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Mathematical and Logical Reasoning

CBSE · Class 11 · Applied Mathematics

Complete topic list for Mathematical and Logical Reasoning in CBSE Class 11 Applied Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

44 questions20 flashcards5 concepts

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4 Topics · CBSE Class 11 Applied Mathematics

Topics in Mathematical and Logical Reasoning

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

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?
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.
How to score full marks in Mathematical and Logical Reasoning — CBSE Class 11 Applied Mathematics?
Understand the core concepts first, then work through the 44 practice questions available for this chapter. Revise formulas and 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 12 chapters — CBSE Class 11 Applied Mathematics Syllabus

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