PREVIOUS YEAR SOLVED PAPERS - November 2017 Paper 3

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21. Finite state machine can recognize language generated by __________.

  • Option : C
  • Explanation :
    Finite state machine can recognize language generated by regular grammar only. For detailed information Refer:Designing Finite Automata from Regular Expression So, option (C) is correct option.
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22. Which of the following problems is undecidable?

  • Option : D
  • Explanation : Refer:Undecidability Ambiguity problem for context free grammar is undecidable. So, option (D) is correct.
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23. Pumping lemma for regular language is generally used for proving:

  • Option : D
  • Explanation :
    Pumping lemma is used to prove a language is regular or not. For more information on pumping lemma Refer:Pumping_lemma So, option (D) is correct.
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24. The language L = {aib ci │ i >= 0} over the alphabet {a, b, c} is:

  • Option : C
  • Explanation :
    For a launguage to be recursive it can be decided by Turing machine which means it will enter into final state and reject the rest and for DCFL it must decidable that- for a particular language, next character is going to accepted or not. and for more information Refer:Recursive and Recursive Enumerable Languages So, option (C) is correct.
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25. Suppose we want to download text documents at the rate of 100 pages per second. Assume that a page consists of an average of 24 lines with 80 characters in each line. What is the required bit rate of the channel?

  • Option : D
  • Explanation :
    We have 100 pages, each page is having 24 line and in each line there are 80 character and each character is of 8 bits. Now we have to calculate no of bits can be downloaded: ie.
    Downloading rate = 100 pages
    = 100 pages *24 line * 80 character * 8 bits
    = 1536000 bits per second
    ie 1.536 Mbps.
    So, option (D) is correct.
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November 2017 Paper 3