Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.
Statements:
1. All coats are hats.
2. Some shoes are hats.
3. No balloons are hats.
Conclusions:
I. No balloons are shoes.
II. Some shoes are coats.

​Statements:
1. All coats are hats.
2. Some shoes are hats.
3. No balloons are hats.

​Conclusions:
I. No balloons are shoes. (False, there is no direct relation between balloons and shoes).
II. Some shoes are coats. (False, there is no direct relation between shoes and coats).

So, ​Neither conclusion I nor II follows.

Thus, correct option is (c).