Coded and Direct Inequalities Reasoning Practice Quiz Level 1
This is the Level 1 Coded and Direct Inequalities practice set on Aptitude360, a logical reasoning quiz on comparing elements through chains of relations. It covers checking conclusions from direct statements, filling missing symbols, finding definitely true or false expressions, and decoding symbols that stand for relations. Most questions include a worked solution.
Topics covered in this inequalities Level 1 set
- Direct inequality chains combining greater than, less than, equal to and their inclusive forms
- Statements followed by conclusions to test for definite truth
- Choosing the symbol that replaces a blank so that given relations hold
- Identifying definitely true and definitely false expressions
- Coded inequalities where symbols such as copyright, star and delta stand for relations
- Phrase-based codes like not greater than and neither smaller than nor equal to
Key inequality rules for direct and coded questions
- Strict sign wins in a chain: \( A>B\ge C\Rightarrow A>C \)
- Both inclusive: \( A\ge B\ge C\Rightarrow A\ge C \)
- Opposite signs break the chain: \( A>B<C \) gives no relation between A and C
- Reversal: \( A\le B\Leftrightarrow B\ge A \)
- Equality carries the other sign: \( A=B>C\Rightarrow A>C \)
Revision tips for coded inequalities
- Decode every symbol into its real sign before reading the conclusions
- Translate phrases carefully: not greater than means less than or equal to
- Link the two elements in a conclusion along one continuous path in the chain
- Remember that an equal sign never weakens a strict sign further along the chain
Who should try this Level 1 set
Beginners in logical reasoning who are learning inequality chains and symbol decoding before moving to harder levels.