1

GATE CSE 2016 Set 2

MCQ (Single Correct Answer)

+2

-0.6

Consider the following two statements:

$$\,\,\,\,\,\,\,{\rm I}.\,\,\,\,\,$$ If all states of an $$NFA$$ are accepting states then the language accepted by the

$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ $$NFA$$ is $$\sum {^ * } .$$

$$\,\,\,\,\,{\rm I}{\rm I}.\,\,\,\,\,$$ There exists a regular language $$A$$ such that for all languages $$B,A \cap B$$ is

$$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,$$ regular.

Which one of the following is **CORRECT**?

2

GATE CSE 2016 Set 2

MCQ (Single Correct Answer)

+2

-0.6

Consider the following languages:
$$$\eqalign{
& {L_1} = \left\{ {{a^n}{b^m}{c^{n + m}}:m,n \ge 1} \right\} \cr
& {L_2} = \left\{ {{a^n}{b^n}{c^{2n}}:n \ge 1} \right\} \cr} $$$

Which one of the following is **TRUE**?

3

GATE CSE 2016 Set 1

MCQ (Single Correct Answer)

+2

-0.6

Consider the transition diagram of a $$PDA$$ given below with input alphabet $$\sum {\, = \left\{ {a,b} \right\}} $$ and stack alphabet $$\Gamma = \left\{ {X,Z} \right\}.$$ $$Z$$ is the initial stack symbol. Let $$L$$ denote the language accepted by the $$PDA.$$

Which one of the following is **TRUE**?

4

GATE CSE 2015 Set 2

Numerical

+2

-0

The number of states in the minimal deterministic finite automaton corresponding to the regular expression $${\left( {0 + 1} \right)^{\,\, * }}\left( {10} \right)$$ is ________________.

Your input ____

Questions Asked from Finite Automata and Regular Language (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

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