Question: If all A are B and all B are C, can we conclude that all A are C?
Options:
Yes
No
Only if A is a subset of B
Only if C is a subset of B
Correct Answer: Yes
Solution:
Yes, this is a valid syllogism known as transitive reasoning.
If all A are B and all B are C, can we conclude that all A are C?
Practice Questions
Q1
If all A are B and all B are C, can we conclude that all A are C?
Yes
No
Only if A is a subset of B
Only if C is a subset of B
Questions & Step-by-Step Solutions
If all A are B and all B are C, can we conclude that all A are C?
Step 1: Understand that 'A', 'B', and 'C' are groups or categories.
Step 2: The statement 'All A are B' means every member of group A is also a member of group B.
Step 3: The statement 'All B are C' means every member of group B is also a member of group C.
Step 4: Since every member of A is in B (from Step 2), and every member of B is in C (from Step 3), it follows that every member of A must also be in C.
Step 5: Therefore, we can conclude that 'All A are C'.
Syllogism – A form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).
Transitive Reasoning – A logical rule that states if A is related to B and B is related to C, then A is related to C.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
