Mathematical and Logical Reasoning
CBSE · Class 11 · Applied Mathematics
Quick revision notes for Mathematical and Logical Reasoning — CBSE Class 11 Applied Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Mathematical Statements
- A mathematical statement is a sentence that is either true or false, but not both
- Statements are denoted by small letters p, q, r, etc.
- Ambiguous sentences like 'Mathematics is fun' are NOT mathematical statements
Negation and Compound Statements
- Negation of statement p is denoted by ~p (read as 'not p')
- If p is true, then ~p is false, and vice versa
- Compound statements are formed using connectives: AND, OR, IF-THEN, IF AND ONLY IF
Implications and Conditionals
- IF-THEN statement: 'If p then q' is denoted as p ⇒ q
- Contrapositive of 'If p then q' is 'If ~q then ~p'
- Converse of 'If p then q' is 'If q then p'
Validation Methods
- Direct method: Assume p is true, prove q is true
- Contrapositive method: Assume q is false, prove p is false
- Method of contradiction: Assume opposite and reach contradiction
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What are the important topics in Mathematical and Logical Reasoning for CBSE Class 11 Applied Mathematics?
Mathematical and Logical Reasoning covers several key topics that are frequently asked in CBSE Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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