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RD Sharma Class 11 Solutions Chapter 31 - Mathematical Reasoning (Ex 31.3) Exercise 31.3

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Last updated date: 17th Apr 2024
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RD Sharma Class 11 Solutions Chapter 31 - Mathematical Reasoning (Ex 31.3) Exercise 31.3 - Free PDF

The ability to reason is what makes humans a superior race to the other animals, it is the main weapon nature has granted us. 


The Chapter - Mathematical Reasoning discusses the basics of Reasoning and the process of Reasoning especially in the context of Maths. In Maths, there are two kinds of Reasoning: Inductive and Deductive Reasoning. This Chapter will focus more on the deductive Reasoning part.

Competitive Exams after 12th Science

Vedantu for Chapter 31 - Mathematical Reasoning (Ex 31.3) Exercise 31.3

Free PDF download of RD Sharma Class 11 Solutions Chapter 31 - Mathematical Reasoning Exercise 31.3 solved by Expert Mathematics Teachers on Vedantu. All Chapter 31 - Mathematical Reasoning Ex 31.3 Questions with Solutions for RD Sharma Class 11 Maths to help you to revise the complete syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering Entrance Exams.

FAQs on RD Sharma Class 11 Solutions Chapter 31 - Mathematical Reasoning (Ex 31.3) Exercise 31.3

1. List the important topics covered in RD Sharma Class 11 Chapter 31 - Mathematical Reasoning .

Written below are the most important topics covered in Class 11 Chapter 31 Mathematical Reasoning- 

  • Statements and types of statements

  • Negation of a statement.

  • Compound statements, the difference between simple and compound sentences.

  • Basic connectives (such as “AND”, “OR”).

  • Quantifiers.

  • Implications.

  • Validity of statements with the help of the words “AND”, “OR”, “IF-THEN” and “IF AND ONLY THEN”

  • Validity of statements with the use of contradiction and country examples

Students will be able to easily grasp all these concepts by reading the Exercise questions given in the RD Sharma book. Students should properly read each question from this Chapter.

2. What does Exercise 31.3 entail?

There are six Exercises in Chapter 31 - Mathematical Reasoning, Ex 31.3 is the third Exercise of this Chapter. There are only 4 questions in this Exercise 31.3.

 

There are two types of statements covered in this Chapter, one is a simple statement and the other is a compound statement. Exercise 31.2 entails all about compound statements. The Exercise also touches on the concept of connections (such as “ADD”, “OR”) and explains the meaning behind their use. Students should read each question carefully in Mathematical Reasoning as it is the most important task to do before answering any questions.

3. How many Exercises are there in Chapter 31 and where I can find solutions for those Exercises?

The RD Sharma Class 11 Chapter 31 - Mathematical Reasoning, comprises six Exercises that target the concept of various types of statements, quantifiers and implications, which aims to challenge a students’ deductive Reasoning skills.


To help students in preparation for this Chapter, Vedantu provides solutions to questions of each Exercise. Links to the solutions of the question of all Exercises of Chapter 31 Class 11 are given down here - 

4. What is the Mathematical statements and explain their types as defined in Chapter 31 - Mathematical Reasoning?

Mathematical statements are the fundamental unit of the Chapter Mathematical Reasoning. It is Mathematically acceptable if the statement is either true or even false but it should not be both. There are two types of statements discussed in Chapter 31 of Class 11. These two types of statements are:-


Simple Statement: Any statement which is complete in itself. And does not require another statement to become true are called a simple statement.


Compounds Statement: A statement that is a combination of two or more simple statements, then it is called a compound statement.

5. Explain basic connections (or connectivities) and their relation with compound statements as mentioned in Chapter 31 – Mathematical Reasoning?

The words that are used to combine two statements or to change a simple statement to form a brand new compound statement is called Basic Connections or connectivities. For example the words “AND”, “OR”.

6. How does it affect the validity of compound statements ?

  • The compound statements which include “AND” will only be true, if all the simple statements in that compound statement are true.

  • If any of the component statements is false, then the compound statement with “AND” is also false.

  • For compound statements with “OR”, they are true if at least one or all the component statements of the compound statement is true and is false, only if all the component statements are false.