Correct option is C
Statements.
I. Some hotels are dormitories.
II. Some gates are shelters.
III. All shelters are fences.
According to the given statement the ven diagram is
Conclusions:
(I) Some gate are dormitories. (False, There is no direct or indirect relationship between gates and dormitories in the given statements)
(II) some fences are gates. (True, If some gates are shelters, and all shelters are fences, it follows that some gates are fences.)
(III) some hotels are shelters. (False, There is no connection between hotels and shelters in the given statements.)
Thu, correct option is (c).