Problem Solving and Logical Thinking Practice
Reasoning Ability – Inequalities
Inequalities is a scoring topic in reasoning. Questions are based on comparison between quantities using symbols. It requires understanding of relationships and quick logical interpretation.
Basic Symbols
- > → Greater than
- < → Less than
- = → Equal to
- ≥ → Greater than or equal to
- ≤ → Less than or equal to
Basic Concept
Compare elements using given statements and find correct relationship.
Example: A > B and B > C → A > C
Important Rules
- If A > B and B > C → A > C
- If A < B and B < C → A < C
- If A = B → Both are equal
- If direction changes → No definite conclusion
Shortcut Tricks
1. Direct Chain Method
Follow the sequence directly to find relation.
2. Check Direction
Same direction → definite answer Different direction → no conclusion
3. Combine Statements
Link all given relations before concluding.
Examples
Example 1:
A > B, B > C
Conclusion: A > C (True)
Example 2:
A > B, B < C
Conclusion: A ? C (Not definite)
Practice Questions
Q1. A > B, B > C. Find relation between A and C
Answer: A > C
Q2. A < B, B < C. Find relation between A and C
Answer: A < C
Q3. A > B, B < C. Find relation between A and C
Answer: Not definite
Q4. A = B, B > C. Find relation between A and C
Answer: A > C
Speed Strategy
- Check direction of symbols
- Use chain method
- Avoid unnecessary assumptions
- Practice different patterns
Practice Task
1. A > B, B > C, C > D. Find A and D relation
2. A < B, B > C. Find A and C relation
3. A = B, B = C. Find A and C relation
United Nations Assembly
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