Problem Solving and Logical Thinking Practice
Reasoning Ability – Syllogism
Syllogism is a logical reasoning topic based on statements and conclusions. It is a scoring topic in bank exams and requires understanding of basic logical rules.
Basic Concept
Statements are given, followed by conclusions. You must decide which conclusions logically follow.
---Types of Statements
- All A are B
- Some A are B
- No A is B
- Some A are not B
Important Rules
- All + All → All (possible conclusion)
- All + Some → Some
- Some + Some → No definite conclusion
- No + All → Some not
Shortcut Tricks
1. Venn Diagram Method
Use diagrams to visualize relationships.
2. Possibility Case
Sometimes conclusions are possible but not definite.
3. Check Common Terms
Focus on common elements in statements.
Examples
Example 1:
All cats are animals.
All animals are living beings.
Conclusion: All cats are living beings (True)
Example 2:
Some students are boys.
Some boys are players.
Conclusion: Some students are players (Not definite)
Practice Questions
Q1. All A are B, All B are C. Conclusion: All A are C
Answer: True
Q2. Some A are B, Some B are C. Conclusion: Some A are C
Answer: Not definite
Q3. No A is B, All B are C. Conclusion: Some A are not C
Answer: True
Q4. All A are B, Some B are C. Conclusion: Some A are C
Answer: Not definite
Speed Strategy
- Use Venn diagrams quickly
- Apply rules instead of guessing
- Check possibility cases carefully
- Avoid assumptions
Practice Task
1. All X are Y, All Y are Z. Find conclusion
2. Some A are B, Some B are C. Check relation
3. No P is Q, All Q are R. Find conclusion
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