# GATE | Sudo GATE 2020 Mock III (24 January 2019) | Question 17

Which of the following option is True?
(A) Time complexity to detect cycle in an directed graph is O(V^2), where V is number of virties and E is number of edges.
(B) Time complexity to find Longest Common Subsequence is O(2^(m+n)), where m, n are sizes of given strings.
(C) Time complexity of Job Sequencing Problem is O(n^2), where n is number of jobs.
(D) Time complexity to find K-th element of two sorted arrays is O(K).

Explanation: Time complexity to detect cycle in an directed graph is O(V^2), where V is number of virties and E is number of edges.

Time complexity to find Longest Common Subsequence is O(m*n), where m, n are sizes of given strings.

Time complexity of Job Sequencing Problem is O(n^2), where n is number of jobs.

Time complexity to find K-th element of two sorted arrays is O(log(K)).

Option (C) is true.

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