Directions: In the questions below are given two conclusions followed ...
Explanation:
To find the set of statements that logically satisfies the given conclusions, let's analyze each option:
a) All mail is Hotmail. Some Hotmail is outlook. Some outlook is fastmail. All fastmail is gmail. No gmail is yahoo.
- This statement does not satisfy the conclusion "Some mail is gmail" because it states that all mail is Hotmail, not gmail.
- This statement does not satisfy the conclusion "No yahoo is Hotmail" because it states that some Hotmail is outlook, which does not rule out the possibility of yahoo being Hotmail.
b) Some mail is yahoo. All yahoo is gmail. No gmail is Hotmail. Some Hotmail is outlook. No outlook is fastmail.
- This statement satisfies the conclusion "Some mail is gmail" because it states that some mail is yahoo and all yahoo is gmail.
- This statement satisfies the conclusion "No yahoo is Hotmail" because it states that no gmail is Hotmail and some Hotmail is outlook.
c) Some Fastmail is gmail. All gmail is mail. No mail is yahoo. Some yahoo is not outlook. All outlook is hotmail.
- This statement does not satisfy the conclusion "Some mail is gmail" because it states that some Fastmail is gmail, not mail.
- This statement does not satisfy the conclusion "No yahoo is Hotmail" because it does not provide any information about the relationship between yahoo and Hotmail.
d) All mail is fastmail. Some fastmail is gmail. No gmail is Hotmail. Some Hotmail is yahoo. All yahoo is outlook.
- This statement satisfies the conclusion "Some mail is gmail" because it states that all mail is fastmail and some fastmail is gmail.
- This statement satisfies the conclusion "No yahoo is Hotmail" because it states that no gmail is Hotmail and some Hotmail is yahoo.
Therefore, the correct set of statements that logically satisfies the given conclusions is option B:
- Some mail is yahoo.
- All yahoo is gmail.
- No gmail is Hotmail.
- Some Hotmail is outlook.
- No outlook is fastmail.