# RD Sharma Solutions for Class 11 Maths Chapter 31: Mathematical Reasoning

The chapter forms the basis of the concepts used in electronics and computer coding. It defines the concepts of reasoning and logic. This chapter focuses on reasoning based on the statements of mathematics and introduces some basic principles of Boolean algebra. Students should have studied the deductive approach in the context of Mathematical Induction at this stage. This chapter covers the fundamentals of deductive reasoning. This chapter covers mathematically reasonable statements, linking words/phrases, and more, to help students understand "if and only if (necessary and sufficient) condition," "implies," "and/or," "implied by," "and," "or," "there continues to exist," justifying statements integrating the linking words, and more.

The exercises in Chapter 31 – Mathematical Reasoning further elaborate the concepts and test the knowledge of the students on the subtopics. Below are some of the sub-topics that are covered in this chapter:

• Statements.
• Negation of a statement.
• Compound statements.
• Basic connectives.
1. The word 'AND'.
2. The word 'OR'.
• Quantifiers.
• Implications.
• Validity of statements.
1. Statements with 'AND'.
2. Statements with 'OR'.
3. Statements with 'IF-THEN'.
4. Statements with 'IF AND ONLY IF'.
6. Statements by counterexamples.

Our subject experts devise RD Sharma Solutions as per the new CBSE syllabus to encourage easy learning and help students understand the concepts discussed in this chapter. Thus, students can use RD Sharma Class 11 Maths Solutions book as a reference guide to easily cover all the topics.