Syllogisms Formula
Syllogisms formulas and a topic-wise mock test for logical reasoning placement exams like TCS NQT, Infosys, and Wipro. Revise, then practice.
Key Syllogisms Formulas
Syllogism Basics
Syllogism is a form of logical reasoning with statements and conclusions.
- Statement Types: All, Some, No, Some not
- Venn Diagram: Visual representation of logical relationships
- Logical Connectives: And, Or, If-then, Only if
Venn Diagram Rules
Rules for drawing Venn diagrams:
- All A are B: Circle A inside circle B
- Some A are B: Overlapping circles
- No A are B: Separate circles
- Some A are not B: Circle A partially outside circle B
Logical Rules
Important logical rules to remember:
- All + All = All (If all A are B and all B are C, then all A are C)
- All + Some = Some (If all A are B and some B are C, then some A are C)
- Some + Some = No conclusion (If some A are B and some B are C)
- No + Any = No conclusion
Quick Solving Tips
Steps to solve syllogism problems:
- Step 1: Draw Venn diagram for given statements
- Step 2: Check each conclusion against the diagram
- Step 3: Follow logical rules strictly
- Step 4: Eliminate options that don't follow rules
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