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Option 3 : Both conclusions I and III follow

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

[ alt="Level1 Test 9 Apr 10 30q Revd hindi Reviewed हिंदी.docx 10" src="//storage.googleapis.com/tb-img/production/19/07/Level1_Test%209_Apr%2010_30q_Revd_hindi_Reviewed_%E0%A4%B9%E0%A4%BF%E0%A4%82%E0%A4%A6%E0%A5%80.docx%2010.PNG" style="width: 297px; height: 116px;">

I) Some poles are library → True (as the part of poles i.e., gates are library)

II) Some gates are room → False (as it is possible but not definite)

III) Some libraries are gates → True (as all gates are library)

Hence, the answer is option 3.
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