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Option 4 : Both conclusion I and II follow

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

[ alt="GATE EC 2015 paper 2 Images-Q7" src="//storage.googleapis.com/tb-img/production/16/10/GATE%20EC_2015%20paper%202_Images-Q7.PNG" style="height:170px; width:175px">

Conclusions:

I. All film directors are playback singers → Clearly true.

II. Some film star are film directors → Clearly true.

Thus both conclusion I and II follows.

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