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.
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.
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.
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.