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Option 2 : Only conclusion (I) and (III) follow

The least possible Venn diagram for the given statements is as follows,

[ alt="D60" src="//storage.googleapis.com/tb-img/production/18/06/D60.PNG" style="height:137px; width:323px">

Conclusion:

I. Some beautiful are hardworking → As some beautiful are men and all men are hardworking, some beautiful are definitely hardworking, hence true.

II. Some advocates are not beautiful → It’s possible but not definite, hence false.

III. Some beautiful are not advocate → As some beautiful are hardworking, and no hardworking is advocate, some beautiful are definitely not advocate, hence true.

Hence, only conclusion (I) and (III) follow.

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