GATE CSE 2014 Set 3 | GATE CSE Year Wise Previous Years Questions - ExamSIDE.Com

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Graduate Aptitude Test in Engineering

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1

GATE CSE 2014 Set 3

MCQ (Single Correct Answer)

+1

-0.3

Let $$\sum \, $$ be a finite non - empty alphabet and let $${2^{\sum {{}^ * } }}$$ be the power set of $$\sum {{}^ * .\,} $$ Which one of the following is TRUE?

A

Both $${2^{\sum {{}^ * } }}$$ and $$\sum {^ * } $$ are countable

B

$${2^{\sum {{}^ * } }}$$ is countable and $$\sum {^ * } $$ is uncountable

C

$${2^{\sum {{}^ * } }}$$ is uncountable and $$\sum {^ * } $$ is countable

D

Both $${2^{\sum {{}^ * } }}$$ and $$\sum {^ * } $$ are uncountable

2

GATE CSE 2014 Set 3

MCQ (Single Correct Answer)

+2

-0.6

Which one of the following problems is un-decidable?

A

Deciding if a given context-free grammar is ambiguous.

B

Deciding if a given string is generated by a given context-free grammar.

C

Deciding if the language generated by a given context-free grammar is empty.

D

Deciding if the language generated by a given context-free grammar is finite.

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