DBATU Remedial Exam MCQs

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Theory of Computation Demo Test Series-3

Q:    Consider the grammar
S ---> PQ | SQ | PS
P ---> x
Q--> y
To get a string of n terminals, the number of productions to be used is ...

  • A:  2n - 1
  • B:  n2
  • C:  n+1
  • D:  None

Q:   Let L = L1∊L2, where L1 and L2 are languages as defined below:
L1 = {a^{m}b^{m}ca^{n}b^{n} | m, n >= 0 }
L2 = {a^{i}b^{j}c^{k} | i, j, k >= 0 }
Then L is ...

  • A:  Not recursive
  • B:  Context free but not regular
  • C:  Regular
  • D:  Recursively enumerable but not context free.

Q:   The language L = (0n 1n 2n where n > 0) is a ...

  • A:  context free language
  • B:  context-sensitive language
  • C:  regular language
  • D:  recursive enumerable language

Q:    Which of the following pairs have DIFFERENT expressive power?

  • A:  Deterministic push down automata(DPDA)and Non-deterministic push down automata(NPDA)
  • B:  Deterministic finite automata(DFA) and Non-deterministic finite automata(NFA)
  • C:  Deterministic single-tape Turing machine and Non-deterministic single-tape Turing machine
  • D:  Single-tape Turing machine and multi-tape Turing machine

Q:    If every string of a language can be determined, whether it is legal or illegal in finite time, the language is called

  • A:  undecidable
  • B:  interpretive
  • C:  decidable
  • D:  non-deterministic

Q:   The defining language for developing a formalism in which language definitions can be stated, is called

  • A: intermediate language
  • B:  decidable language
  • C:  syntactic meta language
  • D:  high level language

Q:   Consider a grammar : G = { { S } , { 0 , 1 } , p , s } where elements of p are:
S --> ss
S--> 0S1
S--> 1S0
S--> empty
The grammer will generate ...

  • A: context-sensitive language
  • B:  regular language
  • C:  recursive enumerable language
  • D:  context-free language

Q:   Consider the following grammar S --> Ax / By
A --> By/Cw
B --> x / Bw
C--> y Which of the regular expressions describe the same set of strings as the grammar ?

  • A:  xw * y + xw * yx + ywx
  • B:  xwy + xw * xy + ywx
  • C:  xw * y + xw x yx + ywx
  • D:  xw xy + xww * y + ywx

Q:   The logic of pumping lemma is a good example of ...

  • A:  pigeon-hole principle
  • B:  divide-and-conquer technique
  • C:  recursion
  • D:  iteration

Q:   If L1 and L2 are context free language and R a regular set, then which one of the languages below is not necessarily a context free language?

  • A:  L1 ∩ L2
  • B:  L1 ∩ R
  • C:  L1 L2
  • D:  L1 ∪ L2
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