the conditions to choose a city are:
- the city must have never been visited by BOTH.
- the city must be liked by REINA AND Oshin must not have visited it.
the cities are F,G,J,K
and F and G are already out, because the don't respect the first condition (since Reina visited them both as per the problem statement).
we are left with J and K
(1) Reina never visited J, so it might be the one. Oshin have never visited F, but F has been already excluded.
if Reina likes J --> they go to J
if Reina does not like J --> they do not go to j
moreover, city K is not mentioned, Oshin has never visited it but:
if Reina has not visited it and she likes it --> they might go to K
if Reina has not visited and she does not like it --> the might NOT go to K
if Reina has visited K--> it will be excluded by the first condition (ALL THE CITIES MUST NOT BE ALREADY VISITED)
(NOT SUFFICIENT)
(2) Oshin preferences are not important, if he likes or not something is not part of the conditions. (NOT SUFFICIENT)
(1)(2)
statement 2 is not adding anything to statement (1). we know that 2 possible cities might be chosen: J and K, but with several conditions:
-> J is chosen only if Reina likes it
-> K is chosen only if Reina did not visited it and if she likes it.
we don't know if Resina visited K and we don't know weather Reina likes or dislikes J. thus it is not sufficient to say without reasonable doubt if they will visit any of the cities mentioned. (NOT SUFFICIENT)