GRE Exam Logical Reasoning

a principal of a school is forming a committee. there are to be five members, three teachers chosen from Mr. J, Ms K, Ms L, Mr M and Mr N and two students chosen from O, P, Q and R. the formation of a committee must confirm to the following conditions. Mr J will serve only if R is on the committee. Ms L will not serve unless Ms K and O also serve. Neither M nor N will serve without the other if P serves neither Q nor R can serve.

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GRE Other Question

Tate can develop specific software in 15 days, while Kate takes 30 days to complete it. However Tate do not have more than 3 days to devote, therefore he works along with Kate for only first 3 days of the project and leaves Kate to finish the project on his own. Find how many days will Kate need to finish the project now ? (A)20 (B)24 (C)22 (D)21