In the following question below are given three statements followed by four conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. Some Cards are Black. II. All Black are Jack. III. No Jack is a Queen. Conclusions: I. Some Black are Queen. II. Some Queens are Card. III. No Card is a Jack. IV. No Card is a Queen. ?

Option 4 : None conclusion follows.

Consider the following least possible Venn diagram,

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Conclusions:

I. Some Black are Queen → False (Not possible as All Black are Jack and No Jack is Queen).

II. Some Queens are Card → False (It is possible but not definite).

III. No Card is a Jack → False (Not possible as some Card are Black and all Black are Jack).

IV. No Card is a Queen → False (It is possible but not definite).

Note: Here conclusion II and IV forms a complementary pair, thus either II or IV follows. But this option is not given. So the most appropriate option here is none follows.