CAT Syllogism: Tricks, Questions & Easy Explanation
What is Syllogism?
Syllogism is a type of logical reasoning question where conclusions are drawn from given statements. It is an important topic in CAT and other MBA entrance exams.
A syllogism typically consists of:
- Statements (Premises)
- Conclusions
👉 Example:
Statements:
All cats are animals.
All animals are living beings.
Conclusion:
All cats are living beings. ✅
Types of Syllogism
There are mainly three types:
1. Universal Statements
- All A are B
- No A are B
2. Particular Statements
- Some A are B
- Some A are not B
3. Conditional Syllogism
- If A then B
- If B then C
Basic Rules & Concepts
To solve syllogism questions correctly, follow these rules:
- Rule 1: “All” can be converted → Some
👉 All A are B → Some B are A - Rule 2: “Some” cannot be converted always
- Rule 3: Two negative statements → No conclusion
- Rule 4: If one statement is negative → conclusion is negative
- Rule 5: Always check possibility vs certainty
CAT Syllogism Tricks (Shortcuts)
🔥 Trick 1: Use Venn Diagrams
Draw circles to represent relationships between terms.
🔥 Trick 2: Focus on Keywords
- All → Universal
- Some → Particular
- No → Negative
🔥 Trick 3: Elimination Method
Reject wrong options quickly instead of solving fully.
🔥 Trick 4: Practice Standard Patterns
Most CAT questions follow repeated logic patterns.
Solved Examples
✅ Example 1:
Statements:
All apples are fruits.
Some fruits are sweet.
Conclusion:
Some apples are sweet ❌ (Not definite)
👉 Explanation: No direct link between apples and sweet.
✅ Example 2:
Statements:
All dogs are animals.
All animals are mammals.
Conclusion:
All dogs are mammals ✅
Practice Questions
📝 Question 1:
All pens are books.
All books are papers.
Conclusion: All pens are papers
👉 Answer: ✅ True
📝 Question 2:
Some cars are bikes.
Some bikes are trucks.
Conclusion: Some cars are trucks
👉 Answer: ❌ Not definite
📝 Question 3:
No students are teachers.
Some teachers are writers.
Conclusion: Some students are writers
👉 Answer: ❌ False
Common Mistakes
❌ Assuming conclusions without proof
❌ Ignoring “some” vs “all”
❌ Not using diagrams
❌ Confusing possibility with certainty
Conclusion
Syllogism is a scoring topic in CAT if practiced properly. By understanding basic rules, using Venn diagrams, and applying shortcuts, you can solve questions quickly and accurately.
Regular practice and concept clarity are the keys to mastering syllogism for CAT and other competitive exams.
CAT Syllogism Example
Statement 1: All cats have whiskers. Statement 2: Fluffy is a cat.
Conclusion: What can we infer from the given statements?
Answer: Fluffy has whiskers.
Explanation: The syllogism question presents two statements: “All cats have whiskers” and “Fluffy is a cat.” By combining these statements, we can draw the logical conclusion that Fluffy, being a cat, would also possess whiskers. This inference is based on the fact that all cats, according to the first statement, have whiskers. Therefore, the answer to the syllogism question is that Fluffy has whiskers.
Important rules to solve the problem of Syllogism for CAT Logical Reasoning:
- All +All=All
- All +No=No
- All +Some=No conclusion
- Some +All=Some
- Some +No= Some Not
- Some +Some= No Conclusion
- No +All = Some Not(Reversed)
- No +Some=Some Not (Reversed)
- No +No=No Conclusion
Question Statements:
(1) No mouse is dog.
(2) All the dogs are cats.
Conclusions:
(A) No mouse is cat.
(B) No cat is mouse.
(C) Some cats are dogs.
(D) All the cats are dogs.
Answer options:
- Only (B) and (D)
- Only (A) and (C)
- Only (C) and (D)
- Only (C)
- All the four
No tree is a flower. Some trees are fruits.
Conclusions:
(I) Fruits that are trees are not flowers.
(II) No fruit is a flower.
- The only conclusion I follow
- Only conclusion II follows
- Either conclusion I or II follows
- Neither conclusion I nor II follows
Ques: Statements:
Lady’s Finger is tastier than cabbage
Cauliflower is tastier than Lady’s Finger
Cabbage is not tastier than peas
- Peas are as tasty as lady’s finger
- Peas are as tasty as cauliflower and lady’s finger
- Peas are not tastier than lady’s finger
- Cauliflower is tastier than cabbage
- None of the above options
sample questions:
Statements: Some actors are singers. All the singers are dancers.
Conclusions:
- Some actors are dancers.
- No singer is actor.
Statements: Some papers are pens. All the pencils are pens.
Conclusions:
- Some pens are pencils.
- Some pens are papers.
Statements: No door is dog. All the dogs are cats.
Conclusions:
- No door is cat.
- No cat is door.
- Some cats are dogs.
- All the cats are dogs.
Statements: All the locks are keys. All the keys are bats. Some watches are bats.
Conclusions:
- Some bats are locks.
- Some watches are keys.
- All the keys are locks.
Statements: All men are vertebrates. Some mammals are vertebrates.
Conclusions:
- All men are mammals.
- All mammals are men.
- Some vertebrates are mammals.
- All vertebrates are men.
🔥 Advanced CAT Syllogism (High-Level Practice + Tricks)
🧠 Advanced Concepts You Must Know
1. Possibility vs Certainty
- Conclusion can be:
- निश्चित (definite) ✅
- संभव (possible) 🔄
👉 CAT often tests possibility-based conclusions
2. Either / Or Case
Occurs when:
- Two conclusions are individually possible
- But cannot be true together
👉 Example pattern:
- Some A are B
- Some A are not B
➡️ “Either / Or” case possible
3. Complementary Pair
Pairs like:
- Some A are B
- No A are B
👉 One must be true → Either/Or
✏️ Venn Diagram Trick (Text Method)
Instead of drawing, think like this:
- All A are B → A inside B
- Some A are B → partial overlap
- No A are B → separate circles
👉 This saves time in CAT ⏱️
✅ Advanced Solved Examples
🔹 Example 1 (CAT Level)
Statements:
All roses are flowers
Some flowers are red
Conclusions:
- Some roses are red
- All flowers are roses
👉 Answer:
1 ❌ Not definite
2 ❌ False
🔹 Example 2 (Either/Or Case)
Statements:
Some cats are dogs
Conclusions:
- Some cats are not dogs
- All cats are dogs
👉 Answer:
👉 Either 1 or 2 is true ✅
🔹 Example 3 (Tricky)
Statements:
No A are B
Some B are C
Conclusion:
Some C are not A
👉 Answer: ✅ True
👉 Logic:
If B ≠ A and some C = B → those C ≠ A
📝 Advanced Practice Questions
🔸 Q1:
All pens are books
Some books are tables
Conclusion: Some pens are tables
👉 Answer: ❌ Not definite
🔸 Q2:
No apples are mangoes
Some mangoes are fruits
Conclusion: Some fruits are not apples
👉 Answer: ✅ True
🔸 Q3:
Some students are teachers
All teachers are writers
Conclusion: Some students are writers
👉 Answer: ✅ True
🔸 Q4 (CAT Pattern):
Some A are B
Some B are C
Conclusion: Some A are C
👉 Answer: ❌ Not definite
⚠️ High-Level Common Mistakes
- Assuming connection without proof
- Ignoring “some may / may not” logic
- Not identifying either/or cases
- Overusing assumptions
🎯 Speed Strategy for CAT
- Step 1: Identify keywords (All / Some / No)
- Step 2: Check direct connection
- Step 3: Eliminate wrong options
- Step 4: Check possibility
👉 Target: Solve in 30–40 seconds
🌍 Tip (For Students):
- “All A are B” → सभी A, B हैं / બધા A, B છે
- “Some A are B” → कुछ A, B हैं / કેટલાક A, B છે