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UGC-NET | UGC NET CS 2017 Jan – III | Question 21

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Given the following statements : (A) A class of languages that is closed under union and complementation has to be closed under intersection. (B) A class of languages that is closed under union and intersection has to be closed under complementation. Which of the following options is correct ? (A) Both (A) and (B) are false. (B) Both (A) and (B) are true. (C) (A) is true, (B) is false. (D) (A) is false, (B) is true.

Answer: (C)

Explanation: A class of languages that is closed under union and complementation has to be closed under intersection. Correct. A class of languages that is closed under union and intersection need not to be closed under complementation. Statement II is Incorrect.. So, option (C) is correct.

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Last Updated : 05 Apr, 2018
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