Saturday, 18 April 2026

 

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Syllogism – Rules & Venn Diagram Shortcut Method

Syllogism questions test logical reasoning using statements and conclusions. Use rules and Venn diagrams for accuracy.


1. Basic Concept

Statements are given, and conclusions must be evaluated logically.

Example:
All A are B
All B are C


2. Venn Diagram Method

Represent statements using circles.

A ⊂ B ⊂ C

This helps to verify conclusions visually.


3. Important Rules

  • All A are B → A inside B
  • No A is B → separate circles
  • Some A are B → overlapping circles
  • Some A are not B → partial outside

4. Standard Conclusions

Example:
All A are B
All B are C

  • All A are C → True
  • Some C are A → True

Tough Problems

Q1:
Statements:
All cats are animals
All animals are mammals

Conclusion:
All cats are mammals

Solution:
True


Q2:
Statements:
Some A are B
Some B are C

Conclusion:
Some A are C

Solution:
Cannot be determined


Q3:
Statements:
No A is B
All B are C

Conclusion:
Some C are not A

Solution:
True


Exam Strategy

  • Use Venn diagram for every question
  • Do not assume extra information
  • Check each conclusion separately
  • Practice different cases


Shaktimatha Learning
Reasoning • Bank Exams • Competitive Preparation

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