1
GATE CSE 2007
+2
-0.6
A minimum state deterministic finite automation accepting the language $$L = \left\{ {w\left| {w \in } \right.\,\,{{\left\{ {0,1} \right\}}^ * },\,\,} \right.$$ number of $$0'$$s and $$1'$$s in $$w$$ are divisible by $$3$$ and $$5$$, respectively$$\left. \, \right\}$$ has
A
$$15$$ states
B
$$11$$ states
C
$$10$$ states
D
$$9$$ states
2
GATE CSE 2007
+2
-0.6
Which of the following languages is regular?
A
$$\left\{ {w{w^R}} \right.\left| {w \in \left\{ {0,\,1} \right\}\left. {^ + } \right\}} \right.$$
B
$$\left\{ {w{w^R}} \right.x\left| {x,w \in \left\{ {0,\,1} \right\}\left. {^ + } \right\}} \right.$$
C
$$\left\{ {wx{w^R}} \right.\left| {x,w \in \left\{ {0,\,1} \right\}\left. {^ + } \right\}} \right.$$
D
$$\left\{ {xw{w^R}} \right.\left| {x,w \in \left\{ {0,\,1} \right\}\left. {^ + } \right\}} \right.$$
3
GATE CSE 2007
+2
-0.6
Consider the following finite state automation

The language accepted by this automation is given by the regular expression

A
$${b^ * }a{b^ * }a{b^ * }a{b^ * }$$
B
$${\left( {a + b} \right)^ * }$$
C
$${b^ * }a{\left( {a + b} \right)^ * }$$
D
$${b^ * }a{b^ * }a{b^ * }$$
4
GATE CSE 2007
+2
-0.6
Consider the following finite state automation

The minimum state automation equivalent to the above $$FSA$$ has the following number of states

A
$$1$$
B
$$2$$
C
$$3$$
D
$$4$$
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