular Language Question 45 English

The above $$DFA$$ accepts the set of all strings over $$\left\{ {0,\,\,1} \right\}$$ that

A
Begin either with $$0$$ or $$1$$
B
End with $$0$$
C
End with $$00.$$
D
Contain the substring $$00.$$
3
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Given below are two finite state automata ($$ \to $$ indicates the start state and $$F$$ indicates a final state) GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 49 English 1 GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 49 English 2

Which of the following represents the product automation $$ZY$$?

A
GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 49 English Option 1
B
GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 49 English Option 2
C
GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 49 English Option 3
D
GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 49 English Option 4
4
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Which of the following are regular sets? GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 47 English
A
$${\rm I}$$ & $${\rm I}V$$ only
B
$${\rm I}$$ & $${\rm III}$$ only
C
$${\rm I}$$ only
D
$${\rm I}V$$ only
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