1
GATE CSE 1997
MCQ (Single Correct Answer)
+1
-0.3
$$\sum { = \left\{ {a,b} \right\},\,\,} $$ which one of the following sets is not countable.
A
Set of all strings over $$\sum {} $$
B
Set of all languages over $$\sum {} $$
C
Set of all regular languages over $$\sum {} $$
D
Set of all languages over $$\sum {} $$ accepted by Turing Machines.
2
GATE CSE 1997
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following regular expressions over $$\left\{ {0,\,\,1} \right\}$$ denotes the set of all strings not containing $$100$$ as substring?
A
$${0^ * }{\left( {1 + 0} \right)^ * }$$
B
$${0^ * }\,\,{1010^ * }$$
C
$${0^ * }\,\,{1^ * }\,\,{01^ * }$$
D
$${0^ * }{\left( {10 + 1} \right)^ * }$$
3
GATE CSE 1997
MCQ (Single Correct Answer)
+2
-0.6
Which of the following languages over $$\left\{ {a,b,c} \right\}$$ is accepted by Deterministic push down automata?
A
$$\left\{ {w \subset {w^R}\left| {w \in \left\{ {a,b} \right\}{}^ * } \right.} \right\}$$
B
$$\left\{ {w{w^R}\left| {w \in \left\{ {a,b,c} \right\}{}^ * } \right.} \right\}$$
C
$$\left\{ {{a^n}{b^n}{c^n}\left| {n \ge 0} \right.} \right\}$$
D
$$\left\{ {w\left| w \right.} \right.$$ is palindrome over $$\left. {\left\{ {a,b,c} \right\}} \right\}$$
4
GATE CSE 1997
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following is not decidable?
A
Given a Turing machine $$M,$$ a stings s and an integer $$k,$$ $$M$$ accepts $$s$$ within $$k$$ steps
B
Equivalence of two given Turing machines
C
Language accepted by a given finite state machine is not empty
D
Language generated by a context free grammar is non empty
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