1
GATE CSE 1998
MCQ (Single Correct Answer)
+1
-0.3
Which of the following sets can be recognized by a Deterministic Finite-state Automation?
A
The numbers $$1, 2, 4, 8, $$ ...... $${2^n},$$ ............. written in binary.
B
The numbers $$1, 2, 4, ..... $$ $${2^n},$$ $$.....$$ written in unary.
C
The set of binary strings in which the numbers of zeros is the same as the numbers of ones.
D
The set $$\left\{ {1,101,11011,1110111,...} \right\}.$$
2
GATE CSE 1998
MCQ (More than One Correct Answer)
+1
-0
The string $$1101$$ does not belong to the set represented by
A
$${110^ * }\,\,\left( {0 + 1} \right)$$
B
$$\,1\,{\left( {0 + 1} \right)^ * }101$$
C
$${\left( {10} \right)^ * }\,{\left( {01} \right)^ * }\,{\left( {00 + 11} \right)^ * }$$
D
$${\left( {00 + {{\left( {11} \right)}^ * }0} \right)^ * }$$
3
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.
4
GATE CSE 1996
MCQ (Single Correct Answer)
+1
-0.3
Let $$L \subseteq \sum {^{^ * }\,} $$ where $$\,\sum { = \,\,\left\{ {a,b} \right\}\,\,} $$ which of the following is true?
A
$$L = \,\,\,\left\{ {\left. x \right|\,\,\,x} \right.$$ has an equal number of $$a's$$ and $$\,\left. {b's} \right\}$$ is regular
B
$$L = \left\{ {{a^n}{b^n}\left| {n \ge 1} \right.} \right\}$$ is regular
C
$$L = \,\,\,\left\{ {\left. x \right|\,\,\,x} \right.\,$$ has more $$a's$$ than $$\left. {b's} \right\}$$ is regular
D
$$L = \left\{ {{a^m}{b^n}\left| {m \ge 1,\,n \ge 1} \right.} \right\}$$ is regular
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