1
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Match the following $$NFAs$$ with the regular expressions they correspond to GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 56 English 1 GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 56 English 2 GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 56 English 3 GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 56 English 4 GATE CSE 2008 Theory of Computation - Finite Automata and Regular Language Question 56 English 5
A
$$P - 2,\,Q - 1,\,R - 3,\,S - 4$$
B
$$P - 1,\,Q - 3,\,R - 2,\,S - 4$$
C
$$P - 1,\,Q - 2,\,R - 3,\,S - 4$$
D
$$P - 3,\,Q - 2,\,R - 1,\,S - 4$$
2
GATE CSE 2007
MCQ (Single Correct Answer)
+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
3
GATE CSE 2007
MCQ (Single Correct Answer)
+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
$$\left\{ {xw{w^R}} \right.\left| {x,w \in \left\{ {0,\,1} \right\}\left. {^ + } \right\}} \right.$$
4
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the following finite state automation GATE CSE 2007 Theory of Computation - Finite Automata and Regular Language Question 59 English

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
$${b^ * }a{b^ * }a{b^ * }$$
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