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Option 2 : Both I and II follow

Consider the following least possible Venn diagram,

[ alt="Syllogism Sarthak 30-12-17 5q hindi HinRev images Q4" src="//storage.googleapis.com/tb-img/production/18/01/Syllogism_Sarthak_30-12-17_5q_hindi_HinRev_images_Q4.PNG" style="height:219px; width:505px">

Conclusions:

I. Some Doctor being Politician is a possibility → possibility is true as shown below

[ alt="Syllogism Sarthak 30-12-17 5q hindi HinRev images Q4a" src="//storage.googleapis.com/tb-img/production/18/01/Syllogism_Sarthak_30-12-17_5q_hindi_HinRev_images_Q4a.PNG">

II. Some Politician being Honest is a possibility → possibility is true.

Hence both conclusion I and II follow.
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