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Let L ⊆ {0,1}* be an arbitrary regular language accepted by a minimal DFA with k states. Which one of the following languages must necessarily be accepted by a minimal DFA with k states? 
Study the accompanying Venn diagram that represents groups of persons speaking five different languages as follows. Oblong circle = Marathi ; Rectangle = Kannada, Circle = English, Triangle = Gujarati, Equilateral quadrangle = Hindi Using above information select the false statement/s from following list. (a) Area c represent persons speaking 5 languages but area d represents persons speaking 4 languages only. (b) Areas b and d represent persons speaking same number of languages. (c) Areas f, b and e represent persons speaking same languages. (d) Areas g and h represent persons who speak two languages only. 
Half the graduating class of a college was accepted by a business school. One-third of the class was accepted by a law school. It one-fifth of the class was accepted by both types of school, what fraction of the class was accepted only by a law school?
Consider the DFA A given below Which of the following are FALSE? 1. Complement of L(A) is context-free. 2. L(A) = L((11*0 + 0)(0 + 1)*0*1*) 3. For the language accepted by A, A is the minimal DFA. 4. A accepts all strings over {0, 1} of length at least 2.
According to Naiya̅yikas we ascertain the relation of universal concomitance between x and y :  (A) We can determine the relation only if we can determine the relation of essential identity between x and y   (B) By perceiving that in all cases the presence of x is accompanied by the presence of y  (C) We can determine the relation only if we can determine the relation of cause and effect between x and y  (D) By not perceiving any instance where the presence of x is not accompanied by the presence of y or vice-versa.  Choose the correct answer from the options given below : 
United Nations has declared the year 2019 as 'Indigenous Languages Year'. The purpose is : (a) To protect the Indigenous Languages in the world. (b) To create consciousness about decaying Indigenous Languages. (c) Resurrection of declining these languages. (d) To realise the contribution of these languages to the world cultural diversity. Which of the above purpose/purposes is/are correct ?
Which of the following statement(s) is/are TRUE? (i) For every NFA with an arbitrary number of final states, there is an equivalent NFA with only one final state. (ii) A language that is accepted by a DFA will also be accepted by some NFA.
Which among the following type of relations are considered by Nya̅ya system as necessary relation between middle and major terms? (A) Species - species relation  (B) The causal relation  (C) Member - class relation  (D) Species - genus relation  Choose the correct answer from the options given below :
When a particular ‘statistics’ in a research situation is evidently declared to be significant, which of the following decisions will be considered tenable ? A. Null hypothesis is rejected B. Alternative hypothesis is accepted C. Null hypothesis is accepted D. Alternative hypothesis is rejected E. Null hypothesis along with the alternate hypothesis are accepted. Choose the correct answer from the options given below:
Consider the following statements:
1. A public servant accepted gratification to show favour to a person.
2. A person expecting to become a public servant accepted gratification to show favour.
3. A person not expecting to be in office accepted gratification to show favour.
Which of the above amount to an offence by a public servant u/s 161 Indian Penal Code?