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Mathematical and Logical Reasoning — Revision Notes

CBSE · Class 11 · Applied Mathematics

Mathematical and Logical Reasoning revision notes for CBSE Class 11 Applied Mathematics: 4 topics in quick points.

44 questions20 flashcards5 concepts

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Key Topics to Revise

1

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
2

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
3

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'
4

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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Key Concepts

A mathematically acceptable statement isThe denial of a statement pStatements formed by connecting twoTwo types existPhrases like 'there exists' and 'for

Frequently Asked Questions

What are the important topics in Mathematical and Logical Reasoning for CBSE Class 11 Applied Mathematics?
Key topics in Mathematical and Logical Reasoning include Mathematical Statements, Negation and Compound Statements, Implications and Conditionals, Validation Methods. Study these first, then practise questions on each for Class 11 exams.
How should I revise Mathematical and Logical Reasoning for Class 11 exams?
Learn the core ideas first, then work through the 44 practice questions on Mathematical and Logical Reasoning. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All CBSE Class 11 Applied Mathematics Revision Notes

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