Bunuel wrote:
Every store on Main Street in Summitville has an awning, and all of these awnings are either green or red.
If the statement above is true, which one of the following must also be true?
I. Some awnings in Summitville are green.
II. If a store in Summitville does not have an awning, then it is not on Main Street.
III. If a store in Summitville has a red awning, then it is on Main Street.
(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II, and III
I got this wrong the first time. After going through the question again, got the right answer.
Main premise - All the stores on the Main Street of Summitville have awnings.
We have to find must be true options, which means that there is no possibility of the statement being negated.
Now, looking at the statements:
Quote:
I. Some awnings in Summitville are green.
- This could be true or false. The premise says awnings can be red
OR green. They could all be red or they could all be green as well. Hence, this is not always true.
Quote:
II. If a store in Summitville does not have an awning, then it is not on Main Street.
- Correct.
All stores on Main Street have awnings.
Quote:
III. If a store in Summitville has a red awning, then it is on Main Street.
- Again the same logic as the statement I. This could be true or false.
Option C