Question 1
Code Key:
@ = All, # = Some, $ = No, & = are
A = doctors, B = professionals, C = graduates
Coded Statements:
@ A & B
# B & C
Decoded Conclusions:
I. Some doctors are graduates.
II. All graduates being doctors is a possibility.
Decoding Process:
Step 1: Decode the statements
@ A & B → All doctors are professionals
# B & C → Some professionals are graduates
Step 2: Apply syllogism rules
All A are B (A) + Some B are C (I) = A + I = No definite conclusion
Step 3: Check conclusions
✗ Conclusion I: "Some doctors are graduates" - NOT DEFINITE
✓ Conclusion II: "All graduates being doctors is a possibility" - No negatives, possibility exists
Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories
Answer: Only conclusion II follows
Step 1: Decode the statements
@ A & B → All doctors are professionals
# B & C → Some professionals are graduates
Step 2: Apply syllogism rules
All A are B (A) + Some B are C (I) = A + I = No definite conclusion
Step 3: Check conclusions
✗ Conclusion I: "Some doctors are graduates" - NOT DEFINITE
✓ Conclusion II: "All graduates being doctors is a possibility" - No negatives, possibility exists
Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories
Answer: Only conclusion II follows