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Coded Syllogism - Absolute-Beginner Level: core concept mastery Coded Syllogism ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Coded Syllogism - a key topic in Syllogism. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master coded syllogism problems, coded syllogism reasoning questions, and coded syllogism practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Coded Syllogism
Worksheet 1 of 10 (0% complete)

Question 1

Code Key: @ = All, # = Some, $ = No, & = are M = roses, N = flowers, O = plants Coded Statements: @ M & N # N & O Decoded Conclusions: I. Some roses are plants. II. All plants being roses is a possibility.
Decoding Process:

Step 1: Decode the statements
@ M & N → All roses are flowers
# N & O → Some flowers are plants

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 roses are plants" - NOT DEFINITE
✓ Conclusion II: "All plants being roses is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 2

Code Key: @ = All, # = Some, $ = No, & = are P = cats, Q = dogs, R = pets Coded Statements: @ P & Q # Q & R Decoded Conclusions: I. Some cats are pets. II. All pets being cats is a possibility.
Decoding Process:

Step 1: Decode the statements
@ P & Q → All cats are dogs
# Q & R → Some dogs are pets

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 cats are pets" - NOT DEFINITE
✓ Conclusion II: "All pets being cats is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 3

Code Key: @ = All, # = Some, $ = No, & = are M = roses, N = flowers, O = plants Coded Statements: @ M & N # N & O Decoded Conclusions: I. Some roses are plants. II. All plants being roses is a possibility.
Decoding Process:

Step 1: Decode the statements
@ M & N → All roses are flowers
# N & O → Some flowers are plants

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 roses are plants" - NOT DEFINITE
✓ Conclusion II: "All plants being roses is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 4

Code Key: @ = All, # = Some, $ = No, & = are M = roses, N = flowers, O = plants Coded Statements: @ M & N # N & O Decoded Conclusions: I. Some roses are plants. II. All plants being roses is a possibility.
Decoding Process:

Step 1: Decode the statements
@ M & N → All roses are flowers
# N & O → Some flowers are plants

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 roses are plants" - NOT DEFINITE
✓ Conclusion II: "All plants being roses is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 5

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

Question 6

Code Key: @ = All, # = Some, $ = No, & = are X = books, Y = novels, Z = publications Coded Statements: @ X & Y # Y & Z Decoded Conclusions: I. Some books are publications. II. All publications being books is a possibility.
Decoding Process:

Step 1: Decode the statements
@ X & Y → All books are novels
# Y & Z → Some novels are publications

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 books are publications" - NOT DEFINITE
✓ Conclusion II: "All publications being books is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 7

Code Key: @ = All, # = Some, $ = No, & = are M = roses, N = flowers, O = plants Coded Statements: @ M & N # N & O Decoded Conclusions: I. Some roses are plants. II. All plants being roses is a possibility.
Decoding Process:

Step 1: Decode the statements
@ M & N → All roses are flowers
# N & O → Some flowers are plants

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 roses are plants" - NOT DEFINITE
✓ Conclusion II: "All plants being roses is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 8

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

Question 9

Code Key: @ = All, # = Some, $ = No, & = are M = roses, N = flowers, O = plants Coded Statements: @ M & N # N & O Decoded Conclusions: I. Some roses are plants. II. All plants being roses is a possibility.
Decoding Process:

Step 1: Decode the statements
@ M & N → All roses are flowers
# N & O → Some flowers are plants

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 roses are plants" - NOT DEFINITE
✓ Conclusion II: "All plants being roses is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 10

Code Key: @ = All, # = Some, $ = No, & = are X = books, Y = novels, Z = publications Coded Statements: @ X & Y # Y & Z Decoded Conclusions: I. Some books are publications. II. All publications being books is a possibility.
Decoding Process:

Step 1: Decode the statements
@ X & Y → All books are novels
# Y & Z → Some novels are publications

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 books are publications" - NOT DEFINITE
✓ Conclusion II: "All publications being books is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 11

Code Key: @ = All, # = Some, $ = No, & = are P = cats, Q = dogs, R = pets Coded Statements: @ P & Q # Q & R Decoded Conclusions: I. Some cats are pets. II. All pets being cats is a possibility.
Decoding Process:

Step 1: Decode the statements
@ P & Q → All cats are dogs
# Q & R → Some dogs are pets

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 cats are pets" - NOT DEFINITE
✓ Conclusion II: "All pets being cats is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 12

Code Key: @ = All, # = Some, $ = No, & = are M = roses, N = flowers, O = plants Coded Statements: @ M & N # N & O Decoded Conclusions: I. Some roses are plants. II. All plants being roses is a possibility.
Decoding Process:

Step 1: Decode the statements
@ M & N → All roses are flowers
# N & O → Some flowers are plants

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 roses are plants" - NOT DEFINITE
✓ Conclusion II: "All plants being roses is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 13

Code Key: @ = All, # = Some, $ = No, & = are X = books, Y = novels, Z = publications Coded Statements: @ X & Y # Y & Z Decoded Conclusions: I. Some books are publications. II. All publications being books is a possibility.
Decoding Process:

Step 1: Decode the statements
@ X & Y → All books are novels
# Y & Z → Some novels are publications

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 books are publications" - NOT DEFINITE
✓ Conclusion II: "All publications being books is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 14

Code Key: @ = All, # = Some, $ = No, & = are P = cats, Q = dogs, R = pets Coded Statements: @ P & Q # Q & R Decoded Conclusions: I. Some cats are pets. II. All pets being cats is a possibility.
Decoding Process:

Step 1: Decode the statements
@ P & Q → All cats are dogs
# Q & R → Some dogs are pets

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 cats are pets" - NOT DEFINITE
✓ Conclusion II: "All pets being cats is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 15

Code Key: @ = All, # = Some, $ = No, & = are P = cats, Q = dogs, R = pets Coded Statements: @ P & Q # Q & R Decoded Conclusions: I. Some cats are pets. II. All pets being cats is a possibility.
Decoding Process:

Step 1: Decode the statements
@ P & Q → All cats are dogs
# Q & R → Some dogs are pets

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 cats are pets" - NOT DEFINITE
✓ Conclusion II: "All pets being cats is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 16

Code Key: @ = All, # = Some, $ = No, & = are M = roses, N = flowers, O = plants Coded Statements: @ M & N # N & O Decoded Conclusions: I. Some roses are plants. II. All plants being roses is a possibility.
Decoding Process:

Step 1: Decode the statements
@ M & N → All roses are flowers
# N & O → Some flowers are plants

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 roses are plants" - NOT DEFINITE
✓ Conclusion II: "All plants being roses is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 17

Code Key: @ = All, # = Some, $ = No, & = are X = books, Y = novels, Z = publications Coded Statements: @ X & Y # Y & Z Decoded Conclusions: I. Some books are publications. II. All publications being books is a possibility.
Decoding Process:

Step 1: Decode the statements
@ X & Y → All books are novels
# Y & Z → Some novels are publications

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 books are publications" - NOT DEFINITE
✓ Conclusion II: "All publications being books is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 18

Code Key: @ = All, # = Some, $ = No, & = are M = roses, N = flowers, O = plants Coded Statements: @ M & N # N & O Decoded Conclusions: I. Some roses are plants. II. All plants being roses is a possibility.
Decoding Process:

Step 1: Decode the statements
@ M & N → All roses are flowers
# N & O → Some flowers are plants

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 roses are plants" - NOT DEFINITE
✓ Conclusion II: "All plants being roses is a possibility" - No negatives, possibility exists

Coding Pattern:
@ (All), # (Some), $ (No) represent quantifiers
& represents "are"
Letters represent categories

Answer: Only conclusion II follows

Question 19

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

Question 20

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
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