Consider the two lists List I and List II given below:…

GATE · 2025 · CS · Set 2 · Computer Science & IT

Consider the two lists List I and List II given below:

List IList II(i) Context-free languages(a) Closed under union(ii) Recursive languages(b) Not closed under complementation(iii) Regular languages(c) Closed under intersection\begin{array}{|l|l|}\hline \textbf{List I} & \textbf{List II} \\ \hline \text{(i) Context-free languages} & \text{(a) Closed under union} \\ \hline \text{(ii) Recursive languages} & \text{(b) Not closed under complementation} \\ \hline \text{(iii) Regular languages} & \text{(c) Closed under intersection} \\ \hline \end{array}

For matching of items in List I with those in List II, which of the following option(s) is/are CORRECT?

  1. A.

    (i) – (a), (ii) – (b), and (iii) – (c)

  2. B.

    (i) – (b), (ii) – (a), and (iii) – (c)

  3. C.

    (i) – (b), (ii) – (c), and (iii) – (a)

  4. D.

    (i) – (a), (ii) – (c), and (iii) – (b)

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